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
50.3-h2	50.3-h	$2$	$5$	\(\Q(\sqrt{26}) \)	$2$	$[2, 0]$	50.3	\( 2 \cdot 5^{2} \)	\( 2^{10} \cdot 5^{4} \)	$2.42325$	$(2,a), (5,a+1)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$					$5$	5B	$1$	\( 2 \)	$3.511784464$	$1.674978377$	2.307174164	\( \frac{111124542183}{16} a - \frac{1133252415859}{32} \)	\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 45 a + 237\) , \( 1808 a + 9221\bigr] \)	${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(45a+237\right){x}+1808a+9221$
50.3-i2	50.3-i	$2$	$5$	\(\Q(\sqrt{26}) \)	$2$	$[2, 0]$	50.3	\( 2 \cdot 5^{2} \)	\( 2^{22} \cdot 5^{4} \)	$2.42325$	$(2,a), (5,a+1)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$					$5$	5B	$1$	\( 2 \cdot 3 \cdot 5 \)	$1$	$1.674978377$	4.927354287	\( \frac{111124542183}{16} a - \frac{1133252415859}{32} \)	\( \bigl[a\) , \( a\) , \( a\) , \( 174 a + 869\) , \( 13933 a + 71030\bigr] \)	${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(174a+869\right){x}+13933a+71030$

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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.