Properties

Base field 6.6.300125.1
Label 6.6.300125.1-64.1-b
Conductor 64.1
Rank \( 0 \)

Related objects

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Base field 6.6.300125.1

Generator \(a\), with minimal polynomial \( x^{6} - x^{5} - 7 x^{4} + 2 x^{3} + 7 x^{2} - 2 x - 1 \); class number \(1\).

Elliptic curves in class 64.1-b over 6.6.300125.1

Isogeny class 64.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
64.1-b1 \( \bigl[-2 a^{5} + a^{4} + 14 a^{3} + 4 a^{2} - 10 a - 2\) , \( 7 a^{5} - 2 a^{4} - 50 a^{3} - 22 a^{2} + 32 a + 10\) , \( -4 a^{5} + a^{4} + 29 a^{3} + 13 a^{2} - 18 a - 5\) , \( 11 a^{5} - 3 a^{4} - 79 a^{3} - 34 a^{2} + 51 a + 16\) , \( 7 a^{5} + a^{4} - 55 a^{3} - 37 a^{2} + 47 a + 8\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph