Base field \(\Q(\sqrt{17}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 4 \); class number \(1\).
Elliptic curves in class 576.3-d over \(\Q(\sqrt{17}) \)
Isogeny class 576.3-d contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
576.3-d1 | \( \bigl[0\) , \( -a\) , \( 0\) , \( 3 a + 4\) , \( -35 a - 56\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)