Elliptic curve isogeny class with Cremona label 11200cy (LMFDB label 11200.t)

• Label: 11200cy
• Number of curves: $2$
• Conductor: $11200$
• CM: no
• Rank: $1$

Elliptic curves in class 11200cy

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
11200.t2	11200cy1	$[0, -1, 0, 7, 7]$	$4096/7$	$-56000$	$[]$	$640$	$-0.40395$	$\Gamma_0(N)$-optimal
11200.t1	11200cy2	$[0, -1, 0, -593, -5393]$	$-2887553024/16807$	$-134456000$	$[]$	$3200$	$0.40077$

Rank

The elliptic curves in class 11200cy have rank $1$.

Complex multiplication

The elliptic curves in class 11200cy do not have complex multiplication.

Modular form 11200.2.a.cy

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.

$\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.