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SageMath
E = EllipticCurve("gr1")
E.isogeny_class()
Elliptic curves in class 265200.gr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
265200.gr1 | 265200gr1 | \([0, 1, 0, -1638, 25203]\) | \(-243164694272/2490891\) | \(-4981782000\) | \([]\) | \(175104\) | \(0.67881\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 265200.gr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 265200.gr do not have complex multiplication.Modular form 265200.2.a.gr
sage: E.q_eigenform(10)