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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 12495.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12495.g1 | 12495i1 | \([0, 1, 1, -1731, -41569]\) | \(-4878401536/3346875\) | \(-393756496875\) | \([]\) | \(11520\) | \(0.92529\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12495.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12495.g do not have complex multiplication.Modular form 12495.2.a.g
sage: E.q_eigenform(10)