Base field 4.4.17069.1
Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 8 x^{2} - 4 x + 3 \); class number \(1\).
Elliptic curves in class 3.1-a over 4.4.17069.1
Isogeny class 3.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 3.1-a1 | \( \bigl[a^{3} - 2 a^{2} - 4 a\) , \( a^{3} - 2 a^{2} - 4 a - 1\) , \( 0\) , \( a^{3} - 2 a^{2} - a + 2\) , \( -23 a^{3} + 63 a^{2} + 78 a - 41\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
