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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 48400bp
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 48400.i1 | 48400bp1 | \([0, 0, 0, 232925, -40262750]\) | \(9261/10\) | \(-1509086522240000000\) | \([]\) | \(1520640\) | \(2.1748\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 48400bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 48400bp do not have complex multiplication.Modular form 48400.2.a.bp
sage: E.q_eigenform(10)