Elliptic curve isogeny class 1083.1-c over number field \(\Q(\sqrt{3}) \)

• Base field: \(\Q(\sqrt{3}) \)
• Label: 2.2.12.1-1083.1-c
• Conductor: 1083.1
• Rank: \( 0 \)

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

Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).

Elliptic curves in class 1083.1-c over \(\Q(\sqrt{3}) \)

Isogeny class 1083.1-c contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
1083.1-c1	\( \bigl[0\) , \( -a + 1\) , \( a\) , \( 245858 a - 425861\) , \( 87559214 a - 151657044\bigr] \)
1083.1-c2	\( \bigl[0\) , \( 1\) , \( 1\) , \( 20\) , \( -32\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph