Properties

Base field 3.3.985.1
Label 3.3.985.1-56.1-b
Conductor 56.1
Rank \( 0 \)

Related objects

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Base field 3.3.985.1

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

Elliptic curves in class 56.1-b over 3.3.985.1

Isogeny class 56.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
56.1-b1 \( \bigl[a + 1\) , \( -a^{2} + 3\) , \( a^{2} - 3\) , \( 47 a^{2} - 40 a - 290\) , \( 374 a^{2} - 315 a - 2298\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph