Properties

Base field 6.6.485125.1
Label 6.6.485125.1-79.1-e
Conductor 79.1
Rank not recorded

Related objects

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Base field 6.6.485125.1

Generator \(a\), with minimal polynomial \( x^{6} - 2 x^{5} - 4 x^{4} + 8 x^{3} + 2 x^{2} - 5 x + 1 \); class number \(1\).

Elliptic curves in class 79.1-e over 6.6.485125.1

Isogeny class 79.1-e contains only one elliptic curve.

Curve label Weierstrass Coefficients
79.1-e1 \( \bigl[0\) , \( -2 a^{5} + 3 a^{4} + 9 a^{3} - 11 a^{2} - 9 a + 4\) , \( -a^{5} + 2 a^{4} + 4 a^{3} - 6 a^{2} - 2 a + 1\) , \( a^{5} - a^{4} - 7 a^{3} + 3 a^{2} + 12 a + 1\) , \( -2 a^{5} + 4 a^{4} + 12 a^{3} - 15 a^{2} - 17 a + 7\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph