Properties

Base field 6.6.434581.1
Label 6.6.434581.1-43.1-b
Conductor 43.1
Rank not recorded

Related objects

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Base field 6.6.434581.1

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

Elliptic curves in class 43.1-b over 6.6.434581.1

Isogeny class 43.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
43.1-b1 \( \bigl[2 a^{5} - 5 a^{4} - 5 a^{3} + 11 a^{2} + a - 3\) , \( -2 a^{5} + 6 a^{4} + 3 a^{3} - 14 a^{2} + 3 a + 5\) , \( a^{4} - 2 a^{3} - 3 a^{2} + 4 a + 1\) , \( a^{5} - 3 a^{4} - a^{3} + 9 a^{2} - 4 a - 2\) , \( -a^{5} + 3 a^{4} + 2 a^{3} - 6 a^{2} + 1\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph