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
26.1-a1	26.1-a	$2$	$3$	3.3.148.1	$3$	$[3, 0]$	26.1	\( 2 \cdot 13 \)	\( - 2 \cdot 13 \)	$1.87111$	$(a^2-a-2), (a^2-2a-2)$	0	$\Z/3\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$3$	3B.1.1	$1$	\( 1 \)	$1$	$83.69718755$	0.764429604	\( \frac{47519}{26} a^{2} - \frac{15283}{13} a - \frac{161671}{26} \)	\( \bigl[1\) , \( a^{2} - 2 a - 3\) , \( a^{2} - 2\) , \( -a^{2} + 4\) , \( -a - 1\bigr] \)	${y}^2+{x}{y}+\left(a^{2}-2\right){y}={x}^{3}+\left(a^{2}-2a-3\right){x}^{2}+\left(-a^{2}+4\right){x}-a-1$
208.1-b2	208.1-b	$2$	$3$	3.3.148.1	$3$	$[3, 0]$	208.1	\( 2^{4} \cdot 13 \)	\( - 2^{13} \cdot 13 \)	$2.64614$	$(a^2-a-2), (a^2-2a-2)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$					$3$	3B	$1$	\( 2^{2} \)	$0.009164736$	$190.9012932$	1.725755341	\( \frac{47519}{26} a^{2} - \frac{15283}{13} a - \frac{161671}{26} \)	\( \bigl[a^{2} - a - 2\) , \( a^{2} - a - 1\) , \( a^{2} - a - 2\) , \( -3 a^{2} + 9 a - 5\) , \( 14 a^{2} - 34 a + 8\bigr] \)	${y}^2+\left(a^{2}-a-2\right){x}{y}+\left(a^{2}-a-2\right){y}={x}^{3}+\left(a^{2}-a-1\right){x}^{2}+\left(-3a^{2}+9a-5\right){x}+14a^{2}-34a+8$
338.2-c1	338.2-c	$2$	$3$	3.3.148.1	$3$	$[3, 0]$	338.2	\( 2 \cdot 13^{2} \)	\( - 2 \cdot 13^{7} \)	$2.86917$	$(a^2-a-2), (a^2-2a-2)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$					$3$	3B	$1$	\( 2 \)	$1$	$16.95622935$	2.787586934	\( \frac{47519}{26} a^{2} - \frac{15283}{13} a - \frac{161671}{26} \)	\( \bigl[a^{2} - a - 1\) , \( -a^{2} + 2\) , \( a^{2} - a - 1\) , \( -3\) , \( 3 a^{2} + a - 7\bigr] \)	${y}^2+\left(a^{2}-a-1\right){x}{y}+\left(a^{2}-a-1\right){y}={x}^{3}+\left(-a^{2}+2\right){x}^{2}-3{x}+3a^{2}+a-7$

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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.