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SageMath
sage: E = EllipticCurve("ka1")
sage: E.isogeny_class()
Elliptic curves in class 58800.ka
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 58800.ka1 | 58800dr1 | [0, 1, 0, 12, -477] | [] | 18432 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.ka1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58800.ka do not have complex multiplication.Modular form 58800.2.a.ka
sage: E.q_eigenform(10)