Properties

Label 35739.i
Number of curves 1
Conductor 35739
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("35739.i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 35739.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
35739.i1 35739g1 [0, 0, 1, -456, 9115] [] 24000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35739.i1 has rank \(2\).

Modular form 35739.2.a.i

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