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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 67158.br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67158.br1 | 67158bq1 | \([1, -1, 1, -543407, 149474103]\) | \(24342833031142160809/871338958753536\) | \(635206100931327744\) | \([]\) | \(946176\) | \(2.1864\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67158.br1 has rank \(1\).
Complex multiplication
The elliptic curves in class 67158.br do not have complex multiplication.Modular form 67158.2.a.br
sage: E.q_eigenform(10)