Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-2475.9-f
Conductor 2475.9
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{-11}) \)

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

Elliptic curves in class 2475.9-f over \(\Q(\sqrt{-11}) \)

Isogeny class 2475.9-f contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
2475.9-f1 \( \bigl[0\) , \( a - 1\) , \( a\) , \( -120 a + 342\) , \( -792 a - 1504\bigr] \)
2475.9-f2 \( \bigl[0\) , \( a - 1\) , \( a\) , \( -380 a + 512\) , \( -1979 a + 6075\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph