Elliptic curve isogeny class 176.1-a over number field 4.4.725.1

• Base field: 4.4.725.1
• Label: 4.4.725.1-176.1-a
• Conductor: 176.1
• Rank: \( 0 \)

Base field 4.4.725.1

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

Elliptic curves in class 176.1-a over 4.4.725.1

Isogeny class 176.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
176.1-a1	\( \bigl[a^{3} - 2 a\) , \( a^{3} - 2 a^{2} - 2 a + 2\) , \( a^{2} - 1\) , \( -10 a^{3} + 14 a^{2} + 19 a - 18\) , \( 34 a^{3} - 55 a^{2} - 77 a + 73\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph