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

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-87808.2-h
• 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-h over \(\Q(\sqrt{-3}) \)

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

Curve label	Weierstrass Coefficients
87808.2-h1	\( \bigl[0\) , \( 0\) , \( 0\) , \( -8 a + 5\) , \( -36 a - 2\bigr] \)
87808.2-h2	\( \bigl[0\) , \( 0\) , \( 0\) , \( 472 a - 295\) , \( 2484 a + 138\bigr] \)
87808.2-h3	\( \bigl[0\) , \( 0\) , \( 0\) , \( 152 a - 95\) , \( -540 a - 30\bigr] \)
87808.2-h4	\( \bigl[0\) , \( 0\) , \( 0\) , \( 2392 a - 1495\) , \( -35820 a - 1990\bigr] \)

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