Base field 4.4.16357.1
Generator \(a\), with minimal polynomial \( x^{4} - 6 x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 25.2-e over 4.4.16357.1
Isogeny class 25.2-e contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 25.2-e1 | \( \bigl[a\) , \( -a + 1\) , \( a^{2} + a - 2\) , \( -28 a^{3} + 14 a^{2} + 158 a - 54\) , \( -97 a^{3} + 49 a^{2} + 554 a - 189\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
