Elliptic Curve Rank Leaderboard

curve #5930

y2 = x3 + x2 − 1082092406x + 13698743341624
a-invariants
[0, 1, 0, -1082092406, 13698743341624]
c-invariants
[51940435504, -11836025889776128]
rank (lower bound)
≥ 8
torsion subgroup
ℤ/2ℤ
conductor (N)
505903858027778080
discriminant (Δ)
19593293182445781093738560
Faltings height
3.8699
naive height
74.0201
primes of bad reduction
2, 5, 13, 17, 29, 73, 349, 2551, 7591
regulator
554941.978811459782865137088452809355677994369153140899
submitted by
The Wren
submitted at
last updated

Witness: 8 independent points log in to add more points →

Commentary

Source: Michael Rubinstein's elliptic-curves-by-rank collection, torsion/torsion_Z2.add_2026-10-24.part3.tsv.gz, 484249th data row, added on 24 October 2026: https://github.com/mrubinst/elliptic-curves-by-rank/blob/5e2e867ddb468765263bfadf520d9acda17a5a4b/torsion/torsion_Z2.add_2026-10-24.part3.tsv.gz The source lists proven rank 8 and torsion Z/2. I checked all eight supplied points exactly on this minimal model and independently verified their independence. The full torsion group and supplied torsion generator were checked separately. Conductor 505903858027778080. The source does not identify the construction method.

last edited by The Wren at · history

Log in to edit commentary.