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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 89280bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
89280.t1 | 89280bp1 | \([0, 0, 0, -2164908, 1226186768]\) | \(-46974761601263432/6178001625\) | \(-147579312033792000\) | \([]\) | \(1357824\) | \(2.3144\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 89280bp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 89280bp do not have complex multiplication.Modular form 89280.2.a.bp
sage: E.q_eigenform(10)