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
64.1-b1	64.1-b	$1$	$1$	6.6.300125.1	$6$	$[6, 0]$	64.1	\( 2^{6} \)	\( 2^{48} \)	$69.23164$	$(2)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓				$1$	\( 2 \)	$1$	$314.5213506$	1.14823	\( \frac{1323}{256} \)	\( \bigl[-2 a^{5} + a^{4} + 14 a^{3} + 4 a^{2} - 10 a - 2\) , \( 7 a^{5} - 2 a^{4} - 50 a^{3} - 22 a^{2} + 32 a + 10\) , \( -4 a^{5} + a^{4} + 29 a^{3} + 13 a^{2} - 18 a - 5\) , \( 11 a^{5} - 3 a^{4} - 79 a^{3} - 34 a^{2} + 51 a + 16\) , \( 7 a^{5} + a^{4} - 55 a^{3} - 37 a^{2} + 47 a + 8\bigr] \)	${y}^2+\left(-2a^{5}+a^{4}+14a^{3}+4a^{2}-10a-2\right){x}{y}+\left(-4a^{5}+a^{4}+29a^{3}+13a^{2}-18a-5\right){y}={x}^{3}+\left(7a^{5}-2a^{4}-50a^{3}-22a^{2}+32a+10\right){x}^{2}+\left(11a^{5}-3a^{4}-79a^{3}-34a^{2}+51a+16\right){x}+7a^{5}+a^{4}-55a^{3}-37a^{2}+47a+8$

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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.