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
726.1-d1	726.1-d	$4$	$6$	\(\Q(\sqrt{6}) \)	$2$	$[2, 0]$	726.1	\( 2 \cdot 3 \cdot 11^{2} \)	\( 2^{6} \cdot 3^{4} \cdot 11^{12} \)	$2.27237$	$(-a+2), (a+3), (11)$	$1$	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 3$	2B, 3B.1.1	$1$	\( 2^{4} \cdot 3^{2} \)	$1.548328844$	$2.444595345$	6.180940330	\( -\frac{7357983625}{127552392} \)	\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 811 a - 1984\) , \( -109228 a + 267554\bigr] \)	${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(811a-1984\right){x}-109228a+267554$
726.1-f1	726.1-f	$4$	$6$	\(\Q(\sqrt{6}) \)	$2$	$[2, 0]$	726.1	\( 2 \cdot 3 \cdot 11^{2} \)	\( 2^{6} \cdot 3^{4} \cdot 11^{12} \)	$2.27237$	$(-a+2), (a+3), (11)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 3$	2B, 3B.1.2	$1$	\( 2^{4} \cdot 3 \)	$1$	$0.635354791$	1.556295044	\( -\frac{7357983625}{127552392} \)	\( \bigl[1\) , \( 0\) , \( 1\) , \( -41\) , \( -556\bigr] \)	${y}^2+{x}{y}+{y}={x}^{3}-41{x}-556$

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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.