Properties

Base field 6.6.434581.1
Label 6.6.434581.1-29.1-c
Conductor 29.1
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 29.1-c over 6.6.434581.1

Isogeny class 29.1-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
29.1-c1 \( \bigl[2 a^{5} - 5 a^{4} - 5 a^{3} + 12 a^{2} + a - 3\) , \( 2 a^{5} - 6 a^{4} - 3 a^{3} + 15 a^{2} - 4 a - 6\) , \( 3 a^{5} - 6 a^{4} - 10 a^{3} + 12 a^{2} + 5 a - 2\) , \( 20 a^{5} - 49 a^{4} - 58 a^{3} + 125 a^{2} + 24 a - 46\) , \( 31 a^{5} - 75 a^{4} - 92 a^{3} + 193 a^{2} + 40 a - 78\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph