Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 18432.5-j over \(\Q(\sqrt{-7}) \)
Isogeny class 18432.5-j contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 18432.5-j1 | \( \bigl[0\) , \( 1\) , \( 0\) , \( 17 a - 3\) , \( 21 a + 29\bigr] \) |
| 18432.5-j2 | \( \bigl[0\) , \( 1\) , \( 0\) , \( 2 a + 2\) , \( 2 a - 2\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
