Elliptic curve isogeny class 486.2-w over number field Q(7)\Q(\sqrt{7})

• Base field: $\Q(\sqrt{7})$
• Label: 2.2.28.1-486.2-w
• Conductor: 486.2
• Rank: $1$

Base field $\Q(\sqrt{7})$

Generator $a$, with minimal polynomial $x^{2} - 7$; class number $1$.

Rank

Rank: $1$

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 486.2-w over $\Q(\sqrt{7})$

Isogeny class 486.2-w contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
486.2-w1	$\bigl[1$ , $-1$ , $1$ , $-21 a + 55$ , $167 a - 442\bigr]$
486.2-w2	$\bigl[1$ , $-1$ , $a$ , $-107 a - 282$ , $-945 a - 2502\bigr]$