Properties

Label 17661c
Number of curves 1
Conductor 17661
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("17661.e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 17661c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
17661.e1 17661c1 [1, 1, 0, -916687494, 9707579234739] [] 19905600 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17661c1 has rank \(1\).

Modular form 17661.2.a.e

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