Base field \(\Q(\sqrt{21}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).
Elliptic curves in class 1792.1-x over \(\Q(\sqrt{21}) \)
Isogeny class 1792.1-x contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
1792.1-x1 | \( \bigl[0\) , \( 1\) , \( 0\) , \( a - 4\) , \( 3 a - 8\bigr] \) |
1792.1-x2 | \( \bigl[0\) , \( 1\) , \( 0\) , \( 21 a - 84\) , \( 131 a - 324\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)