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curve #658

y2 + y = x3 + x2 − 7x + 5
a-invariants
[0, 1, 1, -7, 5]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/3ℤ
conductor (N)
91 ☆ record for ℤ/3ℤ torsion, rank ≥ 1
discriminant (Δ)
-91 ☆ record for ℤ/3ℤ torsion, rank ≥ 1
Faltings height
-0.7385
naive height
17.5945
primes of bad reduction
7, 13
regulator
1.059245086409150545493153691761773057568
submitted by
NDElkies
submitted at
last updated

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Commentary

91.b2, one of the first two curves (with the 3-isogenous 91.b3) with positive rank and 3-torsion

last edited by NDElkies at · history

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