Properties

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

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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-a over 6.6.485125.1

Isogeny class 79.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
79.1-a1 \( \bigl[a^{5} - 5 a^{3} + 5 a + 1\) , \( 3 a^{5} - 3 a^{4} - 14 a^{3} + 10 a^{2} + 13 a - 2\) , \( a^{5} - a^{4} - 4 a^{3} + 3 a^{2} + 2 a\) , \( 14 a^{5} - 9 a^{4} - 62 a^{3} + 35 a^{2} + 54 a - 11\) , \( 23 a^{5} - 12 a^{4} - 97 a^{3} + 48 a^{2} + 79 a - 22\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph