LMFDB - Elliptic curves over $\Q$ of conductor 46800

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	Manin constant

		Sort order	Select

Results (1-50 of 291 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
46800.a1	46800fr2	46800.a	46800fr	$2$	$3$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{18} \cdot 3^{6} \cdot 5^{8} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$156$	$16$	$0$	$3.663660726$	$1$		$4$	$3110400$	$2.829559$	$-6434774386429585/140608$	$1.01781$	$5.96872$	$[0, 0, 0, -40789875, -100271308750]$	$y^2=x^3-40789875x-100271308750$	3.4.0.a.1, 12.8.0-3.a.1.1, 52.2.0.a.1, 78.8.0.?, 156.16.0.?	$[(7375, 5850)]$
46800.a2	46800fr1	46800.a	46800fr	$2$	$3$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{30} \cdot 3^{6} \cdot 5^{8} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$156$	$16$	$0$	$10.99098217$	$1$		$0$	$1036800$	$2.280251$	$-9836106385/3407872$	$0.94524$	$4.76708$	$[0, 0, 0, -469875, -156748750]$	$y^2=x^3-469875x-156748750$	3.4.0.a.1, 12.8.0-3.a.1.2, 52.2.0.a.1, 78.8.0.?, 156.16.0.?	$[(235231/17, 1069254/17)]$
46800.b1	46800z1	46800.b	46800z	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{7} \cdot 5^{7} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$390$	$2$	$0$	$1$	$1$		$0$	$184320$	$1.409773$	$-17790954496/195$	$0.91521$	$4.22140$	$[0, 0, 0, -77700, -8336500]$	$y^2=x^3-77700x-8336500$	390.2.0.?	$[ ]$
46800.c1	46800bn1	46800.c	46800bn	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{9} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$390$	$2$	$0$	$3.337124525$	$1$		$0$	$460800$	$1.813646$	$351232/59319$	$1.13031$	$4.19056$	$[0, 0, 0, 10500, -7062500]$	$y^2=x^3+10500x-7062500$	390.2.0.?	$[(1625/2, 64125/2)]$
46800.d1	46800do3	46800.d	46800do	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{24} \cdot 3^{6} \cdot 5^{7} \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.3, 3.4.0.1	2B, 3B	$1560$	$384$	$9$	$2.401011897$	$1$		$5$	$995328$	$2.277622$	$988345570681/44994560$	$0.95432$	$4.85281$	$[0, 0, 0, -747075, -238562750]$	$y^2=x^3-747075x-238562750$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$	$[(-505, 3150)]$
46800.d2	46800do1	46800.d	46800do	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{16} \cdot 3^{6} \cdot 5^{9} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.3, 3.4.0.1	2B, 3B	$1560$	$384$	$9$	$0.800337299$	$1$		$9$	$331776$	$1.728315$	$3803721481/26000$	$0.90619$	$4.33577$	$[0, 0, 0, -117075, 15327250]$	$y^2=x^3-117075x+15327250$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$	$[(95, 2250)]$
46800.d3	46800do2	46800.d	46800do	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{6} \cdot 5^{12} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.5, 3.4.0.1	2B, 3B	$1560$	$384$	$9$	$1.600674598$	$1$		$7$	$663552$	$2.074890$	$-217081801/10562500$	$0.97746$	$4.48271$	$[0, 0, 0, -45075, 33975250]$	$y^2=x^3-45075x+33975250$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0.b.1, $\ldots$	$[(255, 6250)]$
46800.d4	46800do4	46800.d	46800do	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{18} \cdot 3^{6} \cdot 5^{8} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.5, 3.4.0.1	2B, 3B	$1560$	$384$	$9$	$4.802023795$	$1$		$3$	$1990656$	$2.624195$	$157376536199/7722894400$	$1.01877$	$5.09375$	$[0, 0, 0, 404925, -907874750]$	$y^2=x^3+404925x-907874750$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0.b.2, $\ldots$	$[(2055, 92750)]$
46800.e1	46800fb2	46800.e	46800fb	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{19} \cdot 3^{14} \cdot 5^{9} \cdot 13^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$520$	$12$	$0$	$3.200083857$	$1$		$21$	$3440640$	$2.874199$	$38686490446661/141927552$	$1.00180$	$5.64282$	$[0, 0, 0, -12682875, 17329806250]$	$y^2=x^3-12682875x+17329806250$	2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[(525, 104000), (2189, 7488)]$
