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SageMath
sage: E = EllipticCurve("dc1")
sage: E.isogeny_class()
Elliptic curves in class 19600dc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 19600.i1 | 19600dc1 | [0, 0, 0, 39200, 9089500] | [] | 276480 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19600dc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 19600dc do not have complex multiplication.Modular form 19600.2.a.dc
sage: E.q_eigenform(10)