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
1800.1-c3	1800.1-c	$4$	$4$	\(\Q(\sqrt{2}) \)	$2$	$[2, 0]$	1800.1	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{10} \cdot 3^{2} \cdot 5^{8} \)	$1.64627$	$(a), (3), (5)$	0	$\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2$	2B	$1$	\( 2^{3} \)	$1$	$12.39841016$	2.191749975	\( \frac{136835858}{1875} \)	\( \bigl[a\) , \( 0\) , \( 0\) , \( -34\) , \( 70\bigr] \)	${y}^2+a{x}{y}={x}^{3}-34{x}+70$
3600.1-m3	3600.1-m	$4$	$4$	\(\Q(\sqrt{2}) \)	$2$	$[2, 0]$	3600.1	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{10} \cdot 3^{2} \cdot 5^{8} \)	$1.95776$	$(a), (3), (5)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2$	2B	$1$	\( 2^{4} \)	$0.222905284$	$3.910645665$	2.465550068	\( \frac{136835858}{1875} \)	\( \bigl[a\) , \( -1\) , \( 0\) , \( -34\) , \( -70\bigr] \)	${y}^2+a{x}{y}={x}^{3}-{x}^{2}-34{x}-70$

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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.