Elliptic curve isogeny class 450.2-f over number field Q(6)\Q(\sqrt{6})

• Base field: $\Q(\sqrt{6})$
• Label: 2.2.24.1-450.2-f
• Conductor: 450.2
• Rank: $0$

Base field $\Q(\sqrt{6})$

Generator $a$, with minimal polynomial $x^{2} - 6$; class number $1$.

Rank

Rank: $0$

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 450.2-f over $\Q(\sqrt{6})$

Isogeny class 450.2-f contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
450.2-f1	$\bigl[a + 1$ , $-1$ , $a$ , $7 a - 36$ , $24 a - 78\bigr]$
450.2-f2	$\bigl[a + 1$ , $-1$ , $a$ , $127 a - 516$ , $1584 a - 5118\bigr]$