Base field \(\Q(\sqrt{21}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).
Elliptic curves in class 1764.1-b over \(\Q(\sqrt{21}) \)
Isogeny class 1764.1-b contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1764.1-b1 | \( \bigl[1\) , \( -1\) , \( 0\) , \( -93\) , \( -323\bigr] \) |
| 1764.1-b2 | \( \bigl[a\) , \( -a + 1\) , \( 1\) , \( -8 a + 21\) , \( 942 a - 2630\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
