Elliptic curve isogeny class 962.1-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-962.1-a
• Conductor: 962.1
• Rank: \( 1 \)

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

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

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 3 & 3 \\ 3 & 1 & 9 \\ 3 & 9 & 1 \end{array}\right)\)

Isogeny graph

Elliptic curves in class 962.1-a over \(\Q(\sqrt{-1}) \)

Isogeny class 962.1-a contains 3 curves linked by isogenies of degrees dividing 9.

Curve label	Weierstrass Coefficients
962.1-a1	\( \bigl[1\) , \( -i - 1\) , \( i\) , \( 4 i + 9\) , \( -11 i + 5\bigr] \)
962.1-a2	\( \bigl[1\) , \( -i - 1\) , \( i\) , \( -i - 1\) , \( 0\bigr] \)
962.1-a3	\( \bigl[1\) , \( -i - 1\) , \( i\) , \( 14 i - 116\) , \( -22 i + 494\bigr] \)