Elliptic curve isogeny class 16.1-d over number field 4.4.16317.1

• Base field: 4.4.16317.1
• Label: 4.4.16317.1-16.1-d
• Conductor: 16.1
• Rank: \( 0 \)

Base field 4.4.16317.1

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

Elliptic curves in class 16.1-d over 4.4.16317.1

Isogeny class 16.1-d contains only one elliptic curve.

Curve label	Weierstrass Coefficients
16.1-d1	\( \bigl[a^{3} - a^{2} - 3 a + 1\) , \( a^{3} - 2 a^{2} - 4 a + 3\) , \( a^{3} - 4 a - 2\) , \( 26 a^{3} - 57 a^{2} - 96 a + 144\) , \( 52 a^{3} - 113 a^{2} - 190 a + 289\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph