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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 476850v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
476850.v1 | 476850v1 | \([1, 1, 0, -94075, 83852125]\) | \(-390625/12672\) | \(-2987024163750000000\) | \([]\) | \(8279040\) | \(2.2254\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 476850v1 has rank \(2\).
Complex multiplication
The elliptic curves in class 476850v do not have complex multiplication.Modular form 476850.2.a.v
sage: E.q_eigenform(10)