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SageMath
sage: E = EllipticCurve("r1")
sage: E.isogeny_class()
Elliptic curves in class 62400r
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 62400.y1 | 62400r1 | [0, -1, 0, -122708, -16537338] | [] | 460800 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 62400r do not have complex multiplication.Modular form 62400.2.a.r
sage: E.q_eigenform(10)