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
63075.1-d2	63075.1-d	$4$	$4$	\(\Q(\sqrt{-3}) \)	$2$	$[0, 1]$	63075.1	\( 3 \cdot 5^{2} \cdot 29^{2} \)	\( 3^{8} \cdot 5^{4} \cdot 29^{4} \)	$2.45281$	$(-2a+1), (5), (29)$	0	$\Z/2\Z\oplus\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2$	2Cs	$1$	\( 2^{5} \)	$1$	$1.243395410$	2.871498698	\( \frac{3803721481}{1703025} \)	\( \bigl[1\) , \( 0\) , \( 1\) , \( -33\) , \( 31\bigr] \)	${y}^2+{x}{y}+{y}={x}^{3}-33{x}+31$

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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.