Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 99.3-a over \(\Q(\sqrt{-11}) \)
Isogeny class 99.3-a contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 99.3-a1 | \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 12 a - 27\) , \( -30 a + 20\bigr] \) |
| 99.3-a2 | \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 2 a - 2\) , \( -1\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
