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
61250.3-b2 61250.3-b $2$
$3$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
61250.3
\( 2 \cdot 5^{4} \cdot 7^{2} \)
\( 2^{6} \cdot 5^{4} \cdot 7^{4} \)
$2.81155$
$(a+1), (-a-2), (2a+1), (7)$
$2$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3$
3B $1$
\( 2^{2} \)
$0.091961238$
$2.987220153$
4.395335429
\( \frac{397535}{392} \)
\( \bigl[i\) , \( -1\) , \( 0\) , \( 5\) , \( -5\bigr] \) ${y}^2+i{x}{y}={x}^{3}-{x}^{2}+5{x}-5$
61250.3-d2 61250.3-d $2$
$3$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
61250.3
\( 2 \cdot 5^{4} \cdot 7^{2} \)
\( 2^{6} \cdot 5^{16} \cdot 7^{4} \)
$2.81155$
$(a+1), (-a-2), (2a+1), (7)$
$1$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3$
3B.1.1 $1$
\( 2^{2} \cdot 3^{3} \)
$0.443902426$
$0.597444030$
6.364964516
\( \frac{397535}{392} \)
\( \bigl[i\) , \( 0\) , \( 0\) , \( 112\) , \( -392\bigr] \) ${y}^2+i{x}{y}={x}^{3}+112{x}-392$
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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.
