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-c2	1452.1-c	$2$	$2$	\(\Q(\sqrt{21}) \)	$2$	$[2, 0]$	1452.1	\( 2^{2} \cdot 3 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 11^{2} \)	$2.52778$	$(-a+2), (2), (11)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$1$	\( 2^{4} \)	$0.205107862$	$11.57542875$	4.144763299	\( \frac{42886322528375}{14256} a + \frac{25607299252625}{4752} \)	\( \bigl[1\) , \( a + 1\) , \( 0\) , \( -443 a - 800\) , \( 7149 a + 12813\bigr] \)	${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-443a-800\right){x}+7149a+12813$
1452.1-g2	1452.1-g	$2$	$2$	\(\Q(\sqrt{21}) \)	$2$	$[2, 0]$	1452.1	\( 2^{2} \cdot 3 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 11^{2} \)	$2.52778$	$(-a+2), (2), (11)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$1$	\( 2^{2} \)	$1$	$2.131863578$	0.465210772	\( \frac{42886322528375}{14256} a + \frac{25607299252625}{4752} \)	\( \bigl[a\) , \( -a\) , \( 0\) , \( 13 a - 125\) , \( 105 a - 591\bigr] \)	${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(13a-125\right){x}+105a-591$

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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.