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
13122.1-a2	13122.1-a	$2$	$3$	\(\Q(\sqrt{-1}) \)	$2$	$[0, 1]$	13122.1	\( 2 \cdot 3^{8} \)	\( 2^{12} \cdot 3^{20} \)	$1.91280$	$(a+1), (3)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2, 3$	2Cn, 3B.1.2	$1$	\( 2 \cdot 3 \)	$0.101978294$	$1.101861126$	1.348391023	\( \frac{109503}{64} \)	\( \bigl[i\) , \( 1\) , \( 0\) , \( 39\) , \( 19\bigr] \)	${y}^2+i{x}{y}={x}^{3}+{x}^{2}+39{x}+19$
13122.1-d2	13122.1-d	$2$	$3$	\(\Q(\sqrt{-1}) \)	$2$	$[0, 1]$	13122.1	\( 2 \cdot 3^{8} \)	\( 2^{12} \cdot 3^{8} \)	$1.91280$	$(a+1), (3)$	0	$\Z/3\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2, 3$	2Cn, 3B.1.1	$1$	\( 2^{2} \cdot 3 \)	$1$	$3.305583379$	4.407444505	\( \frac{109503}{64} \)	\( \bigl[1\) , \( -1\) , \( 1\) , \( 4\) , \( -1\bigr] \)	${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+4{x}-1$

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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.