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Elliptic curves over $\Q$ of conductor 5692
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Conductor
prime
p-power
sq-free
divides
multiple of
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j-invariant
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one
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CM field Q(sqrt(-1))
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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
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ℤ/2ℤ⊕ℤ/2ℤ
ℤ/2ℤ⊕ℤ/4ℤ
ℤ/2ℤ⊕ℤ/6ℤ
ℤ/2ℤ⊕ℤ/8ℤ
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Label
Cremona label
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Conductor
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$\textrm{End}^0(E_{\overline\Q})$
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Ш primes
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j-invariant
$abc$ quality
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Weierstrass coefficients
Weierstrass equation
mod-$m$ images
MW-generators
5692.a1
5692a1
5692.a
5692a
$1$
$1$
\( 2^{2} \cdot 1423 \)
\( - 2^{4} \cdot 1423 \)
$2$
$\mathsf{trivial}$
$\Q$
$\mathrm{SU}(2)$
$2846$
$2$
$0$
$0.315972446$
$1$
$14$
$516$
$-0.389569$
$-42592000/1423$
$0.68030$
$2.35877$
$[0, 1, 0, -18, 25]$
\(y^2=x^3+x^2-18x+25\)
2846.2.0.?
$[(2, 1), (0, 5)]$
5692.b1
5692b1
5692.b
5692b
$1$
$1$
\( 2^{2} \cdot 1423 \)
\( - 2^{4} \cdot 1423 \)
$1$
$\mathsf{trivial}$
$\Q$
$\mathrm{SU}(2)$
$2846$
$2$
$0$
$0.766666824$
$1$
$2$
$444$
$-0.477479$
$1257728/1423$
$0.62815$
$1.94492$
$[0, -1, 0, 6, -7]$
\(y^2=x^3-x^2+6x-7\)
2846.2.0.?
$[(2, 3)]$
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