Li's 2026 elliptic curve over Q with torsion Z/4Z and rank at least 13, with all 13 published independent witnesses. Source and maintained record table: https://web.math.pmf.unizg.hr/~duje/tors/z4.html. This is a documented existing world-record curve newly added to this leaderboard, not a claim of a newly discovered world rank record. Exact local preflight re-certifies every witness, independence modulo torsion, the global minimal model, torsion, and the complete bad-prime set.
[edit wgxli]:
Found May 2026 without AI assistance. Specialization at T = 11367979/38917800 of the fibration 'E1' published in Elkies & Klagsbrun 2020, "New rank records for elliptic curves having rational torsion."
Li's 2026 elliptic curve over Q with torsion Z/4Z and rank at least 13, with all 13 published independent witnesses. Source and maintained record table: https://web.math.pmf.unizg.hr/~duje/tors/z4.html. This is a documented existing world-record curve newly added to this leaderboard, not a claim of a newly discovered world rank record. Exact local preflight re-certifies every witness, independence modulo torsion, the global minimal model, torsion, and the complete bad-prime set.
[edit wgxli]:
Specialization at T = 11367979/38917800 of the fibration 'E1' published in Elkies & Klagsbrun 2020, "New rank records for elliptic curves having rational torsion."
Li's 2026 elliptic curve over Q with torsion Z/4Z and rank at least 13, with all 13 published independent witnesses. Source and maintained record table: https://web.math.pmf.unizg.hr/~duje/tors/z4.html. This is a documented existing world-record curve newly added to this leaderboard, not a claim of a newly discovered world rank record. Exact local preflight re-certifies every witness, independence modulo torsion, the global minimal model, torsion, and the complete bad-prime set.
Specialization at T = 11367979/38917800 of the fibration 'E1' published in Elkies & Klagsbrun 2020, "New rank records for elliptic curves having rational torsion."
Li's 2026 elliptic curve over Q with torsion Z/4Z and rank at least 13, with all 13 published independent witnesses. Source and maintained record table: https://web.math.pmf.unizg.hr/~duje/tors/z4.html. This is a documented existing world-record curve newly added to this leaderboard, not a claim of a newly discovered world rank record. Exact local preflight re-certifies every witness, independence modulo torsion, the global minimal model, torsion, and the complete bad-prime set.
wgxli ·
wgxli ·
wgxli ·
Jack Cheng ·