Base field \(\Q(\sqrt{33}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 8 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 588.2-b over \(\Q(\sqrt{33}) \)
Isogeny class 588.2-b contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 588.2-b1 | \( \bigl[a\) , \( a - 1\) , \( a\) , \( 3\) , \( a - 2\bigr] \) |
| 588.2-b2 | \( \bigl[a\) , \( -a\) , \( 0\) , \( -96 a - 223\) , \( -838 a - 1986\bigr] \) |