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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
92.2-c2	92.2-c	$2$	$3$	4.4.10304.1	$4$	$[4, 0]$	92.2	\( 2^{2} \cdot 23 \)	\( 2^{2} \cdot 23^{2} \)	$15.96302$	$(-1/2a^3+a^2+5/2a-2), (1/2a^3+1/2a^2-2a-1), (1/2a^3-3/2a^2-3a+9)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$		✓	✓		$3$	3B	$1$	\( 2 \)	$1$	$302.4297391$	5.958700614	\( -\frac{15435}{92} a^{2} + \frac{15435}{92} a + \frac{26411}{23} \)	\( \bigl[\frac{1}{2} a^{3} - \frac{5}{2} a - 1\) , \( -\frac{1}{2} a^{3} + \frac{7}{2} a + 1\) , \( \frac{1}{2} a^{2} + \frac{1}{2} a - 1\) , \( -\frac{5}{2} a^{3} + a^{2} + \frac{39}{2} a + 13\) , \( -\frac{15}{2} a^{3} + a^{2} + \frac{105}{2} a + 33\bigr] \)	${y}^2+\left(\frac{1}{2}a^{3}-\frac{5}{2}a-1\right){x}{y}+\left(\frac{1}{2}a^{2}+\frac{1}{2}a-1\right){y}={x}^{3}+\left(-\frac{1}{2}a^{3}+\frac{7}{2}a+1\right){x}^{2}+\left(-\frac{5}{2}a^{3}+a^{2}+\frac{39}{2}a+13\right){x}-\frac{15}{2}a^{3}+a^{2}+\frac{105}{2}a+33$
92.2-d1	92.2-d	$2$	$3$	4.4.10304.1	$4$	$[4, 0]$	92.2	\( 2^{2} \cdot 23 \)	\( 2^{2} \cdot 23^{2} \)	$15.96302$	$(-1/2a^3+a^2+5/2a-2), (1/2a^3+1/2a^2-2a-1), (1/2a^3-3/2a^2-3a+9)$	0	$\Z/3\Z$	$\textsf{no}$		$\mathrm{SU}(2)$		✓	✓		$3$	3B.1.1	$1$	\( 2 \)	$1$	$202.8269636$	0.444027890	\( -\frac{15435}{92} a^{2} + \frac{15435}{92} a + \frac{26411}{23} \)	\( \bigl[1\) , \( \frac{1}{2} a^{2} - \frac{1}{2} a - 3\) , \( \frac{1}{2} a^{2} - \frac{1}{2} a - 2\) , \( -\frac{1}{2} a^{2} + \frac{1}{2} a + 3\) , \( -1\bigr] \)	${y}^2+{x}{y}+\left(\frac{1}{2}a^{2}-\frac{1}{2}a-2\right){y}={x}^{3}+\left(\frac{1}{2}a^{2}-\frac{1}{2}a-3\right){x}^{2}+\left(-\frac{1}{2}a^{2}+\frac{1}{2}a+3\right){x}-1$

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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.