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
35721.1-f2	35721.1-f	$2$	$3$	\(\Q(\sqrt{-7}) \)	$2$	$[0, 1]$	35721.1	\( 3^{6} \cdot 7^{2} \)	\( 3^{6} \cdot 7^{4} \)	$3.25026$	$(-2a+1), (3)$	$2$	$\Z/3\Z$	$\textsf{potential}$	$-3$	$N(\mathrm{U}(1))$	✓	✓		✓	$3$	3B.1.1	$1$	\( 3 \)	$1.255450450$	$4.238849958$	5.363735251	\( 0 \)	\( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( -2\bigr] \)	${y}^2+{y}={x}^{3}-2$

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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.