Base field 4.4.6125.1
Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 9 x^{2} + 9 x + 11 \); class number \(1\).
Elliptic curves in class 71.2-b over 4.4.6125.1
Isogeny class 71.2-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
71.2-b1 | \( \bigl[1\) , \( -a^{2} + a + 3\) , \( a^{3} + 2 a^{2} - 5 a - 8\) , \( -4 a^{3} + 9 a^{2} + 28 a - 66\) , \( -19 a^{3} + 30 a^{2} + 146 a - 267\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)