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

• Label: 82110.i
• Number of curves: $2$
• Conductor: $82110$
• CM: no
• Rank: $1$

Elliptic curves in class 82110.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
82110.i1	82110i1	$[1, 1, 0, -15402, -738684]$	$404109561997973161/2215245690000$	$2215245690000$	$[2]$	$221184$	$1.2121$	$\Gamma_0(N)$-optimal
82110.i2	82110i2	$[1, 1, 0, -6902, -1539384]$	$-36370300595789161/998842553849700$	$-998842553849700$	$[2]$	$442368$	$1.5587$

Rank

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

Complex multiplication

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

Modular form 82110.2.a.i

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.