Elliptic Curve Rank Leaderboard

curve #1813

y2 + xy = x3 + 259431824x + 127224683804480
a-invariants
[1, 0, 0, 259431824, 127224683804480]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/12ℤ
conductor (N)
2929290
discriminant (Δ)
-6993519042264902703021215131200
Faltings height
4.5975
naive height
78.4771
primes of bad reduction
2, 3, 5, 7, 13, 29, 37
regulator
9.035772924837662017989951651724170810019
submitted by
hdeping
submitted at
last updated

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Commentary

Specialization t=-2/5 of the HHVZ 2021 (Thm 5) universal family for torsion Z/12Z.

last edited by hdeping at · history

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