Elliptic curve search results

Results (20 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
4290.o1	4290p2	4290.o	4290p	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{3} \cdot 3^{10} \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$0.300031079$	$1$		$8$	$7680$	$1.006994$	$175654575624148921/21954418200$	$0.95788$	$4.74738$	$[1, 0, 1, -11668, 484058]$	\(y^2+xy+y=x^3-11668x+484058\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[(64, -10)]$
12870.bk1	12870bn2	12870.bk	12870bn	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{3} \cdot 3^{16} \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$1$		$0$	$61440$	$1.556299$	$175654575624148921/21954418200$	$0.95788$	$4.89281$	$[1, -1, 1, -105008, -13069573]$	\(y^2+xy+y=x^3-x^2-105008x-13069573\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[ ]$
21450.bw1	21450bs2	21450.bw	21450bs	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{3} \cdot 3^{10} \cdot 5^{8} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$2.226882836$	$1$		$4$	$184320$	$1.811712$	$175654575624148921/21954418200$	$0.95788$	$4.94952$	$[1, 1, 1, -291688, 60507281]$	\(y^2+xy+y=x^3+x^2-291688x+60507281\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[(315, -83)]$
34320.t1	34320bi2	34320.t	34320bi	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{15} \cdot 3^{10} \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.700142$	$175654575624148921/21954418200$	$0.95788$	$4.59857$	$[0, -1, 0, -186680, -30979728]$	\(y^2=x^3-x^2-186680x-30979728\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[ ]$
47190.cv1	47190ct2	47190.cv	47190ct	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{3} \cdot 3^{10} \cdot 5^{2} \cdot 11^{7} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1.504933167$	$1$		$6$	$921600$	$2.205940$	$175654575624148921/21954418200$	$0.95788$	$5.02648$	$[1, 0, 0, -1411770, -645693300]$	\(y^2+xy=x^3-1411770x-645693300\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[(-690, 540)]$
55770.cr1	55770cm2	55770.cr	55770cm	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{3} \cdot 3^{10} \cdot 5^{2} \cdot 11 \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$0.554091922$	$1$		$8$	$1290240$	$2.289467$	$175654575624148921/21954418200$	$0.95788$	$5.04136$	$[1, 0, 0, -1971811, 1065447785]$	\(y^2+xy=x^3-1971811x+1065447785\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[(716, 4205)]$
64350.bb1	64350v2	64350.bb	64350v	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{3} \cdot 3^{16} \cdot 5^{8} \cdot 11 \cdot 13^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$16.32664170$	$1$		$6$	$1474560$	$2.361019$	$175654575624148921/21954418200$	$0.95788$	$5.05375$	$[1, -1, 0, -2625192, -1636321784]$	\(y^2+xy=x^3-x^2-2625192x-1636321784\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[(-937, 59), (7955/2, 245737/2)]$
102960.bn1	102960du2	102960.bn	102960du	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{15} \cdot 3^{16} \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$2.491194831$	$1$		$5$	$1474560$	$2.249447$	$175654575624148921/21954418200$	$0.95788$	$4.73196$	$[0, 0, 0, -1680123, 838132778]$	\(y^2=x^3-1680123x+838132778\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[(703, 2106)]$
137280.m1	137280gz2	137280.m	137280gz	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{21} \cdot 3^{10} \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1.185859896$	$1$		$7$	$1474560$	$2.046715$	$175654575624148921/21954418200$	$0.95788$	$4.41124$	$[0, -1, 0, -746721, 248584545]$	\(y^2=x^3-x^2-746721x+248584545\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[(9, 15552)]$
137280.ex1	137280bf2	137280.ex	137280bf	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{21} \cdot 3^{10} \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$1$		$1$	$1474560$	$2.046715$	$175654575624148921/21954418200$	$0.95788$	$4.41124$	$[0, 1, 0, -746721, -248584545]$	\(y^2=x^3+x^2-746721x-248584545\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[ ]$
141570.n1	141570dx2	141570.n	141570dx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{3} \cdot 3^{16} \cdot 5^{2} \cdot 11^{7} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1.251843989$	$1$		$6$	$7372800$	$2.755249$	$175654575624148921/21954418200$	$0.95788$	$5.11666$	$[1, -1, 0, -12705930, 17433719100]$	\(y^2+xy=x^3-x^2-12705930x+17433719100\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[(2005, 2930)]$
167310.cb1	167310dk2	167310.cb	167310dk	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{3} \cdot 3^{16} \cdot 5^{2} \cdot 11 \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$4$	$2$	$0$	$10321920$	$2.838776$	$175654575624148921/21954418200$	$0.95788$	$5.12892$	$[1, -1, 0, -17746299, -28767090195]$	\(y^2+xy=x^3-x^2-17746299x-28767090195\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[ ]$
171600.fs1	171600bw2	171600.fs	171600bw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{15} \cdot 3^{10} \cdot 5^{8} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$4.576488944$	$1$		$3$	$4423680$	$2.504860$	$175654575624148921/21954418200$	$0.95788$	$4.78570$	$[0, 1, 0, -4667008, -3881800012]$	\(y^2=x^3+x^2-4667008x-3881800012\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[(4388, 245250)]$
210210.l1	210210fh2	210210.l	210210fh	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{3} \cdot 3^{10} \cdot 5^{2} \cdot 7^{6} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$3.226959309$	$1$		$0$	$2949120$	$1.979950$	$175654575624148921/21954418200$	$0.95788$	$4.19250$	$[1, 1, 0, -571708, -166603688]$	\(y^2+xy=x^3+x^2-571708x-166603688\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[(-1761/2, 1271/2)]$
235950.bc1	235950bc2	235950.bc	235950bc	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( 2^{3} \cdot 3^{10} \cdot 5^{8} \cdot 11^{7} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$19.22055101$	$1$		$0$	$22118400$	$3.010662$	$175654575624148921/21954418200$	$0.95788$	$5.15313$	$[1, 1, 0, -35294250, -80711662500]$	\(y^2+xy=x^3+x^2-35294250x-80711662500\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[(10881709555/629, 1102680248933690/629)]$
278850.ba1	278850ba2	278850.ba	278850ba	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( 2^{3} \cdot 3^{10} \cdot 5^{8} \cdot 11 \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$8.796412580$	$1$		$0$	$30965760$	$3.094189$	$175654575624148921/21954418200$	$0.95788$	$5.16441$	$[1, 1, 0, -49295275, 133180973125]$	\(y^2+xy=x^3+x^2-49295275x+133180973125\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[(147175/6, -280775/6)]$
377520.co1	377520co2	377520.co	377520co	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{15} \cdot 3^{10} \cdot 5^{2} \cdot 11^{7} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$1$		$1$	$22118400$	$2.899090$	$175654575624148921/21954418200$	$0.95788$	$4.86026$	$[0, -1, 0, -22588320, 41324371200]$	\(y^2=x^3-x^2-22588320x+41324371200\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[ ]$
411840.jv1	411840jv2	411840.jv	411840jv	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{21} \cdot 3^{16} \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$1$		$1$	$11796480$	$2.596020$	$175654575624148921/21954418200$	$0.95788$	$4.54624$	$[0, 0, 0, -6720492, 6705062224]$	\(y^2=x^3-6720492x+6705062224\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[ ]$
411840.ks1	411840ks2	411840.ks	411840ks	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{21} \cdot 3^{16} \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$4$	$2$	$1$	$11796480$	$2.596020$	$175654575624148921/21954418200$	$0.95788$	$4.54624$	$[0, 0, 0, -6720492, -6705062224]$	\(y^2=x^3-6720492x-6705062224\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[ ]$
446160.bc1	446160bc2	446160.bc	446160bc	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{15} \cdot 3^{10} \cdot 5^{2} \cdot 11 \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$8.805226796$	$1$		$1$	$30965760$	$2.982616$	$175654575624148921/21954418200$	$0.95788$	$4.87490$	$[0, -1, 0, -31548976, -68188658240]$	\(y^2=x^3-x^2-31548976x-68188658240\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[(299621/2, 163529301/2)]$

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