Elliptic curve isogeny class 108300.2-k over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-108300.2-k
• Conductor: 108300.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 108300.2-k over \(\Q(\sqrt{-3}) \)

Isogeny class 108300.2-k contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
108300.2-k1	\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -1456 a + 1456\) , \( -21604\bigr] \)
108300.2-k2	\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -23326 a + 23326\) , \( -1373170\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph