Elliptic curve isogeny class 10.2-b over number field \(\Q(\sqrt{46}) \)

• Base field: \(\Q(\sqrt{46}) \)
• Label: 2.2.184.1-10.2-b
• Conductor: 10.2
• Rank: \( 0 \)

Base field \(\Q(\sqrt{46}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 46 \); class number \(1\).

Elliptic curves in class 10.2-b over \(\Q(\sqrt{46}) \)

Isogeny class 10.2-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
10.2-b1	\( \bigl[1\) , \( 1\) , \( 0\) , \( 508516327 a - 3448925531\) , \( -183383033227434 a + 1243764244654883\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph