Base field \(\Q(\sqrt{17}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 4 \); class number \(1\).
Elliptic curves in class 576.6-j over \(\Q(\sqrt{17}) \)
Isogeny class 576.6-j contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
576.6-j1 | \( \bigl[0\) , \( -a\) , \( a + 1\) , \( 11 a - 26\) , \( 36 a - 96\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)