Elliptic curve isogeny class with Cremona label 1083c (LMFDB label 1083.d)

• Label: 1083c
• Number of curves: $2$
• Conductor: $1083$
• CM: no
• Rank: $0$

Elliptic curves in class 1083c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1083.d2	1083c1	$[0, -1, 1, 7100, 260625]$	$841232384/1121931$	$-52782232316211$	$[]$	$4320$	$1.3189$	$\Gamma_0(N)$-optimal
1083.d1	1083c2	$[0, -1, 1, -1584910, 768519165]$	$-9358714467168256/22284891$	$-1048412330083971$	$[]$	$21600$	$2.1236$

Rank

The elliptic curves in class 1083c have rank $0$.

Complex multiplication

The elliptic curves in class 1083c do not have complex multiplication.

Modular form 1083.2.a.c

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.