Elliptic curve isogeny class 64.3-a over number field Q(209)\Q(\sqrt{209})

• Base field: $\Q(\sqrt{209})$
• Label: 2.2.209.1-64.3-a
• Conductor: 64.3
• Rank: $0$

Base field $\Q(\sqrt{209})$

Generator $a$, with minimal polynomial $x^{2} - x - 52$; class number $1$.

Elliptic curves in class 64.3-a over $\Q(\sqrt{209})$

Isogeny class 64.3-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
64.3-a1	$\bigl[0$ , $-a + 1$ , $0$ , $-2344029054 a - 15771602917$ , $168876174390731 a + 1136269178681831\bigr]$

Rank

Rank: $0$

Isogeny matrix

$\left(\begin{array}{r} 1 \end{array}\right)$

Isogeny graph