Base field 3.3.169.1
Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 4 x - 1 \); class number \(1\).
Elliptic curves in class 31.1-c over 3.3.169.1
Isogeny class 31.1-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 31.1-c1 | \( \bigl[a^{2} - a - 3\) , \( -a^{2} + a + 4\) , \( 1\) , \( -3 a^{2} + 3 a + 12\) , \( -3 a^{2} + 5 a + 7\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
