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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 333795b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333795.b1 | 333795b1 | \([0, -1, 1, -1653065646, 35337047575826]\) | \(-4212633930164198715392/2110866006498046875\) | \(-250323117280305982284216796875\) | \([]\) | \(643921920\) | \(4.3460\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333795b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 333795b do not have complex multiplication.Modular form 333795.2.a.b
sage: E.q_eigenform(10)