LMFDB - Elliptic curves over $\Q$ of conductor 382200

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 423 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
382200.a1	382200a1	382200.a	382200a	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{8} \cdot 3^{5} \cdot 5^{9} \cdot 7^{3} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5460$	$12$	$0$	$3.113484936$	$1$		$5$	$3481600$	$1.741049$	$111485936/41067$	$0.83996$	$3.45405$	$[0, -1, 0, -55708, -3032588]$	$y^2=x^3-x^2-55708x-3032588$	2.3.0.a.1, 156.6.0.?, 210.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(306, 2912)]$
382200.a2	382200a2	382200.a	382200a	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{10} \cdot 3^{10} \cdot 5^{9} \cdot 7^{3} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5460$	$12$	$0$	$6.226969873$	$1$		$3$	$6963200$	$2.087624$	$817345876/767637$	$0.89817$	$3.71688$	$[0, -1, 0, 171792, -21687588]$	$y^2=x^3-x^2+171792x-21687588$	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 910.6.0.?, 5460.12.0.?	$[(181, 3912)]$
382200.b1	382200b1	382200.b	382200b	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 7^{9} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$4874240$	$1.909285$	$111485936/41067$	$0.83996$	$3.61111$	$[0, -1, 0, -109188, 8408772]$	$y^2=x^3-x^2-109188x+8408772$	2.3.0.a.1, 156.6.0.?, 210.6.0.?, 1820.6.0.?, 5460.12.0.?	$[]$
382200.b2	382200b2	382200.b	382200b	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{10} \cdot 3^{10} \cdot 5^{3} \cdot 7^{9} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$4$	$2$	$1$	$9748480$	$2.255859$	$817345876/767637$	$0.89817$	$3.87395$	$[0, -1, 0, 336712, 59241372]$	$y^2=x^3-x^2+336712x+59241372$	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 910.6.0.?, 5460.12.0.?	$[]$
382200.c1	382200c1	382200.c	382200c	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{10} \cdot 3^{5} \cdot 5^{2} \cdot 7^{17} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1092$	$2$	$0$	$4.734138670$	$1$		$2$	$157132800$	$3.812035$	$-23510280441297426820/178402721548453857$	$1.02574$	$5.37408$	$[0, -1, 0, -86189448, 1157025446172]$	$y^2=x^3-x^2-86189448x+1157025446172$	1092.2.0.?	$[(-3502, 1189916)]$
382200.d1	382200d1	382200.d	382200d	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{10} \cdot 3 \cdot 5^{10} \cdot 7^{7} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1092$	$2$	$0$	$1$	$1$		$0$	$14653440$	$2.598396$	$-3827275300/46137$	$0.85955$	$4.41798$	$[0, -1, 0, -3440208, -2480283588]$	$y^2=x^3-x^2-3440208x-2480283588$	1092.2.0.?	$[]$
382200.e1	382200e1	382200.e	382200e	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 7^{9} \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$17694720$	$2.621178$	$9040887701683472/2380530789$	$0.95917$	$4.57374$	$[0, -1, 0, -6751628, 6753156852]$	$y^2=x^3-x^2-6751628x+6753156852$	2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.?	$[]$
382200.e2	382200e2	382200.e	382200e	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{10} \cdot 3^{10} \cdot 5^{3} \cdot 7^{12} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$35389440$	$2.967751$	$-1526394922573748/1174052430369$	$0.96934$	$4.60898$	$[0, -1, 0, -5923528, 8470636252]$	$y^2=x^3-x^2-5923528x+8470636252$	2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
382200.f1	382200f2	382200.f	382200f	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{11} \cdot 3 \cdot 5^{9} \cdot 7^{8} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$6.991531517$	$1$		$1$	$10076160$	$2.351887$	$50307514/24843$	$0.83745$	$4.00808$	$[0, -1, 0, -598208, 68402412]$	$y^2=x^3-x^2-598208x+68402412$	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(16033/4, 1393609/4)]$
382200.f2	382200f1	382200.f	382200f	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{10} \cdot 3^{2} \cdot 5^{9} \cdot 7^{7} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$3.495765758$	$1$		$3$	$5038080$	$2.005314$	$1203052/819$	$0.76271$	$3.66371$	$[0, -1, 0, 136792, 8132412]$	$y^2=x^3-x^2+136792x+8132412$	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[(838, 26656)]$
382200.g1	382200g1	382200.g	382200g	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{15} \cdot 5^{11} \cdot 7^{8} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$390$	$2$	$0$	$8.746790908$	$1$		$0$	$149990400$	$3.889969$	$-11083722100790228176/582924346875$	$0.98996$	$5.80542$	$[0, -1, 0, -1322113508, 18504668277012]$	$y^2=x^3-x^2-1322113508x+18504668277012$	390.2.0.?	$[(2531842/11, 44942500/11)]$
382200.h1	382200h1	382200.h	382200h	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{11} \cdot 3 \cdot 5^{6} \cdot 7^{9} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2184$	$2$	$0$	$9.075992878$	$1$		$0$	$27371520$	$2.896580$	$-59219479733906/382060497$	$0.96495$	$4.72083$	$[0, -1, 0, -12632608, 17382023212]$	$y^2=x^3-x^2-12632608x+17382023212$	2184.2.0.?	$[(319581/10, 98182721/10)]$
382200.i1	382200i1	382200.i	382200i	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{4} \cdot 3 \cdot 5^{9} \cdot 7^{9} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5460$	$12$	$0$	$10.24565281$	$1$		$1$	$5017600$	$2.075527$	$14047232/39$	$0.80777$	$3.98552$	$[0, -1, 0, -543083, -153494088]$	$y^2=x^3-x^2-543083x-153494088$	2.3.0.a.1, 140.6.0.?, 156.6.0.?, 2730.6.0.?, 5460.12.0.?	$[(21361/4, 2478113/4)]$
382200.i2	382200i2	382200.i	382200i	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{2} \cdot 5^{9} \cdot 7^{9} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5460$	$12$	$0$	$5.122826405$	$1$		$3$	$10035200$	$2.422100$	$-194672/1521$	$0.78906$	$4.07638$	$[0, -1, 0, -328708, -276116588]$	$y^2=x^3-x^2-328708x-276116588$	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[(4933, 343686)]$
382200.j1	382200j1	382200.j	382200j	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{4} \cdot 3 \cdot 5^{3} \cdot 7^{3} \cdot 13 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5460$	$12$	$0$	$2.987287777$	$1$		$11$	$143360$	$0.297853$	$14047232/39$	$0.80777$	$2.32591$	$[0, -1, 0, -443, 3732]$	$y^2=x^3-x^2-443x+3732$	2.3.0.a.1, 140.6.0.?, 156.6.0.?, 2730.6.0.?, 5460.12.0.?	$[(13, 1), (16, 22)]$
382200.j2	382200j2	382200.j	382200j	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{2} \cdot 5^{3} \cdot 7^{3} \cdot 13^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5460$	$12$	$0$	$0.746821944$	$1$		$25$	$286720$	$0.644427$	$-194672/1521$	$0.78906$	$2.41678$	$[0, -1, 0, -268, 6532]$	$y^2=x^3-x^2-268x+6532$	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[(16, 78), (-2, 84)]$
382200.k1	382200k4	382200.k	382200k	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{10} \cdot 3 \cdot 5^{7} \cdot 7^{7} \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1$	$1$		$1$	$11796480$	$2.479313$	$1307761493476/2998905$	$1.03626$	$4.36940$	$[0, -1, 0, -2813008, -1811413988]$	$y^2=x^3-x^2-2813008x-1811413988$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 84.12.0.?, 210.6.0.?, $\ldots$	$[]$
382200.k2	382200k3	382200.k	382200k	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{10} \cdot 3^{4} \cdot 5^{10} \cdot 7^{7} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1$	$1$		$1$	$11796480$	$2.479313$	$885341342596/4606875$	$0.88025$	$4.33905$	$[0, -1, 0, -2470008, 1488246012]$	$y^2=x^3-x^2-2470008x+1488246012$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 168.12.0.?, 312.12.0.?, $\ldots$	$[]$
382200.k3	382200k2	382200.k	382200k	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{8} \cdot 3^{2} \cdot 5^{8} \cdot 7^{8} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$5460$	$48$	$0$	$1$	$1$		$3$	$5898240$	$2.132736$	$3269383504/1863225$	$0.87917$	$3.79542$	$[0, -1, 0, -240508, -5518988]$	$y^2=x^3-x^2-240508x-5518988$	2.6.0.a.1, 20.12.0-2.a.1.1, 84.12.0.?, 156.12.0.?, 364.12.0.?, $\ldots$	$[]$
382200.k4	382200k1	382200.k	382200k	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{4} \cdot 3 \cdot 5^{7} \cdot 7^{10} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1$	$1$		$1$	$2949120$	$1.786163$	$796706816/468195$	$0.89421$	$3.46987$	$[0, -1, 0, 59617, -716988]$	$y^2=x^3-x^2+59617x-716988$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 84.12.0.?, 312.12.0.?, $\ldots$	$[]$
382200.l1	382200l3	382200.l	382200l	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{11} \cdot 3 \cdot 5^{6} \cdot 7^{7} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$5.072553828$	$1$		$3$	$7864320$	$2.330223$	$46640233586/599781$	$0.91168$	$4.16397$	$[0, -1, 0, -1166608, 479963212]$	$y^2=x^3-x^2-1166608x+479963212$	2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 104.12.0.?, 168.12.0.?, $\ldots$	$[(5577, 409150)]$
382200.l2	382200l2	382200.l	382200l	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 7^{8} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$10920$	$48$	$0$	$2.536276914$	$1$		$9$	$3932160$	$1.983650$	$153091012/74529$	$0.87596$	$3.66510$	$[0, -1, 0, -137608, -7782788]$	$y^2=x^3-x^2-137608x-7782788$	2.6.0.a.1, 60.12.0-2.a.1.1, 104.12.0.?, 168.12.0.?, 280.12.0.?, $\ldots$	$[(462, 5200)]$
382200.l3	382200l1	382200.l	382200l	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{8} \cdot 3 \cdot 5^{6} \cdot 7^{7} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$5.072553828$	$1$		$3$	$1966080$	$1.637077$	$340062928/273$	$0.82861$	$3.61934$	$[0, -1, 0, -113108, -14593788]$	$y^2=x^3-x^2-113108x-14593788$	2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 104.12.0.?, 168.12.0.?, $\ldots$	$[(1402, 50800)]$
382200.l4	382200l4	382200.l	382200l	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{11} \cdot 3^{4} \cdot 5^{6} \cdot 7^{10} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$5.072553828$	$1$		$3$	$7864320$	$2.330223$	$3658553134/2528253$	$0.92470$	$3.96594$	$[0, -1, 0, 499392, -60016788]$	$y^2=x^3-x^2+499392x-60016788$	2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 168.12.0.?, $\ldots$	$[(217, 7650)]$
382200.m1	382200m1	382200.m	382200m	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{8} \cdot 3^{6} \cdot 5^{9} \cdot 7^{12} \cdot 13^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1820$	$12$	$0$	$1$	$1$		$1$	$225607680$	$4.036171$	$65565618540844760336/188428167837$	$1.03991$	$6.01657$	$[0, -1, 0, -3267158708, -71877969906588]$	$y^2=x^3-x^2-3267158708x-71877969906588$	2.3.0.a.1, 130.6.0.?, 140.6.0.?, 364.6.0.?, 1820.12.0.?	$[]$
382200.m2	382200m2	382200.m	382200m	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{10} \cdot 3^{12} \cdot 5^{9} \cdot 7^{9} \cdot 13^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1820$	$12$	$0$	$1$	$4$	$2$	$1$	$451215360$	$4.382744$	$-15767094823546327124/879851321206767$	$1.04086$	$6.02071$	$[0, -1, 0, -3225141208, -73816741391588]$	$y^2=x^3-x^2-3225141208x-73816741391588$	2.3.0.a.1, 70.6.0.a.1, 260.6.0.?, 364.6.0.?, 1820.12.0.?	$[]$
