Elliptic curve isogeny class with LMFDB label 3136.d (Cremona label 3136m)

• Label: 3136.d
• Number of curves: $2$
• Conductor: $3136$
• CM: no
• Rank: $2$

Elliptic curves in class 3136.d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3136.d1	3136m2	$[0, 1, 0, -289, 1791]$	$238328$	$11239424$	$[2]$	$1024$	$0.20753$
3136.d2	3136m1	$[0, 1, 0, -9, 55]$	$-64$	$-1404928$	$[2]$	$512$	$-0.13904$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 3136.d have rank $2$.

Complex multiplication

The elliptic curves in class 3136.d do not have complex multiplication.

Modular form 3136.2.a.d

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.