Properties

Label 250173s
Number of curves 1
Conductor 250173
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("250173.s1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 250173s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
250173.s1 250173s1 [0, 0, 1, -3078, 56045] [] 207360 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 250173s1 has rank \(2\).

Modular form 250173.2.a.s

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