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curve #5927

y2 + xy = x3 − 294263258x + 1941184464307
a-invariants
[1, 0, 0, -294263258, 1941184464307]
c-invariants
[14124636385, -1677204564115825]
rank (lower bound)
≥ 8
torsion subgroup
ℤ/2ℤ
conductor (N)
199015295591859025
discriminant (Δ)
2850357763131760473052625
Faltings height
3.6113
naive height
70.1136
primes of bad reduction
5, 79, 101, 181, 281, 359, 541
regulator
86433.5961063762669129073225939262576965691090958864901
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, 484131st 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 199015295591859025. The source does not identify the construction method.

last edited by The Wren at · history

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