LMFDB - Elliptic curves over $\Q$ of conductor 175350

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 99 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	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
175350.a1	175350ce1	175350.a	175350ce	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{9} \cdot 3^{5} \cdot 5^{6} \cdot 7^{3} \cdot 167 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$28056$	$2$	$0$	$4.743628253$	$1$		$2$	$604800$	$1.387562$	$13908844989649/7126672896$	$0.91730$	$3.30614$	$[1, 1, 0, -12525, -187875]$	$y^2+xy=x^3+x^2-12525x-187875$	28056.2.0.?	$[(-31, 430)]$
175350.b1	175350cf1	175350.b	175350cf	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{7} \cdot 3^{4} \cdot 5^{8} \cdot 7^{3} \cdot 167 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$9352$	$2$	$0$	$2.284985562$	$1$		$2$	$903168$	$1.449907$	$-11928932826049/14847235200$	$0.86513$	$3.38847$	$[1, 1, 0, -11900, 882000]$	$y^2+xy=x^3+x^2-11900x+882000$	9352.2.0.?	$[(95, 740)]$
175350.c1	175350cg2	175350.c	175350cg	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2 \cdot 3 \cdot 5^{10} \cdot 7^{2} \cdot 167^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4008$	$12$	$0$	$1$	$1$		$0$	$688128$	$1.472252$	$359258634877969/5124603750$	$0.93139$	$3.57543$	$[1, 1, 0, -37025, -2723625]$	$y^2+xy=x^3+x^2-37025x-2723625$	2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.?	$[]$
175350.c2	175350cg1	175350.c	175350cg	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 7^{4} \cdot 167 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4008$	$12$	$0$	$1$	$1$		$1$	$344064$	$1.125679$	$-148035889/360870300$	$1.09591$	$3.04903$	$[1, 1, 0, -275, -114375]$	$y^2+xy=x^3+x^2-275x-114375$	2.3.0.a.1, 24.6.0.d.1, 334.6.0.?, 4008.12.0.?	$[]$
175350.d1	175350ch1	175350.d	175350ch	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{2} \cdot 3 \cdot 5^{10} \cdot 7^{5} \cdot 167 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$7014$	$2$	$0$	$14.25799717$	$1$		$0$	$1041600$	$1.610836$	$-3938787405025/33681228$	$0.86442$	$3.73604$	$[1, 1, 0, -70325, -7260375]$	$y^2+xy=x^3+x^2-70325x-7260375$	7014.2.0.?	$[(2089264/27, 2978914679/27)]$
175350.e1	175350ci4	175350.e	175350ci	$4$	$6$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{3} \cdot 3 \cdot 5^{10} \cdot 7^{6} \cdot 167^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$20040$	$96$	$1$	$1$	$1$		$0$	$83607552$	$3.858372$	$222984755707015209890031841/38280563847768247215000$	$1.03799$	$5.82430$	$[1, 1, 0, -315832750, -1811968362500]$	$y^2+xy=x^3+x^2-315832750x-1811968362500$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0.ca.1, $\ldots$	$[]$
175350.e2	175350ci2	175350.e	175350ci	$4$	$6$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{9} \cdot 3^{3} \cdot 5^{18} \cdot 7^{2} \cdot 167^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$20040$	$96$	$1$	$1$	$1$		$0$	$27869184$	$3.309063$	$4982588980089125895231841/4612143375000000000$	$1.02545$	$5.50950$	$[1, 1, 0, -88957750, 322646012500]$	$y^2+xy=x^3+x^2-88957750x+322646012500$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0.ca.1, $\ldots$	$[]$
175350.e3	175350ci1	175350.e	175350ci	$4$	$6$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{18} \cdot 3^{6} \cdot 5^{12} \cdot 7^{4} \cdot 167 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$20040$	$96$	$1$	$1$	$1$		$1$	$13934592$	$2.962490$	$-557165665563681978721/1197281046528000000$	$0.96614$	$4.88436$	$[1, 1, 0, -4285750, 7412156500]$	$y^2+xy=x^3+x^2-4285750x+7412156500$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0.cd.1, $\ldots$	$[]$
175350.e4	175350ci3	175350.e	175350ci	$4$	$6$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 7^{12} \cdot 167^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$20040$	$96$	$1$	$1$	$1$		$1$	$41803776$	$3.511799$	$361847631493683076805279/928300075358847307200$	$0.99020$	$5.39446$	$[1, 1, 0, 37114250, -161235243500]$	$y^2+xy=x^3+x^2+37114250x-161235243500$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0.cd.1, $\ldots$	$[]$
175350.f1	175350cj2	175350.f	175350cj	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2 \cdot 3 \cdot 5^{6} \cdot 7^{3} \cdot 167^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$140280$	$16$	$0$	$1$	$1$		$0$	$902016$	$1.418306$	$24130052890273/9585058854$	$0.90752$	$3.35177$	$[1, 1, 0, -15050, -404250]$	$y^2+xy=x^3+x^2-15050x-404250$	3.4.0.a.1, 15.8.0-3.a.1.1, 28056.8.0.?, 140280.16.0.?	$[]$
175350.f2	175350cj1	175350.f	175350cj	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{3} \cdot 3^{3} \cdot 5^{6} \cdot 7 \cdot 167 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$140280$	$16$	$0$	$1$	$1$		$0$	$300672$	$0.869000$	$2226025896193/252504$	$0.87351$	$3.15440$	$[1, 1, 0, -6800, 213000]$	$y^2+xy=x^3+x^2-6800x+213000$	3.4.0.a.1, 15.8.0-3.a.1.2, 28056.8.0.?, 140280.16.0.?	$[]$
175350.g1	175350ck1	175350.g	175350ck	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{5} \cdot 3^{9} \cdot 5^{2} \cdot 7^{4} \cdot 167 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$4008$	$2$	$0$	$1$	$1$		$0$	$397440$	$1.135082$	$68688899375/252551470752$	$1.00651$	$3.05836$	$[1, 1, 0, 250, -120780]$	$y^2+xy=x^3+x^2+250x-120780$	4008.2.0.?	$[]$
175350.h1	175350by1	175350.h	175350by	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{8} \cdot 3 \cdot 5^{4} \cdot 7^{5} \cdot 167 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14028$	$2$	$0$	$1.165650958$	$1$		$12$	$345600$	$1.017855$	$3886512940825/2155598592$	$0.90705$	$2.93397$	$[1, 1, 0, -2800, -12800]$	$y^2+xy=x^3+x^2-2800x-12800$	14028.2.0.?	$[(96, 736), (-16, 176)]$
175350.i1	175350cc1	175350.i	175350cc	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{14} \cdot 3^{8} \cdot 5^{9} \cdot 7^{2} \cdot 167 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1670$	$2$	$0$	$1.956382297$	$1$		$16$	$3870720$	$2.231277$	$-814992504892453441/109954381824000$	$0.92241$	$4.23272$	$[1, 1, 0, -486500, 144834000]$	$y^2+xy=x^3+x^2-486500x+144834000$	1670.2.0.?	$[(40, 11180), (215, 6980)]$
175350.j1	175350cd1	175350.j	175350cd	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{4} \cdot 3 \cdot 5^{10} \cdot 7 \cdot 167 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14028$	$2$	$0$	$9.478411793$	$1$		$0$	$764160$	$1.420816$	$6581286898225/56112$	$0.86840$	$3.77734$	$[1, 1, 0, -83450, -9313500]$	$y^2+xy=x^3+x^2-83450x-9313500$	14028.2.0.?	$[(17956/7, 993390/7)]$
175350.k1	175350bz1	175350.k	175350bz	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{19} \cdot 3^{3} \cdot 5^{4} \cdot 7^{6} \cdot 167 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$4008$	$2$	$0$	$7.457104058$	$1$		$0$	$2922048$	$2.065453$	$-4961457060068476825/278123952734208$	$0.95208$	$4.10603$	$[1, 1, 0, -303800, -67627200]$	$y^2+xy=x^3+x^2-303800x-67627200$	4008.2.0.?	$[(5869/3, 85126/3)]$
175350.l1	175350ca1	175350.l	175350ca	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7 \cdot 167 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14028$	$2$	$0$	$1$	$4$	$2$	$0$	$1313280$	$1.695599$	$84962162379145/5890413312$	$0.95006$	$3.72260$	$[1, 1, 0, -66950, -6283500]$	$y^2+xy=x^3+x^2-66950x-6283500$	14028.2.0.?	$[]$
175350.m1	175350cb1	175350.m	175350cb	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{7} \cdot 3^{11} \cdot 5^{8} \cdot 7 \cdot 167^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$168$	$2$	$0$	$1$	$9$	$3$	$0$	$2993760$	$2.179226$	$-61001787191305/4426645603968$	$0.94282$	$4.09596$	$[1, 1, 0, -59950, -63543500]$	$y^2+xy=x^3+x^2-59950x-63543500$	168.2.0.?	$[]$
175350.n1	175350bo1	175350.n	175350bo	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{4} \cdot 3^{11} \cdot 5^{9} \cdot 7^{2} \cdot 167 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10020$	$12$	$0$	$8.428883890$	$1$		$3$	$74905600$	$3.724686$	$3046063844422960121980627253/23193502416$	$1.06788$	$6.44071$	$[1, 0, 1, -3774983951, -89273447890702]$	$y^2+xy+y=x^3-3774983951x-89273447890702$	2.3.0.a.1, 20.6.0.b.1, 2004.6.0.?, 5010.6.0.?, 10020.12.0.?	$[(147711, 50680096)]$
175350.n2	175350bo2	175350.n	175350bo	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{2} \cdot 3^{22} \cdot 5^{9} \cdot 7^{4} \cdot 167^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10020$	$12$	$0$	$4.214441945$	$1$		$4$	$149811200$	$4.071259$	$-3046057792618766225194630133/8405289911265591204$	$1.08313$	$6.44071$	$[1, 0, 1, -3774981451, -89273572045702]$	$y^2+xy+y=x^3-3774981451x-89273572045702$	2.3.0.a.1, 20.6.0.a.1, 2004.6.0.?, 10020.12.0.?	$[(93727, 19453886)]$
175350.o1	175350bu1	175350.o	175350bu	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{25} \cdot 3^{8} \cdot 5^{8} \cdot 7 \cdot 167 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$9352$	$2$	$0$	$1$	$1$		$0$	$7065600$	$2.527523$	$11065699305011005199/6433902113587200$	$0.98934$	$4.43139$	$[1, 0, 1, 1160624, 33114398]$	$y^2+xy+y=x^3+1160624x+33114398$	9352.2.0.?	$[]$
175350.p1	175350bv4	175350.p	175350bv	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{3} \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 167^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$46760$	$48$	$0$	$2.083009042$	$1$		$6$	$8257536$	$2.498600$	$1150638118585800835537/31752757008504$	$1.05311$	$4.81602$	$[1, 0, 1, -5457726, -4907898152]$	$y^2+xy+y=x^3-5457726x-4907898152$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0.s.1, 280.24.0.?, $\ldots$	$[(-1348, 336)]$
175350.p2	175350bv3	175350.p	175350bv	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{3} \cdot 3^{24} \cdot 5^{6} \cdot 7 \cdot 167 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$46760$	$48$	$0$	$2.083009042$	$1$		$4$	$8257536$	$2.498600$	$25039399590518087377/2641281025170312$	$1.05430$	$4.49902$	$[1, 0, 1, -1523726, 654525848]$	$y^2+xy+y=x^3-1523726x+654525848$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.y.1, 280.24.0.?, $\ldots$	$[(1068, 15139)]$
175350.p3	175350bv2	175350.p	175350bv	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{6} \cdot 3^{12} \cdot 5^{6} \cdot 7^{2} \cdot 167^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$46760$	$48$	$0$	$1.041504521$	$1$		$14$	$4128768$	$2.152027$	$315922815546536017/46479778841664$	$1.03137$	$4.13688$	$[1, 0, 1, -354726, -70254152]$	$y^2+xy+y=x^3-354726x-70254152$	2.6.0.a.1, 20.12.0-2.a.1.1, 56.12.0.b.1, 280.24.0.?, 668.12.0.?, $\ldots$	$[(893, 17589)]$
175350.p4	175350bv1	175350.p	175350bv	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 7^{4} \cdot 167 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$46760$	$48$	$0$	$2.083009042$	$1$		$5$	$2064384$	$1.805452$	$366554400441263/1197281046528$	$0.93868$	$3.70427$	$[1, 0, 1, 37274, -5966152]$	$y^2+xy+y=x^3+37274x-5966152$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0.y.1, 280.24.0.?, $\ldots$	$[(181, 2501)]$
175350.q1	175350bw1	175350.q	175350bw	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{28} \cdot 3^{9} \cdot 5^{10} \cdot 7^{3} \cdot 167 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14028$	$2$	$0$	$13.84093316$	$1$		$8$	$50803200$	$3.506641$	$25200038680481218995025/302650755423141888$	$1.03575$	$5.60481$	$[1, 0, 1, -130554701, -568186992952]$	$y^2+xy+y=x^3-130554701x-568186992952$	14028.2.0.?	$[(-6429, 76942), (-6552, 80407)]$
175350.r1	175350bx1	175350.r	175350bx	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{5} \cdot 3^{3} \cdot 5^{7} \cdot 7 \cdot 167 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$140280$	$2$	$0$	$1$	$1$		$0$	$213120$	$0.797050$	$-10779215329/5050080$	$0.90566$	$2.76206$	$[1, 0, 1, -1151, -20302]$	$y^2+xy+y=x^3-1151x-20302$	140280.2.0.?	$[]$
175350.s1	175350bp1	175350.s	175350bp	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{20} \cdot 3 \cdot 5^{3} \cdot 7^{3} \cdot 167^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$10.00205360$	$1$		$1$	$4024320$	$2.266636$	$23593963475117564757773/30091804409856$	$0.97957$	$4.66631$	$[1, 0, 1, -2987646, 1987407088]$	$y^2+xy+y=x^3-2987646x+1987407088$	2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.?	$[(316183/18, 4134817/18)]$
175350.s2	175350bp2	175350.s	175350bp	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 7^{6} \cdot 167^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$5.001026800$	$1$		$2$	$8048640$	$2.613209$	$-22992642385058358019853/843328137547736064$	$0.98007$	$4.66927$	$[1, 0, 1, -2962046, 2023144688]$	$y^2+xy+y=x^3-2962046x+2023144688$	2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(-283, 53421)]$
175350.t1	175350bi2	175350.t	175350bi	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{4} \cdot 3^{2} \cdot 5^{9} \cdot 7^{8} \cdot 167 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10020$	$12$	$0$	$2.861523584$	$1$		$2$	$7536640$	$2.303207$	$310053669606470789/138631934448$	$0.93181$	$4.53520$	$[1, 0, 1, -1762576, -900477202]$	$y^2+xy+y=x^3-1762576x-900477202$	2.3.0.a.1, 60.6.0.c.1, 2004.6.0.?, 3340.6.0.?, 10020.12.0.?	$[(1561, 11567)]$
175350.t2	175350bi1	175350.t	175350bi	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{8} \cdot 3 \cdot 5^{9} \cdot 7^{4} \cdot 167^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10020$	$12$	$0$	$5.723047168$	$1$		$1$	$3768320$	$1.956635$	$-44924387574149/51426423552$	$0.89354$	$3.89350$	$[1, 0, 1, -92576, -18717202]$	$y^2+xy+y=x^3-92576x-18717202$	2.3.0.a.1, 30.6.0.a.1, 2004.6.0.?, 3340.6.0.?, 10020.12.0.?	$[(3457/3, 36913/3)]$
175350.u1	175350bj1	175350.u	175350bj	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2 \cdot 3^{7} \cdot 5^{9} \cdot 7^{3} \cdot 167 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$140280$	$2$	$0$	$0.536472479$	$1$		$4$	$665280$	$1.503946$	$161255673307/250547094$	$0.89861$	$3.38008$	$[1, 0, 1, 14174, 844298]$	$y^2+xy+y=x^3+14174x+844298$	140280.2.0.?	$[(52, 1286)]$
175350.v1	175350bq2	175350.v	175350bq	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{8} \cdot 3 \cdot 5^{10} \cdot 7 \cdot 167^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$14028$	$12$	$0$	$1$	$1$		$0$	$2457600$	$1.998262$	$2583088294317607441/93707040000$	$0.92577$	$4.31090$	$[1, 0, 1, -714626, 232456148]$	$y^2+xy+y=x^3-714626x+232456148$	2.3.0.a.1, 42.6.0.a.1, 668.6.0.?, 14028.12.0.?	$[]$
175350.v2	175350bq1	175350.v	175350bq	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{16} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 167 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$14028$	$12$	$0$	$1$	$1$		$1$	$1228800$	$1.651690$	$-548166867106321/120663244800$	$0.88055$	$3.63712$	$[1, 0, 1, -42626, 3976148]$	$y^2+xy+y=x^3-42626x+3976148$	2.3.0.a.1, 84.6.0.?, 334.6.0.?, 14028.12.0.?	$[]$
175350.w1	175350br1	175350.w	175350br	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{16} \cdot 3^{4} \cdot 5^{8} \cdot 7 \cdot 167 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$23380$	$12$	$0$	$2.282594326$	$1$		$5$	$983040$	$1.651424$	$408667158311329/155138457600$	$0.88611$	$3.58610$	$[1, 0, 1, -38651, 1712198]$	$y^2+xy+y=x^3-38651x+1712198$	2.3.0.a.1, 20.6.0.b.1, 2338.6.0.?, 23380.12.0.?	$[(-78, 2101)]$
175350.w2	175350br2	175350.w	175350br	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{8} \cdot 3^{8} \cdot 5^{7} \cdot 7^{2} \cdot 167^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$23380$	$12$	$0$	$1.141297163$	$1$		$6$	$1966080$	$1.997997$	$12647871253618271/11476488602880$	$0.91351$	$3.87037$	$[1, 0, 1, 121349, 12272198]$	$y^2+xy+y=x^3+121349x+12272198$	2.3.0.a.1, 20.6.0.a.1, 4676.6.0.?, 23380.12.0.?	$[(31, 3992)]$
175350.x1	175350bs2	175350.x	175350bs	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 7 \cdot 167^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4676$	$12$	$0$	$1.211647404$	$1$		$4$	$294912$	$1.003172$	$181802454625/63252252$	$0.86417$	$2.94693$	$[1, 0, 1, -2951, -39202]$	$y^2+xy+y=x^3-2951x-39202$	2.3.0.a.1, 28.6.0.a.1, 668.6.0.?, 4676.12.0.?	$[(-33, 166)]$
175350.x2	175350bs1	175350.x	175350bs	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 167 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4676$	$12$	$0$	$2.423294809$	$1$		$3$	$147456$	$0.656599$	$1174241375/1178352$	$0.82110$	$2.52933$	$[1, 0, 1, 549, -4202]$	$y^2+xy+y=x^3+549x-4202$	2.3.0.a.1, 28.6.0.b.1, 334.6.0.?, 4676.12.0.?	$[(23, 132)]$
175350.y1	175350bk2	175350.y	175350bk	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{4} \cdot 3^{14} \cdot 5^{3} \cdot 7^{4} \cdot 167 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10020$	$12$	$0$	$0.464461352$	$1$		$10$	$1433600$	$1.712673$	$191969221606442909/30685003696368$	$0.93282$	$3.69575$	$[1, 0, 1, -60091, -4828522]$	$y^2+xy+y=x^3-60091x-4828522$	2.3.0.a.1, 60.6.0.c.1, 2004.6.0.?, 3340.6.0.?, 10020.12.0.?	$[(-173, 716)]$
175350.y2	175350bk1	175350.y	175350bk	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{8} \cdot 3^{7} \cdot 5^{3} \cdot 7^{2} \cdot 167^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10020$	$12$	$0$	$0.928922704$	$1$		$7$	$716800$	$1.366100$	$267226870258531/765099240192$	$0.91555$	$3.26476$	$[1, 0, 1, 6709, -419722]$	$y^2+xy+y=x^3+6709x-419722$	2.3.0.a.1, 30.6.0.a.1, 2004.6.0.?, 3340.6.0.?, 10020.12.0.?	$[(63, 472)]$
175350.z1	175350bl1	175350.z	175350bl	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{11} \cdot 3 \cdot 5^{3} \cdot 7^{5} \cdot 167 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$140280$	$2$	$0$	$1$	$1$		$0$	$425920$	$1.092379$	$-98182727434637/17244788736$	$0.88652$	$3.09007$	$[1, 0, 1, -4806, -146792]$	$y^2+xy+y=x^3-4806x-146792$	140280.2.0.?	$[]$
175350.ba1	175350bt3	175350.ba	175350bt	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{9} \cdot 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 167 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.9	2B	$6680$	$48$	$0$	$1$	$1$		$0$	$24772608$	$3.260826$	$1233864675106127856683588593/27488595456$	$1.08261$	$5.96599$	$[1, 0, 1, -558626176, 5081899329998]$	$y^2+xy+y=x^3-558626176x+5081899329998$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 40.24.0-8.p.1.4, 1336.24.0.?, $\ldots$	$[]$
