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Elliptic curves over
Q
\Q
Q
of conductor 36461
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Q
\Q
Q
Elliptic curves over
Q
(
α
)
\Q(\alpha)
Q
(
α
)
Genus 2 curves over
Q
\Q
Q
Higher genus families
Abelian varieties over
F
q
\F_{q}
F
q
Fields
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p
p
p
-adic fields
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Conductor
prime
p-power
sq-free
divides
multiple of
Discriminant
j-invariant
Rank
Bad
p
\ p
p
include
exclude
exactly
subset
Curves per isogeny class
Complex multiplication
Torsion
all
one
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 -28
CM discriminant -43
CM discriminant -67
CM discriminant -163
trivial
order 4
order 8
order 12
ℤ/2ℤ
ℤ/3ℤ
ℤ/4ℤ
ℤ/5ℤ
ℤ/6ℤ
ℤ/7ℤ
ℤ/8ℤ
ℤ/9ℤ
ℤ/10ℤ
ℤ/12ℤ
ℤ/2ℤ⊕ℤ/2ℤ
ℤ/2ℤ⊕ℤ/4ℤ
ℤ/2ℤ⊕ℤ/6ℤ
ℤ/2ℤ⊕ℤ/8ℤ
Isogeny class degree
Cyclic isogeny degree
Isogeny class size
Integral points
Analytic order of Ш
p
p\
p
div
\
|Ш|
include
exclude
exactly
subset
Regulator
Reduction
Faltings height
semistable
not semistable
potentially good
not potentially good
Galois image
Adelic level
Adelic index
Adelic genus
Nonmax
ℓ
\ \ell
ℓ
include
exclude
exactly
subset
a
b
c
abc
a
b
c
quality
Szpiro ratio
Sort order
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Search again
Random curve
▲ conductor
rank
torsion
CM discriminant
regulator
analytic Ш
isogeny class size
isogeny class degree
integral points
modular degree
adelic level
adelic index
adelic genus
Faltings height
a
b
c
abc
a
b
c
quality
Szpiro ratio
columns to display
✓ LMFDB curve label
Cremona curve label
✓ LMFDB class label
Cremona class label
class size
class degree
✓ conductor
discriminant
✓ rank
✓ torsion
Qbar-end algebra
✓ CM discriminant
Sato-Tate group
semistable
potentially good
nonmaximal primes
ℓ-adic images
mod-ℓ images
adelic level
adelic index
adelic genus
regulator
analytic Ш
ш primes
integral points
modular degree
Faltings height
j-invariant
abc quality
szpiro ratio
Weierstrass coeffs
✓ Weierstrass equation
mod-m images
mw-generators
show all
Results (unique match)
Download
displayed columns
for
results
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV
Label
Cremona label
Class
Cremona class
Class size
Class degree
Conductor
Discriminant
Rank
Torsion
End
0
(
E
Q
‾
)
\textrm{End}^0(E_{\overline\Q})
End
0
(
E
Q
)
CM
Sato-Tate
Semistable
Potentially good
Nonmax
ℓ
\ell
ℓ
ℓ
\ell
ℓ
-adic images
mod-
ℓ
\ell
ℓ
images
Adelic level
Adelic index
Adelic genus
Regulator
Ш
an
Ш_{\textrm{an}}
Ш
an
Ш primes
Integral points
Modular degree
Faltings height
j-invariant
a
b
c
abc
a
b
c
quality
Szpiro ratio
Weierstrass coefficients
Weierstrass equation
mod-
m
m
m
images
MW-generators
36461.a1
36461a1
36461.a
36461a
1
1
1
1
1
1
1
9
2
⋅
101
19^{2} \cdot 101
1
9
2
⋅
1
0
1
1
9
6
⋅
101
19^{6} \cdot 101
1
9
6
⋅
1
0
1
0
0
0
t
r
i
v
i
a
l
\mathsf{trivial}
t
r
i
v
i
a
l
Q
\Q
Q
S
U
(
2
)
\mathrm{SU}(2)
S
U
(
2
)
202
202
2
0
2
2
2
2
0
0
0
1
1
1
1
1
1
0
0
0
13500
13500
1
3
5
0
0
0.555857
0.555857
0
.
5
5
5
8
5
7
262144
/
101
262144/101
2
6
2
1
4
4
/
1
0
1
0.83030
0.83030
0
.
8
3
0
3
0
2.86970
2.86970
2
.
8
6
9
7
0
[
0
,
−
1
,
1
,
−
481
,
2510
]
[0, -1, 1, -481, 2510]
[
0
,
−
1
,
1
,
−
4
8
1
,
2
5
1
0
]
y
2
+
y
=
x
3
−
x
2
−
481
x
+
2510
y^2+y=x^3-x^2-481x+2510
y
2
+
y
=
x
3
−
x
2
−
4
8
1
x
+
2
5
1
0
202.2.0.?
[
]
[]
[
]
Download
displayed columns
for
results
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV