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
35721.6-a1	35721.6-a	$1$	$1$	\(\Q(\sqrt{-2}) \)	$2$	$[0, 1]$	35721.6	\( 3^{6} \cdot 7^{2} \)	\( 3^{9} \cdot 7^{2} \)	$3.47468$	$(-a-1), (a-1), (7)$	$2$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$							$1$	\( 2 \cdot 3 \)	$0.054084452$	$4.328738181$	3.973104645	\( -\frac{34537}{63} a - \frac{27749}{63} \)	\( \bigl[1\) , \( -a\) , \( a\) , \( -2 a\) , \( -a + 1\bigr] \)	${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}-2a{x}-a+1$

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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.