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SageMath
sage: E = EllipticCurve("ep1")
sage: E.isogeny_class()
Elliptic curves in class 58800ep
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 58800.jz1 | 58800ep1 | [0, 1, 0, 14292, 20624463] | [] | 645120 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800ep1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800ep do not have complex multiplication.Modular form 58800.2.a.ep
sage: E.q_eigenform(10)