Base field 4.4.18688.1
Generator \(a\), with minimal polynomial \( x^{4} - 10 x^{2} - 4 x + 14 \); class number \(1\).
Elliptic curves in class 16.1-f over 4.4.18688.1
Isogeny class 16.1-f contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 16.1-f1 | \( \bigl[0\) , \( -\frac{1}{3} a^{3} + \frac{1}{3} a^{2} + a - \frac{2}{3}\) , \( a^{2} - 4\) , \( a^{2} - 3\) , \( -a^{2} - a + 1\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
