Properties

Label 35739s
Number of curves 1
Conductor 35739
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("35739.f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 35739s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
35739.f1 35739s1 [1, -1, 1, 68161, -96051400] [] 656640 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35739s1 has rank \(1\).

Modular form 35739.2.a.f

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