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
13932.1-c2	13932.1-c	$2$	$3$	\(\Q(\sqrt{-43}) \)	$2$	$[0, 1]$	13932.1	\( 2^{2} \cdot 3^{4} \cdot 43 \)	\( 2^{8} \cdot 3^{18} \cdot 43^{6} \)	$6.36614$	$(-2a+1), (2), (3)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$3$	3B.1.2	$4$	\( 2^{4} \cdot 3 \)	$0.139574287$	$0.256510548$	4.193123394	\( \frac{751089429}{1272112} \)	\( \bigl[1\) , \( -1\) , \( 1\) , \( 511\) , \( 6049\bigr] \)	${y}^2+{x}{y}+{y}={x}^3-{x}^2+511{x}+6049$

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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.