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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 259182.br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.br1 | 259182br1 | \([1, -1, 0, 1248, -4781056]\) | \(37125/1705984\) | \(-9873706173585408\) | \([]\) | \(1858560\) | \(1.7479\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182.br1 has rank \(1\).
Complex multiplication
The elliptic curves in class 259182.br do not have complex multiplication.Modular form 259182.2.a.br
sage: E.q_eigenform(10)