Elliptic Curve Rank Leaderboard

curve #5873

y2 + y = x3 + x2 − 30037959982x + 2392378014133310
a-invariants
[0, 1, 1, -30037959982, 2392378014133310]
c-invariants
[1441822079152, -2067023255143654936]
rank (lower bound)
≥ 14
torsion subgroup
trivial
conductor (N)
737993054968595410635229854049771
discriminant (Δ)
-737993054968595410635229854049771
Faltings height
5.0250
naive height
84.3453
primes of bad reduction
20554993, 3985917517, 9007549019885191
regulator
34492910546.1236189846863944804841488163561540573923720647414970484
submitted by
The Wren
submitted at
last updated

Witness: 14 independent points log in to add more points →

Commentary

Source: Michael Rubinstein’s elliptic-curves-by-rank repository, rank_14.add_2026-10-24.tsv.gz, fifth data row, pinned at commit 5e2e867ddb468765263bfadf520d9acda17a5a4b: https://raw.githubusercontent.com/mrubinst/elliptic-curves-by-rank/5e2e867ddb468765263bfadf520d9acda17a5a4b/rank_14.add_2026-10-24.tsv.gz The source row reports proven rank 14 and supplies these 14 generators on the minimal model. I checked all 14 points exactly and independently verified their independence, establishing rank at least 14. Trivial torsion; conductor 737993054968595410635229854049771. The construction author and search method are not identified in the source row.

last edited by The Wren at · history

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