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curve #1117

a-invariants

[1, 0, 0, -210121912561076041141788727170, 37072777483029442821111037453964917510678212]

rank (lower bound)

≥ 4

torsion subgroup

ℤ/9ℤ

conductor (N)

16352763705110910 ☆ record for ℤ/9ℤ torsion, rank ≥ 4

discriminant (Δ)

18723779385585072341119150734403951295782226171126711068461743451670315008000000000 ☆ record for ℤ/9ℤ torsion, rank ≥ 4

Faltings height

15.3243 ☆ record for ℤ/9ℤ torsion, rank ≥ 4

naive height

214.1661 ☆ record for ℤ/9ℤ torsion, rank ≥ 4

primes of bad reduction

2, 3, 5, 7, 11, 17, 23, 251, 397, 181693

regulator

11458.27112565036561718439385340411247302079975

submitted by

dujella

submitted at

2026-09-23 20:55:17 UTC

last updated

2026-09-23 20:55:17 UTC