Elliptic curve isogeny class 8.3-d over number field 4.4.19664.1

• Base field: 4.4.19664.1
• Label: 4.4.19664.1-8.3-d
• Number of curves: 1
• Conductor: 8.3
• Rank: \( 1 \)

Base field 4.4.19664.1

Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 5 x^{2} + 2 x + 2 \); class number \(1\).

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 8.3-d over 4.4.19664.1

Isogeny class 8.3-d contains only one elliptic curve.

Curve label	Weierstrass Coefficients
8.3-d1	\( \bigl[0\) , \( -a^{3} + 2 a^{2} + 5 a\) , \( a^{3} - 2 a^{2} - 4 a + 2\) , \( -35 a^{3} + 87 a^{2} + 132 a - 131\) , \( 245 a^{3} - 616 a^{2} - 909 a + 958\bigr] \)