Elliptic curve isogeny class with Cremona label 37026bj (LMFDB label 37026.bm)

• Label: 37026bj
• Number of curves: $6$
• Conductor: $37026$
• CM: no
• Rank: $1$

Elliptic curves in class 37026bj

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
37026.bm5	37026bj1	$[1, -1, 1, -37049, 2554841]$	$4354703137/352512$	$455257956688128$	$[2]$	$163840$	$1.5556$	$\Gamma_0(N)$-optimal
37026.bm4	37026bj2	$[1, -1, 1, -124169, -13858567]$	$163936758817/30338064$	$39180637897472016$	$[2, 2]$	$327680$	$1.9022$
37026.bm6	37026bj3	$[1, -1, 1, 246091, -80949679]$	$1276229915423/2927177028$	$-3780355371254616132$	$[2]$	$655360$	$2.2488$
37026.bm2	37026bj4	$[1, -1, 1, -1888349, -998271007]$	$576615941610337/27060804$	$34948161581387076$	$[2, 2]$	$655360$	$2.2488$
37026.bm3	37026bj5	$[1, -1, 1, -1790339, -1106591659]$	$-491411892194497/125563633938$	$-162161411302168331922$	$[2]$	$1310720$	$2.5953$
37026.bm1	37026bj6	$[1, -1, 1, -30213239, -63913516675]$	$2361739090258884097/5202$	$6718216374738$	$[2]$	$1310720$	$2.5953$

Rank

The elliptic curves in class 37026bj have rank $1$.

Complex multiplication

The elliptic curves in class 37026bj do not have complex multiplication.

Modular form 37026.2.a.bj

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.

$\left(\begin{array}{rrrrrr} 1 & 2 & 4 & 4 & 8 & 8 \\ 2 & 1 & 2 & 2 & 4 & 4 \\ 4 & 2 & 1 & 4 & 8 & 8 \\ 4 & 2 & 4 & 1 & 2 & 2 \\ 8 & 4 & 8 & 2 & 1 & 4 \\ 8 & 4 & 8 & 2 & 4 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.