Elliptic curve isogeny class 21904.1-a over number field Q(−2)\Q(\sqrt{-2})

• Base field: $\Q(\sqrt{-2})$
• Label: 2.0.8.1-21904.1-a
• Conductor: 21904.1
• Rank: $2$

Base field $\Q(\sqrt{-2})$

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

Rank

Rank: $2$

Isogeny matrix

$\left(\begin{array}{rrr} 1 & 3 & 3 \\ 3 & 1 & 9 \\ 3 & 9 & 1 \end{array}\right)$

Isogeny graph

Elliptic curves in class 21904.1-a over $\Q(\sqrt{-2})$

Isogeny class 21904.1-a contains 3 curves linked by isogenies of degrees dividing 9.

Curve label	Weierstrass Coefficients
21904.1-a1	$\bigl[0$ , $-1$ , $0$ , $-93$ , $-305\bigr]$
21904.1-a2	$\bigl[0$ , $-1$ , $0$ , $-13$ , $23\bigr]$
21904.1-a3	$\bigl[0$ , $-1$ , $0$ , $-7493$ , $-247169\bigr]$