Elliptic curve isogeny class 39204.6-b over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-39204.6-b
• Conductor: 39204.6
• Rank: \( 0 \)

Base field \(\Q(\sqrt{-7}) \)

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

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 39204.6-b over \(\Q(\sqrt{-7}) \)

Isogeny class 39204.6-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
39204.6-b1	\( \bigl[1\) , \( -1\) , \( a\) , \( 1144 a - 1818\) , \( 24339 a - 20058\bigr] \)
39204.6-b2	\( \bigl[1\) , \( -1\) , \( a\) , \( -2 a - 543\) , \( 5406 a - 3053\bigr] \)