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
19.1-a1	19.1-a	$1$	$1$	4.4.12725.1	$4$	$[4, 0]$	19.1	\( 19 \)	\( - 19^{3} \)	$14.56504$	$(a^3-a^2-6a-1)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$			✓				$1$	\( 1 \)	$1$	$235.2753967$	2.085679722	\( -\frac{69350388631}{6859} a^{3} - \frac{45292282430}{6859} a^{2} + \frac{573308883769}{6859} a + \frac{758083339011}{6859} \)	\( \bigl[a^{3} - 6 a - 6\) , \( a^{3} - 7 a - 5\) , \( a^{3} - 7 a - 6\) , \( 6 a^{3} - 3 a^{2} - 38 a + 2\) , \( -4 a^{3} + 41 a^{2} - 6 a - 207\bigr] \)	${y}^2+\left(a^{3}-6a-6\right){x}{y}+\left(a^{3}-7a-6\right){y}={x}^{3}+\left(a^{3}-7a-5\right){x}^{2}+\left(6a^{3}-3a^{2}-38a+2\right){x}-4a^{3}+41a^{2}-6a-207$

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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.