Properties

Base field 3.3.733.1
Label 3.3.733.1-16.1-b
Conductor 16.1
Rank \( 0 \)

Related objects

Learn more

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 16.1-b over 3.3.733.1

Isogeny class 16.1-b contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
16.1-b1 \( \bigl[a^{2} - 4\) , \( -a^{2} + a + 4\) , \( 0\) , \( -35 a^{2} + 123 a - 87\) , \( -470 a^{2} + 1734 a - 1386\bigr] \)
16.1-b2 \( \bigl[a^{2} + a - 4\) , \( a^{2} - a - 4\) , \( a\) , \( -234 a^{2} + 860 a - 684\) , \( -6643 a^{2} + 24545 a - 19699\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph