Base field 4.4.5125.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 6 x^{2} + 7 x + 11 \); class number \(1\).
Elliptic curves in class 19.2-b over 4.4.5125.1
Isogeny class 19.2-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 19.2-b1 | \( \bigl[0\) , \( a^{3} - 6 a - 3\) , \( a^{2} - 4\) , \( 3 a^{3} - 18 a^{2} + 12 a + 40\) , \( -9 a^{3} + 37 a^{2} - 9 a - 71\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
