Base field \(\Q(\sqrt{13}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 3 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 324.2-d over \(\Q(\sqrt{13}) \)
Isogeny class 324.2-d contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 324.2-d1 | \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -9 a - 5\) , \( 25 a + 28\bigr] \) |
| 324.2-d2 | \( \bigl[a\) , \( a\) , \( 1\) , \( -a - 3\) , \( a + 4\bigr] \) |