Elliptic curve isogeny class 88434.2-b over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-88434.2-b
• Conductor: 88434.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 88434.2-b over \(\Q(\sqrt{-1}) \)

Isogeny class 88434.2-b contains 6 curves linked by isogenies of degrees dividing 8.

Curve label	Weierstrass Coefficients
88434.2-b1	\( \bigl[i\) , \( i\) , \( 0\) , \( 13152 i + 24660\) , \( 1608984 i - 1454274\bigr] \)
88434.2-b2	\( \bigl[i\) , \( i\) , \( 0\) , \( -1808 i - 3390\) , \( 116064 i - 104904\bigr] \)
88434.2-b3	\( \bigl[i\) , \( i\) , \( 0\) , \( 912 i + 1710\) , \( 20592 i - 18612\bigr] \)
88434.2-b4	\( \bigl[1\) , \( -i\) , \( 0\) , \( 272 i + 510\) , \( 3536 i - 3196\bigr] \)
88434.2-b5	\( \bigl[1\) , \( -i\) , \( 0\) , \( 13872 i + 26010\) , \( -1452672 i + 1312992\bigr] \)
88434.2-b6	\( \bigl[1\) , \( -i\) , \( 0\) , \( 221952 i + 416160\) , \( -92612520 i + 83707470\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrrrr} 1 & 8 & 4 & 8 & 2 & 4 \\ 8 & 1 & 2 & 4 & 4 & 8 \\ 4 & 2 & 1 & 2 & 2 & 4 \\ 8 & 4 & 2 & 1 & 4 & 8 \\ 2 & 4 & 2 & 4 & 1 & 2 \\ 4 & 8 & 4 & 8 & 2 & 1 \end{array}\right)\)

Isogeny graph