Base field 4.4.9909.1
Generator \(a\), with minimal polynomial \( x^{4} - 6 x^{2} - 3 x + 3 \); class number \(1\).
Elliptic curves in class 25.1-c over 4.4.9909.1
Isogeny class 25.1-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 25.1-c1 | \( \bigl[1\) , \( -a + 1\) , \( a^{2} - a - 2\) , \( -360 a^{3} + 434 a^{2} + 1633 a - 894\) , \( 3368 a^{3} - 4065 a^{2} - 15295 a + 8363\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
