Base field \(\Q(\sqrt{17}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 4 \); class number \(1\).
Elliptic curves in class 576.6-a over \(\Q(\sqrt{17}) \)
Isogeny class 576.6-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 576.6-a1 | \( \bigl[0\) , \( a + 1\) , \( a + 1\) , \( 10 a - 22\) , \( 20 a - 53\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
