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

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

Elliptic curves in class 110670.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
110670.o1	110670n2	$[1, 1, 0, -1452, -20286]$	$338915024892361/28802199510$	$28802199510$	$[2]$	$139264$	$0.74839$
110670.o2	110670n1	$[1, 1, 0, 98, -1376]$	$102437538839/926307900$	$-926307900$	$[2]$	$69632$	$0.40182$	$\Gamma_0(N)$-optimal

Rank

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

Complex multiplication

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

Modular form 110670.2.a.o

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.