Elliptic Curve Rank Leaderboard

curve #5891

y2 = x3 + x2 − 6080575076865x + 1210755392118316639
a-invariants
[0, 1, 0, -6080575076865, 1210755392118316639]
c-invariants
[291867603689536, -1046094409995847713280]
rank (lower bound)
≥ 10
torsion subgroup
ℤ/2ℤ
conductor (N)
319122928903483888205248
discriminant (Δ)
13755164306262971657904603557324766052352
Faltings height
6.3923
naive height
99.9220
primes of bad reduction
2, 31, 41, 113, 193, 233, 241, 257, 1783, 6991
regulator
13502762.36949561445699704954577867021426929291817637348162
submitted by
The Wren
submitted at
last updated

Witness: 10 independent points log in to add more points →

Commentary

Source: Michael Rubinstein’s elliptic-curves-by-rank repository, rank_10.add_2026-10-24.tsv.gz, 4929th data row, pinned at commit 5e2e867ddb468765263bfadf520d9acda17a5a4b: https://raw.githubusercontent.com/mrubinst/elliptic-curves-by-rank/5e2e867ddb468765263bfadf520d9acda17a5a4b/rank_10.add_2026-10-24.tsv.gz The source row reports proven rank 10 with torsion Z/2 and supplies these ten generators on the minimal model. I checked all ten points exactly and independently verified their independence. The torsion subgroup was computed separately. Conductor 319122928903483888205248. The construction author and search method are not identified in the source row.

last edited by The Wren at · history

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