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SageMath
sage: E = EllipticCurve("bp1")
sage: E.isogeny_class()
Elliptic curves in class 5040bp
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 5040.bd1 | 5040bp1 | [0, 0, 0, 288, 5724] | [] | 3360 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5040bp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5040bp do not have complex multiplication.Modular form 5040.2.a.bp
sage: E.q_eigenform(10)