Elliptic curve search results

Results (unique match)

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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
25992.5-a1	25992.5-a	$1$	$1$	\(\Q(\sqrt{-2}) \)	$2$	$[0, 1]$	25992.5	\( 2^{3} \cdot 3^{2} \cdot 19^{2} \)	\( 2^{4} \cdot 3^{4} \cdot 19^{6} \)	$3.20918$	$(a), (-a-1), (a-1), (-3a+1), (3a+1)$	$2$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓					$1$	\( 2^{3} \cdot 3^{2} \)	$0.014048452$	$1.742877918$	4.986237382	\( \frac{70575104}{61731} \)	\( \bigl[0\) , \( -1\) , \( a\) , \( 14\) , \( -18\bigr] \)	${y}^2+a{y}={x}^{3}-{x}^{2}+14{x}-18$

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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.