Elliptic Curve Rank Leaderboard

curve #5893

y2 = x3 + x2 − 36412408665x + 2674256365693159
a-invariants
[0, 1, 0, -36412408665, 2674256365693159]
c-invariants
[1747795615936, -2310567986732584960]
rank (lower bound)
≥ 9
torsion subgroup
ℤ/2ℤ
conductor (N)
81931264005733177792
discriminant (Δ)
244965717320044372469114212352
Faltings height
4.7148
naive height
84.5681
primes of bad reduction
2, 17, 73, 89, 97, 233, 353, 977, 1487
regulator
819859.60682638266660169511890029023770773626499603565267
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, 1508th 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 81931264005733177792. The construction author and search method are not identified in the source row.

last edited by The Wren at · history

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