Base field \(\Q(\sqrt{33}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 8 \); class number \(1\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 576.7-k over \(\Q(\sqrt{33}) \)
Isogeny class 576.7-k contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 576.7-k1 | \( \bigl[0\) , \( 0\) , \( a + 1\) , \( 0\) , \( -123 a + 410\bigr] \) |
| 576.7-k2 | \( \bigl[0\) , \( 0\) , \( a + 1\) , \( 0\) , \( 192 a + 455\bigr] \) |