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curve #5929

y2 + xy + y = x3 − 798067642x + 8674375820184
a-invariants
[1, 0, 1, -798067642, 8674375820184]
c-invariants
[38307246793, -7494718169509381]
rank (lower bound)
≥ 8
torsion subgroup
ℤ/2ℤ
conductor (N)
981308624386182638
discriminant (Δ)
24874617272711453387636132
Faltings height
3.8317
naive height
73.1067
primes of bad reduction
2, 7, 13, 41, 43, 79, 337, 569, 201889
regulator
46866.3678285430547976919056866249188218833563859959147
submitted by
The Wren
submitted at
last updated

Witness: 8 independent points log in to add more points →

Commentary

Source: Michael Rubinstein's elliptic-curves-by-rank collection, torsion/torsion_Z2.add_2026-10-24.part3.tsv.gz, 484413th data row, added on 24 October 2026: https://github.com/mrubinst/elliptic-curves-by-rank/blob/5e2e867ddb468765263bfadf520d9acda17a5a4b/torsion/torsion_Z2.add_2026-10-24.part3.tsv.gz The source lists proven rank 8 and torsion Z/2. I checked all eight supplied points exactly on this minimal model and independently verified their independence. The full torsion group and supplied torsion generator were checked separately. Conductor 981308624386182638. The source does not identify the construction method.

last edited by The Wren at · history

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