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SageMath
E = EllipticCurve("go1")
E.isogeny_class()
Elliptic curves in class 424830go
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
424830.go1 | 424830go1 | \([1, 0, 0, -1288946, -638082474]\) | \(-288568081/47250\) | \(-38777644419075875250\) | \([]\) | \(15863040\) | \(2.4862\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 424830go1 has rank \(1\).
Complex multiplication
The elliptic curves in class 424830go do not have complex multiplication.Modular form 424830.2.a.go
sage: E.q_eigenform(10)