LMFDB - Elliptic curves over $\Q$ of conductor 5610

Refine search

Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio

		Sort order	Select

Results (1-50 of 98 matches)

Next Download displayed columns for results to

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Semistable	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.a1	5610c2	5610.a	5610c	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{13} \cdot 3^{2} \cdot 5^{10} \cdot 11^{4} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$0$	$99840$	$2.163605$	$41125104693338423360329/179205840000000000$	$1.00096$	$6.03210$	$[1, 1, 0, -719108, -234128688]$	$y^2+xy=x^3+x^2-719108x-234128688$	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[]$
5610.a2	5610c1	5610.a	5610c	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{26} \cdot 3 \cdot 5^{5} \cdot 11^{2} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$1$	$49920$	$1.817032$	$-1308796492121439049/22000592486400000$	$1.00048$	$5.22669$	$[1, 1, 0, -22788, -7267632]$	$y^2+xy=x^3+x^2-22788x-7267632$	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[]$
5610.b1	5610d2	5610.b	5610d	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{4} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2040$	$12$	$0$	$0.301859142$	$1$		$10$	$2048$	$0.246457$	$326940373369/112003650$	$1.02527$	$3.07137$	$[1, 1, 0, -143, 363]$	$y^2+xy=x^3+x^2-143x+363$	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(11, 11)]$
5610.b2	5610d1	5610.b	5610d	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{2} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2040$	$12$	$0$	$0.603718284$	$1$		$7$	$1024$	$-0.100117$	$2053225511/2098140$	$0.83478$	$2.48400$	$[1, 1, 0, 27, 57]$	$y^2+xy=x^3+x^2+27x+57$	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(-1, 6)]$
5610.c1	5610a4	5610.c	5610a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{2} \cdot 3 \cdot 5^{4} \cdot 11 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$22440$	$48$	$0$	$1.127882577$	$1$		$4$	$8192$	$0.774490$	$189602977175292169/1402500$	$0.99860$	$4.60870$	$[1, 1, 0, -11968, 498988]$	$y^2+xy=x^3+x^2-11968x+498988$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[(69, 53)]$
5610.c2	5610a3	5610.c	5610a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{2} \cdot 3 \cdot 5 \cdot 11^{4} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$22440$	$48$	$0$	$1.127882577$	$1$		$6$	$8192$	$0.774490$	$127483771761289/73369857660$	$0.98135$	$3.76250$	$[1, 1, 0, -1048, 532]$	$y^2+xy=x^3+x^2-1048x+532$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, 60.24.0-60.h.1.2, $\ldots$	$[(-3, 62)]$
5610.c3	5610a2	5610.c	5610a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$11220$	$48$	$0$	$0.563941288$	$1$		$14$	$4096$	$0.427917$	$46380496070089/125888400$	$0.90287$	$3.64536$	$[1, 1, 0, -748, 7552]$	$y^2+xy=x^3+x^2-748x+7552$	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.a.1.4, 748.12.0.?, $\ldots$	$[(1, 82)]$
5610.c4	5610a1	5610.c	5610a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{8} \cdot 3^{4} \cdot 5 \cdot 11 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$22440$	$48$	$0$	$1.127882577$	$1$		$5$	$2048$	$0.081343$	$-2565726409/19388160$	$0.99636$	$2.81601$	$[1, 1, 0, -28, 208]$	$y^2+xy=x^3+x^2-28x+208$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$	$[(1, 13)]$
5610.d1	5610b1	5610.d	5610b	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{7} \cdot 3^{5} \cdot 5 \cdot 11 \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$22440$	$2$	$0$	$1$	$1$		$0$	$1680$	$0.112840$	$2053225511/29082240$	$0.87753$	$2.84960$	$[1, 1, 0, 27, -243]$	$y^2+xy=x^3+x^2+27x-243$	22440.2.0.?	$[]$
5610.e1	5610e1	5610.e	5610e	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{2} \cdot 3^{3} \cdot 5^{4} \cdot 11 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.6.0.4	2B	$4488$	$12$	$0$	$1.674348531$	$1$		$5$	$1920$	$0.084170$	$76711450249/12622500$	$0.85391$	$2.90343$	$[1, 1, 0, -88, -308]$	$y^2+xy=x^3+x^2-88x-308$	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[(-6, 10)]$
5610.e2	5610e2	5610.e	5610e	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2 \cdot 3^{6} \cdot 5^{2} \cdot 11^{2} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.6.0.5	2B	$4488$	$12$	$0$	$0.837174265$	$1$		$6$	$3840$	$0.430743$	$465664585751/1274620050$	$0.89713$	$3.26484$	$[1, 1, 0, 162, -1458]$	$y^2+xy=x^3+x^2+162x-1458$	2.3.0.a.1, 8.6.0.a.1, 2244.6.0.?, 4488.12.0.?	$[(11, 37)]$
5610.f1	5610h1	5610.f	5610h	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2 \cdot 3^{13} \cdot 5 \cdot 11^{3} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$22440$	$2$	$0$	$1$	$1$		$0$	$9360$	$0.906981$	$610641930681719/360747465210$	$0.97142$	$3.94397$	$[1, 1, 0, 1768, 4866]$	$y^2+xy=x^3+x^2+1768x+4866$	22440.2.0.?	$[]$
5610.g1	5610f3	5610.g	5610f	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{4} \cdot 3^{4} \cdot 5 \cdot 11^{3} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$22440$	$48$	$0$	$1$	$1$		$0$	$36864$	$1.771034$	$20260414982443110947641/720358602480$	$0.99860$	$5.95009$	$[1, 1, 0, -567947, 164507661]$	$y^2+xy=x^3+x^2-567947x+164507661$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 44.12.0-4.c.1.1, 220.24.0.?, $\ldots$	$[]$
5610.g2	5610f2	5610.g	5610f	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 11^{6} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$11220$	$48$	$0$	$1$	$1$		$2$	$18432$	$1.424459$	$4967657717692586041/29490113030400$	$0.96737$	$4.98702$	$[1, 1, 0, -35547, 2551581]$	$y^2+xy=x^3+x^2-35547x+2551581$	2.6.0.a.1, 20.12.0-2.a.1.1, 44.12.0-2.a.1.1, 204.12.0.?, 220.24.0.?, $\ldots$	$[]$
5610.g3	5610f4	5610.g	5610f	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{4} \cdot 3 \cdot 5 \cdot 11^{12} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$22440$	$48$	$0$	$1$	$4$	$2$	$0$	$36864$	$1.771034$	$-384369029857072441/12804787777021680$	$1.00340$	$5.16207$	$[1, 1, 0, -15147, 5485101]$	$y^2+xy=x^3+x^2-15147x+5485101$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 88.12.0.?, 204.12.0.?, $\ldots$	$[]$
5610.g4	5610f1	5610.g	5610f	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{16} \cdot 3 \cdot 5^{4} \cdot 11^{3} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$22440$	$48$	$0$	$1$	$1$		$1$	$9216$	$1.077887$	$4937402992298041/2780405760000$	$0.97829$	$4.18609$	$[1, 1, 0, -3547, -14819]$	$y^2+xy=x^3+x^2-3547x-14819$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 44.12.0-4.c.1.2, 204.12.0.?, $\ldots$	$[]$
5610.h1	5610i3	5610.h	5610i	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2 \cdot 3 \cdot 5^{4} \cdot 11^{12} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$4488$	$48$	$0$	$0.719426129$	$1$		$4$	$73728$	$2.092129$	$5921450764096952391481/200074809015963750$	$0.99510$	$5.80759$	$[1, 1, 0, -376907, 86267439]$	$y^2+xy=x^3+x^2-376907x+86267439$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 136.12.0.?, $\ldots$	$[(433, 1901)]$
5610.h2	5610i2	5610.h	5610i	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 11^{6} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$4488$	$48$	$0$	$0.359713064$	$1$		$20$	$36864$	$1.745556$	$21754112339458491481/7199734626562500$	$0.98263$	$5.15810$	$[1, 1, 0, -58157, -3556311]$	$y^2+xy=x^3+x^2-58157x-3556311$	2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.1, 132.24.0.?, 136.12.0.?, $\ldots$	$[(-77, 726)]$
5610.h3	5610i1	5610.h	5610i	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{4} \cdot 3 \cdot 5^{4} \cdot 11^{3} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$4488$	$48$	$0$	$0.719426129$	$1$		$7$	$18432$	$1.398983$	$15891267085572193561/3334993530000$	$0.97222$	$5.12173$	$[1, 1, 0, -52377, -4634859]$	$y^2+xy=x^3+x^2-52377x-4634859$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 44.12.0-4.c.1.2, 66.6.0.a.1, $\ldots$	$[(-133, 94)]$
5610.h4	5610i4	5610.h	5610i	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2 \cdot 3^{4} \cdot 5^{16} \cdot 11^{3} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$4488$	$48$	$0$	$0.719426129$	$1$		$4$	$73728$	$2.092129$	$525440531549759128199/559322204589843750$	$1.00034$	$5.52700$	$[1, 1, 0, 168113, -24237389]$	$y^2+xy=x^3+x^2+168113x-24237389$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 44.12.0-4.c.1.1, 136.12.0.?, $\ldots$	$[(187, 3619)]$
5610.i1	5610g2	5610.i	5610g	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{11} \cdot 3^{2} \cdot 5^{4} \cdot 11^{2} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$0$	$28160$	$1.490301$	$708234550511150304361/23696640000$	$0.98703$	$5.56159$	$[1, 1, 0, -185702, -30879084]$	$y^2+xy=x^3+x^2-185702x-30879084$	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
5610.i2	5610g1	5610.i	5610g	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{22} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$14080$	$1.143728$	$173629978755828841/1000026931200$	$0.95177$	$4.59851$	$[1, 1, 0, -11622, -484716]$	$y^2+xy=x^3+x^2-11622x-484716$	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[]$
5610.j1	5610j1	5610.j	5610j	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{10} \cdot 3^{7} \cdot 5 \cdot 11^{3} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$11220$	$2$	$0$	$0.499014945$	$1$		$6$	$10080$	$0.966219$	$-8444922396903721/253364474880$	$0.93638$	$4.25412$	$[1, 1, 0, -4242, 107316]$	$y^2+xy=x^3+x^2-4242x+107316$	11220.2.0.?	$[(20, 166)]$
5610.k1	5610l1	5610.k	5610l	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{14} \cdot 3 \cdot 5^{7} \cdot 11 \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$11220$	$2$	$0$	$4.466711743$	$1$		$2$	$14112$	$0.990759$	$-2596717791529849/718080000000$	$0.93434$	$4.15690$	$[1, 0, 1, -2864, -71938]$	$y^2+xy+y=x^3-2864x-71938$	11220.2.0.?	$[(953, 28899)]$
5610.l1	5610o1	5610.l	5610o	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{34} \cdot 3^{9} \cdot 5 \cdot 11 \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$11220$	$2$	$0$	$1.322635157$	$1$		$4$	$73440$	$2.043663$	$-85944135790429956649/316171526414008320$	$1.00032$	$5.54845$	$[1, 0, 1, -91939, -29111074]$	$y^2+xy+y=x^3-91939x-29111074$	11220.2.0.?	$[(3391, 194912)]$
5610.m1	5610k1	5610.m	5610k	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{2} \cdot 3^{7} \cdot 5^{4} \cdot 11 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.6.0.4	2B	$4488$	$12$	$0$	$0.331993877$	$1$		$11$	$8064$	$0.865376$	$68001744211490809/1022422500$	$0.99419$	$4.48991$	$[1, 0, 1, -8504, 301106]$	$y^2+xy+y=x^3-8504x+301106$	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[(51, 1)]$
5610.m2	5610k2	5610.m	5610k	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2 \cdot 3^{14} \cdot 5^{2} \cdot 11^{2} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.6.0.5	2B	$4488$	$12$	$0$	$0.165996938$	$1$		$12$	$16128$	$1.211950$	$-62178675647294809/8362782148050$	$0.99649$	$4.50375$	$[1, 0, 1, -8254, 319706]$	$y^2+xy+y=x^3-8254x+319706$	2.3.0.a.1, 8.6.0.a.1, 2244.6.0.?, 4488.12.0.?	$[(-32, 758)]$
5610.n1	5610m3	5610.n	5610m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2 \cdot 3^{12} \cdot 5 \cdot 11 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$22440$	$48$	$0$	$0.777637203$	$1$		$6$	$9216$	$0.891622$	$110211585818155849/993794670$	$0.94938$	$4.54585$	$[1, 0, 1, -9989, 383402]$	$y^2+xy+y=x^3-9989x+383402$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(60, 1)]$
5610.n2	5610m2	5610.n	5610m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{2} \cdot 3^{6} \cdot 5^{2} \cdot 11^{2} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$22440$	$48$	$0$	$0.388818601$	$1$		$16$	$4608$	$0.545049$	$28790481449449/2549240100$	$0.90155$	$3.59013$	$[1, 0, 1, -639, 5662]$	$y^2+xy+y=x^3-639x+5662$	2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 120.24.0.?, 748.12.0.?, $\ldots$	$[(5, 48)]$
5610.n3	5610m1	5610.n	5610m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 11 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$22440$	$48$	$0$	$0.777637203$	$1$		$7$	$2304$	$0.198475$	$293946977449/50490000$	$0.86688$	$3.05905$	$[1, 0, 1, -139, -538]$	$y^2+xy+y=x^3-139x-538$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$	$[(-5, 8)]$
5610.n4	5610m4	5610.n	5610m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2 \cdot 3^{3} \cdot 5 \cdot 11^{4} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$22440$	$48$	$0$	$0.777637203$	$1$		$6$	$9216$	$0.891622$	$39829997144951/330164359470$	$0.94321$	$3.92771$	$[1, 0, 1, 711, 26722]$	$y^2+xy+y=x^3+711x+26722$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[(8, 177)]$
5610.o1	5610n4	5610.o	5610n	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{3} \cdot 3^{2} \cdot 5^{12} \cdot 11^{2} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$4488$	$96$	$1$	$7.815521508$	$1$		$0$	$69120$	$1.897261$	$1183430669265454849849/10449720703125000$	$0.98904$	$5.62106$	$[1, 0, 1, -220364, -39529438]$	$y^2+xy+y=x^3-220364x-39529438$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 132.48.0.?, 136.6.0.?, $\ldots$	$[(9909/4, 482575/4)]$
5610.o2	5610n3	5610.o	5610n	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{6} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 17^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$4488$	$96$	$1$	$3.907760754$	$1$		$1$	$34560$	$1.550688$	$1499114720492202169/796539777000000$	$0.99040$	$4.84823$	$[1, 0, 1, -23844, 403426]$	$y^2+xy+y=x^3-23844x+403426$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 66.48.0-66.b.1.3, 136.6.0.?, $\ldots$	$[(-263/3, 28381/3)]$
5610.o3	5610n2	5610.o	5610n	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2 \cdot 3^{6} \cdot 5^{4} \cdot 11^{6} \cdot 17 $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$4488$	$96$	$1$	$2.605173836$	$1$		$8$	$23040$	$1.347956$	$746461053445307689/27443694341250$	$0.95942$	$4.76745$	$[1, 0, 1, -18899, 966116]$	$y^2+xy+y=x^3-18899x+966116$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 132.48.0.?, 136.6.0.?, $\ldots$	$[(246, 3226)]$
5610.o4	5610n1	5610.o	5610n	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11^{3} \cdot 17^{2} $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$4488$	$96$	$1$	$1.302586918$	$1$		$13$	$11520$	$1.001381$	$726497538898787209/1038579300$	$0.95856$	$4.76431$	$[1, 0, 1, -18729, 984952]$	$y^2+xy+y=x^3-18729x+984952$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 66.48.0-66.b.1.4, 136.6.0.?, $\ldots$	$[(71, 84)]$
5610.p1	5610p1	5610.p	5610p	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{15} \cdot 3^{15} \cdot 5^{11} \cdot 11 \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$22440$	$2$	$0$	$1$	$1$		$0$	$673200$	$3.187794$	$-45100802713464654722769650329/4293192974400000000000$	$1.03716$	$7.64325$	$[1, 0, 1, -74157234, 245812062532]$	$y^2+xy+y=x^3-74157234x+245812062532$	22440.2.0.?	$[]$
5610.q1	5610t7	5610.q	5610t	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{9} \cdot 3 \cdot 5 \cdot 11^{4} \cdot 17^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$22440$	$384$	$5$	$1$	$36$	$2, 3$	$0$	$663552$	$2.960789$	$901247067798311192691198986281/552431869440$	$1.04331$	$7.99017$	$[1, 0, 1, -201236483, -1098790303234]$	$y^2+xy+y=x^3-201236483x-1098790303234$	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$	$[]$
5610.q2	5610t8	5610.q	5610t	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{9} \cdot 3 \cdot 5^{4} \cdot 11 \cdot 17^{12} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$22440$	$384$	$5$	$1$	$9$	$3$	$0$	$663552$	$2.960789$	$224494757451893010998773801/6152490825146276160000$	$1.02543$	$7.02893$	$[1, 0, 1, -12661763, -16927055362]$	$y^2+xy+y=x^3-12661763x-16927055362$	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$	$[]$
5610.q3	5610t6	5610.q	5610t	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{18} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 17^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.6.0.1, 3.8.0.2	2Cs, 3B.1.2	$22440$	$384$	$5$	$1$	$9$	$3$	$2$	$331776$	$2.614212$	$220031146443748723000125481/172266701724057600$	$1.02496$	$7.02661$	$[1, 0, 1, -12577283, -17169377794]$	$y^2+xy+y=x^3-12577283x-17169377794$	2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 24.96.0-24.o.1.31, 44.12.0-2.a.1.1, $\ldots$	$[]$
5610.q4	5610t4	5610.q	5610t	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{3} \cdot 3^{3} \cdot 5^{3} \cdot 11^{12} \cdot 17 $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	4.6.0.1, 3.8.0.1	2B, 3B.1.1	$22440$	$384$	$5$	$1$	$4$	$2$	$4$	$221184$	$2.411480$	$1696892787277117093383481/1440538624914939000$	$1.01210$	$6.46303$	$[1, 0, 1, -2484908, -1506795694]$	$y^2+xy+y=x^3-2484908x-1506795694$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$	$[]$
5610.q5	5610t5	5610.q	5610t	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{3} \cdot 3^{3} \cdot 5^{12} \cdot 11^{3} \cdot 17^{4} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	4.6.0.1, 3.8.0.1	2B, 3B.1.1	$22440$	$384$	$5$	$1$	$1$		$4$	$221184$	$2.411480$	$476646772170172569823801/5862293314453125000$	$1.00861$	$6.31593$	$[1, 0, 1, -1627388, 790397138]$	$y^2+xy+y=x^3-1627388x+790397138$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$	$[]$
5610.q6	5610t3	5610.q	5610t	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{36} \cdot 3^{4} \cdot 5 \cdot 11 \cdot 17^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$22440$	$384$	$5$	$1$	$9$	$3$	$1$	$165888$	$2.267639$	$-52643812360427830814761/1504091705903677440$	$1.00213$	$6.06628$	$[1, 0, 1, -780803, -272099842]$	$y^2+xy+y=x^3-780803x-272099842$	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$	$[]$
