Base field 4.4.12725.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 10 x^{2} + 11 x + 29 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 25.1-h over 4.4.12725.1
Isogeny class 25.1-h contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 25.1-h1 | \( \bigl[0\) , \( a^{3} - a^{2} - 7 a + 1\) , \( a\) , \( -4 a^{2} + 4 a + 27\) , \( a^{3} - 2 a^{2} - 6 a + 5\bigr] \) |