Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-63504.1-CMd
Conductor 63504.1
Rank bounds 0...2

Related objects

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Base field \(\Q(\sqrt{-3}) \)

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

Elliptic curves in class 63504.1-CMd over \(\Q(\sqrt{-3}) \)

Isogeny class 63504.1-CMd contains only one elliptic curve.

Curve label Weierstrass Coefficients
63504.1-CMd1 \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -633 a + 708\bigr] \)

Rank

Rank \(r\) satisfies \(0 \le r \le 2\)

Isogeny matrix

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

Isogeny graph