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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 2550.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2550.g1 | 2550g1 | \([1, 1, 0, -1075, -12875]\) | \(352224985/33048\) | \(12909375000\) | \([]\) | \(3600\) | \(0.67842\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2550.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2550.g do not have complex multiplication.Modular form 2550.2.a.g
sage: E.q_eigenform(10)