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

• Label: 82110.br
• Number of curves: $4$
• Conductor: $82110$
• CM: no
• Rank: $1$

Elliptic curves in class 82110.br

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
82110.br1	82110br4	$[1, 0, 0, -1545324081, 23381332267545]$	$408114879566277798087624787060369/6337051947007316223570000$	$6337051947007316223570000$	$[2]$	$42270720$	$3.8938$
82110.br2	82110br2	$[1, 0, 0, -99474081, 342290857545]$	$108856287578506661479816660369/12378655769859332100000000$	$12378655769859332100000000$	$[2, 2]$	$21135360$	$3.5473$
82110.br3	82110br1	$[1, 0, 0, -23891361, -39265829559]$	$1508156412264989366576166289/206783323792550830080000$	$206783323792550830080000$	$[2]$	$10567680$	$3.2007$	$\Gamma_0(N)$-optimal
82110.br4	82110br3	$[1, 0, 0, 137052399, 1723179753081]$	$284697489670284592032089987951/1447497023154543457031250000$	$-1447497023154543457031250000$	$[2]$	$42270720$	$3.8938$

Rank

The elliptic curves in class 82110.br have rank $1$.

Complex multiplication

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

Modular form 82110.2.a.br

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.