Elliptic curve isogeny class with Cremona label 2550k (LMFDB label 2550.n)

• Label: 2550k
• Number of curves: $4$
• Conductor: $2550$
• CM: no
• Rank: $0$

Elliptic curves in class 2550k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2550.n3	2550k1	$[1, 0, 1, -2526, 42448]$	$114013572049/15667200$	$244800000000$	$[2]$	$4608$	$0.91210$	$\Gamma_0(N)$-optimal
2550.n2	2550k2	$[1, 0, 1, -10526, -373552]$	$8253429989329/936360000$	$14630625000000$	$[2, 2]$	$9216$	$1.2587$
2550.n1	2550k3	$[1, 0, 1, -163526, -25465552]$	$30949975477232209/478125000$	$7470703125000$	$[2]$	$18432$	$1.6053$
2550.n4	2550k4	$[1, 0, 1, 14474, -1873552]$	$21464092074671/109596256200$	$-1712441503125000$	$[2]$	$18432$	$1.6053$

Rank

The elliptic curves in class 2550k have rank $0$.

Complex multiplication

The elliptic curves in class 2550k do not have complex multiplication.

Modular form 2550.2.a.k

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.

$\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.