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
104976.1-CMj1	104976.1-CMj	$1$	$1$	\(\Q(\sqrt{-3}) \)	$2$	$[0, 1]$	104976.1	\( 2^{4} \cdot 3^{8} \)	\( 2^{16} \cdot 3^{14} \)	$2.78594$	$(-2a+1), (2)$	$2$	$\Z/3\Z$	$\textsf{yes}$	$-3$	$\mathrm{U}(1)$	✓	✓		✓	$3$	3B.1.1[2]	$1$	\( 3^{2} \)	$0.749684019$	$1.547010376$	5.356743361	\( 0 \)	\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 36\bigr] \)	${y}^2={x}^{3}+36$

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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.