Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("86190.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 86190.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
86190.c1 86190b1 [1, 1, 0, -122528, 16139232] [] 748800 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 86190.c1 has rank \(1\).

Modular form 86190.2.a.c

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