{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T22:06:28Z","timestamp":1743026788034,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":12,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642145179"},{"type":"electronic","value":"9783642145186"}],"license":[{"start":{"date-parts":[[2010,1,1]],"date-time":"2010-01-01T00:00:00Z","timestamp":1262304000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2010,1,1]],"date-time":"2010-01-01T00:00:00Z","timestamp":1262304000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010]]},"DOI":"10.1007\/978-3-642-14518-6_12","type":"book-chapter","created":{"date-parts":[[2010,7,8]],"date-time":"2010-07-08T06:45:55Z","timestamp":1278571555000},"page":"110-125","source":"Crossref","is-referenced-by-count":1,"title":["Visualizing Elements of Sha[3] in Genus 2 Jacobians"],"prefix":"10.1007","author":[{"given":"Nils","family":"Bruin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sander R.","family":"Dahmen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"issue":"3-4","key":"12_CR1","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1006\/jsco.1996.0125","volume":"24","author":"W. Bosma","year":"1997","unstructured":"Bosma, W., Cannon, J., Playoust, C.: The Magma computer algebra system is described in the Magma algebra system. I. The user language. J. Symbolic Comput.\u00a024(3-4), 235\u2013265 (1997)","journal-title":"J. Symbolic Comput."},{"key":"12_CR2","first-page":"121","volume":"615","author":"J.E. Cremona","year":"2008","unstructured":"Cremona, J.E., Fisher, T.A., O\u2019Neil, C., Simon, D., Stoll, M.: Explicit n-descent on elliptic curves. I. Algebra. J. Reine Angew. Math.\u00a0615, 121\u2013155 (2008)","journal-title":"J. Reine Angew. Math."},{"key":"12_CR3","doi-asserted-by":"crossref","unstructured":"Cremona, J.E., Fisher, T.A., Stoll, M.: Minimisation and reduction of 2-, 3- and 4-coverings of elliptic curves, arXiv: 0908.1741 (2009), \n                      http:\/\/arxiv.org\/abs\/0908.1741","DOI":"10.2140\/ant.2010.4.763"},{"issue":"1","key":"12_CR4","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1080\/10586458.2000.10504633","volume":"9","author":"J.E. Cremona","year":"2000","unstructured":"Cremona, J.E., Mazur, B.: Visualizing elements in the Shafarevich-Tate group. Experiment. Math.\u00a09(1), 13\u201328 (2000)","journal-title":"Experiment. Math."},{"issue":"1","key":"12_CR5","doi-asserted-by":"crossref","first-page":"221","DOI":"10.4310\/AJM.1999.v3.n1.a9","volume":"3","author":"B. Mazur","year":"1999","unstructured":"Mazur, B.: Visualizing elements of order three in the Shafarevich-Tate group. Asian J. Math.\u00a03(1), 221\u2013232 (1999); Sir Michael Atiyah: a great mathematician of the twentieth century","journal-title":"Asian J. Math."},{"issue":"2","key":"12_CR6","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1016\/S0022-314X(01)92770-2","volume":"95","author":"C. O\u2019Neil","year":"2002","unstructured":"O\u2019Neil, C.: The period-index obstruction for elliptic curves. J. Number Theory\u00a095(2), 329\u2013339 (2002)","journal-title":"J. Number Theory"},{"key":"12_CR7","unstructured":"Fisher, T.: The Hessian of a genus one curve, arXiv: math\/0610403 (2006), \n                      http:\/\/arxiv.org\/abs\/math\/0610403"},{"key":"12_CR8","doi-asserted-by":"crossref","unstructured":"Frey, G., Kani, E.: Curves of genus 2 covering elliptic curves and an arithmetical application. In: Arithmetic Algebraic Geometry (Texel, 1989), pp. 153\u2013176 (1991)","DOI":"10.1007\/978-1-4612-0457-2_7"},{"key":"12_CR9","first-page":"141","volume":"488","author":"B. Poonen","year":"1997","unstructured":"Poonen, B., Schaefer, E.F.: Explicit descent for Jacobians of cyclic covers of the projective line. J. Reine Angew. Math.\u00a0488, 141\u2013188 (1997)","journal-title":"J. Reine Angew. Math."},{"key":"12_CR10","volume-title":"A treatise on the higher plane curves","author":"G. Salmon","year":"1879","unstructured":"Salmon, G.: A treatise on the higher plane curves, 3rd edn. Hodges, Foster, and Figgis, Grafton Street, Dublin (1879)","edition":"3"},{"issue":"3","key":"12_CR11","doi-asserted-by":"publisher","first-page":"1209","DOI":"10.1090\/S0002-9947-03-03366-X","volume":"356","author":"E.F. Schaefer","year":"2004","unstructured":"Schaefer, E.F., Stoll, M.: How to do a p-descent on an elliptic curve. Trans. Amer. Math. Soc.\u00a0356(3), 1209\u20131231 (2004)","journal-title":"Trans. Amer. Math. Soc."},{"key":"12_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1007\/3-540-45455-1_22","volume-title":"Algorithmic Number Theory","author":"W.A. Stein","year":"2002","unstructured":"Stein, W.A., Watkins, M.: A database of elliptic curves\u2014first report. In: Fieker, C., Kohel, D.R. (eds.) ANTS 2002. LNCS, vol.\u00a02369, pp. 267\u2013275. Springer, Heidelberg (2002), \n                      http:\/\/wstein.org\/Tables\/ecdb\/"}],"container-title":["Lecture Notes in Computer Science","Algorithmic Number Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-14518-6_12","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,17]],"date-time":"2023-02-17T14:25:25Z","timestamp":1676643925000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-642-14518-6_12"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"ISBN":["9783642145179","9783642145186"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-14518-6_12","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2010]]}}}