Base field 4.4.12725.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 10 x^{2} + 11 x + 29 \); class number \(1\).
Elliptic curves in class 25.1-b over 4.4.12725.1
Isogeny class 25.1-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 25.1-b1 | \( \bigl[0\) , \( -a^{3} + 2 a^{2} + 6 a - 6\) , \( a + 1\) , \( -4 a^{2} + 4 a + 27\) , \( -a^{3} + a^{2} + 6 a - 2\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
