Elliptic curve isogeny class 32.1-d over number field 5.5.70601.1

• Base field: 5.5.70601.1
• Label: 5.5.70601.1-32.1-d
• Conductor: 32.1
• Rank: \( 1 \)

Base field 5.5.70601.1

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

Elliptic curves in class 32.1-d over 5.5.70601.1

Isogeny class 32.1-d contains only one elliptic curve.

Curve label	Weierstrass Coefficients
32.1-d1	\( \bigl[a\) , \( -a^{4} + 5 a^{2} + 3 a - 2\) , \( a^{4} - 6 a^{2} - a + 4\) , \( -2 a^{4} + a^{3} + 9 a^{2} + 2 a - 2\) , \( -336 a^{4} + 64 a^{3} + 1731 a^{2} + 730 a - 416\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph