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We acquired high$-$precision radial velocity measurements with the HARPS, ESPRESSO, and PFS spectrographs to confirm the planet detection and determine its mass. We also acquired space$-$borne transit photometry with the CHEOPS space telescope to place stronger constraints on the planet radius, supported with ground$-$based LCOGT photometry. WASP and KELT photometry were used to help constrain the stellar rotation period. We also determined the fundamental parameters of the host star. We find that TOI$-$757\u2009b has a radius of $R_{\\mathrm{p}} = 2.5 \\pm 0.1 R_{\\oplus }$ and a mass of $M_{\\mathrm{p}} = 10.5^{+2.2}_{-2.1} M_{\\oplus }$, implying a bulk density of $\\rho _{\\text{p}} = 3.6 \\pm 0.8$ g cm$^{-3}$. Our internal composition modelling was unable to constrain the composition of TOI$-$757 b, highlighting the importance of atmospheric observations for the system. We also find the planet to be highly eccentric with e = 0.39$^{+0.08}_{-0.07}$, making it one of the very few highly eccentric planets among precisely characterized mini$-$Neptunes. Based on comparisons to other similar eccentric systems, we find a likely scenario for TOI$-$757 b\u2019s formation to be high eccentricity migration due to a distant outer companion. We additionally propose the possibility of a more intrinsic explanation for the high eccentricity due to star$-$star interactions during the earlier epoch of the Galactic disc formation, given the low metallicity and older age of TOI$-$757.<\/jats:p>","DOI":"10.1093\/mnras\/stae1767","type":"journal-article","created":{"date-parts":[[2024,8,1]],"date-time":"2024-08-01T06:41:08Z","timestamp":1722494468000},"page":"1-26","source":"Crossref","is-referenced-by-count":2,"title":["TOI\u2013757 b: an eccentric transiting mini\u2013Neptune on a 17.5\u2013d orbit"],"prefix":"10.1093","volume":"533","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5102-5505","authenticated-orcid":false,"given":"A","family":"Alqasim","sequence":"first","affiliation":[{"name":"UCL Mullard Space Science Laboratory , Holmbury Hill Road, Dorking, Surrey RH5 6NT , UK"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8105-0373","authenticated-orcid":false,"given":"N","family":"Grieves","sequence":"additional","affiliation":[{"name":"Observatoire de Gen\u00e8ve, Universit\u00e9 de Gen\u00e8ve , 51 Chemin Pegasi, CH-1290 Versoix , Switzerland"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8588-6730","authenticated-orcid":false,"given":"N M","family":"Ros\u00e1rio","sequence":"additional","affiliation":[{"name":"Instituto de Astrofisica e Ciencias do Espaco, Universidade do Porto, CAUP , Rua das Estrelas, P-4150-762 Porto , Portugal"},{"name":"Departamento de Fisica e Astronomia, Faculdade de Ciencias, Universidade do Porto , Rua do Campo Alegre, P-4169-007 Porto , Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8627-9628","authenticated-orcid":false,"given":"D","family":"Gandolfi","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica, Universit\u00e1 degli Studi di Torino , Via Pietro Giuria 1, I-10125 Torino , Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4881-3620","authenticated-orcid":false,"given":"J H","family":"Livingston","sequence":"additional","affiliation":[{"name":"Department of Astronomy, The University of Tokyo , 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033 , Japan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9047-2965","authenticated-orcid":false,"given":"S","family":"Sousa","sequence":"additional","affiliation":[{"name":"Instituto de Astrofisica e Ciencias do Espaco, Universidade do Porto, CAUP , Rua das Estrelas, P-4150-762 Porto , Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6588-9574","authenticated-orcid":false,"given":"K A","family":"Collins","sequence":"additional","affiliation":[{"name":"Center for Astrophysics | Harvard & Smithsonian , 60 Garden Street, Cambridge, MA 02138 , USA"}]},{"ORCID":"https:\/\/orcid.org\/0009-0008-2801-5040","authenticated-orcid":false,"given":"J K","family":"Teske","sequence":"additional","affiliation":[{"name":"Earth and Planets Laboratory, Carnegie Institution for Science , 5241 Broad Branch Rd NW, Washington, DC 20015 , USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0855-8426","authenticated-orcid":false,"given":"M","family":"Fridlund","sequence":"additional","affiliation":[{"name":"Department of Space, Earth and Environment, Onsala Space Observatory, Chalmers University of Technology , SE-439 92 Onsala , Sweden"},{"name":"Leiden Observatory, University of Leiden , PO Box 9513, NL-2300 RA Leiden , the Netherlands"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1628-4231","authenticated-orcid":false,"given":"J A","family":"Egger","sequence":"additional","affiliation":[{"name":"Weltraumforschung und Planetologie, Physikalisches Institut, University of Bern , Gesellschaftsstrasse 6, CH-3012 Bern , Switzerland"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6653-5487","authenticated-orcid":false,"given":"J","family":"Cabrera","sequence":"additional","affiliation":[{"name":"Institute of Planetary Research, German Aerospace Center (DLR) , Rutherfordstrasse 2, D-12489 Berlin , Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3439-1439","authenticated-orcid":false,"given":"C","family":"Hellier","sequence":"additional","affiliation":[{"name":"Astrophysics Group, Lennard Jones Building, Keele University , Staffordshire ST5 5BG , UK"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5928-7251","authenticated-orcid":false,"given":"A F","family":"Lanza","sequence":"additional","affiliation":[{"name":"INAF \u2013 Osservatorio Astrofisico di Catania , Via S. 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