Properties

Label 250173r
Number of curves 1
Conductor 250173
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("250173.r1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 250173r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
250173.r1 250173r1 [0, 0, 1, -2778978, -1473520685] [] 7603200 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 250173r1 has rank \(1\).

Modular form 250173.2.a.r

sage: E.q_eigenform(10)
 
\( q - 2q^{4} - q^{5} - q^{7} - q^{11} - 4q^{13} + 4q^{16} + 6q^{17} + O(q^{20}) \)