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 20.1-d over 4.4.5744.1
Isogeny class 20.1-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 20.1-d1 | \( \bigl[a + 1\) , \( -a^{2} + a + 1\) , \( a^{3} - 5 a - 1\) , \( 4 a^{3} - 2 a^{2} - 14 a - 8\) , \( -2 a^{3} - 3 a^{2} + 14 a + 10\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
