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curve #1102
y2 + xy + y = x3 − x2 − 42403753582533569425032932x + 106274144228004532427905140464314177031
- a-invariants
[1, -1, 1, -42403753582533569425032932, 106274144228004532427905140464314177031]- rank (lower bound)
- ≥ 3
- torsion subgroup
- ℤ/12ℤ
- conductor (N)
6384373201965330 ☆ record for ℤ/12ℤ torsion, rank ≥ 3- discriminant (Δ)
605582523508957481514239377603183027001927178265027960554819165057157632000 ☆ record for ℤ/12ℤ torsion, rank ≥ 3- Faltings height
- 13.4010 ☆ record for ℤ/12ℤ torsion, rank ≥ 3
- naive height
- 188.6414 ☆ record for ℤ/12ℤ torsion, rank ≥ 3
- primes of bad reduction
2, 3, 5, 11, 13, 17, 23, 29, 41, 47, 73, 311- regulator
916.69593724798600755020814289748751630152080- submitted by
- dujella
- submitted at
- last updated
(-2362419518979, -13901972586915491891)(3799863365181, 108421510951850869)(150735264213265861/39601, 1061927645729427513662011/7880599)
Commentary
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