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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 481650.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
481650.v1 | 481650v1 | \([1, 1, 0, 166800, -124896000]\) | \(272199695/3735552\) | \(-7043279692800000000\) | \([]\) | \(8294400\) | \(2.2973\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 481650.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 481650.v do not have complex multiplication.Modular form 481650.2.a.v
sage: E.q_eigenform(10)