Properties

Base field 3.3.733.1
Label 3.3.733.1-2.1-a
Conductor 2.1
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 2.1-a over 3.3.733.1

Isogeny class 2.1-a contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
2.1-a1 \( \bigl[a^{2} + a - 5\) , \( -a^{2} + a + 5\) , \( a + 1\) , \( 8 a^{2} - a - 47\) , \( -14 a^{2} + 2 a + 85\bigr] \)
2.1-a2 \( \bigl[a^{2} + a - 5\) , \( -a^{2} + a + 5\) , \( a + 1\) , \( -82 a^{2} + 19 a + 473\) , \( -18 a^{2} + 123 a - 195\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph