Base field 4.4.16317.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 4 x^{2} + 5 x + 1 \); class number \(1\).
Elliptic curves in class 16.1-c over 4.4.16317.1
Isogeny class 16.1-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 16.1-c1 | \( \bigl[a^{3} - 5 a - 1\) , \( -a^{3} + a^{2} + 5 a - 1\) , \( a\) , \( -8 a^{3} + 3 a^{2} + 36 a + 14\) , \( -21 a^{3} + a^{2} + 70 a + 7\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
