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SageMath
sage: E = EllipticCurve("z1")
sage: E.isogeny_class()
Elliptic curves in class 29400z
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 29400.bg1 | 29400z1 | [0, -1, 0, -3208, 71212] | [] | 25344 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29400z do not have complex multiplication.Modular form 29400.2.a.z
sage: E.q_eigenform(10)