Base field 4.4.725.1
Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 3 x^{2} + x + 1 \); class number \(1\).
Elliptic curves in class 139.3-a over 4.4.725.1
Isogeny class 139.3-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 139.3-a1 | \( \bigl[1\) , \( a^{3} - a^{2} - 2 a\) , \( a^{3} - a^{2} - 2 a + 1\) , \( -a^{2}\) , \( -a^{3} - a^{2} + a\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
