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 475.2-d over 4.4.5125.1
Isogeny class 475.2-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 475.2-d1 | \( \bigl[0\) , \( -a^{2} + 2 a + 5\) , \( a^{2} - a - 4\) , \( 3 a^{3} - 15 a^{2} + 12 a + 21\) , \( 9 a^{3} - 38 a^{2} + 21 a + 44\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
