Elliptic curve isogeny class 87808.3-h over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-87808.3-h
• Conductor: 87808.3
• Rank: \( 0 \)

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

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

Elliptic curves in class 87808.3-h over \(\Q(\sqrt{-3}) \)

Isogeny class 87808.3-h contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
87808.3-h1	\( \bigl[0\) , \( 0\) , \( 0\) , \( -19 a + 99\) , \( -412 a + 130\bigr] \)
87808.3-h2	\( \bigl[0\) , \( 0\) , \( 0\) , \( 11 a - 96\) , \( 92 a - 402\bigr] \)
87808.3-h3	\( \bigl[0\) , \( 0\) , \( 0\) , \( 16 a - 6\) , \( -20 a - 17\bigr] \)
87808.3-h4	\( \bigl[0\) , \( 0\) , \( 0\) , \( 296 a - 111\) , \( -1000 a - 850\bigr] \)

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