LMFDB - Elliptic curves over $\Q$ of conductor 12144

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 76 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
12144.a1	12144r2	12144.a	12144r	$2$	$2$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{5} \cdot 11^{2} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3036$	$12$	$0$	$1$	$1$		$1$	$11520$	$0.648108$	$1136150003536/15554187$	$0.88808$	$3.54123$	$[0, -1, 0, -1380, -19044]$	$y^2=x^3-x^2-1380x-19044$	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[]$
12144.a2	12144r1	12144.a	12144r	$2$	$2$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3^{10} \cdot 11 \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3036$	$12$	$0$	$1$	$1$		$1$	$5760$	$0.301534$	$31238127616/14939397$	$1.00600$	$2.86429$	$[0, -1, 0, -165, 396]$	$y^2=x^3-x^2-165x+396$	2.3.0.a.1, 12.6.0.b.1, 506.6.0.?, 3036.12.0.?	$[]$
12144.b1	12144z2	12144.b	12144z	$2$	$3$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{15} \cdot 3^{2} \cdot 11^{3} \cdot 23^{3} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$6072$	$16$	$0$	$0.092868635$	$1$		$28$	$62208$	$1.469877$	$12284337086925553/1165987944$	$0.96988$	$4.82369$	$[0, -1, 0, -76912, 8234944]$	$y^2=x^3-x^2-76912x+8234944$	3.4.0.a.1, 12.8.0-3.a.1.2, 2024.2.0.?, 6072.16.0.?	$[(-168, 4048), (184, 528)]$
12144.b2	12144z1	12144.b	12144z	$2$	$3$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{21} \cdot 3^{6} \cdot 11 \cdot 23 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$6072$	$16$	$0$	$0.835817719$	$1$		$14$	$20736$	$0.920570$	$226646274673/94431744$	$0.91815$	$3.66464$	$[0, -1, 0, -2032, -17984]$	$y^2=x^3-x^2-2032x-17984$	3.4.0.a.1, 12.8.0-3.a.1.1, 2024.2.0.?, 6072.16.0.?	$[(-24, 128), (232, 3456)]$
12144.c1	12144x2	12144.c	12144x	$2$	$3$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{27} \cdot 3^{4} \cdot 11^{3} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$6072$	$16$	$0$	$0.705530144$	$1$		$6$	$207360$	$2.327801$	$4710588959856854135593/81253269504$	$1.02029$	$6.19079$	$[0, -1, 0, -5587752, 5085842544]$	$y^2=x^3-x^2-5587752x+5085842544$	3.4.0.a.1, 12.8.0-3.a.1.2, 2024.2.0.?, 6072.16.0.?	$[(1362, 198)]$
12144.c2	12144x1	12144.c	12144x	$2$	$3$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{17} \cdot 3^{12} \cdot 11 \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$6072$	$16$	$0$	$2.116590432$	$1$		$4$	$69120$	$1.778494$	$10621450496611513/2276047011744$	$0.97507$	$4.80823$	$[0, -1, 0, -73272, 6082416]$	$y^2=x^3-x^2-73272x+6082416$	3.4.0.a.1, 12.8.0-3.a.1.1, 2024.2.0.?, 6072.16.0.?	$[(-294, 1458)]$
12144.d1	12144f1	12144.d	12144f	$1$	$1$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{7} \cdot 11 \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1518$	$2$	$0$	$3.098559217$	$1$		$2$	$2688$	$0.015832$	$146377472/553311$	$0.82927$	$2.47590$	$[0, -1, 0, 28, -141]$	$y^2=x^3-x^2+28x-141$	1518.2.0.?	$[(19, 83)]$
12144.e1	12144e1	12144.e	12144e	$2$	$2$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3 \cdot 11^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3036$	$12$	$0$	$1.838246368$	$1$		$3$	$1152$	$-0.295320$	$49948672/8349$	$0.78399$	$2.17969$	$[0, -1, 0, -19, 34]$	$y^2=x^3-x^2-19x+34$	2.3.0.a.1, 44.6.0.c.1, 138.6.0.?, 3036.12.0.?	$[(6, 10)]$
