Properties

Base field 3.3.733.1
Label 3.3.733.1-4.2-a
Conductor 4.2
Rank not recorded

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Base field 3.3.733.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 7 x + 8 \); class number \(1\).

Elliptic curves in class 4.2-a over 3.3.733.1

Isogeny class 4.2-a contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
4.2-a1 \( \bigl[a^{2} + a - 4\) , \( -a^{2} + a + 5\) , \( a^{2} - 4\) , \( -4 a^{2} - 6 a + 20\) , \( -15 a^{2} - 20 a + 48\bigr] \)
4.2-a2 \( \bigl[a\) , \( a\) , \( 0\) , \( 1117 a^{2} + 1696 a - 3548\) , \( -21789 a^{2} - 33080 a + 69221\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph