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curve #5874

y2 + y = x3 − 38693986627x + 2411984268434796
a-invariants
[0, 0, 1, -38693986627, 2411984268434796]
c-invariants
[1857311358096, -2083954407927663960]
rank (lower bound)
≥ 14
torsion subgroup
trivial
conductor (N)
1194517052272968263829637380194437
discriminant (Δ)
1194517052272968263829637380194437
Faltings height
5.0650
naive height
84.7505
primes of bad reduction
1295647, 5946566114603, 155038446589457
regulator
30290134741.0941210638508947543307845595241238020855339283333033866
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, seventh 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 1194517052272968263829637380194437. The construction author and search method are not identified in the source row.

last edited by The Wren at · history

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