Properties

Label 126925.b
Number of curves 1
Conductor 126925
CM no
Rank 0

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Show commands for: SageMath

sage: E = EllipticCurve("126925.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 126925.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
126925.b1 126925b1 [0, 0, 1, -175, 781] [] 158720 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 126925.b1 has rank \(0\).

Modular form 126925.2.a.b

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