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SageMath
sage: E = EllipticCurve("o1")
sage: E.isogeny_class()
Elliptic curves in class 97461.o
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 97461.o1 | 97461u1 | [0, 0, 1, -399252, 100468044] | [] | 1175552 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97461.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 97461.o do not have complex multiplication.Modular form 97461.2.a.o
sage: E.q_eigenform(10)