Base field 5.5.38569.1
Generator \(a\), with minimal polynomial \( x^{5} - 5 x^{3} + 4 x - 1 \); class number \(1\).
Elliptic curves in class 37.1-d over 5.5.38569.1
Isogeny class 37.1-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 37.1-d1 | \( \bigl[0\) , \( -a^{4} + a^{3} + 4 a^{2} - 3 a - 1\) , \( a + 1\) , \( -a^{4} + a^{3} + 4 a^{2} - 4 a\) , \( -a^{4} - a^{3} + a^{2} - a + 1\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
