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
882.1-a3	882.1-a	$8$	$16$	\(\Q(\sqrt{2}) \)	$2$	$[2, 0]$	882.1	\( 2 \cdot 3^{2} \cdot 7^{2} \)	\( 2^{2} \cdot 3^{32} \cdot 7^{4} \)	$1.37737$	$(a), (-2a+1), (2a+1), (3)$	0	$\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2$	2B	$1$	\( 2^{7} \)	$1$	$0.754920939$	2.135238861	\( \frac{6359387729183}{4218578658} \)	\( \bigl[1\) , \( 1\) , \( 1\) , \( 386\) , \( 1277\bigr] \)	${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+386{x}+1277$

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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.