Elliptic curve isogeny class 87808.2-g over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-87808.2-g
• Conductor: 87808.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 87808.2-g over \(\Q(\sqrt{-3}) \)

Isogeny class 87808.2-g contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
87808.2-g1	\( \bigl[0\) , \( 0\) , \( 0\) , \( -85 a + 96\) , \( -92 a - 310\bigr] \)
87808.2-g2	\( \bigl[0\) , \( 0\) , \( 0\) , \( 80 a - 99\) , \( 412 a - 282\bigr] \)
87808.2-g3	\( \bigl[0\) , \( 0\) , \( 0\) , \( 10 a + 6\) , \( 20 a - 37\bigr] \)
87808.2-g4	\( \bigl[0\) , \( 0\) , \( 0\) , \( 185 a + 111\) , \( 1000 a - 1850\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph