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: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 25.1-c over 4.4.12725.1
Isogeny class 25.1-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 25.1-c1 | \( \bigl[a^{3} - a^{2} - 5 a\) , \( a^{2} - 7\) , \( a^{3} - a^{2} - 6 a\) , \( 4 a^{3} - 26 a - 21\) , \( -3 a^{3} + 27 a + 27\bigr] \) |