Elliptic curve isogeny class 128.7-a over number field Q(−79)\Q(\sqrt{-79})

• Base field: $\Q(\sqrt{-79})$
• Label: 2.0.79.1-128.7-a
• Conductor: 128.7
• Rank: $1$

Base field $\Q(\sqrt{-79})$

Generator $a$, with minimal polynomial $x^{2} - x + 20$; class number $5$.

Elliptic curves in class 128.7-a over $\Q(\sqrt{-79})$

Isogeny class 128.7-a contains 2 curves linked by isogenies of degree 11.

Curve label	Weierstrass Coefficients
128.7-a1	$\bigl[a + 1$ , $-a$ , $a + 1$ , $2 a - 24$ , $-19 a + 358\bigr]$
128.7-a2	$\bigl[a + 1$ , $-a$ , $a + 1$ , $-253 a + 13131$ , $-124921 a + 34420\bigr]$

Rank

Rank: $1$

Isogeny matrix

$\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)$

Isogeny graph