382200.n1	382200n5	382200.n	382200n	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{11} \cdot 3^{6} \cdot 5^{6} \cdot 7^{7} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.5	2B	$21840$	$192$	$1$	$9.440331383$	$1$		$1$	$113246208$	$3.728962$	$1224522642327678150914/66339$	$1.03626$	$6.03045$	$[0, -1, 0, -3467318808, 78585996393612]$	$y^2=x^3-x^2-3467318808x+78585996393612$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0.g.1, 80.24.0.?, $\ldots$	$[(9832189/17, 38321724/17)]$
382200.n2	382200n3	382200.n	382200n	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{10} \cdot 3^{12} \cdot 5^{6} \cdot 7^{8} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.3	2Cs	$10920$	$192$	$1$	$4.720165691$	$1$		$5$	$56623104$	$3.382389$	$597914615076708388/4400862921$	$1.00735$	$5.38334$	$[0, -1, 0, -216707808, 1227955815612]$	$y^2=x^3-x^2-216707808x+1227955815612$	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 40.24.0-4.b.1.3, 56.24.0.h.2, $\ldots$	$[(9301, 129948)]$
382200.n3	382200n6	382200.n	382200n	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{11} \cdot 3^{24} \cdot 5^{6} \cdot 7^{7} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.5	2B	$21840$	$192$	$1$	$9.440331383$	$4$	$2$	$1$	$113246208$	$3.728962$	$-280880296871140514/25701087819771$	$1.00895$	$5.38990$	$[0, -1, 0, -212248808, 1280901981612]$	$y^2=x^3-x^2-212248808x+1280901981612$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 40.24.0-8.n.1.8, 48.24.0.g.1, $\ldots$	$[(73909/3, 8173396/3)]$
382200.n4	382200n4	382200.n	382200n	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 7^{8} \cdot 13^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.5	2B	$21840$	$192$	$1$	$4.720165691$	$1$		$3$	$56623104$	$3.382389$	$5807363790481348/1079211743883$	$0.99175$	$5.02279$	$[0, -1, 0, -46236808, -99691540388]$	$y^2=x^3-x^2-46236808x-99691540388$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 24.24.0.bl.1, $\ldots$	$[(-2499, 15548)]$
382200.n5	382200n2	382200.n	382200n	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 7^{10} \cdot 13^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.3	2Cs	$10920$	$192$	$1$	$2.360082845$	$1$		$9$	$28311552$	$3.035816$	$620742479063632/49991146569$	$0.96865$	$4.74099$	$[0, -1, 0, -13823308, 18358426612]$	$y^2=x^3-x^2-13823308x+18358426612$	2.6.0.a.1, 4.12.0.b.1, 12.24.0.c.1, 40.24.0-4.b.1.2, 56.24.0.h.1, $\ldots$	$[(-98, 140400)]$
382200.n6	382200n1	382200.n	382200n	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 7^{14} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.5	2B	$21840$	$192$	$1$	$4.720165691$	$1$		$3$	$14155776$	$2.689243$	$2587063175168/26304786963$	$1.01433$	$4.31734$	$[0, -1, 0, 882817, 1299321612]$	$y^2=x^3-x^2+882817x+1299321612$	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0.n.1, 12.12.0.g.1, $\ldots$	$[(772, 49400)]$
382200.o1	382200o1	382200.o	382200o	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{8} \cdot 3^{2} \cdot 5^{9} \cdot 7^{8} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1820$	$12$	$0$	$1$	$1$		$1$	$4423680$	$2.055737$	$11279504/5733$	$0.77946$	$3.72998$	$[0, -1, 0, -181708, -10340588]$	$y^2=x^3-x^2-181708x-10340588$	2.3.0.a.1, 130.6.0.?, 140.6.0.?, 364.6.0.?, 1820.12.0.?	$[]$
382200.o2	382200o2	382200.o	382200o	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{10} \cdot 3^{4} \cdot 5^{9} \cdot 7^{7} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1820$	$12$	$0$	$1$	$1$		$1$	$8847360$	$2.402309$	$145058764/95823$	$0.84995$	$4.03654$	$[0, -1, 0, 675792, -80655588]$	$y^2=x^3-x^2+675792x-80655588$	2.3.0.a.1, 70.6.0.a.1, 260.6.0.?, 364.6.0.?, 1820.12.0.?	$[]$
