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

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-87808.3-b
• 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-b over \(\Q(\sqrt{-3}) \)

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

Curve label	Weierstrass Coefficients
87808.3-b1	\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 13 a + 93\) , \( -409 a + 302\bigr] \)
87808.3-b2	\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 213 a - 227\) , \( -2625 a + 790\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph