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
8450.5-a1 8450.5-a $8$
$12$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
8450.5
\( 2 \cdot 5^{2} \cdot 13^{2} \)
\( 2^{4} \cdot 5^{12} \cdot 13^{4} \)
$1.71349$
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$
$1$
$\Z/2\Z\oplus\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2Cs , 3B.1.1 $1$
\( 2^{5} \cdot 3^{2} \)
$0.585232076$
$0.946074749$
2.214693161
\( -\frac{217081801}{10562500} \)
\( \bigl[i\) , \( 0\) , \( i\) , \( -12\) , \( -156\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-12{x}-156$
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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.
