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
1250.1-a3
1250.1-a
$4$
$15$
\(\Q(\sqrt{2}) \)
$2$
$[2, 0]$
1250.1
\( 2 \cdot 5^{4} \)
\( 2^{2} \cdot 5^{8} \)
$1.50283$
$(a), (5)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3, 5$
3B.1.1 , 5B.1.3
$1$
\( 2 \cdot 3 \)
$1$
$4.577438616$
1.078912628
\( -\frac{25}{2} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -1\) , \( -2\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}-2$
1250.1-b3
1250.1-b
$4$
$15$
\(\Q(\sqrt{2}) \)
$2$
$[2, 0]$
1250.1
\( 2 \cdot 5^{4} \)
\( 2^{2} \cdot 5^{20} \)
$1.50283$
$(a), (5)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3, 5$
3B , 5B.1.2
$1$
\( 2 \)
$2.287593322$
$0.915487723$
2.961735990
\( -\frac{25}{2} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -13\) , \( -219\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-13{x}-219$
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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.