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 19.4-b over 4.4.17725.1
Isogeny class 19.4-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 19.4-b1 | \( \bigl[a^{3} - 7 a - 6\) , \( 1\) , \( a^{3} - a^{2} - 6 a + 1\) , \( 3 a^{3} + 3 a^{2} - 22 a - 33\) , \( 6 a^{3} + 7 a^{2} - 45 a - 71\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
