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
1452.1-b1	1452.1-b	$4$	$10$	\(\Q(\sqrt{21}) \)	$2$	$[2, 0]$	1452.1	\( 2^{2} \cdot 3 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{4} \cdot 11^{20} \)	$2.52778$	$(-a+2), (2), (11)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 5$	2B, 5B.4.2	$4$	\( 2^{2} \cdot 5 \)	$1$	$0.884125736$	3.858641056	\( -\frac{112427521449300721}{466873642818} \)	\( \bigl[a\) , \( 1\) , \( a\) , \( 50275 a - 140771\) , \( -9317141 a + 26009932\bigr] \)	${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(50275a-140771\right){x}-9317141a+26009932$
1452.1-i1	1452.1-i	$4$	$10$	\(\Q(\sqrt{21}) \)	$2$	$[2, 0]$	1452.1	\( 2^{2} \cdot 3 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{4} \cdot 11^{20} \)	$2.52778$	$(-a+2), (2), (11)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 5$	2B, 5B.1.2	$1$	\( 2^{3} \cdot 5 \)	$9.780331572$	$0.056797834$	2.424407990	\( -\frac{112427521449300721}{466873642818} \)	\( \bigl[1\) , \( 0\) , \( 0\) , \( -10055\) , \( -390309\bigr] \)	${y}^2+{x}{y}={x}^{3}-10055{x}-390309$

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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.