Properties

Label 18097a
Number of curves 1
Conductor 18097
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("18097.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 18097a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
18097.b1 18097a1 [1, 1, 1, -54, 130] [] 1776 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18097a1 has rank \(1\).

Modular form 18097.2.a.b

sage: E.q_eigenform(10)
 
\( q - q^{2} - q^{3} - q^{4} - 2q^{5} + q^{6} - q^{7} + 3q^{8} - 2q^{9} + 2q^{10} + 6q^{11} + q^{12} + 3q^{13} + q^{14} + 2q^{15} - q^{16} - 3q^{17} + 2q^{18} + 4q^{19} + O(q^{20}) \)