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SageMath
sage: E = EllipticCurve("fx1")
sage: E.isogeny_class()
Elliptic curves in class 62400fx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 62400.n1 | 62400fx1 | [0, -1, 0, 31167, -17114463] | [] | 518400 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400fx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 62400fx do not have complex multiplication.Modular form 62400.2.a.fx
sage: E.q_eigenform(10)