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Curve
Level
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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
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yes
yes or unknown
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unknown
Family
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X0(N)
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▲ level
genus
degree
height of j-invariant
minimal conductor norm
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columns to display
✓ label
name
✓ genus
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✓ CM discriminant
✓ elliptic curve
✓ residue field
✓ Q(j)
✓ j-invariant
✓ j-height
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Pari/GP
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Label
Name
Genus
Degree
Isolated
CM
Elliptic curve
Residue field
$\Q(j)$
$j$-invariant
$j$-height
20.6.0.b.1
$0$
$1$
?
\(\Q\)
\(\Q\)
$0.000$
20.6.0.b.1
$0$
$1$
$-4$
32.a3
\(\Q\)
\(\Q\)
$1728 = 2^{6} \cdot 3^{3}$
$7.455$
20.6.0.b.1
$0$
$1$
4200.j1
\(\Q\)
\(\Q\)
$\tfrac{78608}{21} = 2^{4} \cdot 3^{-1} \cdot 7^{-1} \cdot 17^{3}$
$11.272$
20.6.0.b.1
$0$
$1$
300.a1
\(\Q\)
\(\Q\)
$\tfrac{131072}{9} = 2^{17} \cdot 3^{-2}$
$11.784$
20.6.0.b.1
$0$
$1$
1725.h1
\(\Q\)
\(\Q\)
$\tfrac{148877}{69} = 3^{-1} \cdot 23^{-1} \cdot 53^{3}$
$11.911$
20.6.0.b.1
$0$
$1$
1920.f1
\(\Q\)
\(\Q\)
$\tfrac{219488}{75} = 2^{5} \cdot 3^{-1} \cdot 5^{-2} \cdot 19^{3}$
$12.299$
20.6.0.b.1
$0$
$1$
9600.m1
\(\Q\)
\(\Q\)
$\tfrac{389344}{3} = 2^{5} \cdot 3^{-1} \cdot 23^{3}$
$12.872$
20.6.0.b.1
$0$
$1$
2725.a1
\(\Q\)
\(\Q\)
$\tfrac{804357}{109} = 3^{3} \cdot 31^{3} \cdot 109^{-1}$
$13.598$
20.6.0.b.1
$0$
$1$
420.d1
\(\Q\)
\(\Q\)
$\tfrac{1048576}{525} = 2^{20} \cdot 3^{-1} \cdot 5^{-2} \cdot 7^{-1}$
$13.863$
20.6.0.b.1
$0$
$1$
480.d3
\(\Q\)
\(\Q\)
$\tfrac{1906624}{225} = 2^{6} \cdot 3^{-2} \cdot 5^{-2} \cdot 31^{3}$
$14.461$
20.6.0.b.1
$0$
$1$
12200.h1
\(\Q\)
\(\Q\)
$\tfrac{2963088}{61} = 2^{4} \cdot 3^{3} \cdot 19^{3} \cdot 61^{-1}$
$14.902$
20.6.0.b.1
$0$
$1$
67200.s1
\(\Q\)
\(\Q\)
$\tfrac{3322336}{567} = 2^{5} \cdot 3^{-4} \cdot 7^{-1} \cdot 47^{3}$
$15.016$
20.6.0.b.1
$0$
$1$
580.a1
\(\Q\)
\(\Q\)
$\tfrac{3538944}{725} = 2^{17} \cdot 3^{3} \cdot 5^{-2} \cdot 29^{-1}$
$15.079$
20.6.0.b.1
$0$
$1$
120.b4
\(\Q\)
\(\Q\)
$\tfrac{3631696}{2025} = 2^{4} \cdot 3^{-4} \cdot 5^{-2} \cdot 61^{3}$
$15.105$
20.6.0.b.1
$0$
$1$
4480.d1
\(\Q\)
\(\Q\)
$\tfrac{4244832}{175} = 2^{5} \cdot 3^{3} \cdot 5^{-2} \cdot 7^{-1} \cdot 17^{3}$
$15.261$
20.6.0.b.1
$0$
$1$
525.b1
\(\Q\)
\(\Q\)
$\tfrac{5177717}{189} = 3^{-3} \cdot 7^{-1} \cdot 173^{3}$
$15.460$
20.6.0.b.1
$0$
$1$
3560.e1
\(\Q\)
\(\Q\)
$\tfrac{5256144}{2225} = 2^{4} \cdot 3^{3} \cdot 5^{-2} \cdot 23^{3} \cdot 89^{-1}$
$15.475$
20.6.0.b.1
$0$
$1$
4350.a1
\(\Q\)
\(\Q\)
$\tfrac{7645373}{4176} = 2^{-4} \cdot 3^{-2} \cdot 29^{-1} \cdot 197^{3}$
$15.850$
20.6.0.b.1
$0$
$1$
12300.f1
\(\Q\)
\(\Q\)
$\tfrac{8388608}{3321} = 2^{23} \cdot 3^{-4} \cdot 41^{-1}$
$15.942$
20.6.0.b.1
$0$
$1$
15050.g1
\(\Q\)
\(\Q\)
$\tfrac{13312053}{4816} = 2^{-4} \cdot 3^{3} \cdot 7^{-1} \cdot 43^{-1} \cdot 79^{3}$
$16.404$
20.6.0.b.1
$0$
$1$
1605.b1
\(\Q\)
\(\Q\)
$\tfrac{13997521}{8025} = 3^{-1} \cdot 5^{-2} \cdot 107^{-1} \cdot 241^{3}$
$16.454$
20.6.0.b.1
$0$
$1$
1645.b1
\(\Q\)
\(\Q\)
$\tfrac{15438249}{8225} = 3^{3} \cdot 5^{-2} \cdot 7^{-1} \cdot 47^{-1} \cdot 83^{3}$
$16.552$
20.6.0.b.1
$0$
$1$
5160.e1
\(\Q\)
\(\Q\)
$\tfrac{20720464}{3225} = 2^{4} \cdot 3^{-1} \cdot 5^{-2} \cdot 43^{-1} \cdot 109^{3}$
$16.847$
20.6.0.b.1
$0$
$1$
89400.b1
\(\Q\)
\(\Q\)
$\tfrac{23086352}{12069} = 2^{4} \cdot 3^{-4} \cdot 113^{3} \cdot 149^{-1}$
$16.955$
20.6.0.b.1
$0$
$1$
615.a1
\(\Q\)
\(\Q\)
$\tfrac{24137569}{9225} = 3^{-2} \cdot 5^{-2} \cdot 17^{6} \cdot 41^{-1}$
$16.999$
20.6.0.b.1
$0$
$1$
7725.c1
\(\Q\)
\(\Q\)
$\tfrac{25153757}{309} = 3^{-1} \cdot 103^{-1} \cdot 293^{3}$
$17.041$
20.6.0.b.1
$0$
$1$
700.f1
\(\Q\)
\(\Q\)
$\tfrac{28311552}{49} = 2^{20} \cdot 3^{3} \cdot 7^{-2}$
$17.159$
20.6.0.b.1
$0$
$1$
3360.b1
\(\Q\)
\(\Q\)
$\tfrac{31554496}{525} = 2^{6} \cdot 3^{-1} \cdot 5^{-2} \cdot 7^{-1} \cdot 79^{3}$
$17.267$
20.6.0.b.1
$0$
$1$
19050.d1
\(\Q\)
\(\Q\)
$\tfrac{31855013}{6096} = 2^{-4} \cdot 3^{-1} \cdot 127^{-1} \cdot 317^{3}$
$17.277$
20.6.0.b.1
$0$
$1$
2005.a1
\(\Q\)
\(\Q\)
$\tfrac{33076161}{10025} = 3^{3} \cdot 5^{-2} \cdot 107^{3} \cdot 401^{-1}$
$17.314$
20.6.0.b.1
$0$
$1$
16800.k1
\(\Q\)
\(\Q\)
$\tfrac{36594368}{21} = 2^{6} \cdot 3^{-1} \cdot 7^{-1} \cdot 83^{3}$
$17.415$
20.6.0.b.1
$0$
$1$
28200.a1
\(\Q\)
\(\Q\)
$\tfrac{41141648}{141} = 2^{4} \cdot 3^{-1} \cdot 47^{-1} \cdot 137^{3}$
$17.533$
20.6.0.b.1
$0$
$1$
6440.i1
\(\Q\)
\(\Q\)
$\tfrac{44851536}{4025} = 2^{4} \cdot 3^{3} \cdot 5^{-2} \cdot 7^{-1} \cdot 23^{-1} \cdot 47^{3}$
$17.619$
20.6.0.b.1
$0$
$1$
105.a2
\(\Q\)
\(\Q\)
$\tfrac{47045881}{11025} = 3^{-2} \cdot 5^{-2} \cdot 7^{-2} \cdot 19^{6}$
$17.667$
20.6.0.b.1
$0$
$1$
1380.b1
\(\Q\)
\(\Q\)
$\tfrac{67108864}{1725} = 2^{26} \cdot 3^{-1} \cdot 5^{-2} \cdot 23^{-1}$
$18.022$
20.6.0.b.1
$0$
$1$
2445.b1
\(\Q\)
\(\Q\)
$\tfrac{68417929}{12225} = 3^{-1} \cdot 5^{-2} \cdot 163^{-1} \cdot 409^{3}$
$18.041$
20.6.0.b.1
$0$
$1$
69600.c1
\(\Q\)
\(\Q\)
$\tfrac{78402752}{2349} = 2^{6} \cdot 3^{-4} \cdot 29^{-1} \cdot 107^{3}$
$18.177$
20.6.0.b.1
$0$
$1$
43575.g1
\(\Q\)
\(\Q\)
$\tfrac{83453453}{47061} = 3^{-4} \cdot 7^{-1} \cdot 19^{3} \cdot 23^{3} \cdot 83^{-1}$
$18.240$
20.6.0.b.1
$0$
$1$
25050.h1
\(\Q\)
\(\Q\)
$\tfrac{83453453}{8016} = 2^{-4} \cdot 3^{-1} \cdot 19^{3} \cdot 23^{3} \cdot 167^{-1}$
$18.240$
20.6.0.b.1
$0$
$1$
44160.c1
\(\Q\)
\(\Q\)
$\tfrac{85939808}{46575} = 2^{5} \cdot 3^{-4} \cdot 5^{-2} \cdot 23^{-1} \cdot 139^{3}$
$18.269$
20.6.0.b.1
$0$
$1$
11725.b1
\(\Q\)
\(\Q\)
$\tfrac{92959677}{469} = 3^{3} \cdot 7^{-1} \cdot 67^{-1} \cdot 151^{3}$
$18.348$
20.6.0.b.1
$0$
$1$
8040.j1
\(\Q\)
\(\Q\)
$\tfrac{94875856}{5025} = 2^{4} \cdot 3^{-1} \cdot 5^{-2} \cdot 67^{-1} \cdot 181^{3}$
$18.368$
20.6.0.b.1
$0$
$1$
3045.b1
\(\Q\)
\(\Q\)
$\tfrac{148035889}{15225} = 3^{-1} \cdot 5^{-2} \cdot 7^{-1} \cdot 23^{6} \cdot 29^{-1}$
$18.813$
20.6.0.b.1
$0$
$1$
67200.r1
\(\Q\)
\(\Q\)
$\tfrac{149038816}{64827} = 2^{5} \cdot 3^{-3} \cdot 7^{-4} \cdot 167^{3}$
$18.820$
20.6.0.b.1
$0$
$1$
52575.b1
\(\Q\)
\(\Q\)
$\tfrac{172808693}{56781} = 3^{-4} \cdot 557^{3} \cdot 701^{-1}$
$18.968$
20.6.0.b.1
$0$
$1$
9960.c1
\(\Q\)
\(\Q\)
$\tfrac{192143824}{6225} = 2^{4} \cdot 3^{-1} \cdot 5^{-2} \cdot 83^{-1} \cdot 229^{3}$
$19.074$
20.6.0.b.1
$0$
$1$
73600.s1
\(\Q\)
\(\Q\)
$\tfrac{196111584}{23} = 2^{5} \cdot 3^{3} \cdot 23^{-1} \cdot 61^{3}$
$19.094$
20.6.0.b.1
$0$
$1$
161400.f1
\(\Q\)
\(\Q\)
$\tfrac{202389392}{21789} = 2^{4} \cdot 3^{-4} \cdot 233^{3} \cdot 269^{-1}$
$19.126$
20.6.0.b.1
$0$
$1$
33050.c1
\(\Q\)
\(\Q\)
$\tfrac{212776173}{10576} = 2^{-4} \cdot 3^{3} \cdot 199^{3} \cdot 661^{-1}$
$19.176$
20.6.0.b.1
$0$
$1$
3405.b1
\(\Q\)
\(\Q\)
$\tfrac{217081801}{17025} = 3^{-1} \cdot 5^{-2} \cdot 227^{-1} \cdot 601^{3}$
$19.196$
Next
To download results,
determine the number of results
.
Download
displayed columns
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results
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Pari/GP
SageMath
Magma
Oscar
CSV