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Elliptic curves over $\Q$ of conductor 1126
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Conductor
prime
p-power
sq-free
divides
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CM field Q(sqrt(-1))
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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
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ℤ/10ℤ
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ℤ/2ℤ⊕ℤ/2ℤ
ℤ/2ℤ⊕ℤ/4ℤ
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ℤ/2ℤ⊕ℤ/8ℤ
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Label
Cremona label
Class
Cremona class
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Conductor
Discriminant
Rank
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$\textrm{End}^0(E_{\overline\Q})$
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j-invariant
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Weierstrass coefficients
Weierstrass equation
mod-$m$ images
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1126.a1
1126a1
1126.a
1126a
$1$
$1$
\( 2 \cdot 563 \)
\( - 2^{4} \cdot 563 \)
$2$
$\mathsf{trivial}$
$\Q$
$\mathrm{SU}(2)$
✓
$1126$
$2$
$0$
$0.229392466$
$1$
$18$
$176$
$-0.560435$
$658503/9008$
$0.80611$
$2.35075$
$[1, -1, 0, 2, 4]$
\(y^2+xy=x^3-x^2+2x+4\)
1126.2.0.?
$[(0, 2), (4, 6)]$
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