Base field \(\Q(\sqrt{21}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).
Elliptic curves in class 192.1-c over \(\Q(\sqrt{21}) \)
Isogeny class 192.1-c contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 192.1-c1 | \( \bigl[0\) , \( 1\) , \( 0\) , \( -a + 3\) , \( 0\bigr] \) |
| 192.1-c2 | \( \bigl[0\) , \( 1\) , \( 0\) , \( 4 a - 12\) , \( 4 a - 12\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