175350.ba2	175350bt4	175350.ba	175350bt	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{9} \cdot 3^{2} \cdot 5^{6} \cdot 7^{8} \cdot 167^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.15	2B	$6680$	$48$	$0$	$1$	$1$		$0$	$24772608$	$3.260826$	$316393918884564908858353/20661539369919533568$	$1.05986$	$5.28119$	$[1, 0, 1, -35490176, 76646721998]$	$y^2+xy+y=x^3-35490176x+76646721998$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 20.12.0-4.c.1.1, 40.24.0-8.k.1.1, $\ldots$	$[]$
175350.ba3	175350bt2	175350.ba	175350bt	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{18} \cdot 3^{4} \cdot 5^{6} \cdot 7^{4} \cdot 167^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.3	2Cs	$6680$	$48$	$0$	$1$	$1$		$2$	$12386304$	$2.914249$	$301237516670332318563313/1421837758365696$	$1.06656$	$5.27712$	$[1, 0, 1, -34914176, 79402305998]$	$y^2+xy+y=x^3-34914176x+79402305998$	2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.2, 668.12.0.?, $\ldots$	$[]$
175350.ba4	175350bt1	175350.ba	175350bt	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{36} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 167 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.9	2B	$6680$	$48$	$0$	$1$	$4$	$2$	$1$	$6193152$	$2.567677$	$-69967989877865233393/5060983303176192$	$0.97487$	$4.59388$	$[1, 0, 1, -2146176, 1283393998]$	$y^2+xy+y=x^3-2146176x+1283393998$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 20.12.0-4.c.1.2, 40.24.0-8.p.1.1, $\ldots$	$[]$
175350.bb1	175350bm1	175350.bb	175350bm	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{8} \cdot 7 \cdot 167 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$7014$	$2$	$0$	$3.097065271$	$1$		$2$	$2116800$	$1.973223$	$-211630545625/376986451968$	$1.00127$	$3.89133$	$[1, 0, 1, -9076, -18466702]$	$y^2+xy+y=x^3-9076x-18466702$	7014.2.0.?	$[(481, 9167)]$
175350.bc1	175350bn1	175350.bc	175350bn	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{16} \cdot 3^{10} \cdot 5^{3} \cdot 7^{12} \cdot 167 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1670$	$2$	$0$	$1.153928488$	$1$		$4$	$65249280$	$3.726200$	$-379241667884120649893708831981/8945104718700136562688$	$1.02546$	$6.04051$	$[1, 0, 1, -753993236, -7969141945582]$	$y^2+xy+y=x^3-753993236x-7969141945582$	1670.2.0.?	$[(38817, 4590511)]$
175350.bd1	175350r2	175350.bd	175350r	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ 2^{4} \cdot 3^{2} \cdot 5^{3} \cdot 7^{8} \cdot 167 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10020$	$12$	$0$	$1.989746615$	$1$		$4$	$1507328$	$1.498489$	$310053669606470789/138631934448$	$0.93181$	$3.73545$	$[1, 1, 1, -70503, -7232019]$	$y^2+xy+y=x^3+x^2-70503x-7232019$	2.3.0.a.1, 60.6.0.c.1, 2004.6.0.?, 3340.6.0.?, 10020.12.0.?	$[(-155, 32)]$
175350.bd2	175350r1	175350.bd	175350r	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{8} \cdot 3 \cdot 5^{3} \cdot 7^{4} \cdot 167^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10020$	$12$	$0$	$0.994873307$	$1$		$9$	$753664$	$1.151915$	$-44924387574149/51426423552$	$0.89354$	$3.09375$	$[1, 1, 1, -3703, -151219]$	$y^2+xy+y=x^3+x^2-3703x-151219$	2.3.0.a.1, 30.6.0.a.1, 2004.6.0.?, 3340.6.0.?, 10020.12.0.?	$[(115, 922)]$
175350.be1	175350bc2	175350.be	175350bc	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 $	$ - 2^{6} \cdot 3^{4} \cdot 5^{9} \cdot 7^{2} \cdot 167^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$5010$	$16$	$0$	$0.788329282$	$1$		$4$	$11114496$	$2.788193$	$-92179830817053836729209/147883765176000$	$0.96970$	$5.17905$	$[1, 1, 1, -23527588, -43935112219]$	$y^2+xy+y=x^3+x^2-23527588x-43935112219$	3.4.0.a.1, 15.8.0-3.a.1.1, 1002.8.0.?, 1670.2.0.?, 5010.16.0.?	$[(19505, 2620497)]$

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 99 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 99 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