Elliptic curve isogeny class 7225.3-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-7225.3-a
• Conductor: 7225.3
• 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 7225.3-a over \(\Q(\sqrt{-1}) \)

Isogeny class 7225.3-a contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
7225.3-a1	\( \bigl[0\) , \( -i\) , \( i\) , \( -177 i - 131\) , \( 1282 i + 152\bigr] \)
7225.3-a2	\( \bigl[0\) , \( -i\) , \( i\) , \( 3 i - 1\) , \( 2 i + 2\bigr] \)