Elliptic curve isogeny class 46818.2-b over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-46818.2-b
• Conductor: 46818.2
• Rank: \( 1 \)

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

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

Elliptic curves in class 46818.2-b over \(\Q(\sqrt{-1}) \)

Isogeny class 46818.2-b contains 6 curves linked by isogenies of degrees dividing 8.

Curve label	Weierstrass Coefficients
46818.2-b1	\( \bigl[i\) , \( 1\) , \( 0\) , \( -14796\) , \( -835434\bigr] \)
46818.2-b2	\( \bigl[i\) , \( 1\) , \( 0\) , \( 2034\) , \( -60264\bigr] \)
46818.2-b3	\( \bigl[i\) , \( 1\) , \( 0\) , \( -1026\) , \( -10692\bigr] \)
46818.2-b4	\( \bigl[i\) , \( 1\) , \( 0\) , \( -306\) , \( 1836\bigr] \)
46818.2-b5	\( \bigl[i\) , \( 1\) , \( 0\) , \( -15606\) , \( -754272\bigr] \)
46818.2-b6	\( \bigl[i\) , \( 1\) , \( 0\) , \( -249696\) , \( -48087270\bigr] \)

Rank

Rank: \( 1 \)

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