Elliptic curve isogeny class 2610.3-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-2610.3-a
• Conductor: 2610.3
• Rank: \( 1 \)

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

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

Elliptic curves in class 2610.3-a over \(\Q(\sqrt{-1}) \)

Isogeny class 2610.3-a contains 4 curves linked by isogenies of degrees dividing 10.

Curve label	Weierstrass Coefficients
2610.3-a1	\( \bigl[i\) , \( -i - 1\) , \( i + 1\) , \( -58 i - 66\) , \( -240 i - 148\bigr] \)
2610.3-a2	\( \bigl[1\) , \( i + 1\) , \( i + 1\) , \( 1447 i + 1148\) , \( -6426 i + 30903\bigr] \)
2610.3-a3	\( \bigl[i\) , \( -i - 1\) , \( i + 1\) , \( 232 i - 66\) , \( 1808 i - 42\bigr] \)
2610.3-a4	\( \bigl[1\) , \( i + 1\) , \( i + 1\) , \( 2 i - 7\) , \( 11 i - 8\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 5 & 10 & 2 \\ 5 & 1 & 2 & 10 \\ 10 & 2 & 1 & 5 \\ 2 & 10 & 5 & 1 \end{array}\right)\)

Isogeny graph