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prime
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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
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ℤ/2ℤ⊕ℤ/8ℤ
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✓ LMFDB curve label
Cremona curve label
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class size
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discriminant
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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
24646.a1
24646b1
24646.a
24646b
$1$
$1$
\( 2 \cdot 12323 \)
\( 2^{2} \cdot 12323 \)
$3$
$\mathsf{trivial}$
$\Q$
$\mathrm{SU}(2)$
✓
$49292$
$2$
$0$
$0.661670817$
$1$
$34$
$5392$
$-0.386887$
$217081801/49292$
$[1, 0, 1, -13, 12]$
\(y^2+xy+y=x^3-13x+12\)
49292.2.0.?
$[(1, 0), (3, 0), (0, 3)]$
197168.d1
197168d1
197168.d
197168d
$1$
$1$
\( 2^{4} \cdot 12323 \)
\( 2^{14} \cdot 12323 \)
$1$
$\mathsf{trivial}$
$\Q$
$\mathrm{SU}(2)$
$49292$
$2$
$0$
$3.479665955$
$1$
$2$
$129408$
$0.306260$
$217081801/49292$
$[0, -1, 0, -200, -784]$
\(y^2=x^3-x^2-200x-784\)
49292.2.0.?
$[(25, 96)]$
221814.o1
221814f1
221814.o
221814f
$1$
$1$
\( 2 \cdot 3^{2} \cdot 12323 \)
\( 2^{2} \cdot 3^{6} \cdot 12323 \)
$0$
$\mathsf{trivial}$
$\Q$
$\mathrm{SU}(2)$
$49292$
$2$
$0$
$1$
$1$
$0$
$129408$
$0.162419$
$217081801/49292$
$[1, -1, 1, -113, -331]$
\(y^2+xy+y=x^3-x^2-113x-331\)
49292.2.0.?
$[]$
Download
displayed columns
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results
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Pari/GP
SageMath
Magma
Oscar
CSV