Base field \(\Q(\sqrt{21}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).
Elliptic curves in class 847.1-e over \(\Q(\sqrt{21}) \)
Isogeny class 847.1-e contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 847.1-e1 | \( \bigl[1\) , \( 1\) , \( 0\) , \( 4\) , \( 11\bigr] \) |
| 847.1-e2 | \( \bigl[1\) , \( 1\) , \( 0\) , \( -51\) , \( 110\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
