Elliptic curve isogeny class 83232.3-b over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-83232.3-b
• Conductor: 83232.3
• Rank: \( 0 \)

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

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

Elliptic curves in class 83232.3-b over \(\Q(\sqrt{-1}) \)

Isogeny class 83232.3-b contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
83232.3-b1	\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -524 i + 15\) , \( -2929 i + 3643\bigr] \)
83232.3-b2	\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -134 i - 355\) , \( 1341 i + 2645\bigr] \)
83232.3-b3	\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -29 i - 10\) , \( -30 i + 122\bigr] \)
83232.3-b4	\( \bigl[0\) , \( i\) , \( 0\) , \( -42 i - 42\) , \( -150 i - 60\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph