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
17500.2-a1	17500.2-a	$2$	$3$	\(\Q(\sqrt{-7}) \)	$2$	$[0, 1]$	17500.2	\( 2^{2} \cdot 5^{4} \cdot 7 \)	\( 2^{2} \cdot 5^{4} \cdot 7^{12} \)	$2.71924$	$(a), (-a+1), (-2a+1), (5)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$3$	3B	$1$	\( 2 \)	$0.653095700$	$0.995740051$	1.966363334	\( -\frac{417267265}{235298} \)	\( \bigl[1\) , \( 1\) , \( 0\) , \( -45\) , \( -185\bigr] \)	${y}^2+{x}{y}={x}^{3}+{x}^{2}-45{x}-185$
17500.2-h1	17500.2-h	$2$	$3$	\(\Q(\sqrt{-7}) \)	$2$	$[0, 1]$	17500.2	\( 2^{2} \cdot 5^{4} \cdot 7 \)	\( 2^{2} \cdot 5^{16} \cdot 7^{12} \)	$2.71924$	$(a), (-a+1), (-2a+1), (5)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$3$	3B.1.2	$1$	\( 2^{2} \cdot 3^{2} \)	$1$	$0.199148010$	5.419502837	\( -\frac{417267265}{235298} \)	\( \bigl[1\) , \( 0\) , \( 0\) , \( -1138\) , \( -20858\bigr] \)	${y}^2+{x}{y}={x}^{3}-1138{x}-20858$

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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.