Elliptic curve search results

Results (27 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
1110.n2	1110n1	1110.n	1110n	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 37 \)	\( - 2^{33} \cdot 3^{6} \cdot 5^{3} \cdot 37 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$4440$	$16$	$0$	$1$	$1$		$2$	$7920$	$1.865429$	$-64144540676215729729/28962038218752000$	$1.01937$	$6.58637$	$[1, 0, 0, -83396, -12375024]$	\(y^2+xy=x^3-83396x-12375024\)	3.8.0-3.a.1.2, 1480.2.0.?, 4440.16.0.?	$[ ]$
3330.h2	3330k1	3330.h	3330k	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{33} \cdot 3^{12} \cdot 5^{3} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$4440$	$16$	$0$	$1$	$1$		$0$	$63360$	$2.414734$	$-64144540676215729729/28962038218752000$	$1.01937$	$6.50695$	$[1, -1, 0, -750564, 334125648]$	\(y^2+xy=x^3-x^2-750564x+334125648\)	3.8.0-3.a.1.1, 1480.2.0.?, 4440.16.0.?	$[ ]$
5550.g2	5550b1	5550.g	5550b	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{33} \cdot 3^{6} \cdot 5^{9} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4440$	$16$	$0$	$10.51803309$	$1$		$2$	$190080$	$2.670147$	$-64144540676215729729/28962038218752000$	$1.01937$	$6.47691$	$[1, 1, 0, -2084900, -1546878000]$	\(y^2+xy=x^3+x^2-2084900x-1546878000\)	3.4.0.a.1, 15.8.0-3.a.1.2, 888.8.0.?, 1480.2.0.?, 4440.16.0.?	$[(959795, 939822440)]$
8880.g2	8880n1	8880.g	8880n	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5 \cdot 37 \)	\( - 2^{45} \cdot 3^{6} \cdot 5^{3} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4440$	$16$	$0$	$4.954976130$	$1$		$2$	$190080$	$2.558575$	$-64144540676215729729/28962038218752000$	$1.01937$	$5.99481$	$[0, -1, 0, -1334336, 792001536]$	\(y^2=x^3-x^2-1334336x+792001536\)	3.4.0.a.1, 12.8.0-3.a.1.1, 1480.2.0.?, 4440.16.0.?	$[(1178, 29214)]$
16650.ch2	16650bx1	16650.ch	16650bx	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{33} \cdot 3^{12} \cdot 5^{9} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4440$	$16$	$0$	$0.320351728$	$1$		$8$	$1520640$	$3.219452$	$-64144540676215729729/28962038218752000$	$1.01937$	$6.42301$	$[1, -1, 1, -18764105, 41746941897]$	\(y^2+xy+y=x^3-x^2-18764105x+41746941897\)	3.4.0.a.1, 15.8.0-3.a.1.1, 888.8.0.?, 1480.2.0.?, 4440.16.0.?	$[(7559, 572220)]$
26640.bu2	26640bz1	26640.bu	26640bz	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{45} \cdot 3^{12} \cdot 5^{3} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4440$	$16$	$0$	$6.852354933$	$1$		$0$	$1520640$	$3.107880$	$-64144540676215729729/28962038218752000$	$1.01937$	$5.99537$	$[0, 0, 0, -12009027, -21372032446]$	\(y^2=x^3-12009027x-21372032446\)	3.4.0.a.1, 12.8.0-3.a.1.2, 1480.2.0.?, 4440.16.0.?	$[(9495937/17, 29090119680/17)]$
35520.z2	35520l1	35520.z	35520l	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5 \cdot 37 \)	\( - 2^{51} \cdot 3^{6} \cdot 5^{3} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4440$	$16$	$0$	$1$	$1$		$0$	$1520640$	$2.905148$	$-64144540676215729729/28962038218752000$	$1.01937$	$5.59858$	$[0, -1, 0, -5337345, -6330674943]$	\(y^2=x^3-x^2-5337345x-6330674943\)	3.4.0.a.1, 24.8.0-3.a.1.2, 1480.2.0.?, 2220.8.0.?, 4440.16.0.?	$[ ]$
35520.cw2	35520cu1	35520.cw	35520cu	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5 \cdot 37 \)	\( - 2^{51} \cdot 3^{6} \cdot 5^{3} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4440$	$16$	$0$	$1$	$1$		$0$	$1520640$	$2.905148$	$-64144540676215729729/28962038218752000$	$1.01937$	$5.59858$	$[0, 1, 0, -5337345, 6330674943]$	\(y^2=x^3+x^2-5337345x+6330674943\)	3.4.0.a.1, 24.8.0-3.a.1.4, 1110.8.0.?, 1480.2.0.?, 4440.16.0.?	$[ ]$
41070.o2	41070l1	41070.o	41070l	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \)	\( - 2^{33} \cdot 3^{6} \cdot 5^{3} \cdot 37^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4440$	$16$	$0$	$3.399284372$	$1$		$2$	$10834560$	$3.670887$	$-64144540676215729729/28962038218752000$	$1.01937$	$6.38706$	$[1, 0, 1, -114169153, -626489583244]$	\(y^2+xy+y=x^3-114169153x-626489583244\)	3.4.0.a.1, 111.8.0.?, 120.8.0.?, 1480.2.0.?, 4440.16.0.?	$[(13360, 475892)]$
44400.ci2	44400cg1	44400.ci	44400cg	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{45} \cdot 3^{6} \cdot 5^{9} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4440$	$16$	$0$	$1.640557255$	$1$		$4$	$4561920$	$3.363293$	$-64144540676215729729/28962038218752000$	$1.01937$	$5.99559$	$[0, 1, 0, -33358408, 98933475188]$	\(y^2=x^3+x^2-33358408x+98933475188\)	3.4.0.a.1, 60.8.0-3.a.1.2, 888.8.0.?, 1480.2.0.?, 4440.16.0.?	$[(14174, 1572864)]$
54390.cg2	54390ch1	54390.cg	54390ch	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{33} \cdot 3^{6} \cdot 5^{3} \cdot 7^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$31080$	$16$	$0$	$0.335663450$	$1$		$8$	$2993760$	$2.838383$	$-64144540676215729729/28962038218752000$	$1.01937$	$5.30633$	$[1, 1, 1, -4086405, 4240546827]$	\(y^2+xy+y=x^3+x^2-4086405x+4240546827\)	3.4.0.a.1, 21.8.0-3.a.1.1, 1480.2.0.?, 4440.8.0.?, 31080.16.0.?	$[(967, 34076)]$
106560.bh2	106560be1	106560.bh	106560be	$2$	$3$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{51} \cdot 3^{12} \cdot 5^{3} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4440$	$16$	$0$	$1$	$1$		$0$	$12165120$	$3.454456$	$-64144540676215729729/28962038218752000$	$1.01937$	$5.63667$	$[0, 0, 0, -48036108, 170976259568]$	\(y^2=x^3-48036108x+170976259568\)	3.4.0.a.1, 24.8.0-3.a.1.1, 1480.2.0.?, 2220.8.0.?, 4440.16.0.?	$[ ]$
106560.cg2	106560eg1	106560.cg	106560eg	$2$	$3$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{51} \cdot 3^{12} \cdot 5^{3} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4440$	$16$	$0$	$23.69738683$	$1$		$0$	$12165120$	$3.454456$	$-64144540676215729729/28962038218752000$	$1.01937$	$5.63667$	$[0, 0, 0, -48036108, -170976259568]$	\(y^2=x^3-48036108x-170976259568\)	3.4.0.a.1, 24.8.0-3.a.1.3, 1110.8.0.?, 1480.2.0.?, 4440.16.0.?	$[(32633550635634/59291, 89177034527743148032/59291)]$
123210.ch2	123210cu1	123210.ch	123210cu	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \)	\( - 2^{33} \cdot 3^{12} \cdot 5^{3} \cdot 37^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4440$	$16$	$0$	$0.936888555$	$1$		$2$	$86676480$	$4.220192$	$-64144540676215729729/28962038218752000$	$1.01937$	$6.35078$	$[1, -1, 1, -1027522373, 16915218747581]$	\(y^2+xy+y=x^3-x^2-1027522373x+16915218747581\)	3.4.0.a.1, 111.8.0.?, 120.8.0.?, 1480.2.0.?, 4440.16.0.?	$[(13311, 2358976)]$
133200.ct2	133200ch1	133200.ct	133200ch	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{45} \cdot 3^{12} \cdot 5^{9} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4440$	$16$	$0$	$24.59996787$	$1$		$0$	$36495360$	$3.912601$	$-64144540676215729729/28962038218752000$	$1.01937$	$5.99600$	$[0, 0, 0, -300225675, -2671504055750]$	\(y^2=x^3-300225675x-2671504055750\)	3.4.0.a.1, 60.8.0-3.a.1.1, 888.8.0.?, 1480.2.0.?, 4440.16.0.?	$[(1685094574010/8297, 1231211391046769250/8297)]$
134310.x2	134310by1	134310.x	134310by	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 37 \)	\( - 2^{33} \cdot 3^{6} \cdot 5^{3} \cdot 11^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$48840$	$16$	$0$	$1$	$1$		$0$	$10692000$	$3.064377$	$-64144540676215729729/28962038218752000$	$1.01937$	$5.12976$	$[1, 0, 1, -10090919, 16461066026]$	\(y^2+xy+y=x^3-10090919x+16461066026\)	3.4.0.a.1, 33.8.0-3.a.1.2, 1480.2.0.?, 4440.8.0.?, 48840.16.0.?	$[ ]$
163170.i2	163170ei1	163170.i	163170ei	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{33} \cdot 3^{12} \cdot 5^{3} \cdot 7^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$31080$	$16$	$0$	$1$	$25$	$5$	$0$	$23950080$	$3.387688$	$-64144540676215729729/28962038218752000$	$1.01937$	$5.36982$	$[1, -1, 0, -36777645, -114531541979]$	\(y^2+xy=x^3-x^2-36777645x-114531541979\)	3.4.0.a.1, 21.8.0-3.a.1.2, 1480.2.0.?, 4440.8.0.?, 31080.16.0.?	$[ ]$
177600.cf2	177600ds1	177600.cf	177600ds	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{51} \cdot 3^{6} \cdot 5^{9} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4440$	$16$	$0$	$3.542150426$	$1$		$0$	$36495360$	$3.709869$	$-64144540676215729729/28962038218752000$	$1.01937$	$5.65203$	$[0, -1, 0, -133433633, 791601235137]$	\(y^2=x^3-x^2-133433633x+791601235137\)	3.4.0.a.1, 120.8.0.?, 222.8.0.?, 1480.2.0.?, 4440.16.0.?	$[(1645253/13, 1415577600/13)]$
177600.hj2	177600gg1	177600.hj	177600gg	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( - 2^{51} \cdot 3^{6} \cdot 5^{9} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4440$	$16$	$0$	$8.868842828$	$1$		$0$	$36495360$	$3.709869$	$-64144540676215729729/28962038218752000$	$1.01937$	$5.65203$	$[0, 1, 0, -133433633, -791601235137]$	\(y^2=x^3+x^2-133433633x-791601235137\)	3.4.0.a.1, 120.8.0.?, 444.8.0.?, 1480.2.0.?, 4440.16.0.?	$[(886057/7, 564516000/7)]$
187590.bj2	187590bv1	187590.bj	187590bv	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 37 \)	\( - 2^{33} \cdot 3^{6} \cdot 5^{3} \cdot 13^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$57720$	$16$	$0$	$5.302939267$	$1$		$2$	$18247680$	$3.147903$	$-64144540676215729729/28962038218752000$	$1.01937$	$5.07116$	$[1, 0, 1, -14093928, -27173833802]$	\(y^2+xy+y=x^3-14093928x-27173833802\)	3.4.0.a.1, 39.8.0-3.a.1.1, 1480.2.0.?, 4440.8.0.?, 57720.16.0.?	$[(16784, 2104530)]$
205350.da2	205350bz1	205350.da	205350bz	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 37^{2} \)	\( - 2^{33} \cdot 3^{6} \cdot 5^{9} \cdot 37^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4440$	$16$	$0$	$1$	$1$		$0$	$260029440$	$4.475609$	$-64144540676215729729/28962038218752000$	$1.01937$	$6.33613$	$[1, 1, 1, -2854228813, -78311197905469]$	\(y^2+xy+y=x^3+x^2-2854228813x-78311197905469\)	3.4.0.a.1, 24.8.0-3.a.1.8, 555.8.0.?, 1480.2.0.?, 4440.16.0.?	$[ ]$
271950.ef2	271950ef1	271950.ef	271950ef	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \)	\( - 2^{33} \cdot 3^{6} \cdot 5^{9} \cdot 7^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$31080$	$16$	$0$	$5.584343911$	$1$		$2$	$71850240$	$3.643101$	$-64144540676215729729/28962038218752000$	$1.01937$	$5.39555$	$[1, 0, 1, -102160126, 530272673648]$	\(y^2+xy+y=x^3-102160126x+530272673648\)	3.4.0.a.1, 105.8.0.?, 1480.2.0.?, 4440.8.0.?, 6216.8.0.?, $\ldots$	$[(1762, 595556)]$
320790.cc2	320790cc1	320790.cc	320790cc	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 37 \)	\( - 2^{33} \cdot 3^{6} \cdot 5^{3} \cdot 17^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$75480$	$16$	$0$	$1.883879493$	$1$		$4$	$39916800$	$3.282036$	$-64144540676215729729/28962038218752000$	$1.01937$	$4.98351$	$[1, 1, 1, -24101450, -60774391465]$	\(y^2+xy+y=x^3+x^2-24101450x-60774391465\)	3.4.0.a.1, 51.8.0-3.a.1.2, 1480.2.0.?, 4440.8.0.?, 75480.16.0.?	$[(27273, 4410043)]$
328560.bb2	328560bb1	328560.bb	328560bb	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5 \cdot 37^{2} \)	\( - 2^{45} \cdot 3^{6} \cdot 5^{3} \cdot 37^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4440$	$16$	$0$	$2.443734359$	$1$		$0$	$260029440$	$4.364037$	$-64144540676215729729/28962038218752000$	$1.01937$	$5.99629$	$[0, -1, 0, -1826706440, 40095333327600]$	\(y^2=x^3-x^2-1826706440x+40095333327600\)	3.4.0.a.1, 120.8.0.?, 444.8.0.?, 1480.2.0.?, 4440.16.0.?	$[(736660/9, 3588751360/9)]$
400710.d2	400710d1	400710.d	400710d	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 37 \)	\( - 2^{33} \cdot 3^{6} \cdot 5^{3} \cdot 19^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$84360$	$16$	$0$	$1$	$4$	$2$	$0$	$56453760$	$3.337646$	$-64144540676215729729/28962038218752000$	$1.01937$	$4.94931$	$[1, 1, 0, -30105963, 84820077693]$	\(y^2+xy=x^3+x^2-30105963x+84820077693\)	3.4.0.a.1, 57.8.0-3.a.1.1, 1480.2.0.?, 4440.8.0.?, 84360.16.0.?	$[ ]$
402930.ek2	402930ek1	402930.ek	402930ek	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 37 \)	\( - 2^{33} \cdot 3^{12} \cdot 5^{3} \cdot 11^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$48840$	$16$	$0$	$1$	$1$		$0$	$85536000$	$3.613682$	$-64144540676215729729/28962038218752000$	$1.01937$	$5.20384$	$[1, -1, 1, -90818267, -444448782709]$	\(y^2+xy+y=x^3-x^2-90818267x-444448782709\)	3.4.0.a.1, 33.8.0-3.a.1.1, 1480.2.0.?, 4440.8.0.?, 48840.16.0.?	$[ ]$
435120.hd2	435120hd1	435120.hd	435120hd	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{45} \cdot 3^{6} \cdot 5^{3} \cdot 7^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$31080$	$16$	$0$	$1$	$1$		$0$	$71850240$	$3.531528$	$-64144540676215729729/28962038218752000$	$1.01937$	$5.09710$	$[0, 1, 0, -65382480, -271525761900]$	\(y^2=x^3+x^2-65382480x-271525761900\)	3.4.0.a.1, 84.8.0.?, 1480.2.0.?, 4440.8.0.?, 31080.16.0.?	$[ ]$

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