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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 54450.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54450.bb1 | 54450ct1 | \([1, -1, 0, -329742, 72963666]\) | \(-10461203195/162\) | \(-61401733593750\) | \([]\) | \(322560\) | \(1.7807\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54450.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54450.bb do not have complex multiplication.Modular form 54450.2.a.bb
sage: E.q_eigenform(10)