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.u2	26520y2	26520.u	26520y	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{11} \cdot 3^{8} \cdot 5^{8} \cdot 13^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$3.497389205$	$1$		$3$	$368640$	$2.239338$	$-389032340685029858/1627263833203125$	$0.97419$	$4.93190$	$[0, 1, 0, -193136, 93646560]$	\(y^2=x^3+x^2-193136x+93646560\)	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[(19, 9486)]$
53040.m2	53040a2	53040.m	53040a	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{11} \cdot 3^{8} \cdot 5^{8} \cdot 13^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$5.188738237$	$1$		$3$	$737280$	$2.239338$	$-389032340685029858/1627263833203125$	$0.97419$	$4.61766$	$[0, -1, 0, -193136, -93646560]$	\(y^2=x^3-x^2-193136x-93646560\)	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[(12986, 1478898)]$
79560.bm2	79560w2	79560.bm	79560w	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{11} \cdot 3^{14} \cdot 5^{8} \cdot 13^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1$	$1$		$1$	$2949120$	$2.788643$	$-389032340685029858/1627263833203125$	$0.97419$	$5.03589$	$[0, 0, 0, -1738227, -2530195346]$	\(y^2=x^3-1738227x-2530195346\)	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[]$
132600.n2	132600ci2	132600.n	132600ci	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{11} \cdot 3^{8} \cdot 5^{14} \cdot 13^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$4.507873337$	$1$		$3$	$8847360$	$3.044056$	$-389032340685029858/1627263833203125$	$0.97419$	$5.07764$	$[0, -1, 0, -4828408, 11715476812]$	\(y^2=x^3-x^2-4828408x+11715476812\)	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[(-2639, 77922)]$
159120.dr2	159120de2	159120.dr	159120de	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{11} \cdot 3^{14} \cdot 5^{8} \cdot 13^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1$	$1$		$1$	$5898240$	$2.788643$	$-389032340685029858/1627263833203125$	$0.97419$	$4.74445$	$[0, 0, 0, -1738227, 2530195346]$	\(y^2=x^3-1738227x+2530195346\)	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[]$
212160.cy2	212160go2	212160.cy	212160go	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{17} \cdot 3^{8} \cdot 5^{8} \cdot 13^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$0.987640822$	$1$		$7$	$5898240$	$2.585911$	$-389032340685029858/1627263833203125$	$0.97419$	$4.43482$	$[0, -1, 0, -772545, 749945025]$	\(y^2=x^3-x^2-772545x+749945025\)	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[(840, 26325)]$
212160.gu2	212160p2	212160.gu	212160p	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{17} \cdot 3^{8} \cdot 5^{8} \cdot 13^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$0.362874186$	$1$		$15$	$5898240$	$2.585911$	$-389032340685029858/1627263833203125$	$0.97419$	$4.43482$	$[0, 1, 0, -772545, -749945025]$	\(y^2=x^3+x^2-772545x-749945025\)	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[(1695, 53040)]$
265200.fm2	265200fm2	265200.fm	265200fm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{11} \cdot 3^{8} \cdot 5^{14} \cdot 13^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1$	$1$		$1$	$17694720$	$3.044056$	$-389032340685029858/1627263833203125$	$0.97419$	$4.79581$	$[0, 1, 0, -4828408, -11715476812]$	\(y^2=x^3+x^2-4828408x-11715476812\)	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[]$
344760.cn2	344760cn2	344760.cn	344760cn	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{11} \cdot 3^{8} \cdot 5^{8} \cdot 13^{9} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1.549302894$	$1$		$5$	$61931520$	$3.521812$	$-389032340685029858/1627263833203125$	$0.97419$	$5.14676$	$[0, 1, 0, -32640040, 205872052400]$	\(y^2=x^3+x^2-32640040x+205872052400\)	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[(1655, 395460)]$
397800.cg2	397800cg2	397800.cg	397800cg	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{11} \cdot 3^{14} \cdot 5^{14} \cdot 13^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1$	$1$		$1$	$70778880$	$3.593361$	$-389032340685029858/1627263833203125$	$0.97419$	$5.15623$	$[0, 0, 0, -43455675, -316274418250]$	\(y^2=x^3-43455675x-316274418250\)	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[]$
450840.z2	450840z2	450840.z	450840z	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{8} \cdot 5^{8} \cdot 13^{3} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$5.572923978$	$1$		$3$	$106168320$	$3.655945$	$-389032340685029858/1627263833203125$	$0.97419$	$5.16434$	$[0, -1, 0, -55816400, 460420447500]$	\(y^2=x^3-x^2-55816400x+460420447500\)	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[(22325, 3215700)]$