Base field \(\Q(\sqrt{21}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).
Elliptic curves in class 1875.1-z over \(\Q(\sqrt{21}) \)
Isogeny class 1875.1-z contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1875.1-z1 | \( \bigl[0\) , \( 1\) , \( 1\) , \( -208\) , \( -1256\bigr] \) |
| 1875.1-z2 | \( \bigl[0\) , \( 1\) , \( 1\) , \( 2\) , \( 4\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
