Base field \(\Q(\sqrt{37}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 9 \); class number \(1\).
Elliptic curves in class 36.2-d over \(\Q(\sqrt{37}) \)
Isogeny class 36.2-d contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 36.2-d1 | \( \bigl[a\) , \( 0\) , \( a + 1\) , \( -20 a + 66\) , \( -135 a + 474\bigr] \) |
| 36.2-d2 | \( \bigl[1\) , \( a - 1\) , \( 0\) , \( 3\) , \( -1\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
