Properties

Label 250173.k
Number of curves 1
Conductor 250173
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("250173.k1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 250173.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
250173.k1 250173k1 [1, -1, 1, -9109181, 11340411994] [] 16780800 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 250173.k1 has rank \(1\).

Modular form 250173.2.a.k

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