Properties

Label 86190.p
Number of curves 1
Conductor 86190
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("86190.p1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 86190.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
86190.p1 86190o1 [1, 1, 0, -17072, -11121144] [] 823680 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 86190.p1 has rank \(1\).

Modular form 86190.2.a.p

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