Elliptic curve isogeny class with Cremona label 3136bb (LMFDB label 3136.c)

• Label: 3136bb
• Number of curves: $2$
• Conductor: $3136$
• CM: no
• Rank: $1$

Elliptic curves in class 3136bb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3136.c2	3136bb1	$[0, 1, 0, -65, -11201]$	$-4/7$	$-53971714048$	$[2]$	$3072$	$0.73829$	$\Gamma_0(N)$-optimal
3136.c1	3136bb2	$[0, 1, 0, -7905, -269921]$	$3543122/49$	$755603996672$	$[2]$	$6144$	$1.0849$

Rank

The elliptic curves in class 3136bb have rank $1$.

Complex multiplication

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

Modular form 3136.2.a.bb

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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.