Base field \(\Q(\sqrt{33}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 8 \); class number \(1\).
Elliptic curves in class 363.1-f over \(\Q(\sqrt{33}) \)
Isogeny class 363.1-f contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
363.1-f1 | \( \bigl[0\) , \( -a + 1\) , \( 1\) , \( 1349 a + 3204\) , \( -9684 a - 22972\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)