Base field \(\Q(\sqrt{21}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).
Elliptic curves in class 147.1-b over \(\Q(\sqrt{21}) \)
Isogeny class 147.1-b contains 2 curves linked by isogenies of degree 13.
Curve label | Weierstrass Coefficients |
---|---|
147.1-b1 | \( \bigl[0\) , \( -1\) , \( 1\) , \( -912\) , \( 10919\bigr] \) |
147.1-b2 | \( \bigl[0\) , \( -1\) , \( 1\) , \( -2\) , \( -1\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 13 \\ 13 & 1 \end{array}\right)\)