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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 409150.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
409150.bg1 | 409150bg1 | \([1, 0, 1, -798406634576, 274589682009856798]\) | \(-1224751130206834971784807336585/61328559574089728\) | \(-2818454572395344691200000000\) | \([]\) | \(2766614400\) | \(5.1894\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 409150.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 409150.bg do not have complex multiplication.Modular form 409150.2.a.bg
sage: E.q_eigenform(10)