Elliptic curve isogeny class 32000.2-l over number field Q(−1)\Q(\sqrt{-1})

• Base field: $\Q(\sqrt{-1})$
• Label: 2.0.4.1-32000.2-l
• Conductor: 32000.2
• Rank: $0$

Base field $\Q(\sqrt{-1})$

Generator $i$, with minimal polynomial $x^{2} + 1$; class number $1$.

Elliptic curves in class 32000.2-l over $\Q(\sqrt{-1})$

Isogeny class 32000.2-l contains 10 curves linked by isogenies of degrees dividing 16.

Curve label	Weierstrass Coefficients
32000.2-l1	$\bigl[0$ , $0$ , $0$ , $1052 i + 39$ , $8774 i + 9868\bigr]$
32000.2-l2	$\bigl[0$ , $0$ , $0$ , $332 i + 999$ , $11686 i - 6148\bigr]$
32000.2-l3	$\bigl[0$ , $0$ , $0$ , $52 i + 39$ , $374 i + 68\bigr]$
32000.2-l4	$\bigl[0$ , $0$ , $0$ , $-188 i + 1359$ , $654 i - 18972\bigr]$
32000.2-l5	$\bigl[0$ , $0$ , $0$ , $1252 i - 561$ , $-6066 i + 17988\bigr]$
32000.2-l6	$\bigl[0$ , $0$ , $0$ , $-28 i - 21$ , $66 i + 12\bigr]$
32000.2-l7	$\bigl[0$ , $0$ , $0$ , $-8 i - 6$ , $-11 i - 2\bigr]$
32000.2-l8	$\bigl[0$ , $0$ , $0$ , $-428 i - 321$ , $4686 i + 852\bigr]$
32000.2-l9	$\bigl[0$ , $0$ , $0$ , $5332 i + 15999$ , $746686 i - 391148\bigr]$
32000.2-l10	$\bigl[0$ , $0$ , $0$ , $16852 i + 639$ , $561214 i + 628948\bigr]$

Rank

Rank: $0$

Isogeny matrix

$\left(\begin{array}{rrrrrrrrrr} 1 & 4 & 2 & 8 & 2 & 4 & 8 & 8 & 8 & 2 \\ 4 & 1 & 2 & 2 & 8 & 4 & 8 & 8 & 2 & 8 \\ 2 & 2 & 1 & 4 & 4 & 2 & 4 & 4 & 4 & 4 \\ 8 & 2 & 4 & 1 & 16 & 8 & 16 & 16 & 4 & 16 \\ 2 & 8 & 4 & 16 & 1 & 8 & 16 & 16 & 16 & 4 \\ 4 & 4 & 2 & 8 & 8 & 1 & 2 & 2 & 8 & 8 \\ 8 & 8 & 4 & 16 & 16 & 2 & 1 & 4 & 16 & 16 \\ 8 & 8 & 4 & 16 & 16 & 2 & 4 & 1 & 16 & 16 \\ 8 & 2 & 4 & 4 & 16 & 8 & 16 & 16 & 1 & 16 \\ 2 & 8 & 4 & 16 & 4 & 8 & 16 & 16 & 16 & 1 \end{array}\right)$

Isogeny graph