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SageMath
sage: E = EllipticCurve("dj1")
sage: E.isogeny_class()
Elliptic curves in class 25200.dj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 25200.dj1 | 25200dn1 | [0, 0, 0, 145125, -61053750] | [] | 449280 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25200.dj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25200.dj do not have complex multiplication.Modular form 25200.2.a.dj
sage: E.q_eigenform(10)