Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("250173.bf1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 250173.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
250173.bf1 250173bf1 [0, 0, 1, 12231402, 15866470291] [] 26956800 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 250173.bf1 has rank \(1\).

Modular form 250173.2.a.bf

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