Elliptic curve search results

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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
27500.3-j2	27500.3-j	$3$	$25$	\(\Q(\sqrt{-11}) \)	$2$	$[0, 1]$	27500.3	\( 2^{2} \cdot 5^{4} \cdot 11 \)	\( 2^{2} \cdot 5^{6} \cdot 11^{2} \)	$3.81652$	$(-a-1), (a-2), (-2a+1), (2)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$5$	5B.1.2	$1$	\( 2^{3} \)	$0.173311801$	$2.345784066$	3.922561885	\( -\frac{19465109}{22} \)	\( \bigl[1\) , \( 1\) , \( 1\) , \( -28\) , \( -69\bigr] \)	${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-28{x}-69$

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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.