Base field \(\Q(\sqrt{17}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 4 \); class number \(1\).
Elliptic curves in class 784.4-f over \(\Q(\sqrt{17}) \)
Isogeny class 784.4-f contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 784.4-f1 | \( \bigl[0\) , \( 1\) , \( a\) , \( -33 a - 52\) , \( 131 a + 204\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
