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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 58835.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58835.g1 | 58835l1 | \([0, 0, 1, 147928, -1912558]\) | \(75365351424/43946875\) | \(-208752237316196875\) | \([]\) | \(403200\) | \(2.0128\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58835.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58835.g do not have complex multiplication.Modular form 58835.2.a.g
sage: E.q_eigenform(10)