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
97.2-a1	97.2-a	$2$	$2$	5.5.24217.1	$5$	$[5, 0]$	97.2	\( 97 \)	\( 97 \)	$21.97232$	$(-a^3+a^2+4a-1)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$1$	\( 1 \)	$1$	$973.0101957$	1.56313767	\( -\frac{112934}{97} a^{4} - \frac{488086}{97} a^{3} + \frac{952762}{97} a^{2} + \frac{2083783}{97} a - \frac{1584511}{97} \)	\( \bigl[2 a^{4} - 9 a^{2} + 2\) , \( a^{4} - a^{3} - 5 a^{2} + 3 a + 3\) , \( a^{2} + a - 2\) , \( -a^{4} - 2 a^{3} + 4 a^{2} + 7 a\) , \( -3 a^{4} + 14 a^{2} + a - 7\bigr] \)	${y}^2+\left(2a^{4}-9a^{2}+2\right){x}{y}+\left(a^{2}+a-2\right){y}={x}^{3}+\left(a^{4}-a^{3}-5a^{2}+3a+3\right){x}^{2}+\left(-a^{4}-2a^{3}+4a^{2}+7a\right){x}-3a^{4}+14a^{2}+a-7$

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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.