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curve #1380
y2 = x3 + x2 − 155758806554822025x + 17037557339777163308682423
- a-invariants
[0, 1, 0, -155758806554822025, 17037557339777163308682423]- rank (lower bound)
- ≥ 12
- torsion subgroup
- ℤ/2ℤ
- conductor (N)
3239017836510231922895803285440 ☆ record for ℤ/2ℤ torsion, rank ≥ 12- discriminant (Δ)
116445133940902850701375826701018329396034321512960000- Faltings height
- 8.8897 ☆ record for ℤ/2ℤ torsion, rank ≥ 12
- naive height
- 130.3749 ☆ record for ℤ/2ℤ torsion, rank ≥ 12
- primes of bad reduction
2, 3, 5, 11, 17, 89, 103, 107, 127, 1913, 5449, 20897, 39113- regulator
192332361.16877231665465701547483237962403828622646216361229374- submitted by
- NDElkies
- submitted at
- last updated
(5623338381, 420668505280320)(-439463859, 784178010000)(20866867671, 3013759617873840)(3488832831, 204791444371080)(2079925311, 93225605435640)(-423421437, 2660030235192)(-303586359, 6028587526500)(2366807466, 113607726227325)(929513091, 25987535224200)(428014467, 5364814777080)(113389431, 913247670720)(420149181, 5075686863720)
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