Elliptic curve isogeny class with LMFDB label 55440.cq (Cremona label 55440ee)

• Label: 55440.cq
• Number of curves: $2$
• Conductor: $55440$
• CM: no
• Rank: $0$

Elliptic curves in class 55440.cq

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
55440.cq1	55440ee2	\([0, 0, 0, -121152, -16231696]\)	\(-65860951343104/3493875\)	\(-10432654848000\)	\([]\)	\(248832\)	\(1.5658\)
55440.cq2	55440ee1	\([0, 0, 0, -192, -59344]\)	\(-262144/509355\)	\(-1520925880320\)	\([]\)	\(82944\)	\(1.0165\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 55440.cq have rank \(0\).

Complex multiplication

The elliptic curves in class 55440.cq do not have complex multiplication.

Modular form 55440.2.a.cq

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the LMFDB numbering.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.