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
15250.5-e1 15250.5-e $2$
$5$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
15250.5
\( 2 \cdot 5^{3} \cdot 61 \)
\( 2 \cdot 5^{11} \cdot 61^{5} \)
$1.98603$
$(a+1), (-a-2), (2a+1), (-6a-5)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ $5$
5B.1.2 $1$
\( 5 \)
$1$
$0.523238224$
2.616191120
\( -\frac{14362283266683}{8445963010} a - \frac{4028212136069}{8445963010} \)
\( \bigl[1\) , \( 0\) , \( i + 1\) , \( -160 i - 47\) , \( -1048 i + 37\bigr] \) ${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-160i-47\right){x}-1048i+37$
76250.5-a1 76250.5-a $2$
$5$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
76250.5
\( 2 \cdot 5^{4} \cdot 61 \)
\( 2 \cdot 5^{11} \cdot 61^{5} \)
$2.96981$
$(a+1), (-a-2), (2a+1), (-6a-5)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ $5$
5B.1.3 $1$
\( 2^{2} \cdot 5 \)
$0.129453496$
$0.523238224$
2.709400698
\( -\frac{14362283266683}{8445963010} a - \frac{4028212136069}{8445963010} \)
\( \bigl[1\) , \( i - 1\) , \( i\) , \( -i + 166\) , \( -927 i - 367\bigr] \) ${y}^2+{x}{y}+i{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-i+166\right){x}-927i-367$
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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.
