Base field 4.4.8768.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 5 x^{2} + 6 x + 7 \); class number \(1\).
Elliptic curves in class 28.4-a over 4.4.8768.1
Isogeny class 28.4-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 28.4-a1 | \( \bigl[a^{3} - a^{2} - 4 a + 1\) , \( -a^{3} + 6 a + 3\) , \( 0\) , \( -7 a^{3} - 2 a^{2} + 29 a + 22\) , \( -14 a^{3} - 7 a^{2} + 49 a + 38\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
