Base field \(\Q(\sqrt{21}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).
Elliptic curves in class 1600.1-l over \(\Q(\sqrt{21}) \)
Isogeny class 1600.1-l contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
1600.1-l1 | \( \bigl[0\) , \( 1\) , \( 0\) , \( -80 a + 224\) , \( -80 a + 224\bigr] \) |
1600.1-l2 | \( \bigl[0\) , \( 1\) , \( 0\) , \( 20 a - 56\) , \( 0\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)