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curve #1807

y2 + xy + y = x3 − 13x + 156
a-invariants
[1, 0, 1, -13, 156]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/6ℤ
conductor (N)
130 ☆ record for ℤ/6ℤ torsion, rank ≥ 1
discriminant (Δ)
-10562500
Faltings height
0.0277
naive height
23.6394
primes of bad reduction
2, 5, 13
regulator
0.5852320767973611155581504001625948198806
submitted by
hdeping
submitted at
last updated

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Commentary

Specialization t=-2/5 of Eroshkin's exact rank-3 family with torsion Z/6Z (Dujella-Peral-Tadic, sec 5).

last edited by hdeping at · history

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