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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 96330.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96330.b1 | 96330m1 | \([1, 1, 0, -3065398898, 65791116054708]\) | \(-3905151479803230938867209/32463281250000000000\) | \(-26481295820088281250000000000\) | \([]\) | \(148512000\) | \(4.2803\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96330.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96330.b do not have complex multiplication.Modular form 96330.2.a.b
sage: E.q_eigenform(10)