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curve #2513

y2 + xy + y = x3 − 9201244903x − 294611199823894
a-invariants
[1, 0, 1, -9201244903, -294611199823894]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/2ℤ × ℤ/2ℤ
conductor (N)
39270
discriminant (Δ)
12360692761105045152384575078400
Faltings height
4.6915
naive height
80.4414
primes of bad reduction
2, 3, 5, 7, 11, 17
regulator
5.537820651492723264200418504656400047997
submitted by
Natanael Wildner Fraga
submitted at
last updated

Witness: 1 independent point log in to add more points →

Commentary

Exact computational full 2- and 3-torsion family at (p,q)=(-16,11); Velu quotient by rational order-3 subgroup. The mapped rank >=1 witness is non-torsion by the original exact 2-descent Kummer certificate and finite isogeny kernel. Conductor N=39270; local exponents {'2': 1, '3': 1, '5': 1, '7': 1, '11': 1, '17': 1}.

last edited by Natanael Wildner Fraga at · history

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