Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 1089.2-a over \(\Q(\sqrt{-11}) \)
Isogeny class 1089.2-a contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1089.2-a1 | \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 2 a\) , \( a - 3\bigr] \) |
| 1089.2-a2 | \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -a + 4\) , \( -3\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
