Rank-15 curve with rational 3-torsion found by Noam Elkies and Zev Klagsbrun (2020); 15 published independent witnesses, re-certified here with the leaderboard's exact Cremona/Brumer quadratic-character verifier. At preflight the live database's only Z/3 curve had rank lower bound 13, so this raises that torsion class to rank at least 15. Source: https://web.math.pmf.unizg.hr/~duje/tors/z3.html
Jack Cheng · 2026-08-24 11:02:51 UTC