Properties

Base field 3.3.733.1
Label 3.3.733.1-7.1-a
Conductor 7.1
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 7.1-a over 3.3.733.1

Isogeny class 7.1-a contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
7.1-a1 \( \bigl[a^{2} + a - 4\) , \( a^{2} + a - 6\) , \( a + 1\) , \( 77 a^{2} + 9 a - 494\) , \( 499 a^{2} + 93 a - 3377\bigr] \)
7.1-a2 \( \bigl[a^{2} + a - 4\) , \( a^{2} + a - 6\) , \( a + 1\) , \( -3 a^{2} + 4 a + 26\) , \( 11 a^{2} + 4 a - 58\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph