Elliptic curve isogeny class 47.2-c over number field 5.5.70601.1

• Base field: 5.5.70601.1
• Label: 5.5.70601.1-47.2-c
• Conductor: 47.2
• 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 47.2-c over 5.5.70601.1

Isogeny class 47.2-c contains only one elliptic curve.

Curve label	Weierstrass Coefficients
47.2-c1	\( \bigl[3 a^{4} - 2 a^{3} - 15 a^{2} + 2 a + 5\) , \( 3 a^{4} - 2 a^{3} - 15 a^{2} + a + 5\) , \( 1\) , \( 8 a^{4} - 5 a^{3} - 41 a^{2} - a + 23\) , \( 4 a^{4} - 4 a^{3} - 21 a^{2} + 8 a + 17\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph