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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 54080br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54080.p1 | 54080br1 | \([0, 1, 0, -2305, 42303]\) | \(-244674248/3125\) | \(-17305600000\) | \([]\) | \(69120\) | \(0.77395\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54080br1 has rank \(2\).
Complex multiplication
The elliptic curves in class 54080br do not have complex multiplication.Modular form 54080.2.a.br
sage: E.q_eigenform(10)