Label
Class
Class size
Class degree
Base field
Field degree
Field signature
Conductor
Conductor norm
Discriminant norm
Root analytic conductor
Bad primes
Rank
Torsion
CM
CM
Sato-Tate
$\Q$-curve
Base change
Semistable
Potentially good
Nonmax $\ell$
mod-$\ell$ images
$Ш_{\textrm{an}}$
Tamagawa
Regulator
Period
Leading coeff
j-invariant
Weierstrass coefficients
Weierstrass equation
1600.2-c1
1600.2-c
$4$
$4$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
1600.2
\( 2^{6} \cdot 5^{2} \)
\( 2^{20} \cdot 5^{8} \)
$1.87441$
$(-a-1), (a-2), (2)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{5} \)
$1$
$1.498444490$
1.807192052
\( \frac{237276}{625} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 13\) , \( -34\bigr] \)
${y}^2={x}^{3}+13{x}-34$
6400.2-k1
6400.2-k
$4$
$4$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
6400.2
\( 2^{8} \cdot 5^{2} \)
\( 2^{20} \cdot 5^{8} \)
$2.65082$
$(-a-1), (a-2), (2)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{6} \)
$0.544509781$
$1.498444490$
3.936134998
\( \frac{237276}{625} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 13\) , \( 34\bigr] \)
${y}^2={x}^{3}+13{x}+34$
8000.2-b1
8000.2-b
$4$
$4$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
8000.2
\( 2^{6} \cdot 5^{3} \)
\( 2^{20} \cdot 5^{14} \)
$2.80290$
$(-a-1), (a-2), (2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2^{4} \)
$0.950363780$
$0.670124748$
3.072339281
\( \frac{237276}{625} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 39 a - 26\) , \( -136 a + 374\bigr] \)
${y}^2={x}^{3}+\left(39a-26\right){x}-136a+374$
8000.3-c1
8000.3-c
$4$
$4$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
8000.3
\( 2^{6} \cdot 5^{3} \)
\( 2^{20} \cdot 5^{14} \)
$2.80290$
$(-a-1), (a-2), (2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2^{4} \)
$0.950363780$
$0.670124748$
3.072339281
\( \frac{237276}{625} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -39 a + 13\) , \( 136 a + 238\bigr] \)
${y}^2={x}^{3}+\left(-39a+13\right){x}+136a+238$
32000.2-s1
32000.2-s
$4$
$4$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
32000.2
\( 2^{8} \cdot 5^{3} \)
\( 2^{20} \cdot 5^{14} \)
$3.96390$
$(-a-1), (a-2), (2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2^{5} \)
$0.648538098$
$0.670124748$
4.193192370
\( \frac{237276}{625} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 39 a - 26\) , \( 136 a - 374\bigr] \)
${y}^2={x}^{3}+\left(39a-26\right){x}+136a-374$
32000.3-t1
32000.3-t
$4$
$4$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
32000.3
\( 2^{8} \cdot 5^{3} \)
\( 2^{20} \cdot 5^{14} \)
$3.96390$
$(-a-1), (a-2), (2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2^{5} \)
$0.648538098$
$0.670124748$
4.193192370
\( \frac{237276}{625} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -39 a + 13\) , \( -136 a - 238\bigr] \)
${y}^2={x}^{3}+\left(-39a+13\right){x}-136a-238$
40000.3-h1
40000.3-h
$4$
$4$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
40000.3
\( 2^{6} \cdot 5^{4} \)
\( 2^{20} \cdot 5^{20} \)
$4.19131$
$(-a-1), (a-2), (2)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{5} \)
$1.611369997$
$0.299688898$
9.318576171
\( \frac{237276}{625} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 325\) , \( -4250\bigr] \)
${y}^2={x}^{3}+325{x}-4250$
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*The rank, regulator and analytic order of Ш are
not known for all curves in the database; curves for which these are
unknown will not appear in searches specifying one of these
quantities.