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 361.4-b over 4.4.5125.1
Isogeny class 361.4-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
361.4-b1 | \( \bigl[0\) , \( -a^{3} + 2 a^{2} + 3 a - 3\) , \( a^{3} - 4 a - 3\) , \( -6 a^{3} - 2 a^{2} + 28 a + 26\) , \( -15 a^{3} - 8 a^{2} + 68 a + 65\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)