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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 31713g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
31713.f1 | 31713g1 | \([0, 1, 1, 615681, 221020808]\) | \(31490048/43923\) | \(-36000533249057722323\) | \([]\) | \(662160\) | \(2.4382\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 31713g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 31713g do not have complex multiplication.Modular form 31713.2.a.g
sage: E.q_eigenform(10)