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

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-11250.3-e
• Conductor: 11250.3
• Rank: \( 0 \)

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

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

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

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

Curve label	Weierstrass Coefficients
11250.3-e1	\( \bigl[i\) , \( -1\) , \( 0\) , \( -75\) , \( 375\bigr] \)
11250.3-e2	\( \bigl[1\) , \( 1\) , \( 0\) , \( -700\) , \( 34000\bigr] \)
11250.3-e3	\( \bigl[1\) , \( 1\) , \( 0\) , \( -20700\) , \( 1134000\bigr] \)
11250.3-e4	\( \bigl[i\) , \( -1\) , \( 0\) , \( -1325\) , \( 19125\bigr] \)

Rank

Rank: \( 0 \)

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