Base field \(\Q(\sqrt{17}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 4 \); class number \(1\).
Elliptic curves in class 576.6-g over \(\Q(\sqrt{17}) \)
Isogeny class 576.6-g contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 576.6-g1 | \( \bigl[0\) , \( -1\) , \( a + 1\) , \( -6 a + 15\) , \( -12 a + 28\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
