Elliptic curve isogeny class 15250.5-e over number field Q(−1)\Q(\sqrt{-1})

• Base field: $\Q(\sqrt{-1})$
• Label: 2.0.4.1-15250.5-e
• Conductor: 15250.5
• Rank: $0$

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

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

Rank

Rank: $0$

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 15250.5-e over $\Q(\sqrt{-1})$

Isogeny class 15250.5-e contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
15250.5-e1	$\bigl[1$ , $0$ , $i + 1$ , $-160 i - 47$ , $-1048 i + 37\bigr]$
15250.5-e2	$\bigl[i$ , $0$ , $i + 1$ , $5 i + 9$ , $-8 i + 8\bigr]$