Elliptic curve isogeny class 5202.2-c over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-5202.2-c
• Conductor: 5202.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 5202.2-c over \(\Q(\sqrt{-1}) \)

Isogeny class 5202.2-c contains 4 curves linked by isogenies of degrees dividing 6.

Curve label	Weierstrass Coefficients
5202.2-c1	\( \bigl[1\) , \( 0\) , \( 1\) , \( -216\) , \( 2062\bigr] \)
5202.2-c2	\( \bigl[1\) , \( 0\) , \( 1\) , \( 1809\) , \( -37790\bigr] \)
5202.2-c3	\( \bigl[i\) , \( 0\) , \( i\) , \( -750\) , \( 6046\bigr] \)
5202.2-c4	\( \bigl[i\) , \( 0\) , \( i\) , \( -255\) , \( -1550\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 3 & 6 & 2 \\ 3 & 1 & 2 & 6 \\ 6 & 2 & 1 & 3 \\ 2 & 6 & 3 & 1 \end{array}\right)\)

Isogeny graph