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curve #2120

y2 + xy = x3 − 1139407008286275015150x + 4292069755092734127597502522500
a-invariants
[1, 0, 0, -1139407008286275015150, 4292069755092734127597502522500]
rank (lower bound)
≥ 3
torsion subgroup
ℤ/10ℤ
conductor (N)
496968673605690
discriminant (Δ)
86712683041027272836190792582217933128613628580276332010000000000
Faltings height
11.1519
naive height
157.0680
primes of bad reduction
2, 3, 5, 11, 13, 17, 23, 109, 131, 20749
regulator
1060.6270835322219053398758218169800666311430
submitted by
Steps Unbounded
submitted at
last updated

Witness: 3 independent points log in to add more points →

Commentary

Rank >= 3 with torsion Z/10 from the universal X_1(10) family at s=46/131 (t=s^2(2s-1)/(s-1)^2); conductor 496968673605690.

last edited by Steps Unbounded at · history

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