Properties

Label 250173.bg
Number of curves 1
Conductor 250173
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("250173.bg1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 250173.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
250173.bg1 250173bg1 [1, -1, 0, -1012131, -419677882] [] 5593600 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 250173.bg1 has rank \(0\).

Modular form 250173.2.a.bg

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