Base field \(\Q(\sqrt{17}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 4 \); class number \(1\).
Elliptic curves in class 144.5-e over \(\Q(\sqrt{17}) \)
Isogeny class 144.5-e contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 144.5-e1 | \( \bigl[0\) , \( a - 1\) , \( a + 1\) , \( -4 a - 4\) , \( 3 a + 4\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
