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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
11.1-a4	11.1-a	$6$	$8$	4.4.7625.1	$4$	$[4, 0]$	11.1	\( 11 \)	\( 11^{2} \)	$10.53010$	$(1/4a^3-1/4a^2-9/4a)$	0	$\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$1$	\( 2 \)	$1$	$868.2216528$	1.242855680	\( -\frac{3103873072}{121} a^{3} + \frac{10344549461}{121} a^{2} + \frac{345806468}{11} a - \frac{21289260279}{121} \)	\( \bigl[\frac{1}{4} a^{3} - \frac{1}{4} a^{2} - \frac{5}{4} a\) , \( \frac{1}{4} a^{3} - \frac{1}{4} a^{2} - \frac{9}{4} a\) , \( \frac{1}{4} a^{3} + \frac{3}{4} a^{2} - \frac{9}{4} a - 4\) , \( -\frac{17}{2} a^{3} - \frac{41}{2} a^{2} + \frac{55}{2} a + 55\) , \( \frac{225}{4} a^{3} + \frac{455}{4} a^{2} - \frac{725}{4} a - 313\bigr] \)	${y}^2+\left(\frac{1}{4}a^{3}-\frac{1}{4}a^{2}-\frac{5}{4}a\right){x}{y}+\left(\frac{1}{4}a^{3}+\frac{3}{4}a^{2}-\frac{9}{4}a-4\right){y}={x}^{3}+\left(\frac{1}{4}a^{3}-\frac{1}{4}a^{2}-\frac{9}{4}a\right){x}^{2}+\left(-\frac{17}{2}a^{3}-\frac{41}{2}a^{2}+\frac{55}{2}a+55\right){x}+\frac{225}{4}a^{3}+\frac{455}{4}a^{2}-\frac{725}{4}a-313$
11.1-b1	11.1-b	$6$	$8$	4.4.7625.1	$4$	$[4, 0]$	11.1	\( 11 \)	\( 11^{2} \)	$10.53010$	$(1/4a^3-1/4a^2-9/4a)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$1$	\( 2 \)	$1$	$365.7195229$	2.094103896	\( -\frac{3103873072}{121} a^{3} + \frac{10344549461}{121} a^{2} + \frac{345806468}{11} a - \frac{21289260279}{121} \)	\( \bigl[a^{2} - 5\) , \( \frac{1}{4} a^{3} - \frac{5}{4} a^{2} + \frac{3}{4} a + 5\) , \( a^{2} - a - 5\) , \( \frac{5}{2} a^{3} - \frac{15}{2} a^{2} - \frac{5}{2} a + 18\) , \( \frac{13}{4} a^{3} - \frac{41}{4} a^{2} - \frac{17}{4} a + 22\bigr] \)	${y}^2+\left(a^{2}-5\right){x}{y}+\left(a^{2}-a-5\right){y}={x}^{3}+\left(\frac{1}{4}a^{3}-\frac{5}{4}a^{2}+\frac{3}{4}a+5\right){x}^{2}+\left(\frac{5}{2}a^{3}-\frac{15}{2}a^{2}-\frac{5}{2}a+18\right){x}+\frac{13}{4}a^{3}-\frac{41}{4}a^{2}-\frac{17}{4}a+22$

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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.