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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 96330be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96330.z1 | 96330be1 | \([1, 0, 1, -2908299, -1909551434]\) | \(-16097333982386425236481/2988441600000000\) | \(-505046630400000000\) | \([]\) | \(3649536\) | \(2.3992\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96330be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 96330be do not have complex multiplication.Modular form 96330.2.a.be
sage: E.q_eigenform(10)