12144.e2	12144e2	12144.e	12144e	$2$	$2$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{8} \cdot 3^{2} \cdot 11 \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3036$	$12$	$0$	$0.919123184$	$1$		$5$	$2304$	$0.051254$	$19600688/52371$	$0.79126$	$2.51174$	$[0, -1, 0, 36, 144]$	$y^2=x^3-x^2+36x+144$	2.3.0.a.1, 22.6.0.a.1, 276.6.0.?, 3036.12.0.?	$[(0, 12)]$
12144.f1	12144d1	12144.f	12144d	$1$	$1$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{11} \cdot 3^{5} \cdot 11^{5} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6072$	$2$	$0$	$0.234691628$	$1$		$8$	$43200$	$1.556381$	$-13274505046514/476160326631$	$0.99020$	$4.46424$	$[0, -1, 0, -6264, -1512432]$	$y^2=x^3-x^2-6264x-1512432$	6072.2.0.?	$[(152, 1012)]$
12144.g1	12144w5	12144.g	12144w	$6$	$8$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{12} \cdot 3 \cdot 11 \cdot 23^{2} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.45	2B	$12144$	$192$	$1$	$8.014194204$	$1$		$3$	$65536$	$1.808254$	$89254274298475942657/17457$	$1.00726$	$5.76907$	$[0, -1, 0, -1489664, 700307520]$	$y^2=x^3-x^2-1489664x+700307520$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 48.48.0-48.f.1.7, 66.6.0.a.1, $\ldots$	$[(16509/2, 2037087/2)]$
12144.g2	12144w4	12144.g	12144w	$6$	$8$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{12} \cdot 3^{2} \cdot 11^{2} \cdot 23^{4} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.24.0.5	2Cs	$6072$	$192$	$1$	$4.007097102$	$1$		$11$	$32768$	$1.461681$	$21790813729717297/304746849$	$0.97272$	$4.88464$	$[0, -1, 0, -93104, 10965504]$	$y^2=x^3-x^2-93104x+10965504$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.h.1.5, 88.48.0.?, 132.48.0.?, $\ldots$	$[(226, 1190)]$
12144.g3	12144w6	12144.g	12144w	$6$	$8$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{12} \cdot 3 \cdot 11 \cdot 23^{8} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.45	2B	$12144$	$192$	$1$	$8.014194204$	$1$		$3$	$65536$	$1.808254$	$-19989223566735457/2584262514273$	$0.97497$	$4.89690$	$[0, -1, 0, -90464, 11613888]$	$y^2=x^3-x^2-90464x+11613888$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 24.48.0-24.by.1.3, 88.48.0.?, $\ldots$	$[(5386/5, 180166/5)]$
12144.g4	12144w3	12144.g	12144w	$6$	$8$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{12} \cdot 3^{2} \cdot 11^{8} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.55	2B	$12144$	$192$	$1$	$4.007097102$	$1$		$3$	$32768$	$1.461681$	$309368403125137/44372288367$	$0.95365$	$4.43223$	$[0, -1, 0, -22544, -1122432]$	$y^2=x^3-x^2-22544x-1122432$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 24.48.0-24.by.2.11, 92.24.0.?, $\ldots$	$[(-62, 182)]$
12144.g5	12144w2	12144.g	12144w	$6$	$8$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{12} \cdot 3^{4} \cdot 11^{4} \cdot 23^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.24.0.6	2Cs	$6072$	$192$	$1$	$2.003548551$	$1$		$9$	$16384$	$1.115108$	$5786435182177/627352209$	$0.98731$	$4.00914$	$[0, -1, 0, -5984, 162624]$	$y^2=x^3-x^2-5984x+162624$	2.6.0.a.1, 4.24.0-4.b.1.1, 24.48.0-24.h.2.5, 88.48.0.?, 92.48.0.?, $\ldots$	$[(10, 322)]$
12144.g6	12144w1	12144.g	12144w	$6$	$8$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{12} \cdot 3^{8} \cdot 11^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.55	2B	$12144$	$192$	$1$	$1.001774275$	$1$		$7$	$8192$	$0.768534$	$3288008303/18259263$	$0.97810$	$3.44328$	$[0, -1, 0, 496, 12288]$	$y^2=x^3-x^2+496x+12288$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 46.6.0.a.1, 48.48.0-48.f.2.7, $\ldots$	$[(-8, 88)]$
12144.h1	12144a1	12144.h	12144a	$1$	$1$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{11} \cdot 3^{2} \cdot 11 \cdot 23 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2024$	$2$	$0$	$0.271510997$	$1$		$20$	$1792$	$-0.008767$	$9653618/2277$	$0.88839$	$2.52084$	$[0, -1, 0, -56, 144]$	$y^2=x^3-x^2-56x+144$	2024.2.0.?	$[(8, 12), (2, 6)]$
12144.i1	12144m1	12144.i	12144m	$1$	$1$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{11} \cdot 11 \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1518$	$2$	$0$	$1$	$1$		$0$	$12672$	$0.919744$	$-28649084226304/23708823039$	$0.93433$	$3.68401$	$[0, -1, 0, -1606, -38093]$	$y^2=x^3-x^2-1606x-38093$	1518.2.0.?	$[]$
12144.j1	12144s1	12144.j	12144s	$1$	$1$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{13} \cdot 3^{2} \cdot 11 \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2024$	$2$	$0$	$0.114983526$	$1$		$12$	$6912$	$0.662803$	$31824875809/2409066$	$0.88235$	$3.45590$	$[0, -1, 0, -1056, 12672]$	$y^2=x^3-x^2-1056x+12672$	2024.2.0.?	$[(72, 552)]$
12144.k1	12144o1	12144.k	12144o	$1$	$1$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3 \cdot 11^{7} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1518$	$2$	$0$	$1$	$1$		$0$	$8064$	$0.668839$	$-398556845824/1344614799$	$0.91946$	$3.33933$	$[0, -1, 0, -386, 7767]$	$y^2=x^3-x^2-386x+7767$	1518.2.0.?	$[]$
12144.l1	12144n1	12144.l	12144n	$1$	$1$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{37} \cdot 3^{4} \cdot 11 \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2024$	$2$	$0$	$1$	$1$		$0$	$115200$	$2.070480$	$26240674555395219529/687630974976$	$1.00285$	$5.63891$	$[0, -1, 0, -990536, 379770864]$	$y^2=x^3-x^2-990536x+379770864$	2024.2.0.?	$[]$
12144.m1	12144p1	12144.m	12144p	$1$	$1$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{23} \cdot 3^{4} \cdot 11^{5} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2024$	$2$	$0$	$1$	$1$		$0$	$253440$	$2.184265$	$1135700552684700289/325058782980096$	$0.99868$	$5.30502$	$[0, -1, 0, -347776, -56004608]$	$y^2=x^3-x^2-347776x-56004608$	2024.2.0.?	$[]$
12144.n1	12144y1	12144.n	12144y	$1$	$1$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{3} \cdot 11 \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1518$	$2$	$0$	$1$	$1$		$0$	$1152$	$-0.336202$	$-7626496/6831$	$0.73947$	$2.07930$	$[0, -1, 0, -10, -17]$	$y^2=x^3-x^2-10x-17$	1518.2.0.?	$[]$
12144.o1	12144c1	12144.o	12144c	$1$	$1$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3 \cdot 11 \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1518$	$2$	$0$	$0.688450319$	$1$		$2$	$3456$	$0.062881$	$-6981350656/401511$	$0.83294$	$2.71504$	$[0, -1, 0, -100, 439]$	$y^2=x^3-x^2-100x+439$	1518.2.0.?	$[(-9, 23)]$
12144.p1	12144v3	12144.p	12144v	$4$	$4$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{20} \cdot 3 \cdot 11^{8} \cdot 23^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$552$	$48$	$0$	$21.32940243$	$1$		$1$	$2211840$	$3.479980$	$13688695234222145601259673233/2003024259937536$	$1.10783$	$7.77324$	$[0, -1, 0, -797381392, -8666304395840]$	$y^2=x^3-x^2-797381392x-8666304395840$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$	$[(-3995458106646/15655, 79714020660842/15655)]$
12144.p2	12144v4	12144.p	12144v	$4$	$4$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{20} \cdot 3 \cdot 11^{2} \cdot 23^{12} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$552$	$48$	$0$	$21.32940243$	$1$		$3$	$2211840$	$3.479980$	$5072972674420068408718993/2036482219218784389888$	$1.05075$	$6.93318$	$[0, -1, 0, -57275152, -92319267392]$	$y^2=x^3-x^2-57275152x-92319267392$	2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 184.24.0.?, 552.48.0.?	$[(-81563744911/3568, 4892937780133623/3568)]$
12144.p3	12144v2	12144.p	12144v	$4$	$4$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{28} \cdot 3^{2} \cdot 11^{4} \cdot 23^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$276$	$48$	$0$	$10.66470121$	$1$		$3$	$1105920$	$3.133408$	$3342887139776073669969553/1278380674753560576$	$1.03837$	$6.88883$	$[0, -1, 0, -49840912, -135372438080]$	$y^2=x^3-x^2-49840912x-135372438080$	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 92.24.0.?, 276.48.0.?	$[(-3897078/31, 187628710/31)]$
12144.p4	12144v1	12144.p	12144v	$4$	$4$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{44} \cdot 3^{4} \cdot 11^{2} \cdot 23^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$552$	$48$	$0$	$5.332350608$	$1$		$3$	$552960$	$2.786835$	$-505304979693115442833/512169554353324032$	$1.02368$	$6.06104$	$[0, -1, 0, -2654992, -2761128512]$	$y^2=x^3-x^2-2654992x-2761128512$	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 46.6.0.a.1, 92.24.0.?, $\ldots$	$[(32266, 5788134)]$
12144.q1	12144q1	12144.q	12144q	$1$	$1$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{19} \cdot 3 \cdot 11 \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6072$	$2$	$0$	$1$	$1$		$0$	$4032$	$0.338258$	$127263527/97152$	$0.84906$	$2.86876$	$[0, -1, 0, 168, -528]$	$y^2=x^3-x^2+168x-528$	6072.2.0.?	$[]$
12144.r1	12144u2	12144.r	12144u	$2$	$2$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{3} \cdot 11^{2} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$132$	$12$	$0$	$15.33906384$	$1$		$1$	$29952$	$1.241123$	$190930594365830608/1728243$	$0.96973$	$4.82061$	$[0, -1, 0, -76172, -8066388]$	$y^2=x^3-x^2-76172x-8066388$	2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.?	$[(19318381/130, 82122433271/130)]$
12144.r2	12144u1	12144.r	12144u	$2$	$2$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{6} \cdot 11 \cdot 23^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$132$	$12$	$0$	$7.669531922$	$1$		$1$	$14976$	$0.894549$	$-744208243621888/2244044979$	$1.08325$	$3.93650$	$[0, -1, 0, -4757, -125040]$	$y^2=x^3-x^2-4757x-125040$	2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.?	$[(15820/13, 1078930/13)]$
12144.s1	12144b3	12144.s	12144b	$4$	$4$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{10} \cdot 3 \cdot 11^{4} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$6072$	$48$	$0$	$1$	$1$		$1$	$5120$	$0.603601$	$373565128612/1010229$	$0.89029$	$3.57037$	$[0, -1, 0, -1512, -22080]$	$y^2=x^3-x^2-1512x-22080$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 92.12.0.?, $\ldots$	$[]$
12144.s2	12144b2	12144.s	12144b	$4$	$4$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 23^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$3036$	$48$	$0$	$1$	$1$		$3$	$2560$	$0.257027$	$1001132368/576081$	$0.91137$	$2.79327$	$[0, -1, 0, -132, 0]$	$y^2=x^3-x^2-132x$	2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.1, 92.12.0.?, 132.24.0.?, $\ldots$	$[]$
12144.s3	12144b1	12144.s	12144b	$4$	$4$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3^{4} \cdot 11 \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$6072$	$48$	$0$	$1$	$1$		$1$	$1280$	$-0.089547$	$4604090368/20493$	$0.85167$	$2.66070$	$[0, -1, 0, -87, 342]$	$y^2=x^3-x^2-87x+342$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 44.12.0-4.c.1.1, 92.12.0.?, $\ldots$	$[]$
12144.s4	12144b4	12144.s	12144b	$4$	$4$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{10} \cdot 3 \cdot 11 \cdot 23^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$6072$	$48$	$0$	$1$	$1$		$1$	$5120$	$0.603601$	$15867289148/9234753$	$1.04215$	$3.23448$	$[0, -1, 0, 528, -528]$	$y^2=x^3-x^2+528x-528$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 44.12.0-4.c.1.2, 132.24.0.?, $\ldots$	$[]$
12144.t1	12144t1	12144.t	12144t	$1$	$1$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{13} \cdot 3^{3} \cdot 11 \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6072$	$2$	$0$	$0.612576531$	$1$		$4$	$2880$	$0.236780$	$-192100033/13662$	$0.82437$	$2.92487$	$[0, -1, 0, -192, 1152]$	$y^2=x^3-x^2-192x+1152$	6072.2.0.?	$[(8, 8)]$
12144.u1	12144ba2	12144.u	12144ba	$2$	$2$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{20} \cdot 3^{3} \cdot 11^{8} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$1$	$368640$	$2.259468$	$2940980566145956489/783792101714688$	$1.04114$	$5.40619$	$[0, -1, 0, -477576, 93462768]$	$y^2=x^3-x^2-477576x+93462768$	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[]$
12144.u2	12144ba1	12144.u	12144ba	$2$	$2$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{28} \cdot 3^{6} \cdot 11^{4} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.912895$	$11566328890520951/16088147361792$	$1.03150$	$4.85334$	$[0, -1, 0, 75384, 9412848]$	$y^2=x^3-x^2+75384x+9412848$	2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.?	$[]$
12144.v1	12144bj2	12144.v	12144bj	$2$	$2$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3 \cdot 11^{6} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3036$	$12$	$0$	$1$	$1$		$1$	$23040$	$1.113937$	$461188987116496/2811467307$	$0.98272$	$4.17987$	$[0, 1, 0, -10220, 392184]$	$y^2=x^3+x^2-10220x+392184$	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[]$
12144.v2	12144bj1	12144.v	12144bj	$2$	$2$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3^{2} \cdot 11^{3} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3036$	$12$	$0$	$1$	$1$		$1$	$11520$	$0.767364$	$7346581704933376/275517$	$1.07368$	$4.17941$	$[0, 1, 0, -10205, 393414]$	$y^2=x^3+x^2-10205x+393414$	2.3.0.a.1, 12.6.0.b.1, 506.6.0.?, 3036.12.0.?	$[]$
12144.w1	12144br1	12144.w	12144br	$1$	$1$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{13} \cdot 3^{10} \cdot 11 \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2024$	$2$	$0$	$0.094304843$	$1$		$12$	$19200$	$1.034601$	$22947463187713/29878794$	$0.93336$	$4.15563$	$[0, 1, 0, -9472, 351284]$	$y^2=x^3+x^2-9472x+351284$	2024.2.0.?	$[(50, 72)]$
12144.x1	12144bl1	12144.x	12144bl	$1$	$1$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{31} \cdot 3^{4} \cdot 11 \cdot 23^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2024$	$2$	$0$	$1$	$1$		$0$	$437760$	$2.513474$	$648817971720191270353/3006677182316544$	$1.01409$	$5.98000$	$[0, 1, 0, -2885712, -1880200044]$	$y^2=x^3+x^2-2885712x-1880200044$	2024.2.0.?	$[]$
12144.y1	12144h1	12144.y	12144h	$1$	$1$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{7} \cdot 11^{3} \cdot 23^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1518$	$2$	$0$	$1$	$1$		$0$	$53760$	$1.465628$	$22899855913233152/18735531529671$	$0.98572$	$4.30029$	$[0, 1, 0, 14908, 455619]$	$y^2=x^3+x^2+14908x+455619$	1518.2.0.?	$[]$
12144.z1	12144bh3	12144.z	12144bh	$4$	$4$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{16} \cdot 3 \cdot 11^{12} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$264$	$48$	$0$	$1$	$4$	$2$	$1$	$552960$	$2.662308$	$566001880654007645497/79690973341699632$	$1.01656$	$5.96548$	$[0, 1, 0, -2757304, -1533905068]$	$y^2=x^3+x^2-2757304x-1533905068$	2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 88.24.0.?, 264.48.0.?	$[]$
12144.z2	12144bh2	12144.z	12144bh	$4$	$4$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{20} \cdot 3^{2} \cdot 11^{6} \cdot 23^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$132$	$48$	$0$	$1$	$1$		$3$	$276480$	$2.315735$	$10329367348538068537/1142220445749504$	$1.04008$	$5.53977$	$[0, 1, 0, -725944, 213877076]$	$y^2=x^3+x^2-725944x+213877076$	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 44.24.0-44.b.1.1, 132.48.0.?	$[]$
12144.z3	12144bh1	12144.z	12144bh	$4$	$4$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{28} \cdot 3 \cdot 11^{3} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$264$	$48$	$0$	$1$	$1$		$1$	$138240$	$1.969162$	$9479576797126950457/138431496192$	$0.99903$	$5.53064$	$[0, 1, 0, -705464, 227828052]$	$y^2=x^3+x^2-705464x+227828052$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.12, $\ldots$	$[]$
12144.z4	12144bh4	12144.z	12144bh	$4$	$4$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{16} \cdot 3^{4} \cdot 11^{3} \cdot 23^{8} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$264$	$48$	$0$	$1$	$1$		$3$	$552960$	$2.662308$	$25236442759706220743/135084570146078256$	$1.06590$	$5.85913$	$[0, 1, 0, 977736, 1069124436]$	$y^2=x^3+x^2+977736x+1069124436$	2.3.0.a.1, 4.12.0-4.c.1.1, 22.6.0.a.1, 24.24.0-24.ba.1.8, 44.24.0-44.g.1.2, $\ldots$	$[]$
12144.ba1	12144g2	12144.ba	12144g	$2$	$2$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{5} \cdot 11^{6} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3036$	$12$	$0$	$1$	$1$		$1$	$26880$	$1.304228$	$10938157762245712/9901254429$	$0.95442$	$4.51654$	$[0, 1, 0, -29364, -1945044]$	$y^2=x^3+x^2-29364x-1945044$	2.3.0.a.1, 44.6.0.c.1, 138.6.0.?, 3036.12.0.?	$[]$
12144.ba2	12144g1	12144.ba	12144g	$2$	$2$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{10} \cdot 11^{3} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3036$	$12$	$0$	$1$	$1$		$1$	$13440$	$0.957655$	$-19763185027072/41576341851$	$0.96571$	$3.71320$	$[0, 1, 0, -1419, -44784]$	$y^2=x^3+x^2-1419x-44784$	2.3.0.a.1, 22.6.0.a.1, 276.6.0.?, 3036.12.0.?	$[]$
12144.bb1	12144bg1	12144.bb	12144bg	$1$	$1$	$ 2^{4} \cdot 3 \cdot 11 \cdot 23 $	$ - 2^{35} \cdot 3^{11} \cdot 11^{3} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6072$	$2$	$0$	$1$	$1$		$0$	$437184$	$2.568676$	$167691610314591623/45491430503743488$	$1.19549$	$5.75534$	$[0, 1, 0, 183816, -655992108]$	$y^2=x^3+x^2+183816x-655992108$	6072.2.0.?	$[]$

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 76 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 76 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