Elliptic curve isogeny class 1849.3-CMa over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-1849.3-CMa
• Conductor: 1849.3
• Rank: \( 0 \)

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

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

Elliptic curves in class 1849.3-CMa over \(\Q(\sqrt{-7}) \)

Isogeny class 1849.3-CMa contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
1849.3-CMa1	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 7 a + 5\) , \( 3 a - 26\bigr] \)
1849.3-CMa2	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 127 a + 90\) , \( 288 a - 1442\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph