Elliptic curve isogeny class with LMFDB label 110670.r (Cremona label 110670r)

• Label: 110670.r
• Number of curves: $2$
• Conductor: $110670$
• CM: no
• Rank: $1$

Elliptic curves in class 110670.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
110670.r1	110670r2	$[1, 0, 1, -743879, 246883502]$	$45522884062522454024809/4743078259500$	$4743078259500$	$[2]$	$1105920$	$1.8614$
110670.r2	110670r1	$[1, 0, 1, -46379, 3874502]$	$-11032511590267184809/113472717750000$	$-113472717750000$	$[2]$	$552960$	$1.5148$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 110670.r have rank $1$.

Complex multiplication

The elliptic curves in class 110670.r do not have complex multiplication.

Modular form 110670.2.a.r

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.