Base field 4.4.17725.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 12 x^{2} + 13 x + 41 \); class number \(1\).
Elliptic curves in class 19.2-a over 4.4.17725.1
Isogeny class 19.2-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 19.2-a1 | \( \bigl[a + 1\) , \( -a^{2} + a + 8\) , \( a^{2} - 7\) , \( 9 a^{3} - 44 a^{2} - 11 a + 192\) , \( -42 a^{3} + 177 a^{2} + 94 a - 727\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
