Elliptic curve isogeny class with Cremona label 436800cv (LMFDB label 436800.cv)

• Label: 436800cv
• Number of curves: $4$
• Conductor: $436800$
• CM: no
• Rank: $1$

Elliptic curves in class 436800cv

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
436800.cv3	436800cv1	\([0, -1, 0, -161479633, 789867677137]\)	\(1819018058610682173904/4844385\)	\(1240162560000000\)	\([2]\)	\(33030144\)	\(3.0172\)	\(\Gamma_0(N)\)-optimal
436800.cv2	436800cv2	\([0, -1, 0, -161481633, 789847135137]\)	\(454771411897393003396/23468066028225\)	\(24031299612902400000000\)	\([2, 2]\)	\(66060288\)	\(3.3638\)
436800.cv4	436800cv3	\([0, -1, 0, -152693633, 879616555137]\)	\(-192245661431796830258/51935513760073125\)	\(-106363932180629760000000000\)	\([2]\)	\(132120576\)	\(3.7103\)
436800.cv1	436800cv4	\([0, -1, 0, -170301633, 698762995137]\)	\(266716694084614489298/51372277695070605\)	\(105210424719504599040000000\)	\([2]\)	\(132120576\)	\(3.7103\)

Rank

The elliptic curves in class 436800cv have rank \(1\).

Complex multiplication

The elliptic curves in class 436800cv do not have complex multiplication.

Modular form 436800.2.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 Cremona numbering.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.