Properties

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

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

Elliptic curves in class 86190.by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
86190.by1 86190cd1 \([1, 1, 1, -107065, -3709945]\) \(4752182606640001/2546899200000\) \(72741988051200000\) \([]\) \(1140480\) \(1.9267\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

The elliptic curves in class 86190.by do not have complex multiplication.

Modular form 86190.2.a.by

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