Elliptic curve isogeny class with LMFDB label 3168.a (Cremona label 3168i)

• Label: 3168.a
• Number of curves: $4$
• Conductor: $3168$
• CM: no
• Rank: $0$

Elliptic curves in class 3168.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3168.a1	3168i3	$[0, 0, 0, -2822691, 1825337270]$	$6663712298552914184/29403$	$10974610944$	$[4]$	$30720$	$2.0131$
3168.a2	3168i2	$[0, 0, 0, -187356, 24784544]$	$243578556889408/52089208083$	$155537541908508672$	$[2]$	$30720$	$2.0131$
3168.a3	3168i1	$[0, 0, 0, -176421, 28519940]$	$13015685560572352/864536409$	$40335810698304$	$[2, 2]$	$15360$	$1.6665$	$\Gamma_0(N)$-optimal
3168.a4	3168i4	$[0, 0, 0, -165531, 32194226]$	$-1343891598641864/421900912521$	$-157473671796638208$	$[2]$	$30720$	$2.0131$

Rank

The elliptic curves in class 3168.a have rank $0$.

Complex multiplication

The elliptic curves in class 3168.a do not have complex multiplication.

Modular form 3168.2.a.a

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.