Elliptic curve search results

Results (11 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
26520.b2	26520o2	26520.b	26520o	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$0.903540676$	$1$		$7$	$14336$	$0.609711$	$-592143556/10989225$	$0.96626$	$3.00710$	$[0, -1, 0, -176, -5124]$	\(y^2=x^3-x^2-176x-5124\)	2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 4420.12.0.?, 8840.24.0.?, $\ldots$	$[(86, 780)]$
53040.cc2	53040u2	53040.cc	53040u	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$0.849295493$	$1$		$7$	$28672$	$0.609711$	$-592143556/10989225$	$0.96626$	$2.81551$	$[0, 1, 0, -176, 5124]$	\(y^2=x^3+x^2-176x+5124\)	2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 4420.12.0.?, 8840.24.0.?, $\ldots$	$[(-8, 78)]$
79560.bd2	79560bd2	79560.bd	79560bd	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.12	2B	$8840$	$48$	$0$	$1.137322890$	$1$		$7$	$114688$	$1.159018$	$-592143556/10989225$	$0.96626$	$3.29849$	$[0, 0, 0, -1587, 139934]$	\(y^2=x^3-1587x+139934\)	2.3.0.a.1, 4.12.0-4.a.1.1, 4420.24.0.?, 8840.48.0.?	$[(55, 468)]$
132600.cg2	132600br2	132600.cg	132600br	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$2.765714784$	$1$		$3$	$344064$	$1.414431$	$-592143556/10989225$	$0.96626$	$3.41548$	$[0, 1, 0, -4408, -649312]$	\(y^2=x^3+x^2-4408x-649312\)	2.3.0.a.1, 4.6.0.a.1, 60.12.0-4.a.1.1, 2652.12.0.?, 4420.12.0.?, $\ldots$	$[(868, 25500)]$
159120.ee2	159120dl2	159120.ee	159120dl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.12	2B	$8840$	$48$	$0$	$3.972962813$	$1$		$3$	$229376$	$1.159018$	$-592143556/10989225$	$0.96626$	$3.10760$	$[0, 0, 0, -1587, -139934]$	\(y^2=x^3-1587x-139934\)	2.3.0.a.1, 4.12.0-4.a.1.1, 4420.24.0.?, 8840.48.0.?	$[(1115, 37206)]$
212160.dh2	212160cu2	212160.dh	212160cu	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1.395503605$	$1$		$7$	$229376$	$0.956285$	$-592143556/10989225$	$0.96626$	$2.83636$	$[0, -1, 0, -705, 41697]$	\(y^2=x^3-x^2-705x+41697\)	2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 4420.12.0.?, 8840.24.0.?, $\ldots$	$[(27, 204)]$
212160.gl2	212160ek2	212160.gl	212160ek	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1.246305810$	$1$		$7$	$229376$	$0.956285$	$-592143556/10989225$	$0.96626$	$2.83636$	$[0, 1, 0, -705, -41697]$	\(y^2=x^3+x^2-705x-41697\)	2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 4420.12.0.?, 8840.24.0.?, $\ldots$	$[(51, 240)]$
265200.v2	265200v2	265200.v	265200v	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 13^{2} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1.454394055$	$1$		$21$	$688128$	$1.414431$	$-592143556/10989225$	$0.96626$	$3.22591$	$[0, -1, 0, -4408, 649312]$	\(y^2=x^3-x^2-4408x+649312\)	2.3.0.a.1, 4.6.0.a.1, 60.12.0-4.a.1.1, 2652.12.0.?, 4420.12.0.?, $\ldots$	$[(-18, 850), (22, 750)]$
344760.bd2	344760bd2	344760.bd	344760bd	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13^{8} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$2408448$	$1.892185$	$-592143556/10989225$	$0.96626$	$3.60916$	$[0, -1, 0, -29800, -11376548]$	\(y^2=x^3-x^2-29800x-11376548\)	2.3.0.a.1, 4.6.0.a.1, 156.12.0.?, 1020.12.0.?, 4420.12.0.?, $\ldots$	$[]$
397800.ct2	397800ct2	397800.ct	397800ct	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$8840$	$48$	$0$	$1.510943261$	$1$		$7$	$2752512$	$1.963736$	$-592143556/10989225$	$0.96626$	$3.63570$	$[0, 0, 0, -39675, 17491750]$	\(y^2=x^3-39675x+17491750\)	2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.1, 884.12.0.?, 4420.24.0.?, $\ldots$	$[(-85, 4500)]$
450840.cs2	450840cs2	450840.cs	450840cs	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$5.585248079$	$1$		$1$	$4128768$	$2.026318$	$-592143556/10989225$	$0.96626$	$3.65843$	$[0, 1, 0, -50960, -25479792]$	\(y^2=x^3+x^2-50960x-25479792\)	2.3.0.a.1, 4.6.0.a.1, 204.12.0.?, 780.12.0.?, 4420.12.0.?, $\ldots$	$[(27271/5, 4362744/5)]$