Properties

Label 35739.m
Number of curves 1
Conductor 35739
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("35739.m1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 35739.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
35739.m1 35739a1 [0, 0, 1, -1481544, 1688080493] [] 1368000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35739.m1 has rank \(1\).

Modular form 35739.2.a.m

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