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
3468.1-c4	3468.1-c	$4$	$6$	\(\Q(\sqrt{-3}) \)	$2$	$[0, 1]$	3468.1	\( 2^{2} \cdot 3 \cdot 17^{2} \)	\( 2^{12} \cdot 3^{12} \cdot 17^{2} \)	$1.18773$	$(-2a+1), (2), (17)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 3$	2B, 3B.1.1[2]	$1$	\( 2^{3} \cdot 3^{2} \)	$1$	$0.831735869$	1.920811713	\( \frac{1845026709625}{793152} \)	\( \bigl[a\) , \( 0\) , \( 1\) , \( 255 a\) , \( 1550\bigr] \)	${y}^2+a{x}{y}+{y}={x}^{3}+255a{x}+1550$

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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.