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
4356.2-g3	4356.2-g	$4$	$4$	\(\Q(\sqrt{-19}) \)	$2$	$[0, 1]$	4356.2	\( 2^{2} \cdot 3^{2} \cdot 11^{2} \)	\( 2^{4} \cdot 3^{4} \cdot 11^{4} \)	$3.16437$	$(a+2), (a-3), (2), (3)$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2$	2Cs	$1$	\( 2^{4} \)	$2.510019693$	$2.418276224$	5.570141473	\( \frac{1180932193}{4356} \)	\( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \)	${y}^2+{x}{y}+{y}={x}^3+{x}^2-22{x}-49$

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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.