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

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-88434.2-j
• 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-j over \(\Q(\sqrt{-1}) \)

Isogeny class 88434.2-j contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
88434.2-j1	\( \bigl[i\) , \( -i + 1\) , \( i + 1\) , \( 23114 i - 13875\) , \( 1713662 i - 39265\bigr] \)
88434.2-j2	\( \bigl[i\) , \( -i + 1\) , \( i + 1\) , \( 1439 i - 870\) , \( 27347 i - 250\bigr] \)
88434.2-j3	\( \bigl[1\) , \( i - 1\) , \( i + 1\) , \( 1364 i + 614\) , \( -55137 i + 37555\bigr] \)
88434.2-j4	\( \bigl[1\) , \( i - 1\) , \( i + 1\) , \( 89 i - 151\) , \( -132 i - 740\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph