Properties

Base field 3.3.1129.1
Label 3.3.1129.1-19.1-b
Conductor 19.1
Rank not recorded

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Base field 3.3.1129.1

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

Elliptic curves in class 19.1-b over 3.3.1129.1

Isogeny class 19.1-b contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
19.1-b1 \( \bigl[0\) , \( a^{2} - a - 4\) , \( a^{2} - 5\) , \( -3 a^{2} - 10 a - 1\) , \( 11 a^{2} + 27 a + 4\bigr] \)
19.1-b2 \( \bigl[0\) , \( a^{2} - a - 4\) , \( a + 1\) , \( -2 a^{2} + 4 a + 6\) , \( a^{2} - 3 a - 3\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph