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-a2	441.1-a	$2$	$2$	\(\Q(\sqrt{6}) \)	$2$	$[2, 0]$	441.1	\( 3^{2} \cdot 7^{2} \)	\( 3^{8} \cdot 7^{4} \)	$2.00611$	$(a+3), (7)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$					$2$	2B	$1$	\( 2^{2} \)	$1.206316332$	$12.02190249$	5.920505431	\( \frac{31456000}{21} a + \frac{541624000}{147} \)	\( \bigl[a\) , \( a\) , \( 1\) , \( 353 a - 861\) , \( 5203 a - 12743\bigr] \)	${y}^2+a{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(353a-861\right){x}+5203a-12743$
441.1-c2	441.1-c	$2$	$2$	\(\Q(\sqrt{6}) \)	$2$	$[2, 0]$	441.1	\( 3^{2} \cdot 7^{2} \)	\( 3^{8} \cdot 7^{4} \)	$2.00611$	$(a+3), (7)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$					$2$	2B	$1$	\( 2^{2} \)	$0.537868749$	$7.293984436$	1.601642260	\( \frac{31456000}{21} a + \frac{541624000}{147} \)	\( \bigl[a\) , \( a\) , \( 1\) , \( -2 a - 21\) , \( -27 a - 34\bigr] \)	${y}^2+a{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-2a-21\right){x}-27a-34$

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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.