Properties

Label 86190bt
Number of curves $1$
Conductor $86190$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 86190bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
86190.bt1 86190bt1 \([1, 1, 1, -101, -5101]\) \(-674636521/65025000\) \(-10989225000\) \([]\) \(63360\) \(0.60625\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 86190bt1 has rank \(1\).

Complex multiplication

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

Modular form 86190.2.a.bt

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