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

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

Elliptic curves in class 82110.bv

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
82110.bv1	82110bv2	$[1, 0, 0, -29285, -1930815]$	$2777540013143436241/925168184640$	$925168184640$	$[2]$	$245760$	$1.2689$
82110.bv2	82110bv1	$[1, 0, 0, -2085, -21375]$	$1002431968831441/385930137600$	$385930137600$	$[2]$	$122880$	$0.92231$	$\Gamma_0(N)$-optimal

Rank

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

Complex multiplication

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

Modular form 82110.2.a.bv

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.