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SageMath
sage: E = EllipticCurve("es1")
sage: E.isogeny_class()
Elliptic curves in class 29400es
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 29400.cp1 | 29400es1 | [0, 1, 0, 292, 60213] | [] | 46080 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400es1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29400es do not have complex multiplication.Modular form 29400.2.a.es
sage: E.q_eigenform(10)