Elliptic curve isogeny class 325.6-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-325.6-a
• Conductor: 325.6
• Rank: \( 0 \)

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

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

Elliptic curves in class 325.6-a over \(\Q(\sqrt{-1}) \)

Isogeny class 325.6-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
325.6-a1	\( \bigl[1\) , \( -1\) , \( i + 1\) , \( -7 i + 3\) , \( 10 i + 5\bigr] \)
325.6-a2	\( \bigl[1\) , \( -1\) , \( i + 1\) , \( 48 i - 7\) , \( 68 i + 74\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph