Elliptic curve isogeny class 145200.1-c over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-145200.1-c
• Conductor: 145200.1
• Rank: \( 2 \)

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

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

Elliptic curves in class 145200.1-c over \(\Q(\sqrt{-3}) \)

Isogeny class 145200.1-c contains 4 curves linked by isogenies of degrees dividing 6.

Curve label	Weierstrass Coefficients
145200.1-c1	\( \bigl[0\) , \( 1\) , \( 0\) , \( -41\) , \( 120\bigr] \)
145200.1-c2	\( \bigl[0\) , \( 1\) , \( 0\) , \( 319\) , \( -1356\bigr] \)
145200.1-c3	\( \bigl[0\) , \( 1\) , \( 0\) , \( -1556\) , \( -13356\bigr] \)
145200.1-c4	\( \bigl[0\) , \( 1\) , \( 0\) , \( -716\) , \( 7140\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 3 & 6 & 2 \\ 3 & 1 & 2 & 6 \\ 6 & 2 & 1 & 3 \\ 2 & 6 & 3 & 1 \end{array}\right)\)

Isogeny graph