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
30276.1-e1	30276.1-e	$2$	$2$	\(\Q(\sqrt{-3}) \)	$2$	$[0, 1]$	30276.1	\( 2^{2} \cdot 3^{2} \cdot 29^{2} \)	\( 2^{44} \cdot 3^{6} \cdot 29^{2} \)	$2.04161$	$(-2a+1), (2), (29)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2$	2B	$1$	\( 2^{2} \cdot 11 \)	$1$	$0.252008099$	3.200932764	\( -\frac{35091039199419}{121634816} \)	\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -2046 a + 2046\) , \( 36244\bigr] \)	${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-2046a+2046\right){x}+36244$

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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.