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
576.2-a4	576.2-a	$6$	$8$	\(\Q(\sqrt{-35}) \)	$2$	$[0, 1]$	576.2	\( 2^{6} \cdot 3^{2} \)	\( 2^{20} \cdot 3^{8} \)	$2.58987$	$(3,a), (3,a+2), (2)$	0	$\Z/2\Z\oplus\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2$	2Cs	$4$	\( 2^{3} \)	$1$	$1.817673508$	1.228971599	\( \frac{1556068}{81} \)	\( \bigl[0\) , \( -1\) , \( 0\) , \( -24\) , \( -36\bigr] \)	${y}^2={x}^3-{x}^2-24{x}-36$
576.2-f4	576.2-f	$6$	$8$	\(\Q(\sqrt{-35}) \)	$2$	$[0, 1]$	576.2	\( 2^{6} \cdot 3^{2} \)	\( 2^{20} \cdot 3^{20} \)	$2.58987$	$(3,a), (3,a+2), (2)$	0	$\Z/2\Z\oplus\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2$	2Cs	$4$	\( 2^{5} \)	$1$	$1.817673508$	4.915886399	\( \frac{1556068}{81} \)	\( \bigl[0\) , \( a\) , \( 0\) , \( -24 a + 216\) , \( -288 a - 324\bigr] \)	${y}^2={x}^3+a{x}^2+\left(-24a+216\right){x}-288a-324$

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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.