5610.q7	5610t2	5610.q	5610t	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 11^{6} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.6.0.1, 3.8.0.1	2Cs, 3B.1.1	$22440$	$384$	$5$	$1$	$1$		$10$	$110592$	$2.064907$	$757443433548897303481/373234243041000000$	$1.00700$	$5.56937$	$[1, 0, 1, -189908, -12291694]$	$y^2+xy+y=x^3-189908x-12291694$	2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 24.96.0-24.o.2.27, 44.12.0-2.a.1.1, $\ldots$	$[]$
5610.q8	5610t1	5610.q	5610t	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{12} \cdot 3^{12} \cdot 5^{3} \cdot 11^{3} \cdot 17 $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	4.6.0.1, 3.8.0.1	2B, 3B.1.1	$22440$	$384$	$5$	$1$	$1$		$5$	$55296$	$1.718334$	$9023321954633914439/6156756739584000$	$0.99245$	$5.05616$	$[1, 0, 1, 43372, -1467502]$	$y^2+xy+y=x^3+43372x-1467502$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$	$[]$
5610.r1	5610q1	5610.r	5610q	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 11 \cdot 17 $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.1	3B.1.1	$11220$	$16$	$0$	$0.685997473$	$1$		$10$	$1440$	$0.018888$	$-119168121961/2524500$	$0.85407$	$2.95862$	$[1, 0, 1, -103, 398]$	$y^2+xy+y=x^3-103x+398$	3.8.0-3.a.1.2, 11220.16.0.?	$[(7, 2)]$
5610.r2	5610q2	5610.r	5610q	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{6} \cdot 3 \cdot 5 \cdot 11^{3} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.2	3B.1.2	$11220$	$16$	$0$	$2.057992419$	$1$		$2$	$4320$	$0.568194$	$8339492177639/6277634880$	$0.91440$	$3.44659$	$[1, 0, 1, 422, 1868]$	$y^2+xy+y=x^3+422x+1868$	3.8.0-3.a.1.1, 11220.16.0.?	$[(-3, 25)]$
5610.s1	5610u1	5610.s	5610u	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{6} \cdot 3^{11} \cdot 5^{5} \cdot 11 \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$11220$	$2$	$0$	$0.095885285$	$1$		$12$	$15840$	$1.139511$	$51974460932759/6625297800000$	$0.98223$	$4.28299$	$[1, 0, 1, 777, -123494]$	$y^2+xy+y=x^3+777x-123494$	11220.2.0.?	$[(95, 852)]$
5610.t1	5610r4	5610.t	5610r	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{15} \cdot 3^{2} \cdot 5^{2} \cdot 11^{12} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$2040$	$96$	$1$	$1$	$9$	$3$	$0$	$276480$	$2.661659$	$1562225332123379392365961/393363080510106009600$	$1.01713$	$6.45345$	$[1, 0, 1, -2417353, -1087483252]$	$y^2+xy+y=x^3-2417353x-1087483252$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 60.48.0-60.t.1.15, 136.6.0.?, $\ldots$	$[]$
5610.t2	5610r2	5610.t	5610r	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ 2^{5} \cdot 3^{6} \cdot 5^{6} \cdot 11^{4} \cdot 17^{3} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$2040$	$96$	$1$	$1$	$1$		$4$	$92160$	$2.112354$	$63229930193881628103961/26218934428500000$	$1.00226$	$6.08193$	$[1, 0, 1, -829978, 290863148]$	$y^2+xy+y=x^3-829978x+290863148$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 60.48.0-60.t.1.16, 136.6.0.?, $\ldots$	$[]$
5610.t3	5610r1	5610.t	5610r	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 11^{2} \cdot 17^{6} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$2040$	$96$	$1$	$1$	$1$		$5$	$46080$	$1.765781$	$-9354997870579612441/10093752054144000$	$0.98188$	$5.18226$	$[1, 0, 1, -43898, 5987756]$	$y^2+xy+y=x^3-43898x+5987756$	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.?, $\ldots$	$[]$

Next Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 98 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Learn more

Refine search Advanced search options

Results (1-50 of 98 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Refine search