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
100.3-a2	100.3-a	$2$	$2$	\(\Q(\sqrt{17}) \)	$2$	$[2, 0]$	100.3	\( 2^{2} \cdot 5^{2} \)	\( - 2^{4} \cdot 5^{4} \)	$1.16510$	$(-a-1), (5)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$					$2$	2B	$1$	\( 2 \cdot 3 \)	$0.058051683$	$27.30836902$	1.153472849	\( \frac{79461}{25} a + \frac{124119}{25} \)	\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -4 a - 6\) , \( 0\bigr] \)	${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-4a-6\right){x}$
400.5-c2	400.5-c	$2$	$2$	\(\Q(\sqrt{17}) \)	$2$	$[2, 0]$	400.5	\( 2^{4} \cdot 5^{2} \)	\( - 2^{4} \cdot 5^{4} \)	$1.64770$	$(-a-1), (5)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$					$2$	2B	$1$	\( 2 \)	$0.702080638$	$18.21264629$	3.101241514	\( \frac{79461}{25} a + \frac{124119}{25} \)	\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( a + 3\) , \( -3 a + 10\bigr] \)	${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(a+3\right){x}-3a+10$

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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.