Base field \(\Q(\sqrt{17}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 4 \); class number \(1\).
Elliptic curves in class 676.5-f over \(\Q(\sqrt{17}) \)
Isogeny class 676.5-f contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 676.5-f1 | \( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( 12 a - 46\) , \( 191 a - 523\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
