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
42250.6-a1 42250.6-a $2$
$3$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
42250.6
\( 2 \cdot 5^{3} \cdot 13^{2} \)
\( 2^{9} \cdot 5^{13} \cdot 13^{8} \)
$2.56227$
$(a+1), (-a-2), (2a+1), (2a+3)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ $3$
3B.1.2 $1$
\( 3 \)
$1$
$0.242784600$
0.728353800
\( \frac{156220918587}{62500000} a + \frac{333026777209}{62500000} \)
\( \bigl[1\) , \( i - 1\) , \( i\) , \( -383 i + 992\) , \( -9854 i - 5306\bigr] \) ${y}^2+{x}{y}+i{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-383i+992\right){x}-9854i-5306$
42250.6-i1 42250.6-i $2$
$3$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
42250.6
\( 2 \cdot 5^{3} \cdot 13^{2} \)
\( 2^{9} \cdot 5^{19} \cdot 13^{2} \)
$2.56227$
$(a+1), (-a-2), (2a+1), (2a+3)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ $3$
3B $1$
\( 3^{2} \)
$1$
$0.391478404$
3.523305643
\( \frac{156220918587}{62500000} a + \frac{333026777209}{62500000} \)
\( \bigl[1\) , \( i\) , \( i\) , \( 236 i - 334\) , \( 1954 i - 1939\bigr] \) ${y}^2+{x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(236i-334\right){x}+1954i-1939$
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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.
