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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 188760.br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
188760.br1 | 188760cj1 | \([0, -1, 0, -41785, 3301597]\) | \(-17790954496/195\) | \(-88436325120\) | \([]\) | \(686400\) | \(1.2547\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 188760.br1 has rank \(1\).
Complex multiplication
The elliptic curves in class 188760.br do not have complex multiplication.Modular form 188760.2.a.br
sage: E.q_eigenform(10)