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
49.1-a4	49.1-a	$4$	$4$	4.4.17725.1	$4$	$[4, 0]$	49.1	\( 7^{2} \)	\( 7^{6} \)	$19.35112$	$(a^2-10)$	$1$	$\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$1$	\( 3 \)	$0.269488823$	$1254.782267$	1.904922331	\( -\frac{72741807}{343} a^{3} + 1132866 a^{2} + \frac{41876676}{343} a - \frac{1756222938}{343} \)	\( \bigl[a^{2} - 7\) , \( a^{3} - a^{2} - 8 a + 1\) , \( a^{3} - 8 a - 6\) , \( -a^{3} + 8 a^{2} + 5 a - 41\) , \( 3 a^{3} + 2 a^{2} - 25 a - 31\bigr] \)	${y}^2+\left(a^{2}-7\right){x}{y}+\left(a^{3}-8a-6\right){y}={x}^{3}+\left(a^{3}-a^{2}-8a+1\right){x}^{2}+\left(-a^{3}+8a^{2}+5a-41\right){x}+3a^{3}+2a^{2}-25a-31$

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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.