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SageMath
sage: E = EllipticCurve("j1")
sage: E.isogeny_class()
Elliptic curves in class 1425.j
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 1425.j1 | 1425i1 | [0, 1, 1, -58, 169] | [] | 432 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1425.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1425.j do not have complex multiplication.Modular form 1425.2.a.j
sage: E.q_eigenform(10)