Elliptic curve isogeny class 83.1-a over number field 5.5.24217.1

• Base field: 5.5.24217.1
• Label: 5.5.24217.1-83.1-a
• Conductor: 83.1
• Rank: \( 0 \)

Base field 5.5.24217.1

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

Elliptic curves in class 83.1-a over 5.5.24217.1

Isogeny class 83.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
83.1-a1	\( \bigl[a^{4} - a^{3} - 4 a^{2} + 4 a + 1\) , \( -4 a^{4} + a^{3} + 19 a^{2} - 2 a - 6\) , \( 3 a^{4} - a^{3} - 14 a^{2} + 3 a + 6\) , \( -8 a^{4} + 2 a^{3} + 37 a^{2} - 4 a - 10\) , \( -6 a^{4} + 2 a^{3} + 27 a^{2} - 3 a - 9\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph