Base field 4.4.12725.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 10 x^{2} + 11 x + 29 \); class number \(1\).
Elliptic curves in class 19.1-a over 4.4.12725.1
Isogeny class 19.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 19.1-a1 | \( \bigl[a^{3} - 6 a - 6\) , \( a^{3} - 7 a - 5\) , \( a^{3} - 7 a - 6\) , \( 6 a^{3} - 3 a^{2} - 38 a + 2\) , \( -4 a^{3} + 41 a^{2} - 6 a - 207\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
