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curve #1661
y2 + xy + y = x3 − 43204063985x + 3456523598164032
- a-invariants
[1, 0, 1, -43204063985, 3456523598164032]- rank (lower bound)
- ≥ 7
- torsion subgroup
- ℤ/3ℤ
- conductor (N)
3581871669417062 ☆ record for ℤ/3ℤ torsion, rank ≥ 7- discriminant (Δ)
-117990238194378447637771887436 ☆ record for ℤ/3ℤ torsion, rank ≥ 7- Faltings height
- 4.7221 ☆ record for ℤ/3ℤ torsion, rank ≥ 7
- naive height
- 85.0812
- primes of bad reduction
2, 7, 43, 73, 97, 139, 769, 1123- regulator
13674.48879594789940035158984646927534926816271776148- submitted by
- NDElkies
- submitted at
- last updated
(129137, 5487032)(76175, 24608836)(58230, 33708018)(-176249, 74896256)(120537, 315680)(122056, 1188671)(2435700, 3786702911)
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