Elliptic curve isogeny class with LMFDB label 82110.o (Cremona label 82110q)

• Label: 82110.o
• Number of curves: $4$
• Conductor: $82110$
• CM: no
• Rank: $0$

Elliptic curves in class 82110.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
82110.o1	82110q4	$[1, 1, 0, -5686712, -5222003136]$	$20337966805091038553406601/24168591095040$	$24168591095040$	$[2]$	$2031616$	$2.2809$
82110.o2	82110q2	$[1, 1, 0, -355512, -81660096]$	$4969222174347906673801/5412627298713600$	$5412627298713600$	$[2, 2]$	$1015808$	$1.9344$
82110.o3	82110q3	$[1, 1, 0, -267192, -123117504]$	$-2109582937351555472521/5315560665303840000$	$-5315560665303840000$	$[4]$	$2031616$	$2.2809$
82110.o4	82110q1	$[1, 1, 0, -27832, -592064]$	$2384412229264108681/1234309176360960$	$1234309176360960$	$[2]$	$507904$	$1.5878$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 82110.o have rank $0$.

Complex multiplication

The elliptic curves in class 82110.o do not have complex multiplication.

Modular form 82110.2.a.o

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.