Elliptic curve isogeny class 61250.3-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-61250.3-a
• Conductor: 61250.3
• Rank: \( 0 \)

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

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

Elliptic curves in class 61250.3-a over \(\Q(\sqrt{-1}) \)

Isogeny class 61250.3-a contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
61250.3-a1	\( \bigl[i\) , \( 1\) , \( 0\) , \( 58\) , \( 284\bigr] \)
61250.3-a2	\( \bigl[i\) , \( 1\) , \( 0\) , \( -442\) , \( 2784\bigr] \)
61250.3-a3	\( \bigl[i\) , \( 1\) , \( 0\) , \( -2192\) , \( -37466\bigr] \)
61250.3-a4	\( \bigl[i\) , \( 1\) , \( 0\) , \( -6692\) , \( 209034\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph