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
14586.i4	14586k1	14586.i	14586k	$4$	$4$	\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{36} \cdot 3 \cdot 11^{4} \cdot 13^{3} \cdot 17^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.7	2B	$3432$	$48$	$0$	$1$	$1$		$3$	$2363904$	$3.234852$	$79374649975090937760383/553856914190911653543936$	$1.10385$	$6.47966$	$[1, 1, 1, 895336, -35804233639]$	\(y^2+xy+y=x^3+x^2+895336x-35804233639\)	2.3.0.a.1, 4.12.0-4.c.1.1, 78.6.0.?, 88.24.0.?, 156.24.0.?, $\ldots$	$[]$
43758.i4	43758h1	43758.i	43758h	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{36} \cdot 3^{7} \cdot 11^{4} \cdot 13^{3} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$1$	$1$		$1$	$18911232$	$3.784157$	$79374649975090937760383/553856914190911653543936$	$1.10385$	$6.43035$	$[1, -1, 0, 8058024, 966722366272]$	\(y^2+xy=x^3-x^2+8058024x+966722366272\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 52.12.0-4.c.1.2, 78.6.0.?, $\ldots$	$[]$
116688.p4	116688y1	116688.p	116688y	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{48} \cdot 3 \cdot 11^{4} \cdot 13^{3} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$3432$	$48$	$0$	$1$	$1$		$1$	$56733696$	$3.927998$	$79374649975090937760383/553856914190911653543936$	$1.10385$	$6.03772$	$[0, 1, 0, 14325376, 2291499603636]$	\(y^2=x^3+x^2+14325376x+2291499603636\)	2.3.0.a.1, 4.12.0-4.c.1.2, 78.6.0.?, 88.24.0.?, 156.24.0.?, $\ldots$	$[]$
160446.a4	160446bn1	160446.a	160446bn	$4$	$4$	\( 2 \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17 \)	\( - 2^{36} \cdot 3 \cdot 11^{10} \cdot 13^{3} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$3432$	$48$	$0$	$10.99254510$	$1$		$1$	$283668480$	$4.433800$	$79374649975090937760383/553856914190911653543936$	$1.10385$	$6.38370$	$[1, 1, 0, 108335654, 47655976651540]$	\(y^2+xy=x^3+x^2+108335654x+47655976651540\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 44.12.0-4.c.1.2, 78.6.0.?, $\ldots$	$[(32204565/29, 252941914175/29)]$
189618.i4	189618bs1	189618.i	189618bs	$4$	$4$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17 \)	\( - 2^{36} \cdot 3 \cdot 11^{4} \cdot 13^{9} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$48.58904939$	$1$		$1$	$397135872$	$4.517326$	$79374649975090937760383/553856914190911653543936$	$1.10385$	$6.37843$	$[1, 1, 0, 151311781, -78662657863395]$	\(y^2+xy=x^3+x^2+151311781x-78662657863395\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 52.12.0-4.c.1.2, 78.6.0.?, $\ldots$	$[(1116837211752656043954163/2100776921, 1177638189863543442637790648108237776/2100776921)]$
247962.bk4	247962bk1	247962.bk	247962bk	$4$	$4$	\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \)	\( - 2^{36} \cdot 3 \cdot 11^{4} \cdot 13^{3} \cdot 17^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$58344$	$48$	$0$	$1$	$9$	$3$	$1$	$680804352$	$4.651459$	$79374649975090937760383/553856914190911653543936$	$1.10385$	$6.37025$	$[1, 0, 0, 258752098, -175908011132220]$	\(y^2+xy=x^3+258752098x-175908011132220\)	2.3.0.a.1, 4.6.0.c.1, 68.12.0-4.c.1.2, 78.6.0.?, 88.12.0.?, $\ldots$	$[]$
350064.bx4	350064bx1	350064.bx	350064bx	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{48} \cdot 3^{7} \cdot 11^{4} \cdot 13^{3} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$1$	$1$		$1$	$453869568$	$4.477303$	$79374649975090937760383/553856914190911653543936$	$1.10385$	$6.03447$	$[0, 0, 0, 128928381, -61870360369790]$	\(y^2=x^3+128928381x-61870360369790\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 52.12.0-4.c.1.1, 78.6.0.?, $\ldots$	$[]$
364650.ci4	364650ci1	364650.ci	364650ci	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{36} \cdot 3 \cdot 5^{6} \cdot 11^{4} \cdot 13^{3} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$17160$	$48$	$0$	$1$	$4$	$2$	$1$	$302579712$	$4.039566$	$79374649975090937760383/553856914190911653543936$	$1.10385$	$5.60507$	$[1, 0, 1, 22383399, -4475573971652]$	\(y^2+xy+y=x^3+22383399x-4475573971652\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 78.6.0.?, 88.12.0.?, $\ldots$	$[]$
466752.bu4	466752bu1	466752.bu	466752bu	$4$	$4$	\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{54} \cdot 3 \cdot 11^{4} \cdot 13^{3} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$3432$	$48$	$0$	$45.32095957$	$1$		$1$	$453869568$	$4.274574$	$79374649975090937760383/553856914190911653543936$	$1.10385$	$5.71511$	$[0, -1, 0, 57301503, 18331939527585]$	\(y^2=x^3-x^2+57301503x+18331939527585\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 78.6.0.?, 88.24.0.?, $\ldots$	$[(-622008251403694920805/486047647, 489359533014337936292848096325900/486047647)]$
466752.eb4	466752eb1	466752.eb	466752eb	$4$	$4$	\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{54} \cdot 3 \cdot 11^{4} \cdot 13^{3} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$3432$	$48$	$0$	$1$	$1$		$1$	$453869568$	$4.274574$	$79374649975090937760383/553856914190911653543936$	$1.10385$	$5.71511$	$[0, 1, 0, 57301503, -18331939527585]$	\(y^2=x^3+x^2+57301503x-18331939527585\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 78.6.0.?, 88.24.0.?, $\ldots$	$[]$
481338.df4	481338df1	481338.df	481338df	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \cdot 17 \)	\( - 2^{36} \cdot 3^{7} \cdot 11^{10} \cdot 13^{3} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$1$	$1$		$1$	$2269347840$	$4.983101$	$79374649975090937760383/553856914190911653543936$	$1.10385$	$6.35148$	$[1, -1, 1, 975020881, -1286710394570697]$	\(y^2+xy+y=x^3-x^2+975020881x-1286710394570697\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 78.6.0.?, 88.12.0.?, $\ldots$	$[]$