Base field 4.4.5125.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 6 x^{2} + 7 x + 11 \); class number \(1\).
Elliptic curves in class 41.1-f over 4.4.5125.1
Isogeny class 41.1-f contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 41.1-f1 | \( \bigl[0\) , \( a^{3} - 2 a^{2} - 3 a + 4\) , \( a^{3} - 4 a - 3\) , \( 9 a^{3} - 34 a^{2} + 4 a + 60\) , \( 30 a^{3} - 115 a^{2} + 15 a + 198\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
