Elliptic curve isogeny class 9.1-a over number field 4.4.17428.1

• Base field: 4.4.17428.1
• Label: 4.4.17428.1-9.1-a
• Conductor: 9.1
• Rank: \( 0 \)

Base field 4.4.17428.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 6 x^{2} + 4 x + 6 \); class number \(1\).

Elliptic curves in class 9.1-a over 4.4.17428.1

Isogeny class 9.1-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
9.1-a1	\( \bigl[a^{3} - 4 a\) , \( -a^{3} + 4 a\) , \( a^{3} + a^{2} - 3 a - 3\) , \( a^{3} - 11 a^{2} + 7 a + 15\) , \( 9 a^{3} - 36 a^{2} + 11 a + 37\bigr] \)
9.1-a2	\( \bigl[a\) , \( a^{3} - 3 a\) , \( 1\) , \( -14 a^{3} + 30 a^{2} + 67 a - 123\) , \( 60 a^{3} - 103 a^{2} - 273 a + 443\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph