Properties

Base field 3.3.316.1
Label 3.3.316.1-32.2-a
Conductor 32.2
Rank \( 0 \)

Related objects

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Base field 3.3.316.1

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

Elliptic curves in class 32.2-a over 3.3.316.1

Isogeny class 32.2-a contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
32.2-a1 \( \bigl[a^{2} + a - 2\) , \( a^{2} - 3\) , \( a^{2} + a - 2\) , \( 2488 a^{2} - 1312 a - 10563\) , \( 96592 a^{2} - 51120 a - 410419\bigr] \)
32.2-a2 \( \bigl[a^{2} + a - 2\) , \( -a^{2} + a + 4\) , \( a^{2} + a - 2\) , \( 9 a^{2} - 2 a - 33\) , \( 68 a^{2} - 31 a - 280\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph