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
441.1-d2	441.1-d	$2$	$2$	\(\Q(\sqrt{6}) \)	$2$	$[2, 0]$	441.1	\( 3^{2} \cdot 7^{2} \)	\( 3^{6} \cdot 7^{2} \)	$2.00611$	$(a+3), (7)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓				$2$	2B	$1$	\( 2^{2} \)	$0.383631390$	$16.90097518$	2.646977654	\( \frac{1259712}{7} \)	\( \bigl[a\) , \( 0\) , \( a + 1\) , \( -14 a - 36\) , \( -50 a - 123\bigr] \)	${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-14a-36\right){x}-50a-123$
441.1-g2	441.1-g	$2$	$2$	\(\Q(\sqrt{6}) \)	$2$	$[2, 0]$	441.1	\( 3^{2} \cdot 7^{2} \)	\( 3^{6} \cdot 7^{2} \)	$2.00611$	$(a+3), (7)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓				$2$	2B	$1$	\( 2^{2} \)	$0.383631390$	$16.90097518$	2.646977654	\( \frac{1259712}{7} \)	\( \bigl[a\) , \( 0\) , \( a + 1\) , \( 13 a - 36\) , \( 49 a - 123\bigr] \)	${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(13a-36\right){x}+49a-123$

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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.