Elliptic curve isogeny class 25344.2-bb over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-25344.2-bb
• Conductor: 25344.2
• Rank: \( 0 \)

Base field \(\Q(\sqrt{-11}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).

Elliptic curves in class 25344.2-bb over \(\Q(\sqrt{-11}) \)

Isogeny class 25344.2-bb contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
25344.2-bb1	\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -330\bigr] \)
25344.2-bb2	\( \bigl[0\) , \( 1\) , \( 0\) , \( -155 a + 28\) , \( 1031 a - 1632\bigr] \)
25344.2-bb3	\( \bigl[0\) , \( 1\) , \( 0\) , \( 155 a - 127\) , \( -1031 a - 601\bigr] \)
25344.2-bb4	\( \bigl[0\) , \( 1\) , \( 0\) , \( -1292\) , \( -18312\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph