LMFDB - Elliptic curves over $\Q$ of conductor 33810

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 208 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
33810.a1	33810g2	33810.a	33810g	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2 \cdot 3^{4} \cdot 5^{4} \cdot 7^{8} \cdot 23 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1.874028633$	$1$		$12$	$98304$	$1.253145$	$1061520150601/114108750$	$1.03168$	$3.77486$	$[1, 1, 0, -10413, 364743]$	$y^2+xy=x^3+x^2-10413x+364743$	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(-1, 613), (99, 513)]$
33810.a2	33810g1	33810.a	33810g	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{7} \cdot 23^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1288$	$12$	$0$	$0.468507158$	$1$		$29$	$49152$	$0.906572$	$590589719/3332700$	$0.85136$	$3.26425$	$[1, 1, 0, 857, 28897]$	$y^2+xy=x^3+x^2+857x+28897$	2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.?	$[(-8, 151), (1, 172)]$
33810.b1	33810f1	33810.b	33810f	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{10} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 23 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$230$	$2$	$0$	$1.958613267$	$1$		$8$	$62400$	$0.897733$	$3963575296919/6953610240$	$0.93064$	$3.22278$	$[1, 1, 0, 1207, 23493]$	$y^2+xy=x^3+x^2+1207x+23493$	230.2.0.?	$[(-7, 125), (-14, 71)]$
33810.c1	33810m4	33810.c	33810m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{4} \cdot 3 \cdot 5^{20} \cdot 7^{8} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$17.57711170$	$1$		$0$	$5898240$	$3.262196$	$13167998447866683762601/5158996582031250000$	$1.06561$	$6.00350$	$[1, 1, 0, -24106163, 25880486493]$	$y^2+xy=x^3+x^2-24106163x+25880486493$	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.ba.1, 138.6.0.?, $\ldots$	$[(298851367/37, 5159524248365/37)]$
33810.c2	33810m2	33810.c	33810m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{8} \cdot 3^{2} \cdot 5^{10} \cdot 7^{10} \cdot 23^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$9660$	$48$	$0$	$8.788555853$	$1$		$4$	$2949120$	$2.915623$	$1201550658189465626281/28577902500000000$	$0.99239$	$5.77392$	$[1, 1, 0, -10852643, -13479817203]$	$y^2+xy=x^3+x^2-10852643x-13479817203$	2.6.0.a.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 140.24.0.?, 276.12.0.?, $\ldots$	$[(218287, 101865761)]$
33810.c3	33810m1	33810.c	33810m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{16} \cdot 3 \cdot 5^{5} \cdot 7^{8} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$17.57711170$	$1$		$1$	$1474560$	$2.569050$	$1180838681727016392361/692428800000$	$0.99191$	$5.77225$	$[1, 1, 0, -10789923, -13646414067]$	$y^2+xy=x^3+x^2-10789923x-13646414067$	2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$	$[(291012167/73, 4944636937600/73)]$
33810.c4	33810m3	33810.c	33810m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{4} \cdot 3^{4} \cdot 5^{5} \cdot 7^{14} \cdot 23^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$4.394277926$	$1$		$4$	$5898240$	$3.262196$	$2564821295690373719/6533572090396050000$	$1.05786$	$5.98872$	$[1, 1, 0, 1397357, -42176667203]$	$y^2+xy=x^3+x^2+1397357x-42176667203$	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 28.12.0-4.c.1.2, 140.24.0.?, $\ldots$	$[(3387, 36061)]$
33810.d1	33810e1	33810.d	33810e	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{10} \cdot 3 \cdot 5 \cdot 7^{9} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$		$1$	$179200$	$1.577065$	$409014195967/8125440$	$0.89803$	$4.24319$	$[1, 1, 0, -53043, 4598637]$	$y^2+xy=x^3+x^2-53043x+4598637$	2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.?	$[]$
33810.d2	33810e2	33810.d	33810e	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7^{9} \cdot 23^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$		$0$	$358400$	$1.923637$	$16974593/2014855200$	$1.05021$	$4.44855$	$[1, 1, 0, 1837, 13719693]$	$y^2+xy=x^3+x^2+1837x+13719693$	2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.?	$[]$
33810.e1	33810h2	33810.e	33810h	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$19320$	$16$	$0$	$1.969085303$	$1$		$0$	$95904$	$1.220270$	$5490138280852426201/2760$	$0.98533$	$4.51084$	$[1, 1, 0, -134488, 18927448]$	$y^2+xy=x^3+x^2-134488x+18927448$	3.4.0.a.1, 21.8.0-3.a.1.2, 2760.8.0.?, 19320.16.0.?	$[(3381/4, -6761/4)]$
33810.e2	33810h1	33810.e	33810h	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2 \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$19320$	$16$	$0$	$0.656361767$	$1$		$4$	$31968$	$0.670965$	$10389923853001/82127250$	$0.91367$	$3.24722$	$[1, 1, 0, -1663, 25243]$	$y^2+xy=x^3+x^2-1663x+25243$	3.4.0.a.1, 21.8.0-3.a.1.1, 2760.8.0.?, 19320.16.0.?	$[(21, 1)]$
33810.f1	33810d2	33810.f	33810d	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2 \cdot 3^{4} \cdot 5 \cdot 7^{3} \cdot 23^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$6440$	$12$	$0$	$2.470472684$	$1$		$12$	$14336$	$0.358227$	$21184951663/428490$	$1.09877$	$2.83974$	$[1, 1, 0, -403, -3233]$	$y^2+xy=x^3+x^2-403x-3233$	2.3.0.a.1, 280.6.0.?, 644.6.0.?, 920.6.0.?, 6440.12.0.?	$[(-11, 1), (-13, 2)]$
33810.f2	33810d1	33810.f	33810d	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{3} \cdot 23 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$6440$	$12$	$0$	$0.617618171$	$1$		$25$	$7168$	$0.011653$	$49430863/20700$	$0.81905$	$2.25860$	$[1, 1, 0, -53, 57]$	$y^2+xy=x^3+x^2-53x+57$	2.3.0.a.1, 280.6.0.?, 322.6.0.?, 920.6.0.?, 6440.12.0.?	$[(-1, 11), (1, 2)]$
33810.g1	33810c3	33810.g	33810c	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{6} \cdot 3 \cdot 5 \cdot 7^{12} \cdot 23^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19320$	$96$	$1$	$1$	$1$		$1$	$414720$	$1.994112$	$2662558086295801/1374177967680$	$0.96075$	$4.52543$	$[1, 1, 0, -141488, 6677952]$	$y^2+xy=x^3+x^2-141488x+6677952$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0-6.a.1.2, $\ldots$	$[]$
33810.g2	33810c1	33810.g	33810c	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 7^{8} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19320$	$96$	$1$	$1$	$1$		$1$	$138240$	$1.444805$	$463702796512201/15214500$	$0.92207$	$4.35783$	$[1, 1, 0, -79013, -8581383]$	$y^2+xy=x^3+x^2-79013x-8581383$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0-6.a.1.10, $\ldots$	$[]$
33810.g3	33810c2	33810.g	33810c	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2 \cdot 3^{6} \cdot 5^{6} \cdot 7^{7} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19320$	$96$	$1$	$1$	$1$		$0$	$276480$	$1.791378$	$-405897921250921/84358968750$	$0.92574$	$4.37449$	$[1, 1, 0, -75583, -9355877]$	$y^2+xy=x^3+x^2-75583x-9355877$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0-6.a.1.5, $\ldots$	$[]$
33810.g4	33810c4	33810.g	33810c	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{9} \cdot 23^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19320$	$96$	$1$	$1$	$1$		$0$	$829440$	$2.340687$	$140574743422291079/91397357868600$	$0.98167$	$4.90578$	$[1, 1, 0, 530792, 52527448]$	$y^2+xy=x^3+x^2+530792x+52527448$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0-6.a.1.13, $\ldots$	$[]$
33810.h1	33810b1	33810.h	33810b	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{9} \cdot 3^{25} \cdot 5 \cdot 7^{8} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2760$	$2$	$0$	$1$	$1$		$0$	$5594400$	$3.202969$	$143854393630949720089/49888353324003840$	$1.00780$	$5.94357$	$[1, 1, 0, -19573173, -21107451987]$	$y^2+xy=x^3+x^2-19573173x-21107451987$	2760.2.0.?	$[]$
33810.i1	33810a1	33810.i	33810a	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{9} \cdot 3 \cdot 5^{7} \cdot 7^{4} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2760$	$2$	$0$	$2.680040666$	$1$		$2$	$102816$	$1.267490$	$208363453061449/2760000000$	$0.95155$	$3.90793$	$[1, 1, 0, -16538, -816108]$	$y^2+xy=x^3+x^2-16538x-816108$	2760.2.0.?	$[(-71, 116)]$
33810.j1	33810i2	33810.j	33810i	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2 \cdot 3^{10} \cdot 5^{2} \cdot 7^{8} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$2.141792153$	$1$		$4$	$184320$	$1.498274$	$8341959848041/3327411150$	$0.91008$	$3.97255$	$[1, 1, 0, -20703, -647793]$	$y^2+xy=x^3+x^2-20703x-647793$	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[(-113, 571)]$
33810.j2	33810i1	33810.j	33810i	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{2} \cdot 3^{5} \cdot 5 \cdot 7^{7} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1.070896076$	$1$		$7$	$92160$	$1.151701$	$789145184521/17996580$	$0.87547$	$3.74643$	$[1, 1, 0, -9433, 341713]$	$y^2+xy=x^3+x^2-9433x+341713$	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(48, 25)]$
33810.k1	33810j1	33810.k	33810j	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{6} \cdot 3^{7} \cdot 5^{3} \cdot 7^{9} \cdot 23^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$6.251123290$	$1$		$3$	$1354752$	$2.584484$	$8698983351369247/4896098136000$	$1.01117$	$5.19874$	$[1, 1, 0, -1469633, -114164427]$	$y^2+xy=x^3+x^2-1469633x-114164427$	2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.?	$[(14826, 1791831)]$
33810.k2	33810j2	33810.k	33810j	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{3} \cdot 3^{14} \cdot 5^{6} \cdot 7^{9} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$12.50224658$	$1$		$0$	$2709504$	$2.931057$	$531474461802274913/316273825125000$	$1.09867$	$5.59309$	$[1, 1, 0, 5788247, -899467043]$	$y^2+xy=x^3+x^2+5788247x-899467043$	2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.?	$[(1193017/9, 1314851698/9)]$
33810.l1	33810l4	33810.l	33810l	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{6} \cdot 3^{7} \cdot 5^{12} \cdot 7^{8} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$24.92799723$	$1$		$0$	$61931520$	$4.380684$	$65853432878493908038433301506521/38511703125000000$	$1.05362$	$8.14502$	$[1, 1, 0, -41223764558, 3221567769308148]$	$y^2+xy=x^3+x^2-41223764558x+3221567769308148$	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.ba.1, 138.6.0.?, $\ldots$	$[(19492944267373/12871, 436104580814273297/12871)]$
33810.l2	33810l2	33810.l	33810l	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{12} \cdot 3^{14} \cdot 5^{6} \cdot 7^{10} \cdot 23^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$9660$	$48$	$0$	$12.46399861$	$1$		$2$	$30965760$	$4.034111$	$16077778198622525072705635801/388799208512064000000$	$1.03741$	$7.34742$	$[1, 1, 0, -2576500238, 50335577719092]$	$y^2+xy=x^3+x^2-2576500238x+50335577719092$	2.6.0.a.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 140.24.0.?, 276.12.0.?, $\ldots$	$[(133130917/61, 447264301907/61)]$
33810.l3	33810l3	33810.l	33810l	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{6} \cdot 3^{28} \cdot 5^{3} \cdot 7^{8} \cdot 23^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$6.231999308$	$1$		$2$	$61931520$	$4.380684$	$-14346048055032350809895395801/2509530875136386550792000$	$1.03919$	$7.36182$	$[1, 1, 0, -2480460238, 54261251135092]$	$y^2+xy=x^3+x^2-2480460238x+54261251135092$	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 28.12.0-4.c.1.2, 140.24.0.?, $\ldots$	$[(91377, 24256376)]$
33810.l4	33810l1	33810.l	33810l	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{24} \cdot 3^{7} \cdot 5^{3} \cdot 7^{14} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$24.92799723$	$1$		$1$	$15482880$	$3.687538$	$4381924769947287308715481/608122186185572352000$	$1.01997$	$6.56038$	$[1, 1, 0, -167048718, 724489031988]$	$y^2+xy=x^3+x^2-167048718x+724489031988$	2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$	$[(2286473250956/21311, 996122967539898566/21311)]$
33810.m1	33810k4	33810.m	33810k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{2} \cdot 3 \cdot 5^{4} \cdot 7^{6} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1.746299111$	$1$		$4$	$98304$	$1.312880$	$353108405631241/172500$	$0.97232$	$4.33171$	$[1, 1, 0, -72153, 7429857]$	$y^2+xy=x^3+x^2-72153x+7429857$	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.ba.1, 138.6.0.?, $\ldots$	$[(161, 57)]$
33810.m2	33810k2	33810.m	33810k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 23^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$9660$	$48$	$0$	$0.873149555$	$1$		$14$	$49152$	$0.966305$	$87587538121/1904400$	$0.91574$	$3.53563$	$[1, 1, 0, -4533, 113373]$	$y^2+xy=x^3+x^2-4533x+113373$	2.6.0.a.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 140.24.0.?, 276.12.0.?, $\ldots$	$[(6, 291)]$
33810.m3	33810k1	33810.m	33810k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{8} \cdot 3 \cdot 5 \cdot 7^{6} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1.746299111$	$1$		$7$	$24576$	$0.619732$	$217081801/88320$	$0.87548$	$2.96027$	$[1, 1, 0, -613, -3443]$	$y^2+xy=x^3+x^2-613x-3443$	2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$	$[(-6, 11)]$
33810.m4	33810k3	33810.m	33810k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{2} \cdot 3^{4} \cdot 5 \cdot 7^{6} \cdot 23^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$0.436574777$	$1$		$8$	$98304$	$1.312880$	$46268279/453342420$	$1.04877$	$3.74572$	$[1, 1, 0, 367, 351513]$	$y^2+xy=x^3+x^2+367x+351513$	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 28.12.0-4.c.1.2, 140.24.0.?, $\ldots$	$[(-29, 578)]$
33810.n1	33810n1	33810.n	33810n	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{7} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$552$	$2$	$0$	$1.222208756$	$1$		$4$	$8064$	$0.038137$	$307908839/220800$	$0.84420$	$2.24741$	$[1, 1, 0, 52, -48]$	$y^2+xy=x^3+x^2+52x-48$	552.2.0.?	$[(1, 2)]$
33810.o1	33810x1	33810.o	33810x	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{21} \cdot 3^{7} \cdot 5^{18} \cdot 7^{2} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$552$	$2$	$0$	$1$	$1$		$0$	$10160640$	$3.535828$	$78958967971393932466594151/402408000000000000000000$	$1.05555$	$6.28831$	$[1, 1, 0, 32705788, -201134658864]$	$y^2+xy=x^3+x^2+32705788x-201134658864$	552.2.0.?	$[]$
33810.p1	33810o1	33810.p	33810o	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{2} \cdot 3^{2} \cdot 5^{5} \cdot 7^{4} \cdot 23 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$230$	$2$	$0$	$0.071743761$	$1$		$34$	$39360$	$0.670632$	$-125720594041/2587500$	$1.02823$	$3.20045$	$[1, 1, 0, -1397, 19881]$	$y^2+xy=x^3+x^2-1397x+19881$	230.2.0.?	$[(-8, 179), (17, 29)]$
33810.q1	33810w4	33810.q	33810w	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{3} \cdot 3^{5} \cdot 5^{4} \cdot 7^{6} \cdot 23^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$0$	$737280$	$2.062096$	$133345896593725369/340006815000$	$1.00095$	$4.90072$	$[1, 1, 0, -521532, -144864936]$	$y^2+xy=x^3+x^2-521532x-144864936$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 56.12.0-4.c.1.1, 84.12.0.?, $\ldots$	$[]$
33810.q2	33810w2	33810.q	33810w	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{6} \cdot 3^{10} \cdot 5^{2} \cdot 7^{6} \cdot 23^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$19320$	$48$	$0$	$1$	$1$		$2$	$368640$	$1.715523$	$87109155423289/49979073600$	$1.03862$	$4.19750$	$[1, 1, 0, -45252, -361584]$	$y^2+xy=x^3+x^2-45252x-361584$	2.6.0.a.1, 24.12.0.b.1, 56.12.0-2.a.1.1, 84.12.0.?, 168.24.0.?, $\ldots$	$[]$
33810.q3	33810w1	33810.q	33810w	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{12} \cdot 3^{5} \cdot 5 \cdot 7^{6} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$184320$	$1.368948$	$24310870577209/114462720$	$0.95668$	$4.07512$	$[1, 1, 0, -29572, 1937104]$	$y^2+xy=x^3+x^2-29572x+1937104$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 56.12.0-4.c.1.4, 84.12.0.?, $\ldots$	$[]$
33810.q4	33810w3	33810.q	33810w	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{3} \cdot 3^{20} \cdot 5 \cdot 7^{6} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$4$	$2$	$0$	$737280$	$2.062096$	$5495662324535111/3207841648920$	$1.05494$	$4.59492$	$[1, 1, 0, 180148, -2660664]$	$y^2+xy=x^3+x^2+180148x-2660664$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 56.12.0-4.c.1.2, 168.24.0.?, $\ldots$	$[]$
33810.r1	33810q1	33810.r	33810q	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{7} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3220$	$12$	$0$	$0.532546297$	$1$		$9$	$36864$	$0.776757$	$1439069689/579600$	$0.82825$	$3.14165$	$[1, 1, 0, -1152, -8784]$	$y^2+xy=x^3+x^2-1152x-8784$	2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.?	$[(-15, 81)]$
33810.r2	33810q2	33810.r	33810q	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{2} \cdot 3^{4} \cdot 5 \cdot 7^{8} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1.065092594$	$1$		$6$	$73728$	$1.123331$	$49471280711/41992020$	$0.87372$	$3.48085$	$[1, 1, 0, 3748, -58764]$	$y^2+xy=x^3+x^2+3748x-58764$	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[(55, 536)]$
33810.s1	33810r1	33810.s	33810r	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{17} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 23^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2760$	$2$	$0$	$12.49225299$	$1$		$0$	$514080$	$2.148636$	$196673474890182710329/9225032263925760$	$0.99992$	$4.85399$	$[1, 1, 0, -443342, 108734004]$	$y^2+xy=x^3+x^2-443342x+108734004$	2760.2.0.?	$[(94945/23, 70873441/23)]$
33810.t1	33810u2	33810.t	33810u	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{9} \cdot 3^{3} \cdot 5^{3} \cdot 7^{10} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$19320$	$16$	$0$	$1$	$1$		$0$	$2449440$	$2.828411$	$57800172184782640249/39744000$	$1.05432$	$6.22933$	$[1, 1, 0, -52852062, 147868732404]$	$y^2+xy=x^3+x^2-52852062x+147868732404$	3.4.0.a.1, 21.8.0-3.a.1.2, 2760.8.0.?, 19320.16.0.?	$[]$
33810.t2	33810u1	33810.t	33810u	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{3} \cdot 3^{9} \cdot 5 \cdot 7^{10} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$19320$	$16$	$0$	$1$	$1$		$0$	$816480$	$2.279106$	$115826135082889/9579322440$	$1.00731$	$4.97120$	$[1, 1, 0, -666327, 193539501]$	$y^2+xy=x^3+x^2-666327x+193539501$	3.4.0.a.1, 21.8.0-3.a.1.1, 2760.8.0.?, 19320.16.0.?	$[]$
33810.u1	33810p1	33810.u	33810p	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{30} \cdot 3^{5} \cdot 5^{5} \cdot 7^{8} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$4.931143068$	$1$		$3$	$3456000$	$3.121204$	$2625564132023811051529/918925030195200000$	$1.00410$	$5.84887$	$[1, 1, 0, -14083017, -12794033979]$	$y^2+xy=x^3+x^2-14083017x-12794033979$	2.3.0.a.1, 56.6.0.c.1, 690.6.0.?, 19320.12.0.?	$[(7307, 520279)]$
33810.u2	33810p2	33810.u	33810p	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{15} \cdot 3^{10} \cdot 5^{10} \cdot 7^{7} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$2.465571534$	$1$		$4$	$6912000$	$3.467777$	$70213095586874240921591/69970703040000000000$	$1.01901$	$6.16399$	$[1, 1, 0, 42114103, -89368229691]$	$y^2+xy=x^3+x^2+42114103x-89368229691$	2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.?	$[(4073, 384941)]$
33810.v1	33810t4	33810.v	33810t	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{15} \cdot 3^{4} \cdot 5^{12} \cdot 7^{12} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$3864$	$96$	$1$	$1$	$1$		$0$	$13271040$	$3.738743$	$3029968325354577848895529/1753440696000000000000$	$1.13743$	$6.52500$	$[1, 1, 0, -147718267, -1957264931]$	$y^2+xy=x^3+x^2-147718267x-1957264931$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 21.8.0-3.a.1.2, $\ldots$	$[]$
33810.v2	33810t2	33810.v	33810t	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{5} \cdot 3^{12} \cdot 5^{4} \cdot 7^{8} \cdot 23^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$3864$	$96$	$1$	$1$	$1$		$0$	$4423680$	$3.189438$	$986396822567235411402169/6336721794060000$	$1.01331$	$6.41739$	$[1, 1, 0, -101618332, -394321479824]$	$y^2+xy=x^3+x^2-101618332x-394321479824$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 21.8.0-3.a.1.1, $\ldots$	$[]$
33810.v3	33810t1	33810.v	33810t	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{7} \cdot 23^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$3864$	$96$	$1$	$1$	$1$		$1$	$2211840$	$2.842865$	$-227196402372228188089/19338934824115200$	$0.98736$	$5.62736$	$[1, 1, 0, -6229052, -6411433776]$	$y^2+xy=x^3+x^2-6229052x-6411433776$	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 14.6.0.b.1, 21.8.0-3.a.1.1, $\ldots$	$[]$
33810.v4	33810t3	33810.v	33810t	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{30} \cdot 3^{2} \cdot 5^{6} \cdot 7^{9} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$3864$	$96$	$1$	$1$	$1$		$1$	$6635520$	$3.392170$	$47342661265381757089751/27397579603968000000$	$1.13273$	$6.12620$	$[1, 1, 0, 36929413, -221576739]$	$y^2+xy=x^3+x^2+36929413x-221576739$	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 14.6.0.b.1, 21.8.0-3.a.1.2, $\ldots$	$[]$
33810.w1	33810v4	33810.w	33810v	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2 \cdot 3 \cdot 5^{4} \cdot 7^{8} \cdot 23^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$0$	$294912$	$1.773960$	$692895692874169/51420783750$	$0.92630$	$4.39635$	$[1, 1, 0, -90332, -9794574]$	$y^2+xy=x^3+x^2-90332x-9794574$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 56.12.0-4.c.1.1, 84.12.0.?, $\ldots$	$[]$

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 208 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 208 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