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
3249.5-b2 3249.5-b $2$
$5$
\(\Q(\sqrt{-2}) \) $2$
$[0, 1]$
3249.5
\( 3^{2} \cdot 19^{2} \)
\( 3^{20} \cdot 19^{2} \)
$1.90819$
$(-a-1), (a-1), (-3a+1), (3a+1)$
$1$
$\Z/5\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$5$
5B.1.1 $1$
\( 2^{2} \cdot 5^{2} \)
$0.282379912$
$1.358829150$
2.170569239
\( \frac{841232384}{1121931} \)
\( \bigl[0\) , \( 1\) , \( 1\) , \( 20\) , \( -32\bigr] \) ${y}^2+{y}={x}^{3}+{x}^{2}+20{x}-32$
29241.8-e2 29241.8-e $2$
$5$
\(\Q(\sqrt{-2}) \) $2$
$[0, 1]$
29241.8
\( 3^{4} \cdot 19^{2} \)
\( 3^{32} \cdot 19^{2} \)
$3.30508$
$(-a-1), (a-1), (-3a+1), (3a+1)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$5$
5B.4.1 $1$
\( 2^{2} \)
$3.960626542$
$0.452943050$
10.14804730
\( \frac{841232384}{1121931} \)
\( \bigl[0\) , \( 0\) , \( 1\) , \( 177\) , \( 1035\bigr] \) ${y}^2+{y}={x}^{3}+177{x}+1035$
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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.
