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 121.1-a over 4.4.12725.1
Isogeny class 121.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 121.1-a1 | \( \bigl[a^{2} - a - 5\) , \( -1\) , \( a^{2} - a - 5\) , \( 10 a^{3} + 10 a^{2} - 67 a - 93\) , \( 33 a^{3} + 36 a^{2} - 217 a - 308\bigr] \) |