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prime
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CM discriminant -3
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CM discriminant -67
CM discriminant -163
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✓ LMFDB curve label
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Label
Cremona label
Class
Cremona class
Class size
Class degree
Conductor
Discriminant
Rank
Torsion
$\textrm{End}^0(E_{\overline\Q})$
CM
Sato-Tate
Semistable
Potentially good
Nonmax $\ell$
$\ell$-adic images
mod-$\ell$ images
Adelic level
Adelic index
Adelic genus
Regulator
$Ш_{\textrm{an}}$
Ш primes
Integral points
Modular degree
Faltings height
j-invariant
Weierstrass coefficients
Weierstrass equation
mod-$m$ images
MW-generators
40616.b1
40616a1
40616.b
40616a
$1$
$1$
\( 2^{3} \cdot 5077 \)
\( 2^{8} \cdot 5077 \)
$2$
$\mathsf{trivial}$
$\Q$
$\mathrm{SU}(2)$
$10154$
$2$
$0$
$1.157792962$
$1$
$12$
$4096$
$-0.050033$
$170368000/5077$
$[0, -1, 0, -73, -211]$
\(y^2=x^3-x^2-73x-211\)
10154.2.0.?
$[(-5, 2), (-4, 1)]$
81232.c1
81232a1
81232.c
81232a
$1$
$1$
\( 2^{4} \cdot 5077 \)
\( 2^{8} \cdot 5077 \)
$2$
$\mathsf{trivial}$
$\Q$
$\mathrm{SU}(2)$
$10154$
$2$
$0$
$4.580467182$
$1$
$4$
$8192$
$-0.050033$
$170368000/5077$
$[0, 1, 0, -73, 211]$
\(y^2=x^3+x^2-73x+211\)
10154.2.0.?
$[(6, 5), (21/2, 1/2)]$
324928.b1
324928b1
324928.b
324928b
$1$
$1$
\( 2^{6} \cdot 5077 \)
\( 2^{14} \cdot 5077 \)
$2$
$\mathsf{trivial}$
$\Q$
$\mathrm{SU}(2)$
$10154$
$2$
$0$
$6.693939582$
$1$
$4$
$65536$
$0.296541$
$170368000/5077$
$[0, -1, 0, -293, 1981]$
\(y^2=x^3-x^2-293x+1981\)
10154.2.0.?
$[(12, 7), (20, 61)]$
324928.e1
324928e1
324928.e
324928e
$1$
$1$
\( 2^{6} \cdot 5077 \)
\( 2^{14} \cdot 5077 \)
$1$
$\mathsf{trivial}$
$\Q$
$\mathrm{SU}(2)$
$10154$
$2$
$0$
$2.170048477$
$4$
$2$
$2$
$65536$
$0.296541$
$170368000/5077$
$[0, 1, 0, -293, -1981]$
\(y^2=x^3+x^2-293x-1981\)
10154.2.0.?
$[(-10, 7)]$
365544.b1
365544b1
365544.b
365544b
$1$
$1$
\( 2^{3} \cdot 3^{2} \cdot 5077 \)
\( 2^{8} \cdot 3^{6} \cdot 5077 \)
$2$
$\mathsf{trivial}$
$\Q$
$\mathrm{SU}(2)$
$10154$
$2$
$0$
$4.997549384$
$1$
$6$
$122880$
$0.499273$
$170368000/5077$
$[0, 0, 0, -660, 6356]$
\(y^2=x^3-660x+6356\)
10154.2.0.?
$[(20, 34), (17, 7)]$
Download
displayed columns
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results
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV