Properties

Base field 3.3.785.1
Label 3.3.785.1-9.1-c
Conductor 9.1
Rank \( 0 \)

Related objects

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Base field 3.3.785.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 6 x + 5 \); class number \(1\).

Elliptic curves in class 9.1-c over 3.3.785.1

Isogeny class 9.1-c contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
9.1-c1 \( \bigl[a^{2} + a - 4\) , \( a^{2} - a - 5\) , \( a + 1\) , \( -17 a^{2} + 64 a - 50\) , \( 109 a^{2} - 363 a + 216\bigr] \)
9.1-c2 \( \bigl[a^{2} + a - 4\) , \( a^{2} - a - 5\) , \( a + 1\) , \( -2 a^{2} + 4 a + 5\) , \( 2 a^{2} - 2 a - 4\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph