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SageMath
E = EllipticCurve("go1")
E.isogeny_class()
Elliptic curves in class 265200.go
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
265200.go1 | 265200go1 | \([0, 1, 0, -333633, 686472363]\) | \(-1026767289066496/50316682419315\) | \(-201266729677260000000\) | \([]\) | \(10183680\) | \(2.5759\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 265200.go1 has rank \(0\).
Complex multiplication
The elliptic curves in class 265200.go do not have complex multiplication.Modular form 265200.2.a.go
sage: E.q_eigenform(10)