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
254.2-a3	254.2-a	$4$	$6$	\(\Q(\sqrt{2}) \)	$2$	$[2, 0]$	254.2	\( 2 \cdot 127 \)	\( 2 \cdot 127^{6} \)	$1.00900$	$(a), (8a-1)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3B.1.2	$1$	\( 2 \cdot 3 \)	$1$	$3.116749225$	1.652905884	\( -\frac{49516122983763575}{8391745829378} a + \frac{46201138692841517}{4195872914689} \)	\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -15 a - 61\) , \( -5 a - 107\bigr] \)	${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-15a-61\right){x}-5a-107$
2032.2-a3	2032.2-a	$4$	$6$	\(\Q(\sqrt{2}) \)	$2$	$[2, 0]$	2032.2	\( 2^{4} \cdot 127 \)	\( 2^{13} \cdot 127^{6} \)	$1.69693$	$(a), (8a-1)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$					$2, 3$	2B, 3B	$1$	\( 2^{3} \)	$1$	$2.910230739$	2.057843890	\( -\frac{49516122983763575}{8391745829378} a + \frac{46201138692841517}{4195872914689} \)	\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -63 a - 244\) , \( 284 a + 977\bigr] \)	${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-63a-244\right){x}+284a+977$

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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.