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
42250.7-d1 42250.7-d $2$
$5$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
42250.7
\( 2 \cdot 5^{3} \cdot 13^{2} \)
\( 2^{35} \cdot 5^{3} \cdot 13^{9} \)
$2.56227$
$(a+1), (-a-2), (2a+1), (-3a-2)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ $5$
5B $1$
\( 2 \)
$4.339121599$
$0.178415783$
3.096671122
\( -\frac{509674723}{1310720} a + \frac{1260956811}{1310720} \)
\( \bigl[i\) , \( 0\) , \( 1\) , \( 1200 i - 384\) , \( 1557 i + 15615\bigr] \) ${y}^2+i{x}{y}+{y}={x}^{3}+\left(1200i-384\right){x}+1557i+15615$
42250.7-k1 42250.7-k $2$
$5$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
42250.7
\( 2 \cdot 5^{3} \cdot 13^{2} \)
\( 2^{35} \cdot 5^{9} \cdot 13^{3} \)
$2.56227$
$(a+1), (-a-2), (2a+1), (-3a-2)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ $5$
5B $1$
\( 2 \cdot 3 \cdot 5 \cdot 7 \)
$0.051179242$
$0.287686806$
6.183908989
\( -\frac{509674723}{1310720} a + \frac{1260956811}{1310720} \)
\( \bigl[1\) , \( i\) , \( 1\) , \( -411 i + 256\) , \( -3266 i + 1881\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-411i+256\right){x}-3266i+1881$
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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.
