Base field 3.3.1101.1
Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 9 x + 12 \); class number \(1\).
Elliptic curves in class 19.1-b over 3.3.1101.1
Isogeny class 19.1-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 19.1-b1 | \( \bigl[a^{2} + a - 6\) , \( a^{2} - 8\) , \( 1\) , \( -2 a^{2} - 2 a + 14\) , \( -40 a^{2} - 68 a + 177\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
