Elliptic curve isogeny class with LMFDB label 193600.fo (Cremona label 193600hx)

• Label: 193600.fo
• Number of curves: $4$
• Conductor: $193600$
• CM: no
• Rank: $0$

Elliptic curves in class 193600.fo

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
193600.fo1	193600hx3	$[0, 0, 0, -91318700, 17284366000]$	$46424454082884/26794860125$	$48607978698654848000000000$	$[2]$	$53084160$	$3.6183$
193600.fo2	193600hx2	$[0, 0, 0, -61068700, -183031134000]$	$55537159171536/228765625$	$103749698404000000000000$	$[2, 2]$	$26542080$	$3.2718$
193600.fo3	193600hx1	$[0, 0, 0, -61008200, -183413131000]$	$885956203616256/15125$	$428717762000000000$	$[2]$	$13271040$	$2.9252$	$\Gamma_0(N)$-optimal
193600.fo4	193600hx4	$[0, 0, 0, -31786700, -358898826000]$	$-1957960715364/29541015625$	$-53589720250000000000000000$	$[2]$	$53084160$	$3.6183$

Rank

The elliptic curves in class 193600.fo have rank $0$.

Complex multiplication

The elliptic curves in class 193600.fo do not have complex multiplication.

Modular form 193600.2.a.fo

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.

$\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.