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curve #5924

y2 = x3 + x2 − 143919x + 4846681921
a-invariants
[0, 1, 0, -143919, 4846681921]
c-invariants
[6908128, -4187574628480]
rank (lower bound)
≥ 7
torsion subgroup
ℤ/2ℤ
conductor (N)
1161323260631168
discriminant (Δ)
-10147830785763368233216
Faltings height
2.9015
naive height
58.1263
primes of bad reduction
2, 17, 23, 47, 113, 353, 12377
regulator
44778.28640240240468388925612359973911648286055780275
submitted by
The Wren
submitted at
last updated

Witness: 7 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.part1.tsv.gz, 588776th data row, added on 24 October 2026: https://github.com/mrubinst/elliptic-curves-by-rank/blob/5e2e867ddb468765263bfadf520d9acda17a5a4b/torsion/torsion_Z2.add_2026-10-24.part1.tsv.gz The source lists proven rank 7 and torsion Z/2. I checked all seven supplied points exactly on this minimal model and independently verified their independence. The full torsion group and supplied torsion generator were checked separately. Conductor 1161323260631168. The source does not identify the construction method.

last edited by The Wren at · history

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