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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 160446.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160446.be1 | 160446z1 | \([1, 1, 1, 1411, -198637]\) | \(2567439070823/143190687744\) | \(-17326073217024\) | \([]\) | \(599040\) | \(1.2199\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160446.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 160446.be do not have complex multiplication.Modular form 160446.2.a.be
sage: E.q_eigenform(10)