Elliptic curve search results

Results (26 matches)

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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
3192.j2	3192l2	3192.j	3192l	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{11} \cdot 3^{6} \cdot 7 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$3.170668923$	$1$		$3$	$2304$	$0.518141$	$112363774/1842183$	$0.91303$	$3.65250$	$[0, -1, 0, 128, 2860]$	\(y^2=x^3-x^2+128x+2860\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[(5, 60)]$
6384.be2	6384l2	6384.be	6384l	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{11} \cdot 3^{6} \cdot 7 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1.269908868$	$1$		$5$	$4608$	$0.518141$	$112363774/1842183$	$0.91303$	$3.36354$	$[0, 1, 0, 128, -2860]$	\(y^2=x^3+x^2+128x-2860\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[(20, 90)]$
9576.b2	9576j2	9576.b	9576j	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( - 2^{11} \cdot 3^{12} \cdot 7 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$4.269226847$	$1$		$3$	$18432$	$1.067448$	$112363774/1842183$	$0.91303$	$3.93384$	$[0, 0, 0, 1149, -78370]$	\(y^2=x^3+1149x-78370\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[(38, 142)]$
19152.m2	19152w2	19152.m	19152w	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( - 2^{11} \cdot 3^{12} \cdot 7 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1.053455245$	$1$		$7$	$36864$	$1.067448$	$112363774/1842183$	$0.91303$	$3.65730$	$[0, 0, 0, 1149, 78370]$	\(y^2=x^3+1149x+78370\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[(23, 342)]$
22344.t2	22344be2	22344.t	22344be	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{11} \cdot 3^{6} \cdot 7^{7} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1$	$1$		$1$	$110592$	$1.491096$	$112363774/1842183$	$0.91303$	$4.10865$	$[0, 1, 0, 6256, -993504]$	\(y^2=x^3+x^2+6256x-993504\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[]$
25536.p2	25536cp2	25536.p	25536cp	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{17} \cdot 3^{6} \cdot 7 \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1$	$1$		$1$	$36864$	$0.864715$	$112363774/1842183$	$0.91303$	$3.31388$	$[0, -1, 0, 511, -23391]$	\(y^2=x^3-x^2+511x-23391\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[]$
25536.cb2	25536bd2	25536.cb	25536bd	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{17} \cdot 3^{6} \cdot 7 \cdot 19^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$0.912851274$	$1$		$23$	$36864$	$0.864715$	$112363774/1842183$	$0.91303$	$3.31388$	$[0, 1, 0, 511, 23391]$	\(y^2=x^3+x^2+511x+23391\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[(-5, 144), (27, 240)]$
44688.d2	44688o2	44688.d	44688o	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{11} \cdot 3^{6} \cdot 7^{7} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$2.414386958$	$1$		$5$	$221184$	$1.491096$	$112363774/1842183$	$0.91303$	$3.84268$	$[0, -1, 0, 6256, 993504]$	\(y^2=x^3-x^2+6256x+993504\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[(-30, 882)]$
60648.bo2	60648p2	60648.bo	60648p	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 7 \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$10.13356233$	$1$		$1$	$829440$	$1.990360$	$112363774/1842183$	$0.91303$	$4.28014$	$[0, 1, 0, 46088, -19893520]$	\(y^2=x^3+x^2+46088x-19893520\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[(86531/11, 25922250/11)]$
67032.cb2	67032x2	67032.cb	67032x	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{11} \cdot 3^{12} \cdot 7^{7} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$3.594172484$	$1$		$3$	$884736$	$2.040401$	$112363774/1842183$	$0.91303$	$4.29563$	$[0, 0, 0, 56301, 26880910]$	\(y^2=x^3+56301x+26880910\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[(-10, 5130)]$
76608.ep2	76608bd2	76608.ep	76608bd	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( - 2^{17} \cdot 3^{12} \cdot 7 \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1$	$4$	$2$	$1$	$294912$	$1.414021$	$112363774/1842183$	$0.91303$	$3.57627$	$[0, 0, 0, 4596, -626960]$	\(y^2=x^3+4596x-626960\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[]$
76608.es2	76608fo2	76608.es	76608fo	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( - 2^{17} \cdot 3^{12} \cdot 7 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$4.631484361$	$1$		$3$	$294912$	$1.414021$	$112363774/1842183$	$0.91303$	$3.57627$	$[0, 0, 0, 4596, 626960]$	\(y^2=x^3+4596x+626960\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[(128, 1820)]$
79800.bx2	79800p2	79800.bx	79800p	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{11} \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1$	$1$		$1$	$294912$	$1.322861$	$112363774/1842183$	$0.91303$	$3.46642$	$[0, 1, 0, 3192, 363888]$	\(y^2=x^3+x^2+3192x+363888\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[]$
121296.bn2	121296t2	121296.bn	121296t	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 7 \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$3.144638468$	$1$		$3$	$1658880$	$1.990360$	$112363774/1842183$	$0.91303$	$4.02670$	$[0, -1, 0, 46088, 19893520]$	\(y^2=x^3-x^2+46088x+19893520\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[(4402, 292410)]$
134064.fh2	134064fc2	134064.fh	134064fc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{11} \cdot 3^{12} \cdot 7^{7} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1$	$1$		$1$	$1769472$	$2.040401$	$112363774/1842183$	$0.91303$	$4.04343$	$[0, 0, 0, 56301, -26880910]$	\(y^2=x^3+56301x-26880910\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[]$
159600.c2	159600gq2	159600.c	159600gq	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{11} \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1.011029556$	$1$		$9$	$589824$	$1.322861$	$112363774/1842183$	$0.91303$	$3.26587$	$[0, -1, 0, 3192, -363888]$	\(y^2=x^3-x^2+3192x-363888\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[(192, 2700)]$
178752.dw2	178752kb2	178752.dw	178752kb	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{17} \cdot 3^{6} \cdot 7^{7} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$2.152753385$	$1$		$5$	$1769472$	$1.837669$	$112363774/1842183$	$0.91303$	$3.74608$	$[0, -1, 0, 25023, -7973055]$	\(y^2=x^3-x^2+25023x-7973055\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[(257, 3920)]$
178752.jx2	178752co2	178752.jx	178752co	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{17} \cdot 3^{6} \cdot 7^{7} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1$	$1$		$1$	$1769472$	$1.837669$	$112363774/1842183$	$0.91303$	$3.74608$	$[0, 1, 0, 25023, 7973055]$	\(y^2=x^3+x^2+25023x+7973055\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[]$
181944.b2	181944a2	181944.b	181944a	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{11} \cdot 3^{12} \cdot 7 \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1$	$4$	$2$	$1$	$6635520$	$2.539665$	$112363774/1842183$	$0.91303$	$4.43615$	$[0, 0, 0, 414789, 537539830]$	\(y^2=x^3+414789x+537539830\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[]$
239400.cj2	239400cj2	239400.cj	239400cj	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{11} \cdot 3^{12} \cdot 5^{6} \cdot 7 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$3.718081659$	$1$		$3$	$2359296$	$1.872166$	$112363774/1842183$	$0.91303$	$3.69115$	$[0, 0, 0, 28725, -9796250]$	\(y^2=x^3+28725x-9796250\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[(494, 11178)]$
363888.bb2	363888bb2	363888.bb	363888bb	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{11} \cdot 3^{12} \cdot 7 \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1$	$4$	$2$	$1$	$13271040$	$2.539665$	$112363774/1842183$	$0.91303$	$4.19601$	$[0, 0, 0, 414789, -537539830]$	\(y^2=x^3+414789x-537539830\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[]$
386232.ba2	386232ba2	386232.ba	386232ba	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \cdot 19 \)	\( - 2^{11} \cdot 3^{6} \cdot 7 \cdot 11^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$22.49929083$	$1$		$1$	$2488320$	$1.717089$	$112363774/1842183$	$0.91303$	$3.40925$	$[0, -1, 0, 15448, -3868500]$	\(y^2=x^3-x^2+15448x-3868500\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[(5334860041/2397, 391991528474470/2397)]$
424536.o2	424536o2	424536.o	424536o	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 7^{7} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$8.887646382$	$1$		$1$	$39813120$	$2.963314$	$112363774/1842183$	$0.91303$	$4.53840$	$[0, -1, 0, 2258296, 6827993964]$	\(y^2=x^3-x^2+2258296x+6827993964\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[(552589/6, 413110711/6)]$
478800.hr2	478800hr2	478800.hr	478800hr	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{11} \cdot 3^{12} \cdot 5^{6} \cdot 7 \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1$	$1$		$1$	$4718592$	$1.872166$	$112363774/1842183$	$0.91303$	$3.49553$	$[0, 0, 0, 28725, 9796250]$	\(y^2=x^3+28725x+9796250\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[]$
485184.m2	485184m2	485184.m	485184m	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{17} \cdot 3^{6} \cdot 7 \cdot 19^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$17.74725621$	$1$		$7$	$13271040$	$2.336933$	$112363774/1842183$	$0.91303$	$3.91799$	$[0, -1, 0, 184351, -159332511]$	\(y^2=x^3-x^2+184351x-159332511\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[(944, 29241), (122321/4, 42838065/4)]$
485184.fv2	485184fv2	485184.fv	485184fv	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{17} \cdot 3^{6} \cdot 7 \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$4.596163286$	$1$		$5$	$13271040$	$2.336933$	$112363774/1842183$	$0.91303$	$3.91799$	$[0, 1, 0, 184351, 159332511]$	\(y^2=x^3+x^2+184351x+159332511\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[(-395, 5004)]$

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