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SageMath
sage: E = EllipticCurve("dm1")
sage: E.isogeny_class()
Elliptic curves in class 25200dm
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 25200.fm1 | 25200dm1 | [0, 0, 0, 16125, 2261250] | [] | 149760 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25200dm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25200dm do not have complex multiplication.Modular form 25200.2.a.dm
sage: E.q_eigenform(10)