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-c1 3249.1-c $4$
$4$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
3249.1
\( 3^{2} \cdot 19^{2} \)
\( 3^{2} \cdot 19^{8} \)
$1.34929$
$(3), (19)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2B $1$
\( 2^{2} \)
$2.601893913$
$1.632344499$
2.123593608
\( \frac{67419143}{390963} \)
\( \bigl[i\) , \( 0\) , \( i\) , \( 9\) , \( -29\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+9{x}-29$
29241.1-a1 29241.1-a $4$
$4$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
29241.1
\( 3^{4} \cdot 19^{2} \)
\( 3^{14} \cdot 19^{8} \)
$2.33704$
$(3), (19)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $4$
\( 2^{4} \)
$1$
$0.544114833$
2.176459332
\( \frac{67419143}{390963} \)
\( \bigl[i\) , \( 1\) , \( i\) , \( 77\) , \( 790\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}+77{x}+790$
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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.
