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curve #1245
y2 + xy + y = x3 + x2 − 403865195899926007182298021x + 3046183357238948170531314413152231717154
- a-invariants
[1, 1, 1, -403865195899926007182298021, 3046183357238948170531314413152231717154]- rank (lower bound)
- ≥ 11
- torsion subgroup
- ℤ/2ℤ × ℤ/2ℤ
- conductor (N)
8969825157965317726623690832455919395- discriminant (Δ)
207261209870952487277260874724983299374923161152515318561805789776617308109550625- Faltings height
- 14.1898
- naive height
- 195.4030
- primes of bad reduction
3, 5, 13, 23, 37, 53, 61, 101, 107, 197, 1303, 1933, 2953, 3673, 4783, 60101- regulator
10033504193.6544313342341891721705974636263160583336021272809- submitted by
- dujella
- submitted at
- later contributions
- primes of bad reduction recorded · dujella ·
(9513259854381, 8067146003345303365)(42871705437178, 254026089162033870964)(32514137709991/4, 138662942682026328755/8)(9985369441873, 3009550205515476307)(894558886228, 51822948284690120482)(19035977301086, 47500010459972673513)(33589653269504, 165464526581627998110)(-1683476358403, -61002537945968435439)(15782103206204, 24561446943804745785)(-39277743912539/9, -1856062517580014869805/27)(-3545324823869308/169, -105050371046016812598246/2197)
Commentary
last edited by dujella at · history
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