Properties

Label 44880.cx
Number of curves $1$
Conductor $44880$
CM no
Rank $1$

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

Elliptic curves in class 44880.cx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44880.cx1 44880cw1 \([0, 1, 0, 28280, -254860]\) \(610641930681719/360747465210\) \(-1477621617500160\) \([]\) \(224640\) \(1.6001\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44880.cx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 44880.cx do not have complex multiplication.

Modular form 44880.2.a.cx

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + 3 q^{7} + q^{9} + q^{11} - 4 q^{13} + q^{15} - q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display