Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-99937.5-a
Conductor 99937.5
Rank not recorded

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 99937.5-a over \(\Q(\sqrt{-3}) \)

Isogeny class 99937.5-a contains 4 curves linked by isogenies of degrees dividing 6.

Curve label Weierstrass Coefficients
99937.5-a1 \( \bigl[1\) , \( -a - 1\) , \( a\) , \( -426 a + 517\) , \( 1222 a + 3066\bigr] \)
99937.5-a2 \( \bigl[1\) , \( -a - 1\) , \( a\) , \( 44 a - 213\) , \( -308 a + 1248\bigr] \)
99937.5-a3 \( \bigl[1\) , \( -a - 1\) , \( a\) , \( 9 a - 13\) , \( 8 a + 29\bigr] \)
99937.5-a4 \( \bigl[1\) , \( -a - 1\) , \( a\) , \( -261 a + 552\) , \( -2215 a + 6278\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 6 & 3 & 2 \\ 6 & 1 & 2 & 3 \\ 3 & 2 & 1 & 6 \\ 2 & 3 & 6 & 1 \end{array}\right)\)

Isogeny graph