Properties

Label 129472.cx
Number of curves $1$
Conductor $129472$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cx1")
 
E.isogeny_class()
 

Elliptic curves in class 129472.cx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129472.cx1 129472cm1 \([0, 1, 0, -22121601, 40039893887]\) \(654699641761/112\) \(204809131364712448\) \([]\) \(6580224\) \(2.7204\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129472.cx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 129472.cx do not have complex multiplication.

Modular form 129472.2.a.cx

sage: E.q_eigenform(10)
 
\(q + q^{3} + 4 q^{5} - q^{7} - 2 q^{9} + 2 q^{13} + 4 q^{15} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display