Elliptic curve search results

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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
46656.4-a1	46656.4-a	$1$	$1$	\(\Q(\sqrt{-11}) \)	$2$	$[0, 1]$	46656.4	\( 2^{6} \cdot 3^{6} \)	\( 2^{16} \cdot 3^{10} \)	$4.35574$	$(-a), (a-1), (2)$	$2$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓		✓			$1$	\( 2^{2} \cdot 3^{2} \)	$0.027699239$	$2.085880476$	5.017107556	\( -3072 \)	\( \bigl[0\) , \( 0\) , \( 0\) , \( -12\) , \( 20\bigr] \)	${y}^2={x}^{3}-12{x}+20$
46656.4-n1	46656.4-n	$1$	$1$	\(\Q(\sqrt{-11}) \)	$2$	$[0, 1]$	46656.4	\( 2^{6} \cdot 3^{6} \)	\( 2^{16} \cdot 3^{22} \)	$4.35574$	$(-a), (a-1), (2)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓		✓			$4$	\( 2^{2} \)	$1$	$0.695293492$	6.708444023	\( -3072 \)	\( \bigl[0\) , \( 0\) , \( 0\) , \( -108\) , \( -540\bigr] \)	${y}^2={x}^{3}-108{x}-540$

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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.