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
98.1-a2	98.1-a	$6$	$18$	\(\Q(\sqrt{19}) \)	$2$	$[2, 0]$	98.1	\( 2 \cdot 7^{2} \)	\( 2^{4} \cdot 7^{2} \)	$2.45105$	$(-3a+13), (7)$	$1$	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 3$	2B, 3B.1.1	$1$	\( 2 \)	$2.879133178$	$35.33144352$	1.296503908	\( -\frac{15625}{28} \)	\( \bigl[1\) , \( 0\) , \( 1\) , \( -1\) , \( 0\bigr] \)	${y}^2+{x}{y}+{y}={x}^{3}-{x}$
98.1-b2	98.1-b	$6$	$18$	\(\Q(\sqrt{19}) \)	$2$	$[2, 0]$	98.1	\( 2 \cdot 7^{2} \)	\( 2^{4} \cdot 7^{2} \)	$2.45105$	$(-3a+13), (7)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 3$	2B, 3B	$9$	\( 2^{2} \)	$1$	$7.027708105$	7.255200656	\( -\frac{15625}{28} \)	\( \bigl[a\) , \( 1\) , \( a\) , \( 1\) , \( 1\bigr] \)	${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+{x}+1$

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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.