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curve #801

y2 + y = x3 + x2 − 10x + 10
a-invariants
[0, 1, 1, -10, 10]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/5ℤ
conductor (N)
123 ☆ record for ℤ/5ℤ torsion, rank ≥ 1
discriminant (Δ)
-9963 ☆ record for ℤ/5ℤ torsion, rank ≥ 1
Faltings height
-0.4867 ☆ record for ℤ/5ℤ torsion, rank ≥ 1
naive height
18.7517
primes of bad reduction
3, 41
regulator
0.8405214175314753867987783134267595238901
submitted by
David Renshaw
submitted at
last updated

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Commentary

Cremona 123b1: smallest conductor with torsion Z/5 and positive rank.

last edited by David Renshaw at · history

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