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-c1	1452.1-c	$2$	$2$	\(\Q(\sqrt{21}) \)	$2$	$[2, 0]$	1452.1	\( 2^{2} \cdot 3 \cdot 11^{2} \)	\( 2^{4} \cdot 3^{16} \cdot 11^{4} \)	$2.52778$	$(-a+2), (2), (11)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$1$	\( 2^{6} \)	$0.102553931$	$5.787714375$	4.144763299	\( -\frac{65315105246375}{3175524} a + \frac{91344237347125}{1587762} \)	\( \bigl[1\) , \( a + 1\) , \( 0\) , \( -423 a - 860\) , \( 7025 a + 13001\bigr] \)	${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-423a-860\right){x}+7025a+13001$
1452.1-g1	1452.1-g	$2$	$2$	\(\Q(\sqrt{21}) \)	$2$	$[2, 0]$	1452.1	\( 2^{2} \cdot 3 \cdot 11^{2} \)	\( 2^{4} \cdot 3^{16} \cdot 11^{4} \)	$2.52778$	$(-a+2), (2), (11)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$1$	\( 2^{3} \)	$1$	$1.065931789$	0.465210772	\( -\frac{65315105246375}{3175524} a + \frac{91344237347125}{1587762} \)	\( \bigl[a\) , \( -a\) , \( 0\) , \( 493 a - 1465\) , \( 9949 a - 28067\bigr] \)	${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(493a-1465\right){x}+9949a-28067$

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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.