{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,10]],"date-time":"2026-01-10T18:57:35Z","timestamp":1768071455267,"version":"3.49.0"},"reference-count":26,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2014,10,1]],"date-time":"2014-10-01T00:00:00Z","timestamp":1412121600000},"content-version":"unspecified","delay-in-days":273,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["LMS J. Comput. Math."],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We give the complete list of possible torsion subgroups of elliptic curves with complex multiplication over number fields of degree 1\u201313. Additionally we describe the algorithm used to compute these torsion subgroups and its implementation.<\/jats:p>","DOI":"10.1112\/s1461157014000072","type":"journal-article","created":{"date-parts":[[2014,10,7]],"date-time":"2014-10-07T12:28:40Z","timestamp":1412684920000},"page":"509-535","source":"Crossref","is-referenced-by-count":19,"title":["Computation on elliptic curves with complex multiplication"],"prefix":"10.1112","volume":"17","author":[{"given":"Pete L.","family":"Clark","sequence":"first","affiliation":[]},{"given":"Patrick","family":"Corn","sequence":"additional","affiliation":[]},{"given":"Alex","family":"Rice","sequence":"additional","affiliation":[]},{"given":"James","family":"Stankewicz","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2014,10,1]]},"reference":[{"key":"S1461157014000072_r14","doi-asserted-by":"publisher","DOI":"10.1007\/s002220050059"},{"key":"S1461157014000072_r10","doi-asserted-by":"publisher","DOI":"10.1017\/S0027763000002816"},{"key":"S1461157014000072_r6","first-page":"477","volume-title":"Mathematical foundations of computer science","author":"Grenet","year":"2010"},{"key":"S1461157014000072_r24","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0851-8"},{"key":"S1461157014000072_r17","doi-asserted-by":"publisher","DOI":"10.1007\/BF01171442"},{"key":"S1461157014000072_r19","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196797000174"},{"key":"S1461157014000072_r12","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-58227-1"},{"key":"S1461157014000072_r11","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-33.2.193"},{"key":"S1461157014000072_r25","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-2011-02538-X"},{"key":"S1461157014000072_r8","doi-asserted-by":"publisher","DOI":"10.1215\/S0012-7094-86-05310-X"},{"key":"S1461157014000072_r20","first-page":"1","article-title":"Bounding the torsion in CM elliptic curves","volume":"23","author":"Prasad","year":"2001","journal-title":"C. R. Math. Acad. Sci. Soc. R. Can."},{"key":"S1461157014000072_r7","doi-asserted-by":"publisher","DOI":"10.1093\/qmath\/os-5.1.150"},{"key":"S1461157014000072_r3","doi-asserted-by":"publisher","DOI":"10.1142\/S1793042112501436"},{"key":"S1461157014000072_r1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-51438-8"},{"key":"S1461157014000072_r21","doi-asserted-by":"publisher","DOI":"10.5802\/jtnb.142"},{"key":"S1461157014000072_r22","first-page":"241","article-title":"Torsion points on abelian varieties of CM-type","volume":"68","author":"Silverberg","year":"1988","journal-title":"Compositio Math."},{"key":"S1461157014000072_r15","unstructured":"15. J. Milne , Class field theory, Version 4, http:\/\/jmilne.org\/math\/."},{"key":"S1461157014000072_r16","first-page":"100","article-title":"Torsion groups of elliptic curves with integral j-invariant over quadratic fields","volume":"397","author":"M\u00fcller","year":"1989","journal-title":"J. Reine Angew. Math."},{"key":"S1461157014000072_r5","doi-asserted-by":"publisher","DOI":"10.1016\/0022-314X(90)90003-A"},{"key":"S1461157014000072_r4","volume-title":"Primes of the form x\n                     2 + n \n                     y\n                     2: Fermat, class field theory and complex multiplication","author":"Cox","year":"1989"},{"key":"S1461157014000072_r9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01232025"},{"key":"S1461157014000072_r13","doi-asserted-by":"publisher","DOI":"10.1007\/BF02684339"},{"key":"S1461157014000072_r2","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1996.0125"},{"key":"S1461157014000072_r23","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-1920-8"},{"key":"S1461157014000072_r26","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-03-01517-5"},{"key":"S1461157014000072_r18","doi-asserted-by":"publisher","DOI":"10.1016\/0022-314X(89)90012-7"}],"container-title":["LMS Journal of Computation and Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S1461157014000072","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,23]],"date-time":"2019-04-23T01:59:24Z","timestamp":1555984764000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S1461157014000072\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":26,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2014]]}},"alternative-id":["S1461157014000072"],"URL":"https:\/\/doi.org\/10.1112\/s1461157014000072","relation":{},"ISSN":["1461-1570"],"issn-type":[{"value":"1461-1570","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}