46800.e2	46800fb1	46800.e	46800fb	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{26} \cdot 3^{10} \cdot 5^{9} \cdot 13 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$520$	$12$	$0$	$12.80033543$	$1$		$11$	$1720320$	$2.527626$	$29819839301/17252352$	$1.14121$	$4.97625$	$[0, 0, 0, -1162875, -7793750]$	$y^2=x^3-1162875x-7793750$	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(-51, 7168), (-825, 19750)]$
46800.f1	46800dn2	46800.f	46800dn	$2$	$3$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$780$	$16$	$0$	$8.047185148$	$1$		$0$	$77760$	$1.017336$	$671088640/2197$	$1.15089$	$3.57579$	$[0, 0, 0, -7680, -258320]$	$y^2=x^3-7680x-258320$	3.4.0.a.1, 26.2.0.a.1, 60.8.0-3.a.1.2, 78.8.0.?, 780.16.0.?	$[(-6111/11, 36023/11)]$
46800.f2	46800dn1	46800.f	46800dn	$2$	$3$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$780$	$16$	$0$	$2.682395049$	$1$		$2$	$25920$	$0.468029$	$163840/13$	$0.79946$	$2.80230$	$[0, 0, 0, -480, 3760]$	$y^2=x^3-480x+3760$	3.4.0.a.1, 26.2.0.a.1, 60.8.0-3.a.1.1, 78.8.0.?, 780.16.0.?	$[(9, 13)]$
46800.g1	46800bi2	46800.g	46800bi	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{8} \cdot 3^{12} \cdot 5^{6} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.486719259$	$1$		$5$	$122880$	$1.315557$	$94875856/9477$	$0.90366$	$3.73469$	$[0, 0, 0, -13575, 553750]$	$y^2=x^3-13575x+553750$	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(-31, 972)]$
46800.g2	46800bi1	46800.g	46800bi	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$156$	$12$	$0$	$2.973438519$	$1$		$3$	$61440$	$0.968985$	$702464/4563$	$0.96739$	$3.23686$	$[0, 0, 0, 1050, 41875]$	$y^2=x^3+1050x+41875$	2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.?	$[(11, 234)]$
46800.h1	46800bh1	46800.h	46800bh	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$156$	$12$	$0$	$2.152008891$	$1$		$3$	$36864$	$0.676851$	$256000/117$	$0.88864$	$2.92681$	$[0, 0, 0, -750, -3625]$	$y^2=x^3-750x-3625$	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(31, 54)]$
46800.h2	46800bh2	46800.h	46800bh	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.076004445$	$1$		$7$	$73728$	$1.023424$	$686000/507$	$0.86569$	$3.27630$	$[0, 0, 0, 2625, -27250]$	$y^2=x^3+2625x-27250$	2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.?	$[(49, 468)]$
46800.i1	46800bt2	46800.i	46800bt	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{11} \cdot 3^{6} \cdot 5^{3} \cdot 13^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$520$	$12$	$0$	$0.459866323$	$1$		$29$	$40960$	$0.790959$	$5606442/169$	$1.17666$	$3.21603$	$[0, 0, 0, -2115, 36450]$	$y^2=x^3-2115x+36450$	2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[(69, 468), (15, 90)]$
46800.i2	46800bt1	46800.i	46800bt	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{10} \cdot 3^{6} \cdot 5^{3} \cdot 13 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$520$	$12$	$0$	$1.839465294$	$1$		$17$	$20480$	$0.444386$	$37044/13$	$0.73783$	$2.68480$	$[0, 0, 0, -315, -1350]$	$y^2=x^3-315x-1350$	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(21, 36), (25, 80)]$
46800.j1	46800el1	46800.j	46800el	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{20} \cdot 3^{6} \cdot 5^{11} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.3	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$1105920$	$2.404121$	$65787589563409/10400000$	$0.97958$	$5.24320$	$[0, 0, 0, -3027675, -2027461750]$	$y^2=x^3-3027675x-2027461750$	2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 130.6.0.?, 260.24.0.?, $\ldots$	$[ ]$
46800.j2	46800el2	46800.j	46800el	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{16} \cdot 3^{6} \cdot 5^{16} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.5	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$2211840$	$2.750698$	$-48743122863889/26406250000$	$0.98824$	$5.27676$	$[0, 0, 0, -2739675, -2428645750]$	$y^2=x^3-2739675x-2428645750$	2.3.0.a.1, 4.6.0.a.1, 120.12.0.?, 260.12.0.?, 312.12.0.?, $\ldots$	$[ ]$
