Base field 4.4.16997.1
Generator \(a\), with minimal polynomial \( x^{4} - 6 x^{2} - x + 5 \); class number \(1\).
Elliptic curves in class 5.1-a over 4.4.16997.1
Isogeny class 5.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 5.1-a1 | \( \bigl[a^{3} - 4 a\) , \( -a^{3} + a^{2} + 3 a - 1\) , \( a^{2} + a - 3\) , \( -a^{3} + a^{2}\) , \( -a^{3} + 2 a^{2} + a - 6\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
