Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("250173.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 250173.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
250173.a1 250173a1 [0, 0, 1, -1411149, -569744550] [] 10644480 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 250173.a1 has rank \(1\).

Modular form 250173.2.a.a

sage: E.q_eigenform(10)
 
\( q - 2q^{2} + 2q^{4} - 3q^{5} + q^{7} + 6q^{10} + q^{11} - 4q^{13} - 2q^{14} - 4q^{16} + O(q^{20}) \)