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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 476850.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
476850.g1 | 476850g1 | \([1, 1, 0, 1184750, 566012500]\) | \(99252847/132000\) | \(-244587495275062500000\) | \([]\) | \(23500800\) | \(2.5980\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 476850.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 476850.g do not have complex multiplication.Modular form 476850.2.a.g
sage: E.q_eigenform(10)