Properties

Label 35739.j
Number of curves 1
Conductor 35739
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("35739.j1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 35739.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
35739.j1 35739f1 [0, 0, 1, -164616, -62521500] [] 456000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35739.j1 has rank \(0\).

Modular form 35739.2.a.j

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