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-a over 4.4.5125.1
Isogeny class 475.2-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 475.2-a1 | \( \bigl[0\) , \( a^{3} - 6 a - 5\) , \( a^{2} - 3\) , \( -6 a^{3} - 2 a^{2} + 30 a + 27\) , \( -3 a^{3} - 4 a^{2} + 6 a + 7\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
