Elliptic curve isogeny class with LMFDB label 3168.u (Cremona label 3168m)

• Label: 3168.u
• Number of curves: $4$
• Conductor: $3168$
• CM: no
• Rank: $1$

Elliptic curves in class 3168.u

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3168.u1	3168m2	$[0, 0, 0, -4764, -126560]$	$4004529472/99$	$295612416$	$[2]$	$2048$	$0.73453$
3168.u2	3168m3	$[0, 0, 0, -1299, 16198]$	$649461896/72171$	$26937681408$	$[2]$	$2048$	$0.73453$
3168.u3	3168m1	$[0, 0, 0, -309, -1820]$	$69934528/9801$	$457275456$	$[2, 2]$	$1024$	$0.38795$	$\Gamma_0(N)$-optimal
3168.u4	3168m4	$[0, 0, 0, 501, -9758]$	$37259704/131769$	$-49182515712$	$[2]$	$2048$	$0.73453$

Rank

The elliptic curves in class 3168.u have rank $1$.

Complex multiplication

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

Modular form 3168.2.a.u

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.