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-d over 4.4.16357.1
Isogeny class 25.2-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 25.2-d1 | \( \bigl[a^{3} - 5 a\) , \( -a^{2} - a + 2\) , \( a^{2} - 2\) , \( -5 a^{3} + a^{2} + 33 a - 11\) , \( 4 a^{3} - 6 a^{2} - 15 a + 5\bigr] \) |
Rank
Rank \(r\) satisfies \(0 \le r \le 1\)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
