Elliptic curve isogeny class 7.2-c over number field 6.6.1279733.1

• Base field: 6.6.1279733.1
• Label: 6.6.1279733.1-7.2-c
• Conductor: 7.2
• Rank: \( 1 \)

Base field 6.6.1279733.1

Generator \(a\), with minimal polynomial \( x^{6} - 2 x^{5} - 6 x^{4} + 10 x^{3} + 10 x^{2} - 11 x - 1 \); class number \(1\).

Elliptic curves in class 7.2-c over 6.6.1279733.1

Isogeny class 7.2-c contains only one elliptic curve.

Curve label	Weierstrass Coefficients
7.2-c1	\( \bigl[a^{4} - 5 a^{2} - a + 3\) , \( a^{5} - a^{4} - 5 a^{3} + 2 a^{2} + 6 a\) , \( a^{5} - 2 a^{4} - 3 a^{3} + 7 a^{2} - 3\) , \( 5 a^{5} - 6 a^{4} - 39 a^{3} + 21 a^{2} + 83 a + 12\) , \( 5 a^{5} - 6 a^{4} - 37 a^{3} + 21 a^{2} + 74 a + 4\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph