Properties

Label 160446.be
Number of curves $1$
Conductor $160446$
CM no
Rank $1$

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Show commands: 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)
 
\(q + q^{2} - q^{3} + q^{4} + 3 q^{5} - q^{6} + q^{7} + q^{8} + q^{9} + 3 q^{10} - q^{12} + q^{13} + q^{14} - 3 q^{15} + q^{16} + q^{17} + q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display