Base field 4.4.17609.1
Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 7 x^{2} + 10 x - 1 \); class number \(1\).
Elliptic curves in class 4.1-b over 4.4.17609.1
Isogeny class 4.1-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 4.1-b1 | \( \bigl[a^{3} - 5 a + 4\) , \( -2 a^{3} - a^{2} + 12 a - 2\) , \( 0\) , \( -13 a^{3} - 5 a^{2} + 81 a - 13\) , \( -6 a^{3} - a^{2} + 38 a - 14\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
