Elliptic curve isogeny class 28.1-a over number field 4.4.6224.1

• Base field: 4.4.6224.1
• Label: 4.4.6224.1-28.1-a
• Conductor: 28.1
• Rank: \( 0 \)

Base field 4.4.6224.1

Generator \(a\), with minimal polynomial \( x^{4} - 6 x^{2} - 2 x + 5 \); class number \(1\).

Elliptic curves in class 28.1-a over 4.4.6224.1

Isogeny class 28.1-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
28.1-a1	\( \bigl[a^{3} - 5 a\) , \( a^{3} - 2 a^{2} - 4 a + 6\) , \( 0\) , \( -260 a^{3} - 223 a^{2} + 1404 a + 1704\) , \( 8630 a^{3} + 6860 a^{2} - 46291 a - 54078\bigr] \)
28.1-a2	\( \bigl[0\) , \( -a^{3} + a^{2} + 3 a - 3\) , \( a^{3} - a^{2} - 4 a + 2\) , \( 0\) , \( -a^{2} - a + 1\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph