Base field \(\Q(\sqrt{37}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 9 \); class number \(1\).
Elliptic curves in class 33.3-b over \(\Q(\sqrt{37}) \)
Isogeny class 33.3-b contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 33.3-b1 | \( \bigl[1\) , \( 0\) , \( 1\) , \( -a - 3\) , \( -a - 3\bigr] \) |
| 33.3-b2 | \( \bigl[a + 1\) , \( 0\) , \( 1\) , \( 51 a - 174\) , \( 347 a - 1224\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
