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
3025.2-a3 3025.2-a $4$
$4$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
3025.2
\( 5^{2} \cdot 11^{2} \)
\( 5^{2} \cdot 11^{8} \)
$1.32541$
$(-a-2), (2a+1), (11)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2B $4$
\( 2^{2} \)
$1$
$1.770622110$
1.770622110
\( \frac{2749884201}{73205} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -29\) , \( -52\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-29{x}-52$
75625.3-a3 75625.3-a $4$
$4$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
75625.3
\( 5^{4} \cdot 11^{2} \)
\( 5^{14} \cdot 11^{8} \)
$2.96370$
$(-a-2), (2a+1), (11)$
$2$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $1$
\( 2^{6} \)
$0.685682481$
$0.354124422$
3.885070603
\( \frac{2749884201}{73205} \)
\( \bigl[i\) , \( 1\) , \( i\) , \( -729\) , \( 7228\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-729{x}+7228$
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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.
