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
260.2-a1	260.2-a	$1$	$1$	\(\Q(\sqrt{10}) \)	$2$	$[2, 0]$	260.2	\( 2^{2} \cdot 5 \cdot 13 \)	\( 2^{20} \cdot 5 \cdot 13 \)	$2.26940$	$(2,a), (5,a), (13,a+6)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$							$1$	\( 1 \)	$1$	$5.496886437$	0.869134059	\( -\frac{42496}{65} a - \frac{26880}{13} \)	\( \bigl[0\) , \( -a\) , \( 0\) , \( 8 a - 22\) , \( 1854 a - 5864\bigr] \)	${y}^2={x}^{3}-a{x}^{2}+\left(8a-22\right){x}+1854a-5864$
260.2-d1	260.2-d	$1$	$1$	\(\Q(\sqrt{10}) \)	$2$	$[2, 0]$	260.2	\( 2^{2} \cdot 5 \cdot 13 \)	\( 2^{8} \cdot 5 \cdot 13 \)	$2.26940$	$(2,a), (5,a), (13,a+6)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$							$1$	\( 3 \)	$1$	$5.496886437$	2.607402177	\( -\frac{42496}{65} a - \frac{26880}{13} \)	\( \bigl[0\) , \( a\) , \( 0\) , \( 2 a - 3\) , \( 229 a - 723\bigr] \)	${y}^2={x}^{3}+a{x}^{2}+\left(2a-3\right){x}+229a-723$

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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.