Properties

Base field 3.3.761.1
Label 3.3.761.1-23.2-c
Conductor 23.2
Rank not recorded

Related objects

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Base field 3.3.761.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 6 x - 1 \); class number \(1\).

Elliptic curves in class 23.2-c over 3.3.761.1

Isogeny class 23.2-c contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
23.2-c1 \( \bigl[a^{2} - a - 4\) , \( -a - 1\) , \( 0\) , \( -2 a^{2} + 7 a - 1\) , \( 5 a^{2} - 12 a - 10\bigr] \)
23.2-c2 \( \bigl[a^{2} - a - 4\) , \( -a - 1\) , \( 0\) , \( -1617 a^{2} + 4672 a + 719\) , \( 73180 a^{2} - 211965 a - 38243\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph