Elliptic curve isogeny class with LMFDB label 82110.bz (Cremona label 82110bx)

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

Elliptic curves in class 82110.bz

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
82110.bz1	82110bx4	$[1, 0, 0, -275345, -55609533]$	$2308635631424282766481/1192703786215830$	$1192703786215830$	$[2]$	$1032192$	$1.8440$
82110.bz2	82110bx3	$[1, 0, 0, -157045, 23564807]$	$428347490215633667281/7730096413484970$	$7730096413484970$	$[2]$	$1032192$	$1.8440$
82110.bz3	82110bx2	$[1, 0, 0, -20195, -548163]$	$910870482653192881/398111434452900$	$398111434452900$	$[2, 2]$	$516096$	$1.4975$
82110.bz4	82110bx1	$[1, 0, 0, 4305, -63063]$	$8823418415295119/6843786390000$	$-6843786390000$	$[4]$	$258048$	$1.1509$	$\Gamma_0(N)$-optimal

Rank

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

Complex multiplication

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

Modular form 82110.2.a.bz

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.