Base field \(\Q(\sqrt{11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 11 \); class number \(1\).
Elliptic curves in class 16.1-b over \(\Q(\sqrt{11}) \)
Isogeny class 16.1-b contains 2 curves linked by isogenies of degree 11.
| Curve label | Weierstrass Coefficients |
|---|---|
| 16.1-b1 | \( \bigl[0\) , \( -a\) , \( 0\) , \( 1\) , \( a\bigr] \) |
| 16.1-b2 | \( \bigl[0\) , \( a\) , \( 0\) , \( 1\) , \( -a\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)\)
Isogeny graph
