Base field \(\Q(\sqrt{33}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 8 \); class number \(1\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 16.2-b over \(\Q(\sqrt{33}) \)
Isogeny class 16.2-b contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 16.2-b1 | \( \bigl[a\) , \( -a\) , \( a\) , \( 4 a - 19\) , \( -5 a + 14\bigr] \) |
| 16.2-b2 | \( \bigl[a\) , \( 1\) , \( a\) , \( -3 a - 8\) , \( -3 a - 8\bigr] \) |