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curve #5934

y2 + xy + y = x3 − 153843919x + 128333785326
a-invariants
[1, 0, 1, -153843919, 128333785326]
c-invariants
[7384508089, -110891467284013]
rank (lower bound)
≥ 8
torsion subgroup
ℤ/2ℤ
conductor (N)
820024872106710730
discriminant (Δ)
225918631719371277677284100
Faltings height
3.7470
naive height
68.1680
primes of bad reduction
2, 5, 17, 89, 131, 139, 409, 81769
regulator
53479.3968610378847884174536593933983995226012918862720
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, 484363rd 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 820024872106710730. The source does not identify the construction method.

last edited by The Wren at · history

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