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Base field \(\Q(\sqrt{10}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 10 \); class number \(2\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 135.3-c over \(\Q(\sqrt{10}) \)
Isogeny class 135.3-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 135.3-c1 | \( \bigl[a\) , \( -a\) , \( 0\) , \( 11 a - 98\) , \( -118 a + 193\bigr] \) |