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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 388416.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388416.g1 | 388416g1 | \([0, -1, 0, -268577, -479160159]\) | \(-2343314/107163\) | \(-97981968501949464576\) | \([]\) | \(13160448\) | \(2.5160\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388416.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388416.g do not have complex multiplication.Modular form 388416.2.a.g
sage: E.q_eigenform(10)