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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 308550.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
308550.g1 | 308550g1 | \([1, 1, 0, -194625, -33129675]\) | \(-10780966283343025/144324288\) | \(-10914524280000\) | \([]\) | \(2405376\) | \(1.6448\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 308550.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 308550.g do not have complex multiplication.Modular form 308550.2.a.g
sage: E.q_eigenform(10)