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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 45177.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
45177.b1 | 45177h1 | \([0, 1, 1, 44861674, -86600663518]\) | \(2842734729383936/2567805035499\) | \(-9019362428865121539741579\) | \([]\) | \(12190464\) | \(3.4758\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 45177.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 45177.b do not have complex multiplication.Modular form 45177.2.a.b
sage: E.q_eigenform(10)