Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 9801.3-d over \(\Q(\sqrt{-11}) \)
Isogeny class 9801.3-d contains 2 curves linked by isogenies of degree 11.
| Curve label | Weierstrass Coefficients |
|---|---|
| 9801.3-d1 | \( \bigl[1\) , \( -1\) , \( 0\) , \( -270\) , \( 1777\bigr] \) |
| 9801.3-d2 | \( \bigl[1\) , \( -1\) , \( 1\) , \( -23\) , \( 168\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)\)
Isogeny graph
