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
220.2-c2	220.2-c	$2$	$5$	\(\Q(\sqrt{-55}) \)	$2$	$[0, 1]$	220.2	\( 2^{2} \cdot 5 \cdot 11 \)	\( 2^{10} \cdot 5^{22} \cdot 11^{2} \)	$2.55226$	$(2,a), (2,a+1), (5,a+2), (11,a+5)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$5$	5B.1.4	$1$	\( 2^{2} \cdot 5 \)	$0.138104932$	$1.376145879$	2.050134267	\( \frac{109902239}{1100000} \)	\( \bigl[1\) , \( 0\) , \( 1\) , \( 249\) , \( -6102\bigr] \)	${y}^2+{x}{y}+{y}={x}^3+249{x}-6102$
220.2-f2	220.2-f	$2$	$5$	\(\Q(\sqrt{-55}) \)	$2$	$[0, 1]$	220.2	\( 2^{2} \cdot 5 \cdot 11 \)	\( 2^{10} \cdot 5^{10} \cdot 11^{2} \)	$2.55226$	$(2,a), (2,a+1), (5,a+2), (11,a+5)$	$1$	$\Z/5\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$5$	5B.1.1	$1$	\( 2^{2} \cdot 5^{3} \)	$0.632146461$	$1.376145879$	9.384061113	\( \frac{109902239}{1100000} \)	\( \bigl[1\) , \( 1\) , \( 1\) , \( 10\) , \( -45\bigr] \)	${y}^2+{x}{y}+{y}={x}^3+{x}^2+10{x}-45$

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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.