382200.p1	382200p1	382200.p	382200p	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{10} \cdot 3^{8} \cdot 5^{10} \cdot 7^{2} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$52$	$2$	$0$	$1$	$1$		$0$	$4331520$	$2.106270$	$-80850912100/85293$	$1.03946$	$4.04828$	$[0, -1, 0, -710208, -230343588]$	$y^2=x^3-x^2-710208x-230343588$	52.2.0.a.1	$[]$
382200.q1	382200q2	382200.q	382200q	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{8} \cdot 3^{5} \cdot 5^{9} \cdot 7^{3} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5460$	$12$	$0$	$3.105329782$	$1$		$5$	$12902400$	$2.523685$	$2065870199248112/3159$	$0.97835$	$4.75600$	$[0, -1, 0, -14741708, 21790529412]$	$y^2=x^3-x^2-14741708x+21790529412$	2.3.0.a.1, 140.6.0.?, 156.6.0.?, 2730.6.0.?, 5460.12.0.?	$[(2218, 76)]$
382200.q2	382200q1	382200.q	382200q	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{4} \cdot 3^{10} \cdot 5^{9} \cdot 7^{3} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1.552664891$	$1$		$7$	$6451200$	$2.177113$	$-8062622799872/9979281$	$0.97267$	$4.10898$	$[0, -1, 0, -921083, 340919412]$	$y^2=x^3-x^2-921083x+340919412$	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[(517, 1625)]$
382200.r1	382200r2	382200.r	382200r	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 7^{9} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$4$	$2$	$1$	$18063360$	$2.691921$	$2065870199248112/3159$	$0.97835$	$4.91306$	$[0, -1, 0, -28893748, -59770097708]$	$y^2=x^3-x^2-28893748x-59770097708$	2.3.0.a.1, 140.6.0.?, 156.6.0.?, 2730.6.0.?, 5460.12.0.?	$[]$
382200.r2	382200r1	382200.r	382200r	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{4} \cdot 3^{10} \cdot 5^{3} \cdot 7^{9} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$9031680$	$2.345348$	$-8062622799872/9979281$	$0.97267$	$4.26605$	$[0, -1, 0, -1805323, -934038608]$	$y^2=x^3-x^2-1805323x-934038608$	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[]$
382200.s1	382200s1	382200.s	382200s	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{10} \cdot 3^{8} \cdot 5^{4} \cdot 7^{8} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$52$	$2$	$0$	$0.620832538$	$1$		$4$	$6064128$	$2.274506$	$-80850912100/85293$	$1.03946$	$4.20534$	$[0, -1, 0, -1392008, 633176412]$	$y^2=x^3-x^2-1392008x+633176412$	52.2.0.a.1	$[(2042, 79380)]$
382200.t1	382200t2	382200.t	382200t	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{11} \cdot 3^{2} \cdot 5^{3} \cdot 7^{20} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$4$	$2$	$1$	$86704128$	$3.552925$	$30222460127634675514/79352099523333$	$1.00581$	$5.36682$	$[0, -1, 0, -201903928, 1101804010252]$	$y^2=x^3-x^2-201903928x+1101804010252$	2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.?	$[]$
382200.t2	382200t1	382200.t	382200t	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{10} \cdot 3 \cdot 5^{3} \cdot 7^{13} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$43352064$	$3.206352$	$60330571443221291348/417536301$	$1.00575$	$5.36667$	$[0, -1, 0, -201776528, 1103266817052]$	$y^2=x^3-x^2-201776528x+1103266817052$	2.3.0.a.1, 210.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.?	$[]$
382200.u1	382200u4	382200.u	382200u	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{10} \cdot 3 \cdot 5^{10} \cdot 7^{10} \cdot 13 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$10920$	$48$	$0$	$11.73329534$	$1$		$11$	$11796480$	$2.552444$	$206081497444/58524375$	$1.02694$	$4.22564$	$[0, -1, 0, -1519408, -513933188]$	$y^2=x^3-x^2-1519408x-513933188$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 140.12.0.?, 156.12.0.?, $\ldots$	$[(1398, 9604), (1497, 23750)]$
