Elliptic Curve Rank Leaderboard

curve #5892

y2 + xy = x3 + x2 − 16493849593x + 799739981175697
a-invariants
[1, 1, 0, -16493849593, 799739981175697]
c-invariants
[791704780489, -690981281521655813]
rank (lower bound)
≥ 9
torsion subgroup
ℤ/2ℤ
conductor (N)
938935060518063061770
discriminant (Δ)
10869572873929736349245732508900
Faltings height
4.7434
naive height
82.1924
primes of bad reduction
2, 3, 5, 29, 47, 83, 379, 401, 521, 929, 3761
regulator
461239.14429292579254157198685401043006631274298351772045
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, 2103rd 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 938935060518063061770. The construction author and search method are not identified in the source row.

last edited by The Wren at · history

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