Elliptic curve search results

Results (unique match)

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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
64.1-a2	64.1-a	$4$	$4$	3.3.361.1	$3$	$[3, 0]$	64.1	\( 2^{6} \)	\( 2^{12} \)	$3.39564$	$(2)$	0	$\Z/2\Z\oplus\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓		✓	$2, 5$	2Cs, 5S4	$1$	\( 1 \)	$1$	$287.1091447$	0.944437976	\( 4864 \)	\( \bigl[0\) , \( a^{2} - 5\) , \( 0\) , \( -3 a^{2} - 2 a + 11\) , \( 2 a^{2} + 2 a - 7\bigr] \)	${y}^2={x}^{3}+\left(a^{2}-5\right){x}^{2}+\left(-3a^{2}-2a+11\right){x}+2a^{2}+2a-7$

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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.