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-b2	13122.1-b	$4$	$21$	\(\Q(\sqrt{-1}) \)	$2$	$[0, 1]$	13122.1	\( 2 \cdot 3^{8} \)	\( 2^{6} \cdot 3^{20} \)	$1.91280$	$(a+1), (3)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$3, 7$	3B.1.2, 7B	$1$	\( 2 \cdot 3 \)	$0.146674927$	$1.361465512$	2.396314257	\( -\frac{140625}{8} \)	\( \bigl[1\) , \( -1\) , \( 0\) , \( -42\) , \( -100\bigr] \)	${y}^2+{x}{y}={x}^{3}-{x}^{2}-42{x}-100$
13122.1-c2	13122.1-c	$4$	$21$	\(\Q(\sqrt{-1}) \)	$2$	$[0, 1]$	13122.1	\( 2 \cdot 3^{8} \)	\( 2^{6} \cdot 3^{8} \)	$1.91280$	$(a+1), (3)$	0	$\Z/3\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$3, 7$	3B.1.1, 7B.2.1	$1$	\( 2 \cdot 3 \)	$1$	$4.084396538$	2.722931025	\( -\frac{140625}{8} \)	\( \bigl[i\) , \( 1\) , \( i\) , \( -4\) , \( -5\bigr] \)	${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-4{x}-5$

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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.