Elliptic curve isogeny class 76250.5-a over number field Q(−1)\Q(\sqrt{-1})

• Base field: $\Q(\sqrt{-1})$
• Label: 2.0.4.1-76250.5-a
• Conductor: 76250.5
• Rank: $1$

Base field $\Q(\sqrt{-1})$

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

Rank

Rank: $1$

Isogeny matrix

$\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)$

Isogeny graph

Elliptic curves in class 76250.5-a over $\Q(\sqrt{-1})$

Isogeny class 76250.5-a contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
76250.5-a1	$\bigl[1$ , $i - 1$ , $i$ , $-i + 166$ , $-927 i - 367\bigr]$
76250.5-a2	$\bigl[i$ , $-1$ , $i + 1$ , $137 i + 213$ , $-938 i + 1000\bigr]$