Properties

Label 86190.by
Number of curves 1
Conductor 86190
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("86190.by1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 86190.by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
86190.by1 86190cd1 [1, 1, 1, -107065, -3709945] [] 1140480 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 86190.by1 has rank \(2\).

Modular form 86190.2.a.by

sage: E.q_eigenform(10)
 
\( q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} - 3q^{7} + q^{8} + q^{9} + q^{10} - 5q^{11} - q^{12} - 3q^{14} - q^{15} + q^{16} + q^{17} + q^{18} - 2q^{19} + O(q^{20}) \)