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SageMath
sage: E = EllipticCurve("s1")
sage: E.isogeny_class()
Elliptic curves in class 62400.s
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 62400.s1 | 62400fz1 | [0, -1, 0, 3167, -118463] | [] | 161280 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 62400.s do not have complex multiplication.Modular form 62400.2.a.s
sage: E.q_eigenform(10)