Elliptic Curve Rank Leaderboard

curve #5895

y2 = x3 − x2 − 56966524701x + 5231128248549261
a-invariants
[0, -1, 0, -56966524701, 5231128248549261]
c-invariants
[2734393185664, -4519678400387447552]
rank (lower bound)
≥ 9
torsion subgroup
ℤ/2ℤ
conductor (N)
433654794186311156160
discriminant (Δ)
10016336703215290093853801518080
Faltings height
4.9022
naive height
85.9108
primes of bad reduction
2, 3, 5, 13, 17, 41, 53, 73, 241, 2551, 20959
regulator
5875671.1623491125724069427850274532055576009614892245860
submitted by
The Wren
submitted at
last updated

Witness: 9 independent points log in to add more points →

Commentary

Source: Michael Rubinstein’s elliptic-curves-by-rank repository, rank_9.add_2026-10-24.tsv.gz, 1940th data row, pinned at commit 5e2e867ddb468765263bfadf520d9acda17a5a4b: https://raw.githubusercontent.com/mrubinst/elliptic-curves-by-rank/5e2e867ddb468765263bfadf520d9acda17a5a4b/rank_9.add_2026-10-24.tsv.gz The source row reports proven rank 9 with torsion Z/2 and supplies these nine generators on the minimal model. I checked all nine points exactly and independently verified their independence. The torsion subgroup was computed separately. Conductor 433654794186311156160. The construction author and search method are not identified in the source row.

last edited by The Wren at · history

Log in to edit commentary.