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
3249.1-b2 3249.1-b $2$
$5$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
3249.1
\( 3^{2} \cdot 19^{2} \)
\( 3^{20} \cdot 19^{2} \)
$1.34929$
$(3), (19)$
$1$
$\Z/5\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$5$
5B.1.1 $1$
\( 2 \cdot 5 \)
$1.131424581$
$1.358829150$
1.229930161
\( \frac{841232384}{1121931} \)
\( \bigl[0\) , \( -1\) , \( i\) , \( 20\) , \( 32\bigr] \) ${y}^2+i{y}={x}^{3}-{x}^{2}+20{x}+32$
29241.1-c2 29241.1-c $2$
$5$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
29241.1
\( 3^{4} \cdot 19^{2} \)
\( 3^{32} \cdot 19^{2} \)
$2.33704$
$(3), (19)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$5$
5B.4.1 $1$
\( 2^{2} \)
$1$
$0.452943050$
1.811772200
\( \frac{841232384}{1121931} \)
\( \bigl[0\) , \( 0\) , \( i\) , \( 177\) , \( -1035\bigr] \) ${y}^2+i{y}={x}^{3}+177{x}-1035$
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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.
