Base field 4.4.5744.1
Generator \(a\), with minimal polynomial \( x^{4} - 5 x^{2} - 2 x + 1 \); class number \(1\).
Elliptic curves in class 28.1-a over 4.4.5744.1
Isogeny class 28.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 28.1-a1 | \( \bigl[a + 1\) , \( 2 a^{3} - a^{2} - 8 a + 1\) , \( 0\) , \( 13 a^{3} + 3 a^{2} - 59 a - 34\) , \( -37 a^{3} - 8 a^{2} + 184 a + 123\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
