Elliptic curve isogeny class 23716.6-a over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-23716.6-a
• Conductor: 23716.6
• Rank: \( 0 \)

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

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

Elliptic curves in class 23716.6-a over \(\Q(\sqrt{-7}) \)

Isogeny class 23716.6-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
23716.6-a1	\( \bigl[1\) , \( a\) , \( a + 1\) , \( 238 a + 867\) , \( -8297 a + 10004\bigr] \)
23716.6-a2	\( \bigl[1\) , \( a\) , \( a + 1\) , \( 28 a - 8\) , \( -44 a - 76\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph