Elliptic curve isogeny class 2025.2-b over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-2025.2-b
• Conductor: 2025.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 2025.2-b over \(\Q(\sqrt{-1}) \)

Isogeny class 2025.2-b contains 4 curves linked by isogenies of degrees dividing 6.

Curve label	Weierstrass Coefficients
2025.2-b1	\( \bigl[i + 1\) , \( i\) , \( i\) , \( -2 i + 11\) , \( -9 i - 2\bigr] \)
2025.2-b2	\( \bigl[i + 1\) , \( i\) , \( 1\) , \( 13 i + 100\) , \( -341 i + 74\bigr] \)
2025.2-b3	\( \bigl[i + 1\) , \( i\) , \( i\) , \( 13 i - 34\) , \( -98 i - 20\bigr] \)
2025.2-b4	\( \bigl[i + 1\) , \( i\) , \( 1\) , \( -2 i - 5\) , \( -5 i + 1\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph