Elliptic curve isogeny class 83200.3-o over number field Q(−1)\Q(\sqrt{-1})

• Base field: $\Q(\sqrt{-1})$
• Label: 2.0.4.1-83200.3-o
• Conductor: 83200.3
• Rank: $1$

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

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

Rank

Rank: $1$

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 83200.3-o over $\Q(\sqrt{-1})$

Isogeny class 83200.3-o contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
83200.3-o1	$\bigl[0$ , $-i - 1$ , $0$ , $10 i - 5$ , $-5 i + 15\bigr]$
83200.3-o2	$\bigl[0$ , $i - 1$ , $0$ , $12 i - 5$ , $-17 i - 7\bigr]$
83200.3-o3	$\bigl[0$ , $i - 1$ , $0$ , $82 i - 45$ , $301 i - 3\bigr]$
83200.3-o4	$\bigl[0$ , $-i + 1$ , $0$ , $182 i - 65$ , $1083 i + 319\bigr]$