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 139.1-b over 4.4.725.1
Isogeny class 139.1-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 139.1-b1 | \( \bigl[a^{3} - a^{2} - a + 2\) , \( 0\) , \( a^{2}\) , \( 5 a^{3} - 17 a - 13\) , \( 11 a^{3} - a^{2} - 36 a - 23\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
