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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 331056.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331056.g1 | 331056g1 | \([0, 0, 0, -23232, 3087920]\) | \(-262144/627\) | \(-3316737706242048\) | \([]\) | \(1935360\) | \(1.6663\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331056.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 331056.g do not have complex multiplication.Modular form 331056.2.a.g
sage: E.q_eigenform(10)