Elliptic curve isogeny class 28.1-a over number field 4.4.8768.1

• Base field: 4.4.8768.1
• Label: 4.4.8768.1-28.1-a
• Conductor: 28.1
• Rank: \( 0 \)

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 28.1-a over 4.4.8768.1

Isogeny class 28.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
28.1-a1	\( \bigl[a^{3} - 5 a - 3\) , \( -a^{3} + 2 a^{2} + 4 a - 4\) , \( a^{3} - a^{2} - 4 a\) , \( -2 a^{3} - 11 a^{2} + 33 a + 29\) , \( 6 a^{3} - 49 a^{2} + 44 a + 117\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph