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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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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
10.6.0.a.1
$0$
$1$
?
\(\Q\)
\(\Q\)
$0.000$
10.6.0.a.1
$0$
$1$
$-4$
32.a3
\(\Q\)
\(\Q\)
$1728 = 2^{6} \cdot 3^{3}$
$7.455$
10.6.0.a.1
$0$
$1$
200.b2
\(\Q\)
\(\Q\)
$2048 = 2^{11}$
$7.625$
10.6.0.a.1
$0$
$1$
20.a3
\(\Q\)
\(\Q\)
$\tfrac{16384}{5} = 2^{14} \cdot 5^{-1}$
$9.704$
10.6.0.a.1
$0$
$1$
40.a3
\(\Q\)
\(\Q\)
$\tfrac{55296}{5} = 2^{11} \cdot 3^{3} \cdot 5^{-1}$
$10.920$
10.6.0.a.1
$0$
$1$
200.b1
\(\Q\)
\(\Q\)
$78608 = 2^{4} \cdot 17^{3}$
$11.272$
10.6.0.a.1
$0$
$1$
300.a1
\(\Q\)
\(\Q\)
$\tfrac{131072}{9} = 2^{17} \cdot 3^{-2}$
$11.784$
10.6.0.a.1
$0$
$1$
160.a1
\(\Q\)
\(\Q\)
$\tfrac{438976}{5} = 2^{6} \cdot 5^{-1} \cdot 19^{3}$
$12.992$
10.6.0.a.1
$0$
$1$
1100.c2
\(\Q\)
\(\Q\)
$\tfrac{442368}{121} = 2^{14} \cdot 3^{3} \cdot 11^{-2}$
$13.000$
10.6.0.a.1
$0$
$1$
2200.b1
\(\Q\)
\(\Q\)
$\tfrac{595508}{121} = 2^{2} \cdot 11^{-2} \cdot 53^{3}$
$13.297$
10.6.0.a.1
$0$
$1$
15200.b2
\(\Q\)
\(\Q\)
$\tfrac{778688}{361} = 2^{6} \cdot 19^{-2} \cdot 23^{3}$
$13.565$
10.6.0.a.1
$0$
$1$
220.b2
\(\Q\)
\(\Q\)
$\tfrac{1048576}{605} = 2^{20} \cdot 5^{-1} \cdot 11^{-2}$
$13.863$
10.6.0.a.1
$0$
$1$
1760.b2
\(\Q\)
\(\Q\)
$\tfrac{1906624}{605} = 2^{6} \cdot 5^{-1} \cdot 11^{-2} \cdot 31^{3}$
$14.461$
10.6.0.a.1
$0$
$1$
8200.d1
\(\Q\)
\(\Q\)
$\tfrac{2963088}{1681} = 2^{4} \cdot 3^{3} \cdot 19^{3} \cdot 41^{-2}$
$14.902$
10.6.0.a.1
$0$
$1$
5800.g1
\(\Q\)
\(\Q\)
$\tfrac{3217428}{841} = 2^{2} \cdot 3^{3} \cdot 29^{-2} \cdot 31^{3}$
$14.984$
10.6.0.a.1
$0$
$1$
380.a2
\(\Q\)
\(\Q\)
$\tfrac{3538944}{1805} = 2^{17} \cdot 3^{3} \cdot 5^{-1} \cdot 19^{-2}$
$15.079$
10.6.0.a.1
$0$
$1$
760.d1
\(\Q\)
\(\Q\)
$\tfrac{3631696}{1805} = 2^{4} \cdot 5^{-1} \cdot 19^{-2} \cdot 61^{3}$
$15.105$
10.6.0.a.1
$0$
$1$
440.b1
\(\Q\)
\(\Q\)
$\tfrac{5256144}{605} = 2^{4} \cdot 3^{3} \cdot 5^{-1} \cdot 11^{-2} \cdot 23^{3}$
$15.475$
10.6.0.a.1
$0$
$1$
26400.d2
\(\Q\)
\(\Q\)
$\tfrac{6644672}{1089} = 2^{6} \cdot 3^{-2} \cdot 11^{-2} \cdot 47^{3}$
$15.709$
10.6.0.a.1
$0$
$1$
1475.a1
\(\Q\)
\(\Q\)
$\tfrac{7645373}{3481} = 59^{-2} \cdot 197^{3}$
$15.850$
10.6.0.a.1
$0$
$1$
3100.a2
\(\Q\)
\(\Q\)
$\tfrac{8388608}{961} = 2^{23} \cdot 31^{-2}$
$15.942$
10.6.0.a.1
$0$
$1$
4960.d2
\(\Q\)
\(\Q\)
$\tfrac{8489664}{4805} = 2^{6} \cdot 3^{3} \cdot 5^{-1} \cdot 17^{3} \cdot 31^{-2}$
$15.954$
10.6.0.a.1
$0$
$1$
1160.d2
\(\Q\)
\(\Q\)
$\tfrac{10061824}{4205} = 2^{11} \cdot 5^{-1} \cdot 17^{3} \cdot 29^{-2}$
$16.124$
10.6.0.a.1
$0$
$1$
1320.c1
\(\Q\)
\(\Q\)
$\tfrac{10061824}{5445} = 2^{11} \cdot 3^{-2} \cdot 5^{-1} \cdot 11^{-2} \cdot 17^{3}$
$16.124$
10.6.0.a.1
$0$
$1$
475.a1
\(\Q\)
\(\Q\)
$\tfrac{13312053}{361} = 3^{3} \cdot 19^{-2} \cdot 79^{3}$
$16.404$
10.6.0.a.1
$0$
$1$
15400.c1
\(\Q\)
\(\Q\)
$\tfrac{14047232}{5929} = 2^{11} \cdot 7^{-2} \cdot 11^{-2} \cdot 19^{3}$
$16.458$
10.6.0.a.1
$0$
$1$
17400.f2
\(\Q\)
\(\Q\)
$\tfrac{14047232}{7569} = 2^{11} \cdot 3^{-2} \cdot 19^{3} \cdot 29^{-2}$
$16.458$
10.6.0.a.1
$0$
$1$
21800.a1
\(\Q\)
\(\Q\)
$\tfrac{20710868}{11881} = 2^{2} \cdot 109^{-2} \cdot 173^{3}$
$16.846$
10.6.0.a.1
$0$
$1$
1160.a1
\(\Q\)
\(\Q\)
$\tfrac{20720464}{4205} = 2^{4} \cdot 5^{-1} \cdot 29^{-2} \cdot 109^{3}$
$16.847$
10.6.0.a.1
$0$
$1$
18600.g1
\(\Q\)
\(\Q\)
$\tfrac{23086352}{8649} = 2^{4} \cdot 3^{-2} \cdot 31^{-2} \cdot 113^{3}$
$16.955$
10.6.0.a.1
$0$
$1$
120.b5
\(\Q\)
\(\Q\)
$\tfrac{24918016}{45} = 2^{11} \cdot 3^{-2} \cdot 5^{-1} \cdot 23^{3}$
$17.031$
10.6.0.a.1
$0$
$1$
1640.f2
\(\Q\)
\(\Q\)
$\tfrac{24918016}{8405} = 2^{11} \cdot 5^{-1} \cdot 23^{3} \cdot 41^{-2}$
$17.031$
10.6.0.a.1
$0$
$1$
700.f1
\(\Q\)
\(\Q\)
$\tfrac{28311552}{49} = 2^{20} \cdot 3^{3} \cdot 7^{-2}$
$17.159$
10.6.0.a.1
$0$
$1$
9440.b2
\(\Q\)
\(\Q\)
$\tfrac{31554496}{17405} = 2^{6} \cdot 5^{-1} \cdot 59^{-2} \cdot 79^{3}$
$17.267$
10.6.0.a.1
$0$
$1$
1525.a1
\(\Q\)
\(\Q\)
$\tfrac{31855013}{3721} = 61^{-2} \cdot 317^{3}$
$17.277$
10.6.0.a.1
$0$
$1$
63200.d2
\(\Q\)
\(\Q\)
$\tfrac{36594368}{6241} = 2^{6} \cdot 79^{-2} \cdot 83^{3}$
$17.415$
10.6.0.a.1
$0$
$1$
2200.c1
\(\Q\)
\(\Q\)
$\tfrac{41141648}{14641} = 2^{4} \cdot 11^{-4} \cdot 137^{3}$
$17.533$
10.6.0.a.1
$0$
$1$
2440.b1
\(\Q\)
\(\Q\)
$\tfrac{44851536}{18605} = 2^{4} \cdot 3^{3} \cdot 5^{-1} \cdot 47^{3} \cdot 61^{-2}$
$17.619$
10.6.0.a.1
$0$
$1$
3160.b1
\(\Q\)
\(\Q\)
$\tfrac{55990084}{31205} = 2^{2} \cdot 5^{-1} \cdot 79^{-2} \cdot 241^{3}$
$17.841$
10.6.0.a.1
$0$
$1$
11400.d1
\(\Q\)
\(\Q\)
$\tfrac{61011968}{29241} = 2^{11} \cdot 3^{-4} \cdot 19^{-2} \cdot 31^{3}$
$17.927$
10.6.0.a.1
$0$
$1$
12200.c2
\(\Q\)
\(\Q\)
$\tfrac{61011968}{3721} = 2^{11} \cdot 31^{3} \cdot 61^{-2}$
$17.927$
10.6.0.a.1
$0$
$1$
2840.b1
\(\Q\)
\(\Q\)
$\tfrac{61752996}{25205} = 2^{2} \cdot 3^{3} \cdot 5^{-1} \cdot 71^{-2} \cdot 83^{3}$
$17.939$
10.6.0.a.1
$0$
$1$
1140.c2
\(\Q\)
\(\Q\)
$\tfrac{67108864}{16245} = 2^{26} \cdot 3^{-2} \cdot 5^{-1} \cdot 19^{-2}$
$18.022$
10.6.0.a.1
$0$
$1$
170400.h2
\(\Q\)
\(\Q\)
$\tfrac{78402752}{45369} = 2^{6} \cdot 3^{-2} \cdot 71^{-2} \cdot 107^{3}$
$18.177$
10.6.0.a.1
$0$
$1$
13300.b2
\(\Q\)
\(\Q\)
$\tfrac{80494592}{17689} = 2^{14} \cdot 7^{-2} \cdot 17^{3} \cdot 19^{-2}$
$18.204$
10.6.0.a.1
$0$
$1$
17700.g2
\(\Q\)
\(\Q\)
$\tfrac{80494592}{31329} = 2^{14} \cdot 3^{-2} \cdot 17^{3} \cdot 59^{-2}$
$18.204$
10.6.0.a.1
$0$
$1$
4525.d1
\(\Q\)
\(\Q\)
$\tfrac{83453453}{32761} = 19^{3} \cdot 23^{3} \cdot 181^{-2}$
$18.240$
10.6.0.a.1
$0$
$1$
4040.d1
\(\Q\)
\(\Q\)
$\tfrac{94875856}{51005} = 2^{4} \cdot 5^{-1} \cdot 101^{-2} \cdot 181^{3}$
$18.368$
10.6.0.a.1
$0$
$1$
1240.f1
\(\Q\)
\(\Q\)
$\tfrac{96550276}{4805} = 2^{2} \cdot 5^{-1} \cdot 17^{6} \cdot 31^{-2}$
$18.386$
10.6.0.a.1
$0$
$1$
45800.b1
\(\Q\)
\(\Q\)
$\tfrac{100615028}{52441} = 2^{2} \cdot 229^{-2} \cdot 293^{3}$
$18.427$
Next
To download results,
determine the number of results
.
Download
displayed columns
for
results
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV