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
22500.3-e2	22500.3-e	$2$	$2$	\(\Q(\sqrt{-1}) \)	$2$	$[0, 1]$	22500.3	\( 2^{2} \cdot 3^{2} \cdot 5^{4} \)	\( 2^{8} \cdot 3^{4} \cdot 5^{18} \)	$2.18884$	$(a+1), (-a-2), (2a+1), (3)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2$	2B	$1$	\( 2^{3} \)	$1.928831358$	$0.477623141$	3.685017969	\( \frac{131072}{9} \)	\( \bigl[0\) , \( 1\) , \( 0\) , \( -333\) , \( 2088\bigr] \)	${y}^2={x}^{3}+{x}^{2}-333{x}+2088$
900.2-a2	900.2-a	$4$	$4$	\(\Q(\sqrt{-5}) \)	$2$	$[0, 1]$	900.2	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{8} \cdot 3^{4} \cdot 5^{6} \)	$2.18884$	$(2,a+1), (3,a+1), (3,a+2), (-a)$	$2$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2$	2B	$1$	\( 2^{4} \cdot 3 \)	$0.058435842$	$2.388115705$	2.995648887	\( \frac{131072}{9} \)	\( \bigl[0\) , \( -1\) , \( 0\) , \( -13\) , \( 22\bigr] \)	${y}^2={x}^3-{x}^2-13{x}+22$

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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.