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Modular curve low-degree point search results
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Curve
Level
Genus
Degree
Complex multiplication
no potential CM
potential CM
CM field Q(sqrt(-1))
CM field Q(sqrt(-3))
CM field Q(sqrt(-7))
CM discriminant -3
CM discriminant -4
CM discriminant -7
CM discriminant -8
CM discriminant -11
CM discriminant -12
CM discriminant -16
CM discriminant -19
CM discriminant -27
CM discriminant -38
CM discriminant -43
CM discriminant -67
CM discriminant -163
Residue field
$\Q(j)$
$j$-invariant
$j$-height
Isolated
yes
yes or unknown
no or unknown
no
unknown
Family
Cusp
X0(N)
X1(N)
Xpm1(N)
X(N)
X1(2,2N)
Xpm1(2,2N)
Xsp(N)
Xns(N)
Xsp+(N)
Xns+(N)
XS4(N)
Xarith(N)
any
yes
no
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▲ level
genus
degree
height of j-invariant
minimal conductor norm
residue field
CM discriminant
columns to display
✓ label
name
✓ genus
✓ degree
✓ isolated
✓ CM discriminant
✓ elliptic curve
✓ residue field
✓ Q(j)
✓ j-invariant
✓ j-height
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