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curve #5608

y2 = x3 − 6284000718686285056251075
a-invariants
[0, 0, 0, 0, -6284000718686285056251075]
c-invariants
[0, 5429376620944950288600928800]
rank (lower bound)
≥ 8
torsion subgroup
trivial
families
y2 = x3 + k (Mordell curves); x3 + y3 = A (cube-sum curves)
conductor (N)
2036016232854356358225348300
discriminant (Δ)
-17059103294018290745878010255750168188435245499230000
Faltings height
8.7013
naive height
127.7232
primes of bad reduction
2, 3, 5, 11, 13, 31, 41, 53, 151, 199
regulator
4472499848988.07439849605255630975760158786767377468057
submitted by
Maksym Voznyy
submitted at
last updated

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Commentary

Voznyy (2023), A = -26051335428690, [r, s, t] = [53, 234, 302] for S2 in https://arxiv.org/pdf/math/0403116

last edited by Maksym Voznyy at · history

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