Elliptic curve isogeny class 1.1-b over number field 6.6.1995125.1

• Base field: 6.6.1995125.1
• Label: 6.6.1995125.1-1.1-b
• Conductor: 1.1
• Rank: \( 0 \)

Base field 6.6.1995125.1

Generator \(a\), with minimal polynomial \( x^{6} - 2 x^{5} - 6 x^{4} + 6 x^{3} + 12 x^{2} + x - 1 \); class number \(1\).

Elliptic curves in class 1.1-b over 6.6.1995125.1

Isogeny class 1.1-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
1.1-b1	\( \bigl[3 a^{5} - 8 a^{4} - 11 a^{3} + 22 a^{2} + 17 a - 3\) , \( a^{3} - 2 a^{2} - 4 a + 1\) , \( a^{5} - 2 a^{4} - 5 a^{3} + 5 a^{2} + 8 a + 1\) , \( 8 a^{5} - 21 a^{4} - 37 a^{3} + 71 a^{2} + 65 a - 27\) , \( 103 a^{5} - 247 a^{4} - 519 a^{3} + 825 a^{2} + 903 a - 265\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph