Properties

Base field 4.4.8112.1
Label 4.4.8112.1-13.2-a
Conductor 13.2
Rank \( 0 \)

Related objects

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Base field 4.4.8112.1

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

Elliptic curves in class 13.2-a over 4.4.8112.1

Isogeny class 13.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
13.2-a1 \( \bigl[a^{2} - 2\) , \( a^{2} + a - 4\) , \( a^{3} - 3 a + 1\) , \( -4 a^{3} - 5 a^{2} + 16 a + 21\) , \( 14 a^{3} + 12 a^{2} - 62 a - 56\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph