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
18496.4-b2	18496.4-b	$2$	$2$	\(\Q(\sqrt{-7}) \)	$2$	$[0, 1]$	18496.4	\( 2^{6} \cdot 17^{2} \)	\( 2^{22} \cdot 17^{4} \)	$2.75713$	$(a), (-a+1), (17)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2$	2B	$4$	\( 2 \)	$1$	$1.301724628$	1.968022652	\( \frac{6097250}{289} \)	\( \bigl[0\) , \( -1\) , \( 0\) , \( -48\) , \( 140\bigr] \)	${y}^2={x}^{3}-{x}^{2}-48{x}+140$

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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.