46800.k1	46800cc4	46800.k	46800cc	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{15} \cdot 3^{9} \cdot 5^{7} \cdot 13^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$1$	$1$		$1$	$1990656$	$2.611675$	$520300455507/193072360$	$0.98306$	$5.09963$	$[0, 0, 0, -1809675, -561255750]$	$y^2=x^3-1809675x-561255750$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.5, 60.24.0-6.a.1.2, $\ldots$	$[ ]$
46800.k2	46800cc2	46800.k	46800cc	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{13} \cdot 3^{3} \cdot 5^{9} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$1$	$1$		$1$	$663552$	$2.062366$	$261984288445803/42250$	$1.00391$	$5.06522$	$[0, 0, 0, -1599675, -778745750]$	$y^2=x^3-1599675x-778745750$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.13, 60.24.0-6.a.1.4, $\ldots$	$[ ]$
46800.k3	46800cc1	46800.k	46800cc	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{12} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$1$	$1$		$1$	$331776$	$1.715794$	$-63378025803/812500$	$0.94486$	$4.29292$	$[0, 0, 0, -99675, -12245750]$	$y^2=x^3-99675x-12245750$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 60.24.0-6.a.1.4, $\ldots$	$[ ]$
46800.k4	46800cc3	46800.k	46800cc	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{18} \cdot 3^{9} \cdot 5^{8} \cdot 13^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$1$	$1$		$1$	$995328$	$2.265099$	$3774555693/3515200$	$0.94972$	$4.64154$	$[0, 0, 0, 350325, -62295750]$	$y^2=x^3+350325x-62295750$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.10, 60.24.0-6.a.1.2, $\ldots$	$[ ]$
46800.l1	46800dl2	46800.l	46800dl	$2$	$3$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{21} \cdot 3^{9} \cdot 5^{2} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1560$	$16$	$0$	$6.003232674$	$1$		$2$	$373248$	$1.950165$	$-168256703745625/30371328$	$1.05268$	$4.73190$	$[0, 0, 0, -484275, -129734030]$	$y^2=x^3-484275x-129734030$	3.4.0.a.1, 60.8.0-3.a.1.2, 312.8.0.?, 1560.16.0.?	$[(2366, 109404)]$
46800.l2	46800dl1	46800.l	46800dl	$2$	$3$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{15} \cdot 3^{15} \cdot 5^{2} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1560$	$16$	$0$	$2.001077558$	$1$		$2$	$124416$	$1.400858$	$7604375/2047032$	$1.24246$	$3.73016$	$[0, 0, 0, 1725, -594110]$	$y^2=x^3+1725x-594110$	3.4.0.a.1, 60.8.0-3.a.1.1, 312.8.0.?, 1560.16.0.?	$[(206, 2916)]$
46800.m1	46800cb4	46800.m	46800cb	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{13} \cdot 3^{9} \cdot 5^{9} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$1$	$1$		$1$	$1990656$	$2.611675$	$261984288445803/42250$	$1.00391$	$5.67819$	$[0, 0, 0, -14397075, 21026135250]$	$y^2=x^3-14397075x+21026135250$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.5, 60.24.0-6.a.1.2, $\ldots$	$[ ]$
46800.m2	46800cb3	46800.m	46800cb	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{12} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$1$	$1$		$1$	$995328$	$2.265099$	$-63378025803/812500$	$0.94486$	$4.90589$	$[0, 0, 0, -897075, 330635250]$	$y^2=x^3-897075x+330635250$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.10, 60.24.0-6.a.1.2, $\ldots$	$[ ]$
46800.m3	46800cb2	46800.m	46800cb	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{15} \cdot 3^{3} \cdot 5^{7} \cdot 13^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$1$	$1$		$1$	$663552$	$2.062366$	$520300455507/193072360$	$0.98306$	$4.48666$	$[0, 0, 0, -201075, 20787250]$	$y^2=x^3-201075x+20787250$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.13, 60.24.0-6.a.1.4, $\ldots$	$[ ]$
