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
192.1-a1	192.1-a	$2$	$2$	\(\Q(\sqrt{57}) \)	$2$	$[2, 0]$	192.1	\( 2^{6} \cdot 3 \)	\( - 2^{18} \cdot 3^{7} \)	$2.51132$	$(a-4), (a+3), (4a+13)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$					$2$	2B	$1$	\( 2^{2} \cdot 7 \)	$1$	$2.366795926$	2.194428451	\( -\frac{3312124708}{81} a + \frac{14159196572}{81} \)	\( \bigl[0\) , \( -a\) , \( 0\) , \( 63 a - 257\) , \( 580 a - 2492\bigr] \)	${y}^2={x}^{3}-a{x}^{2}+\left(63a-257\right){x}+580a-2492$
192.1-h1	192.1-h	$2$	$2$	\(\Q(\sqrt{57}) \)	$2$	$[2, 0]$	192.1	\( 2^{6} \cdot 3 \)	\( - 2^{18} \cdot 3^{7} \)	$2.51132$	$(a-4), (a+3), (4a+13)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$					$2$	2B	$1$	\( 2^{3} \)	$0.760854258$	$7.619769145$	3.071608443	\( -\frac{3312124708}{81} a + \frac{14159196572}{81} \)	\( \bigl[0\) , \( -1\) , \( 0\) , \( 75236 a + 246392\) , \( 2819016 a + 9232044\bigr] \)	${y}^2={x}^{3}-{x}^{2}+\left(75236a+246392\right){x}+2819016a+9232044$

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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.