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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
29.1-a1	29.1-a	$2$	$2$	4.4.8000.1	$4$	$[4, 0]$	29.1	\( 29 \)	\( 29^{4} \)	$12.17540$	$(1/2a^2+a-4)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$4$	\( 2 \)	$1$	$94.11493115$	2.104473837	\( -\frac{18141312}{707281} a^{3} - \frac{353227136}{707281} a^{2} - \frac{276422400}{707281} a + \frac{1507649088}{707281} \)	\( \bigl[\frac{1}{2} a^{3} - 3 a\) , \( \frac{1}{2} a^{2} + a - 2\) , \( a + 1\) , \( 3 a^{3} - 6 a^{2} - 21 a + 44\) , \( \frac{5}{2} a^{3} - 5 a^{2} - 19 a + 33\bigr] \)	${y}^2+\left(\frac{1}{2}a^{3}-3a\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(\frac{1}{2}a^{2}+a-2\right){x}^{2}+\left(3a^{3}-6a^{2}-21a+44\right){x}+\frac{5}{2}a^{3}-5a^{2}-19a+33$
29.1-b2	29.1-b	$2$	$2$	4.4.8000.1	$4$	$[4, 0]$	29.1	\( 29 \)	\( 29^{4} \)	$12.17540$	$(1/2a^2+a-4)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$1$	\( 2^{2} \)	$0.090656644$	$639.0544681$	2.590911100	\( -\frac{18141312}{707281} a^{3} - \frac{353227136}{707281} a^{2} - \frac{276422400}{707281} a + \frac{1507649088}{707281} \)	\( \bigl[\frac{1}{2} a^{3} - 2 a\) , \( \frac{1}{2} a^{3} - \frac{1}{2} a^{2} - 2 a + 3\) , \( \frac{1}{2} a^{3} - 3 a + 1\) , \( \frac{1}{2} a^{3} + 3 a^{2} - 2 a - 8\) , \( -2 a^{3} + 10 a^{2} + 6 a - 29\bigr] \)	${y}^2+\left(\frac{1}{2}a^{3}-2a\right){x}{y}+\left(\frac{1}{2}a^{3}-3a+1\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}-\frac{1}{2}a^{2}-2a+3\right){x}^{2}+\left(\frac{1}{2}a^{3}+3a^{2}-2a-8\right){x}-2a^{3}+10a^{2}+6a-29$

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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.