Elliptic curve search results

Results (15 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
17160.a1	17160b4	17160.a	17160b	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$1$	$1$		$1$	$688128$	$2.587345$	$912446049969377120252018/17177299425$	$1.01331$	$6.44029$	$[0, -1, 0, -25660856, 50041356300]$	\(y^2=x^3-x^2-25660856x+50041356300\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$	$[]$
34320.bw1	34320t4	34320.bw	34320t	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$1$	$1$		$1$	$1376256$	$2.587345$	$912446049969377120252018/17177299425$	$1.01331$	$6.01284$	$[0, 1, 0, -25660856, -50041356300]$	\(y^2=x^3+x^2-25660856x-50041356300\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 104.12.0.?, $\ldots$	$[]$
51480.bb1	51480bu4	51480.bb	51480bu	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{11} \cdot 3^{13} \cdot 5^{2} \cdot 11 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$3432$	$48$	$0$	$1$	$16$	$2$	$1$	$5505024$	$3.136654$	$912446049969377120252018/17177299425$	$1.01331$	$6.39571$	$[0, 0, 0, -230947707, -1350885672394]$	\(y^2=x^3-230947707x-1350885672394\)	2.3.0.a.1, 4.12.0-4.c.1.2, 264.24.0.?, 312.24.0.?, 1144.24.0.?, $\ldots$	$[]$
85800.cy1	85800cp4	85800.cy	85800cp	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{8} \cdot 11 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$17160$	$48$	$0$	$4.895653091$	$1$		$1$	$16515072$	$3.392067$	$912446049969377120252018/17177299425$	$1.01331$	$6.37791$	$[0, 1, 0, -641521408, 6253886494688]$	\(y^2=x^3+x^2-641521408x+6253886494688\)	2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 264.12.0.?, 312.12.0.?, $\ldots$	$[(59717/2, 515025/2)]$
102960.eq1	102960bi4	102960.eq	102960bi	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{11} \cdot 3^{13} \cdot 5^{2} \cdot 11 \cdot 13^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$3432$	$48$	$0$	$1$	$4$	$2$	$3$	$11010048$	$3.136654$	$912446049969377120252018/17177299425$	$1.01331$	$6.01162$	$[0, 0, 0, -230947707, 1350885672394]$	\(y^2=x^3-230947707x+1350885672394\)	2.3.0.a.1, 4.12.0-4.c.1.1, 264.24.0.?, 312.24.0.?, 1144.24.0.?, $\ldots$	$[]$
137280.dk1	137280cu4	137280.dk	137280cu	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{17} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$19.91955825$	$4$	$2$	$1$	$11010048$	$2.933918$	$912446049969377120252018/17177299425$	$1.01331$	$5.65978$	$[0, -1, 0, -102643425, -400228206975]$	\(y^2=x^3-x^2-102643425x-400228206975\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 44.12.0-4.c.1.2, 104.12.0.?, $\ldots$	$[(1465034695/303, 39585672299600/303)]$
137280.fu1	137280dw3	137280.fu	137280dw	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{17} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 13^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3432$	$48$	$0$	$4.285761096$	$1$		$13$	$11010048$	$2.933918$	$912446049969377120252018/17177299425$	$1.01331$	$5.65978$	$[0, 1, 0, -102643425, 400228206975]$	\(y^2=x^3+x^2-102643425x+400228206975\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$	$[(5850, 135), (5913, 8496)]$
171600.k1	171600hb4	171600.k	171600hb	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{8} \cdot 11 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$17160$	$48$	$0$	$1$	$4$	$2$	$1$	$33030144$	$3.392067$	$912446049969377120252018/17177299425$	$1.01331$	$6.01113$	$[0, -1, 0, -641521408, -6253886494688]$	\(y^2=x^3-x^2-641521408x-6253886494688\)	2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 264.12.0.?, 312.12.0.?, $\ldots$	$[]$
188760.ba1	188760bn4	188760.ba	188760bn	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 11^{7} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$3432$	$48$	$0$	$82.21584678$	$1$		$1$	$82575360$	$3.786293$	$912446049969377120252018/17177299425$	$1.01331$	$6.35339$	$[0, -1, 0, -3104963616, -66592625380884]$	\(y^2=x^3-x^2-3104963616x-66592625380884\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 132.12.0.?, 264.24.0.?, $\ldots$	$[(4515106761781519631313171422005163017/5775790708967097, 8600653077509627515073688490657581332626524444117824438/5775790708967097)]$
223080.cb1	223080be3	223080.cb	223080be	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 13^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$3432$	$48$	$0$	$1$	$16$	$2$	$1$	$115605504$	$3.869820$	$912446049969377120252018/17177299425$	$1.01331$	$6.34859$	$[0, -1, 0, -4336684720, 109923513052300]$	\(y^2=x^3-x^2-4336684720x+109923513052300\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 156.12.0.?, 264.24.0.?, $\ldots$	$[]$
257400.ej1	257400ej4	257400.ej	257400ej	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{11} \cdot 3^{13} \cdot 5^{8} \cdot 11 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$17160$	$48$	$0$	$70.17004512$	$1$		$1$	$132120576$	$3.941372$	$912446049969377120252018/17177299425$	$1.01331$	$6.34459$	$[0, 0, 0, -5773692675, -168860709049250]$	\(y^2=x^3-5773692675x-168860709049250\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 264.12.0.?, 312.12.0.?, $\ldots$	$[(11369100077086684783762867367670/8982155076133, 30880133135199767387278060535494091699822740550/8982155076133)]$
377520.dy1	377520dy3	377520.dy	377520dy	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 11^{7} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$3432$	$48$	$0$	$2.991993361$	$1$		$5$	$165150720$	$3.786293$	$912446049969377120252018/17177299425$	$1.01331$	$6.01045$	$[0, 1, 0, -3104963616, 66592625380884]$	\(y^2=x^3+x^2-3104963616x+66592625380884\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 132.12.0.?, 264.24.0.?, $\ldots$	$[(32172, 342)]$
411840.i1	411840i4	411840.i	411840i	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{17} \cdot 3^{13} \cdot 5^{2} \cdot 11 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$3432$	$48$	$0$	$1$	$1$		$1$	$88080384$	$3.483227$	$912446049969377120252018/17177299425$	$1.01331$	$5.68869$	$[0, 0, 0, -923790828, -10807085379152]$	\(y^2=x^3-923790828x-10807085379152\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 132.12.0.?, 264.24.0.?, $\ldots$	$[]$
411840.gi1	411840gi3	411840.gi	411840gi	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{17} \cdot 3^{13} \cdot 5^{2} \cdot 11 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$3432$	$48$	$0$	$1$	$4$	$2$	$1$	$88080384$	$3.483227$	$912446049969377120252018/17177299425$	$1.01331$	$5.68869$	$[0, 0, 0, -923790828, 10807085379152]$	\(y^2=x^3-923790828x+10807085379152\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 132.12.0.?, 264.24.0.?, $\ldots$	$[]$
446160.gw1	446160gw4	446160.gw	446160gw	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 13^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$3432$	$48$	$0$	$4.632856628$	$4$	$2$	$3$	$231211008$	$3.869820$	$912446049969377120252018/17177299425$	$1.01331$	$6.01031$	$[0, 1, 0, -4336684720, -109923513052300]$	\(y^2=x^3+x^2-4336684720x-109923513052300\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 156.12.0.?, 264.24.0.?, $\ldots$	$[(76223, 1542294)]$