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
1875.1-a1
1875.1-a
$2$
$5$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
1875.1
\( 3 \cdot 5^{4} \)
\( 3^{2} \cdot 5^{8} \)
$2.03695$
$(a), (5)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$5$
5B.1.3
$1$
\( 2 \cdot 3 \)
$1$
$1.967118283$
3.407148812
\( -\frac{102400}{3} \)
\( \bigl[0\) , \( -1\) , \( 1\) , \( -8\) , \( -7\bigr] \)
${y}^2+{y}={x}^{3}-{x}^{2}-8{x}-7$
1875.1-b1
1875.1-b
$2$
$5$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
1875.1
\( 3 \cdot 5^{4} \)
\( 3^{2} \cdot 5^{20} \)
$2.03695$
$(a), (5)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$5$
5B.4.2
$1$
\( 2 \)
$1$
$4.360907218$
2.517770956
\( -\frac{102400}{3} \)
\( \bigl[0\) , \( -1\) , \( a\) , \( -208\) , \( 1255\bigr] \)
${y}^2+a{y}={x}^{3}-{x}^{2}-208{x}+1255$
1875.1-e1
1875.1-e
$2$
$5$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
1875.1
\( 3 \cdot 5^{4} \)
\( 3^{2} \cdot 5^{20} \)
$2.03695$
$(a), (5)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$5$
5B.1.2
$1$
\( 2 \)
$4.591654055$
$0.393423656$
2.085926488
\( -\frac{102400}{3} \)
\( \bigl[0\) , \( 1\) , \( 1\) , \( -208\) , \( -1256\bigr] \)
${y}^2+{y}={x}^{3}+{x}^{2}-208{x}-1256$
1875.1-f1
1875.1-f
$2$
$5$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
1875.1
\( 3 \cdot 5^{4} \)
\( 3^{2} \cdot 5^{8} \)
$2.03695$
$(a), (5)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$5$
5B.4.2
$1$
\( 2 \cdot 3 \)
$0.025588090$
$21.80453609$
1.932748529
\( -\frac{102400}{3} \)
\( \bigl[0\) , \( 1\) , \( a\) , \( -8\) , \( 6\bigr] \)
${y}^2+a{y}={x}^{3}+{x}^{2}-8{x}+6$
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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.