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curve #2126

y2 + xy = x3 − 33x + 73
a-invariants
[1, 0, 0, -33, 73]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/3ℤ
conductor (N)
682
discriminant (Δ)
-174592
Faltings height
-0.2289
naive height
22.1781
primes of bad reduction
2, 11, 31
regulator
0.7167725770394235363084694923629693385188
submitted by
hdeping
submitted at
last updated

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

Commentary

Specialization of the torsion Z/3 family E: y^2+a*x*y+b^3*y=x^3, arising from x/y+y/z+z/x = k with k = 20-5/2.

last edited by hdeping at · history

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