Elliptic curve search results

Results (unique match)

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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
33800.1-a3	33800.1-a	$4$	$4$	\(\Q(\sqrt{-2}) \)	$2$	$[0, 1]$	33800.1	\( 2^{3} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 5^{2} \cdot 13^{2} \)	$3.42699$	$(a), (5), (13)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2$	2B	$1$	\( 2 \)	$0.950315659$	$4.276779146$	2.873887156	\( \frac{5256144}{65} \)	\( \bigl[a\) , \( -1\) , \( a\) , \( -4\) , \( -2\bigr] \)	${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-4{x}-2$

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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.