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
65536.1-d2	65536.1-d	$2$	$2$	\(\Q(\sqrt{-3}) \)	$2$	$[0, 1]$	65536.1	\( 2^{16} \)	\( 2^{18} \)	$2.47639$	$(2)$	$1$	$\Z/2\Z$	$\textsf{potential}$	$-4$	$N(\mathrm{U}(1))$	✓	✓		✓			$1$	\( 2 \)	$0.714741348$	$4.861490513$	4.012247529	\( 1728 \)	\( \bigl[0\) , \( 0\) , \( 0\) , \( -2 a\) , \( 0\bigr] \)	${y}^2={x}^{3}-2a{x}$
4096.1-j2	4096.1-j	$2$	$2$	\(\Q(\sqrt{3}) \)	$2$	$[2, 0]$	4096.1	\( 2^{12} \)	\( 2^{18} \)	$2.47639$	$(a+1)$	$1$	$\Z/2\Z$	$\textsf{potential}$	$-4$	$N(\mathrm{U}(1))$	✓	✓		✓			$1$	\( 2^{2} \)	$0.714741348$	$9.722981027$	4.012247529	\( 1728 \)	\( \bigl[0\) , \( 0\) , \( 0\) , \( 2\) , \( 0\bigr] \)	${y}^2={x}^{3}+2{x}$

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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.