Base field 4.4.2624.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 3 x^{2} + 2 x + 1 \); class number \(1\).
Elliptic curves in class 28.1-a over 4.4.2624.1
Isogeny class 28.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 28.1-a1 | \( \bigl[a^{3} - 2 a^{2} - 2 a + 2\) , \( -a^{3} + a^{2} + 4 a + 1\) , \( a^{2} - a\) , \( -a^{3} + 4 a + 4\) , \( -a^{3} + 5 a\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
