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SageMath
E = EllipticCurve("ep1")
E.isogeny_class()
Elliptic curves in class 58800ep
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 58800.jz1 | 58800ep1 | \([0, 1, 0, 14292, 20624463]\) | \(1280/729\) | \(-183861121893750000\) | \([]\) | \(645120\) | \(1.9918\) | \(\Gamma_0(N)\)-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)