Base field 4.4.6125.1
Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 9 x^{2} + 9 x + 11 \); class number \(1\).
Elliptic curves in class 25.1-d over 4.4.6125.1
Isogeny class 25.1-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 25.1-d1 | \( \bigl[0\) , \( 0\) , \( a\) , \( 3 a^{3} + 2 a^{2} - 25 a - 19\) , \( 89 a^{3} + 113 a^{2} - 543 a - 431\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
