Base field \(\Q(\sqrt{33}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 8 \); class number \(1\).
Elliptic curves in class 539.1-d over \(\Q(\sqrt{33}) \)
Isogeny class 539.1-d contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
539.1-d1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( 736 a + 1746\) , \( -4230 a - 10035\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)