382200.u2	382200u2	382200.u	382200u	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{8} \cdot 3^{2} \cdot 5^{8} \cdot 7^{8} \cdot 13^{2} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$5460$	$48$	$0$	$2.933323836$	$1$		$31$	$5898240$	$2.205872$	$42140629456/1863225$	$0.83594$	$3.99430$	$[0, -1, 0, -563908, 156827812]$	$y^2=x^3-x^2-563908x+156827812$	2.6.0.a.1, 4.12.0-2.a.1.1, 140.24.0.?, 156.24.0.?, 5460.48.0.?	$[(112, 9750), (166, 8232)]$
382200.u3	382200u1	382200.u	382200u	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{4} \cdot 3 \cdot 5^{7} \cdot 7^{7} \cdot 13 $	$2$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$10920$	$48$	$0$	$11.73329534$	$1$		$15$	$2949120$	$1.859297$	$652517349376/1365$	$0.88768$	$3.99175$	$[0, -1, 0, -557783, 160527312]$	$y^2=x^3-x^2-557783x+160527312$	2.3.0.a.1, 4.12.0-4.c.1.1, 280.24.0.?, 312.24.0.?, 2730.6.0.?, $\ldots$	$[(457, 925), (448, 596)]$
382200.u4	382200u3	382200.u	382200u	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 7^{7} \cdot 13^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$10920$	$48$	$0$	$2.933323836$	$1$		$17$	$11796480$	$2.552444$	$1486779836/80970435$	$0.91190$	$4.19468$	$[0, -1, 0, 293592, 590722812]$	$y^2=x^3-x^2+293592x+590722812$	2.3.0.a.1, 4.12.0-4.c.1.2, 70.6.0.a.1, 140.24.0.?, 312.24.0.?, $\ldots$	$[(-138, 23400), (798, 36504)]$
382200.v1	382200v4	382200.v	382200v	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{10} \cdot 3 \cdot 5^{7} \cdot 7^{8} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.5	2B	$21840$	$192$	$1$	$21.94383124$	$4$	$2$	$1$	$37748736$	$3.146942$	$914732517663095044/9555$	$0.96967$	$5.41641$	$[0, -1, 0, -249704408, -1518670741188]$	$y^2=x^3-x^2-249704408x-1518670741188$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.3, 80.24.0.?, $\ldots$	$[(11451878977/776, 365017789981375/776)]$
382200.v2	382200v5	382200.v	382200v	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{11} \cdot 3^{2} \cdot 5^{8} \cdot 7^{7} \cdot 13^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.5	2B	$21840$	$192$	$1$	$2.742978906$	$1$		$3$	$75497472$	$3.493515$	$24385137179326562/1284775885575$	$0.95634$	$5.18835$	$[0, -1, 0, -93982408, 334372352812]$	$y^2=x^3-x^2-93982408x+334372352812$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.4, 40.24.0-8.n.1.9, $\ldots$	$[(19297, 2388750)]$
382200.v3	382200v3	382200.v	382200v	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{10} \cdot 3^{4} \cdot 5^{10} \cdot 7^{8} \cdot 13^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.3	2Cs	$10920$	$192$	$1$	$5.485957812$	$1$		$5$	$37748736$	$3.146942$	$278944461825124/70849130625$	$0.93241$	$4.78661$	$[0, -1, 0, -16807408, -19860897188]$	$y^2=x^3-x^2-16807408x-19860897188$	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.8, 40.24.0-4.b.1.6, 56.24.0.e.1, $\ldots$	$[(55557, 13058500)]$
382200.v4	382200v2	382200.v	382200v	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{8} \cdot 3^{2} \cdot 5^{8} \cdot 7^{10} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.3	2Cs	$10920$	$192$	$1$	$10.97191562$	$1$		$3$	$18874368$	$2.800365$	$893359210685776/91298025$	$0.92311$	$4.76931$	$[0, -1, 0, -15606908, -23724106188]$	$y^2=x^3-x^2-15606908x-23724106188$	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.7, 40.24.0-4.b.1.4, 56.24.0.l.1, $\ldots$	$[(903553/8, 820753375/8)]$

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 423 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 423 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