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

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

Elliptic curves in class 110670.s

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
110670.s1	110670u2	$[1, 0, 1, -7379, -195748]$	$44425429548608809/9259966406250$	$9259966406250$	$[2]$	$368640$	$1.2030$
110670.s2	110670u1	$[1, 0, 1, 991, -18304]$	$107789012046071/208419277500$	$-208419277500$	$[2]$	$184320$	$0.85647$	$\Gamma_0(N)$-optimal

Rank

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

Complex multiplication

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

Modular form 110670.2.a.s

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.