Elliptic curve search results

Results (17 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
5610.t4	5610r3	5610.t	5610r	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{30} \cdot 3 \cdot 5 \cdot 11^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$2040$	$96$	$1$	$1$	$9$	$3$	$1$	$138240$	$2.315086$	$5508208700580085578359/8246033269590589440$	$1.00851$	$5.85270$	$[1, 0, 1, 367927, -108178804]$	\(y^2+xy+y=x^3+367927x-108178804\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 30.48.0-30.b.1.3, 136.6.0.?, $\ldots$	$[]$
16830.bt4	16830ce3	16830.bt	16830ce	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{30} \cdot 3^{7} \cdot 5 \cdot 11^{6} \cdot 17^{2} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$2040$	$96$	$1$	$1$	$1$		$5$	$1105920$	$2.864395$	$5508208700580085578359/8246033269590589440$	$1.00851$	$5.86933$	$[1, -1, 1, 3311347, 2920827701]$	\(y^2+xy+y=x^3-x^2+3311347x+2920827701\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 30.48.0-30.b.1.4, 136.6.0.?, $\ldots$	$[]$
28050.cc4	28050by3	28050.cc	28050by	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{30} \cdot 3 \cdot 5^{7} \cdot 11^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$1$	$1$		$1$	$3317760$	$3.119804$	$5508208700580085578359/8246033269590589440$	$1.00851$	$5.87585$	$[1, 1, 1, 9198187, -13522350469]$	\(y^2+xy+y=x^3+x^2+9198187x-13522350469\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 15.8.0-3.a.1.1, 30.48.0-30.b.1.2, $\ldots$	$[]$
44880.x4	44880bz3	44880.x	44880bz	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{42} \cdot 3 \cdot 5 \cdot 11^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$4.456527009$	$1$		$3$	$3317760$	$3.008236$	$5508208700580085578359/8246033269590589440$	$1.00851$	$5.49304$	$[0, -1, 0, 5886840, 6923443440]$	\(y^2=x^3-x^2+5886840x+6923443440\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 30.24.0.b.1, $\ldots$	$[(-163, 77198)]$
61710.ct4	61710cx3	61710.ct	61710cx	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{30} \cdot 3 \cdot 5 \cdot 11^{12} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$8.636724669$	$1$		$1$	$16588800$	$3.514034$	$5508208700580085578359/8246033269590589440$	$1.00851$	$5.88472$	$[1, 0, 0, 44519225, 144030507017]$	\(y^2+xy=x^3+44519225x+144030507017\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 33.8.0-3.a.1.1, $\ldots$	$[(105838/3, 40734335/3)]$
84150.y4	84150cs3	84150.y	84150cs	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{30} \cdot 3^{7} \cdot 5^{7} \cdot 11^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$1$	$1$		$1$	$26542080$	$3.669113$	$5508208700580085578359/8246033269590589440$	$1.00851$	$5.88788$	$[1, -1, 0, 82783683, 365186246341]$	\(y^2+xy=x^3-x^2+82783683x+365186246341\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 15.8.0-3.a.1.2, 30.48.0-30.b.1.1, $\ldots$	$[]$
95370.f4	95370h3	95370.f	95370h	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{30} \cdot 3 \cdot 5 \cdot 11^{6} \cdot 17^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$18.06261199$	$1$		$7$	$39813120$	$3.731693$	$5508208700580085578359/8246033269590589440$	$1.00851$	$5.88910$	$[1, 1, 0, 106331042, -531588793868]$	\(y^2+xy=x^3+x^2+106331042x-531588793868\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 30.24.0.b.1, $\ldots$	$[(11493, 1480436), (320868524, 5747494352810)]$
134640.n4	134640by3	134640.n	134640by	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{42} \cdot 3^{7} \cdot 5 \cdot 11^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$11.99636256$	$1$		$1$	$26542080$	$3.557541$	$5508208700580085578359/8246033269590589440$	$1.00851$	$5.54020$	$[0, 0, 0, 52981557, -186985954438]$	\(y^2=x^3+52981557x-186985954438\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 30.24.0.b.1, $\ldots$	$[(684479/11, 721374838/11)]$
179520.bl4	179520id3	179520.bl	179520id	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{48} \cdot 3 \cdot 5 \cdot 11^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$12.50793533$	$1$		$1$	$26542080$	$3.354809$	$5508208700580085578359/8246033269590589440$	$1.00851$	$5.20737$	$[0, -1, 0, 23547359, -55411094879]$	\(y^2=x^3-x^2+23547359x-55411094879\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 30.24.0.b.1, $\ldots$	$[(9363789/14, 28793369935/14)]$
179520.ev4	179520bi3	179520.ev	179520bi	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{48} \cdot 3 \cdot 5 \cdot 11^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$1$	$9$	$3$	$1$	$26542080$	$3.354809$	$5508208700580085578359/8246033269590589440$	$1.00851$	$5.20737$	$[0, 1, 0, 23547359, 55411094879]$	\(y^2=x^3+x^2+23547359x+55411094879\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 30.24.0.b.1, $\ldots$	$[]$
185130.j4	185130dz3	185130.j	185130dz	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{30} \cdot 3^{7} \cdot 5 \cdot 11^{12} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$9$	$3$	$1$	$132710400$	$4.063339$	$5508208700580085578359/8246033269590589440$	$1.00851$	$5.89516$	$[1, -1, 0, 400673025, -3888823689459]$	\(y^2+xy=x^3-x^2+400673025x-3888823689459\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 33.8.0-3.a.1.2, $\ldots$	$[]$
224400.ht4	224400cm3	224400.ht	224400cm	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{42} \cdot 3 \cdot 5^{7} \cdot 11^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$1$	$4$	$2$	$1$	$79626240$	$3.812954$	$5508208700580085578359/8246033269590589440$	$1.00851$	$5.55926$	$[0, 1, 0, 147170992, 865724771988]$	\(y^2=x^3+x^2+147170992x+865724771988\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 30.24.0.b.1, $\ldots$	$[]$
274890.f4	274890f3	274890.f	274890f	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( - 2^{30} \cdot 3 \cdot 5 \cdot 7^{6} \cdot 11^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$14280$	$96$	$1$	$1$	$1$		$1$	$49766400$	$3.288044$	$5508208700580085578359/8246033269590589440$	$1.00851$	$4.96624$	$[1, 1, 0, 18028447, 37123358133]$	\(y^2+xy=x^3+x^2+18028447x+37123358133\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 30.24.0.b.1, $\ldots$	$[]$
286110.fy4	286110fy3	286110.fy	286110fy	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{30} \cdot 3^{7} \cdot 5 \cdot 11^{6} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$1$	$1$		$1$	$318504960$	$4.280998$	$5508208700580085578359/8246033269590589440$	$1.00851$	$5.89880$	$[1, -1, 1, 956979373, 14353854413811]$	\(y^2+xy+y=x^3-x^2+956979373x+14353854413811\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.10, 30.24.0.b.1, $\ldots$	$[]$
308550.ca4	308550ca3	308550.ca	308550ca	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{30} \cdot 3 \cdot 5^{7} \cdot 11^{12} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$42.47343491$	$1$		$1$	$398131200$	$4.318756$	$5508208700580085578359/8246033269590589440$	$1.00851$	$5.89940$	$[1, 1, 0, 1112980625, 18003813377125]$	\(y^2+xy=x^3+x^2+1112980625x+18003813377125\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 66.24.0-6.a.1.3, $\ldots$	$[(85606153633224397665/48841184, 1187001712189695028324235575295/48841184)]$
476850.kb4	476850kb3	476850.kb	476850kb	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{30} \cdot 3 \cdot 5^{7} \cdot 11^{6} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$1$	$1$		$1$	$955514880$	$4.536415$	$5508208700580085578359/8246033269590589440$	$1.00851$	$5.90275$	$[1, 0, 0, 2658276037, -66453915785583]$	\(y^2+xy=x^3+2658276037x-66453915785583\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.8, 30.24.0.b.1, $\ldots$	$[]$
493680.dn4	493680dn3	493680.dn	493680dn	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{42} \cdot 3 \cdot 5 \cdot 11^{12} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$36$	$2, 3$	$1$	$398131200$	$4.207184$	$5508208700580085578359/8246033269590589440$	$1.00851$	$5.58577$	$[0, -1, 0, 712307600, -9217952449088]$	\(y^2=x^3-x^2+712307600x-9217952449088\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 132.24.0.?, $\ldots$	$[]$

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