Base field 4.4.10309.1
Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 6 x^{2} + 8 x - 1 \); class number \(1\).
Elliptic curves in class 17.2-c over 4.4.10309.1
Isogeny class 17.2-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 17.2-c1 | \( \bigl[a^{2} + 2 a - 4\) , \( a^{2} + a - 3\) , \( a^{3} + a^{2} - 5 a\) , \( 5 a^{3} + 2 a^{2} - 24 a + 16\) , \( 11 a^{3} - 56 a + 44\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
