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 11.2-a over 4.4.12725.1
Isogeny class 11.2-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 11.2-a1 | \( \bigl[a\) , \( -a^{3} + a^{2} + 6 a\) , \( a^{2} - 5\) , \( -30 a^{3} + 103 a^{2} + 125 a - 487\) , \( -168 a^{3} + 601 a^{2} + 674 a - 2874\bigr] \) |