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
3364.1-f1	3364.1-f	$2$	$5$	\(\Q(\sqrt{5}) \)	$2$	$[2, 0]$	3364.1	\( 2^{2} \cdot 29^{2} \)	\( 2^{4} \cdot 29^{10} \)	$1.52173$	$(a+5), (a-6), (2)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$5$	5B.1.4[2]	$1$	\( 2 \)	$5.224618242$	$0.266879439$	2.494276920	\( -\frac{10418796526321}{82044596} \)	\( \bigl[1\) , \( 1\) , \( 1\) , \( -455\) , \( -3951\bigr] \)	${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-455{x}-3951$

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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.