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
484.1-a1	484.1-a	$2$	$3$	\(\Q(\sqrt{-5}) \)	$2$	$[0, 1]$	484.1	\( 2^{2} \cdot 11^{2} \)	\( 2^{16} \cdot 11^{6} \)	$1.87441$	$(2,a+1), (11)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$3$	3B	$1$	\( 3^{2} \)	$0.058354610$	$2.457445862$	1.154374258	\( -\frac{199794688}{1331} \)	\( \bigl[0\) , \( -1\) , \( 0\) , \( -77\) , \( 289\bigr] \)	${y}^2={x}^3-{x}^2-77{x}+289$
484.1-b1	484.1-b	$2$	$3$	\(\Q(\sqrt{-5}) \)	$2$	$[0, 1]$	484.1	\( 2^{2} \cdot 11^{2} \)	\( 2^{16} \cdot 11^{6} \)	$1.87441$	$(2,a+1), (11)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$3$	3B.1.1	$1$	\( 3 \)	$0.546704862$	$2.457445862$	3.604982358	\( -\frac{199794688}{1331} \)	\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \)	${y}^2={x}^3+{x}^2-77{x}-289$

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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.