Base field 4.4.5744.1
Generator \(a\), with minimal polynomial \( x^{4} - 5 x^{2} - 2 x + 1 \); class number \(1\).
Elliptic curves in class 37.1-b over 4.4.5744.1
Isogeny class 37.1-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 37.1-b1 | \( \bigl[a^{3} - 5 a\) , \( a^{2} - a - 2\) , \( 1\) , \( -a^{2} + a + 1\) , \( 0\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
