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SageMath
E = EllipticCurve("gi1")
E.isogeny_class()
Elliptic curves in class 424830gi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
424830.gi1 | 424830gi1 | \([1, 1, 1, -42341685, -122011391013]\) | \(-1231272543361/230400000\) | \(-1570928443437238502400000\) | \([]\) | \(107627520\) | \(3.3671\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 424830gi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 424830gi do not have complex multiplication.Modular form 424830.2.a.gi
sage: E.q_eigenform(10)