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
24336.2-n2	24336.2-n	$2$	$2$	\(\Q(\sqrt{-2}) \)	$2$	$[0, 1]$	24336.2	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \)	\( 2^{8} \cdot 3^{20} \cdot 13^{6} \)	$3.15679$	$(a), (-a-1), (a-1), (13)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2$	2B	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \)	$0.203375713$	$0.342059320$	7.378647798	\( \frac{1909913257984}{129730653} \)	\( \bigl[0\) , \( 1\) , \( 0\) , \( -651\) , \( -6228\bigr] \)	${y}^2={x}^{3}+{x}^{2}-651{x}-6228$

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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.