Elliptic curve isogeny class 71.2-e over number field 6.6.703493.1

• Base field: 6.6.703493.1
• Label: 6.6.703493.1-71.2-e
• Conductor: 71.2
• Rank: \( 0 \)

Base field 6.6.703493.1

Generator \(a\), with minimal polynomial \( x^{6} - 2 x^{5} - 5 x^{4} + 11 x^{3} + 2 x^{2} - 9 x + 1 \); class number \(1\).

Elliptic curves in class 71.2-e over 6.6.703493.1

Isogeny class 71.2-e contains only one elliptic curve.

Curve label	Weierstrass Coefficients
71.2-e1	\( \bigl[2 a^{5} - a^{4} - 11 a^{3} + 5 a^{2} + 11 a - 1\) , \( a^{5} - 2 a^{4} - 5 a^{3} + 9 a^{2} + 2 a - 2\) , \( a^{5} - 6 a^{3} + 8 a + 1\) , \( 38 a^{5} - 67 a^{4} - 196 a^{3} + 362 a^{2} + 113 a - 275\) , \( -200 a^{5} + 382 a^{4} + 1049 a^{3} - 2118 a^{2} - 663 a + 1796\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph