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

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-87808.3-f
• Conductor: 87808.3
• Rank: \( 1 \)

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

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

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

Isogeny class 87808.3-f contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
87808.3-f1	\( \bigl[0\) , \( -a\) , \( 0\) , \( -8 a - 36\) , \( -12 a\bigr] \)
87808.3-f2	\( \bigl[0\) , \( -a\) , \( 0\) , \( -28 a - 396\) , \( 460 a + 3008\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph