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
1600.1-a1
1600.1-a
$4$
$4$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
1600.1
\( 2^{6} \cdot 5^{2} \)
\( 2^{20} \cdot 5^{8} \)
$0.97888$
$(2), (5)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{3} \)
$0.683761292$
$1.498444490$
1.183081163
\( \frac{237276}{625} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 13\) , \( -34\bigr] \)
${y}^2={x}^{3}+13{x}-34$
6400.1-g1
6400.1-g
$4$
$4$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
6400.1
\( 2^{8} \cdot 5^{2} \)
\( 2^{20} \cdot 5^{8} \)
$1.38434$
$(2), (5)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$1$
$1.498444490$
1.730254660
\( \frac{237276}{625} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 13\) , \( 34\bigr] \)
${y}^2={x}^{3}+13{x}+34$
40000.1-c1
40000.1-c
$4$
$4$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
40000.1
\( 2^{6} \cdot 5^{4} \)
\( 2^{20} \cdot 5^{20} \)
$2.18884$
$(2), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$4$
\( 2^{3} \)
$1$
$0.299688898$
2.768407456
\( \frac{237276}{625} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 325\) , \( -4250\bigr] \)
${y}^2={x}^{3}+325{x}-4250$
57600.1-b1
57600.1-b
$4$
$4$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
57600.1
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{20} \cdot 3^{6} \cdot 5^{8} \)
$2.39775$
$(-2a+1), (2), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2^{3} \)
$1$
$0.865127330$
1.997925987
\( \frac{237276}{625} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 39 a\) , \( 204 a - 102\bigr] \)
${y}^2={x}^{3}+39a{x}+204a-102$
57600.1-q1
57600.1-q
$4$
$4$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
57600.1
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{20} \cdot 3^{6} \cdot 5^{8} \)
$2.39775$
$(-2a+1), (2), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2^{3} \)
$1$
$0.865127330$
1.997925987
\( \frac{237276}{625} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -39\) , \( -204 a + 102\bigr] \)
${y}^2={x}^{3}-39{x}-204a+102$
102400.1-g1
102400.1-g
$4$
$4$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
102400.1
\( 2^{12} \cdot 5^{2} \)
\( 2^{32} \cdot 5^{8} \)
$2.76869$
$(2), (5)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$0.361484422$
$0.749222245$
5.003680854
\( \frac{237276}{625} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -52 a\) , \( -272\bigr] \)
${y}^2={x}^{3}-52a{x}-272$
102400.1-n1
102400.1-n
$4$
$4$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
102400.1
\( 2^{12} \cdot 5^{2} \)
\( 2^{32} \cdot 5^{8} \)
$2.76869$
$(2), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$1$
$0.749222245$
3.460509320
\( \frac{237276}{625} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 52\) , \( 272\bigr] \)
${y}^2={x}^{3}+52{x}+272$
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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.