Elliptic curve isogeny class 11250.3-f over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-11250.3-f
• Conductor: 11250.3
• Rank: \( 1 \)

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

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

Elliptic curves in class 11250.3-f over \(\Q(\sqrt{-1}) \)

Isogeny class 11250.3-f contains 4 curves linked by isogenies of degrees dividing 10.

Curve label	Weierstrass Coefficients
11250.3-f1	\( \bigl[i\) , \( 0\) , \( 0\) , \( -3\) , \( 3\bigr] \)
11250.3-f2	\( \bigl[1\) , \( 0\) , \( 0\) , \( -28\) , \( 272\bigr] \)
11250.3-f3	\( \bigl[1\) , \( 0\) , \( 0\) , \( -828\) , \( 9072\bigr] \)
11250.3-f4	\( \bigl[i\) , \( 0\) , \( 0\) , \( -53\) , \( 153\bigr] \)

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