Base field \(\Q(\sqrt{33}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 8 \); class number \(1\).
Elliptic curves in class 16.2-a over \(\Q(\sqrt{33}) \)
Isogeny class 16.2-a contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
16.2-a1 | \( \bigl[a\) , \( a - 1\) , \( a\) , \( 31 a + 72\) , \( 26 a + 60\bigr] \) |
16.2-a2 | \( \bigl[a\) , \( a - 1\) , \( a\) , \( a\) , \( 130 a - 436\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)