Properties

Base field 5.5.38569.1
Label 5.5.38569.1-43.2-c
Conductor 43.2
Rank \( 0 \)

Related objects

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Base field 5.5.38569.1

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

Elliptic curves in class 43.2-c over 5.5.38569.1

Isogeny class 43.2-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
43.2-c1 \( \bigl[a^{3} - 4 a\) , \( -3 a^{4} - a^{3} + 14 a^{2} + 4 a - 7\) , \( -a^{4} + 5 a^{2} - 2\) , \( -2 a^{4} - 3 a^{3} + 4 a^{2} + 5 a + 3\) , \( 2 a^{4} + 5 a^{3} + a^{2} - 3 a - 2\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph