Properties

Label 250173bn
Number of curves $1$
Conductor $250173$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bn1")
 
E.isogeny_class()
 

Elliptic curves in class 250173bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
250173.bn1 250173bn1 \([0, 0, 1, 14079, -1030565]\) \(242970624/501809\) \(-637417255465683\) \([]\) \(1797120\) \(1.5251\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 250173bn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 250173bn do not have complex multiplication.

Modular form 250173.2.a.bn

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} - 2 q^{5} + q^{7} - 4 q^{10} + q^{11} + 7 q^{13} + 2 q^{14} - 4 q^{16} - 5 q^{17} + O(q^{20})\) Copy content Toggle raw display