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SageMath
sage: E = EllipticCurve("b1")
sage: E.isogeny_class()
Elliptic curves in class 1400.b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 1400.b1 | 1400n1 | [0, 1, 0, -8, 13] | [] | 144 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1400.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1400.b do not have complex multiplication.Modular form 1400.2.a.b
sage: E.q_eigenform(10)