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SageMath
sage: E = EllipticCurve("bf1")
sage: E.isogeny_class()
Elliptic curves in class 6300.bf
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 6300.bf1 | 6300q1 | [0, 0, 0, 7200, -715500] | [] | 20160 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6300.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6300.bf do not have complex multiplication.Modular form 6300.2.a.bf
sage: E.q_eigenform(10)