Elliptic curve isogeny class with LMFDB label 82110.z (Cremona label 82110y)

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

Elliptic curves in class 82110.z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
82110.z1	82110y4	$[1, 0, 1, -3088994359, -62459382879718]$	$3259680673368195763530660699476329/201095781785032168161288000000$	$201095781785032168161288000000$	$[2]$	$173187072$	$4.3745$
82110.z2	82110y2	$[1, 0, 1, -548298544, 4921801751126]$	$18229509733721637057438776494969/84465268068629449376512200$	$84465268068629449376512200$	$[6]$	$57729024$	$3.8252$
82110.z3	82110y1	$[1, 0, 1, -16857544, 154988557526]$	$-529793445280877735265310969/10070862368645180735640000$	$-10070862368645180735640000$	$[6]$	$28864512$	$3.4787$	$\Gamma_0(N)$-optimal
82110.z4	82110y3	$[1, 0, 1, 151005641, -4075878879718]$	$380805515386703785466660523671/7397142570224064000000000000$	$-7397142570224064000000000000$	$[2]$	$86593536$	$4.0280$

Rank

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

Complex multiplication

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

Modular form 82110.2.a.z

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.

$\left(\begin{array}{rrrr} 1 & 3 & 6 & 2 \\ 3 & 1 & 2 & 6 \\ 6 & 2 & 1 & 3 \\ 2 & 6 & 3 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.