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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 96330.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96330.bb1 | 96330bk1 | \([1, 0, 1, -25224, -1799978]\) | \(-807812888583637/168099840000\) | \(-369315348480000\) | \([]\) | \(481536\) | \(1.5171\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96330.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96330.bb do not have complex multiplication.Modular form 96330.2.a.bb
sage: E.q_eigenform(10)