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
1936.1-a1	1936.1-a	$2$	$3$	\(\Q(\sqrt{-3}) \)	$2$	$[0, 1]$	1936.1	\( 2^{4} \cdot 11^{2} \)	\( 2^{16} \cdot 11^{6} \)	$1.02666$	$(2), (11)$	0	$\Z/3\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$3$	3B.1.1[2]	$1$	\( 3^{2} \)	$1$	$1.228722931$	1.418807030	\( -\frac{199794688}{1331} \)	\( \bigl[0\) , \( -a\) , \( 0\) , \( -77 a + 77\) , \( -289\bigr] \)	${y}^2={x}^{3}-a{x}^{2}+\left(-77a+77\right){x}-289$
30976.1-a1	30976.1-a	$2$	$3$	\(\Q(\sqrt{-3}) \)	$2$	$[0, 1]$	30976.1	\( 2^{8} \cdot 11^{2} \)	\( 2^{16} \cdot 11^{6} \)	$2.05331$	$(2), (11)$	$2$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$3$	3B[2]	$1$	\( 2^{2} \cdot 3 \)	$0.047877851$	$1.228722931$	3.260612759	\( -\frac{199794688}{1331} \)	\( \bigl[0\) , \( -1\) , \( 0\) , \( -77\) , \( 289\bigr] \)	${y}^2={x}^{3}-{x}^{2}-77{x}+289$

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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.