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
1600.4-a1
1600.4-a
$4$
$4$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
1600.4
\( 2^{6} \cdot 5^{2} \)
\( 2^{20} \cdot 5^{8} \)
$1.49526$
$(a), (-a+1), (5)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$1$
$1.498444490$
1.132717564
\( \frac{237276}{625} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 13\) , \( -34\bigr] \)
${y}^2={x}^{3}+13{x}-34$
1600.4-a2
1600.4-a
$4$
$4$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
1600.4
\( 2^{6} \cdot 5^{2} \)
\( 2^{16} \cdot 5^{4} \)
$1.49526$
$(a), (-a+1), (5)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{3} \)
$1$
$2.996888981$
1.132717564
\( \frac{148176}{25} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -7\) , \( -6\bigr] \)
${y}^2={x}^{3}-7{x}-6$
1600.4-a3
1600.4-a
$4$
$4$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
1600.4
\( 2^{6} \cdot 5^{2} \)
\( 2^{8} \cdot 5^{2} \)
$1.49526$
$(a), (-a+1), (5)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$1$
$5.993777963$
1.132717564
\( \frac{55296}{5} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -2\) , \( 1\bigr] \)
${y}^2={x}^{3}-2{x}+1$
1600.4-a4
1600.4-a
$4$
$4$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
1600.4
\( 2^{6} \cdot 5^{2} \)
\( 2^{20} \cdot 5^{2} \)
$1.49526$
$(a), (-a+1), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$1$
$1.498444490$
1.132717564
\( \frac{132304644}{5} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -107\) , \( -426\bigr] \)
${y}^2={x}^{3}-107{x}-426$
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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.