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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 308550.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
308550.x1 | 308550x1 | \([1, 1, 0, 256442800, 1182207264000]\) | \(22273769647064375/20099177644032\) | \(-1682983292498014003200000000\) | \([]\) | \(185090400\) | \(3.9116\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 308550.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 308550.x do not have complex multiplication.Modular form 308550.2.a.x
sage: E.q_eigenform(10)