Base field \(\Q(\sqrt{33}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 8 \); class number \(1\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 588.3-a over \(\Q(\sqrt{33}) \)
Isogeny class 588.3-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 588.3-a1 | \( \bigl[0\) , \( -a + 1\) , \( a + 1\) , \( 115 a - 386\) , \( 1638 a - 5529\bigr] \) |