Elliptic curve isogeny class with LMFDB label 234650.cv (Cremona label 234650cv)

• Label: 234650.cv
• Number of curves: $2$
• Conductor: $234650$
• CM: no
• Rank: $2$

Elliptic curves in class 234650.cv

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
234650.cv1	234650cv2	\([1, 0, 0, -4090318, 3183737412]\)	\(-6434774386429585/140608\)	\(-165375680891200\)	\([]\)	\(7464960\)	\(2.2546\)
234650.cv2	234650cv1	\([1, 0, 0, -47118, 4973572]\)	\(-9836106385/3407872\)	\(-4008158514380800\)	\([]\)	\(2488320\)	\(1.7053\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 234650.cv have rank \(2\).

Complex multiplication

The elliptic curves in class 234650.cv do not have complex multiplication.

Modular form 234650.2.a.cv

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.