Base field 4.4.8768.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 5 x^{2} + 6 x + 7 \); class number \(1\).
Elliptic curves in class 7.3-a over 4.4.8768.1
Isogeny class 7.3-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
7.3-a1 | \( \bigl[a^{2} - 2\) , \( -a^{2} + 2 a + 2\) , \( a^{2} - a - 3\) , \( -a^{3} + 6 a^{2} - 2 a - 7\) , \( 21 a^{3} - 73 a^{2} + 18 a + 84\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)