Properties

Base field 3.3.733.1
Label 3.3.733.1-22.1-c
Conductor 22.1
Rank \( 0 \)

Related objects

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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 22.1-c over 3.3.733.1

Isogeny class 22.1-c contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
22.1-c1 \( \bigl[1\) , \( -a - 1\) , \( a^{2} - 4\) , \( -21666837 a^{2} - 32894563 a + 68832813\) , \( -102589393870 a^{2} - 155751084338 a + 325913579089\bigr] \)
22.1-c2 \( \bigl[a + 1\) , \( -a^{2} - a + 4\) , \( a^{2} - 5\) , \( -3 a^{2} - a + 20\) , \( -6 a^{2} - a + 40\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph