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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 338130.cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338130.cg1 | 338130cg1 | \([1, -1, 0, -3667464, -2705519880]\) | \(-310027558782241/414375000\) | \(-7291461757539375000\) | \([]\) | \(18579456\) | \(2.5254\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130.cg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338130.cg do not have complex multiplication.Modular form 338130.2.a.cg
sage: E.q_eigenform(10)