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 28.1-e over 4.4.8768.1
Isogeny class 28.1-e contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 28.1-e1 | \( \bigl[a\) , \( a^{3} - 2 a^{2} - 4 a + 2\) , \( a^{3} - 4 a - 2\) , \( 2 a^{3} - 11 a^{2} - a + 38\) , \( 13 a^{3} - 38 a^{2} - 35 a + 106\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
