Elliptic curve isogeny class 79.1-a over number field 5.5.173513.1

• Base field: 5.5.173513.1
• Label: 5.5.173513.1-79.1-a
• Conductor: 79.1
• Rank: \( 1 \)

Base field 5.5.173513.1

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

Elliptic curves in class 79.1-a over 5.5.173513.1

Isogeny class 79.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
79.1-a1	\( \bigl[a^{4} - 2 a^{3} - 4 a^{2} + a\) , \( -a^{4} + a^{3} + 6 a^{2} + 4 a - 1\) , \( a^{4} - 2 a^{3} - 5 a^{2} + 4 a + 2\) , \( -4 a^{4} + 2 a^{3} + 30 a^{2} + 16 a - 7\) , \( -2 a^{4} + 18 a^{2} + 9 a - 6\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph