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SageMath
sage: E = EllipticCurve("b1")
sage: E.isogeny_class()
Elliptic curves in class 6003.b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 6003.b1 | 6003a1 | [0, 0, 1, 60, 243] | [] | 1024 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6003.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6003.b do not have complex multiplication.Modular form 6003.2.a.b
sage: E.q_eigenform(10)