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SageMath
sage: E = EllipticCurve("by1")
sage: E.isogeny_class()
Elliptic curves in class 202300by
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 202300.bw1 | 202300by1 | [0, 0, 0, 231200, 130194500] | [] | 7441920 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202300by1 has rank \(0\).
Complex multiplication
The elliptic curves in class 202300by do not have complex multiplication.Modular form 202300.2.a.by
sage: E.q_eigenform(10)