Properties

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

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 250173.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
250173.z1 250173z1 \([0, 0, 1, 6498, 46298]\) \(884736/539\) \(-18485785067211\) \([]\) \(366912\) \(1.2349\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 250173.z1 has rank \(0\).

Complex multiplication

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

Modular form 250173.2.a.z

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