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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 1520g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1520.j1 | 1520g1 | \([0, 0, 0, -763, -8662]\) | \(-11993263569/972800\) | \(-3984588800\) | \([]\) | \(2112\) | \(0.58837\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1520g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1520g do not have complex multiplication.Modular form 1520.2.a.g
sage: E.q_eigenform(10)