46800.m4	46800cb1	46800.m	46800cb	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{18} \cdot 3^{3} \cdot 5^{8} \cdot 13^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$1$	$1$		$1$	$331776$	$1.715794$	$3774555693/3515200$	$0.94972$	$4.02857$	$[0, 0, 0, 38925, 2307250]$	$y^2=x^3+38925x+2307250$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 60.24.0-6.a.1.4, $\ldots$	$[ ]$
46800.n1	46800ej1	46800.n	46800ej	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{19} \cdot 3^{6} \cdot 5^{10} \cdot 13^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$604800$	$2.095039$	$304175/21632$	$0.97871$	$4.50381$	$[0, 0, 0, 43125, 38056250]$	$y^2=x^3+43125x+38056250$	8.2.0.a.1	$[ ]$
46800.o1	46800fq2	46800.o	46800fq	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{15} \cdot 3^{22} \cdot 5^{3} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$520$	$12$	$0$	$4.013252837$	$1$		$3$	$1179648$	$2.450962$	$666276475992821/58199166792$	$1.01817$	$5.00951$	$[0, 0, 0, -1310115, -531840350]$	$y^2=x^3-1310115x-531840350$	2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[(-505, 990)]$
46800.o2	46800fq1	46800.o	46800fq	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{18} \cdot 3^{14} \cdot 5^{3} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$520$	$12$	$0$	$8.026505675$	$1$		$3$	$589824$	$2.104385$	$623295446073461/5458752$	$1.01539$	$5.00331$	$[0, 0, 0, -1281315, -558249950]$	$y^2=x^3-1281315x-558249950$	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(76785, 21274880)]$
46800.p1	46800ek1	46800.p	46800ek	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{12} \cdot 3^{6} \cdot 5^{7} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.3	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$73728$	$1.085558$	$117649/65$	$0.95681$	$3.37016$	$[0, 0, 0, -3675, 18250]$	$y^2=x^3-3675x+18250$	2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 130.6.0.?, 260.24.0.?, $\ldots$	$[ ]$
46800.p2	46800ek2	46800.p	46800ek	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{8} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.5	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.432131$	$6967871/4225$	$0.89914$	$3.74970$	$[0, 0, 0, 14325, 144250]$	$y^2=x^3+14325x+144250$	2.3.0.a.1, 4.6.0.a.1, 120.12.0.?, 260.12.0.?, 312.12.0.?, $\ldots$	$[ ]$
46800.q1	46800y4	46800.q	46800y	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$589824$	$1.999346$	$490757540836/2142075$	$0.93734$	$4.65879$	$[0, 0, 0, -372675, -87236750]$	$y^2=x^3-372675x-87236750$	2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$	$[ ]$
46800.q2	46800y2	46800.q	46800y	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{8} \cdot 3^{8} \cdot 5^{10} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$780$	$48$	$0$	$1$	$1$		$3$	$294912$	$1.652771$	$1650587344/950625$	$0.98820$	$4.00031$	$[0, 0, 0, -35175, 175750]$	$y^2=x^3-35175x+175750$	2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 60.24.0-12.a.1.2, $\ldots$	$[ ]$
46800.q3	46800y1	46800.q	46800y	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.306198$	$9538484224/26325$	$0.91841$	$3.90561$	$[0, 0, 0, -25050, 1522375]$	$y^2=x^3-25050x+1522375$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 40.12.0-4.c.1.5, $\ldots$	$[ ]$
46800.q4	46800y3	46800.q	46800y	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{10} \cdot 3^{7} \cdot 5^{14} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$589824$	$1.999346$	$26198797244/15234375$	$1.02140$	$4.38631$	$[0, 0, 0, 140325, 1404250]$	$y^2=x^3+140325x+1404250$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.ba.1, 78.6.0.?, $\ldots$	$[ ]$
46800.r1	46800fa1	46800.r	46800fa	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{13} \cdot 3^{7} \cdot 5^{8} \cdot 13 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$312$	$2$	$0$	$0.439999051$	$1$		$22$	$161280$	$1.362558$	$34295/78$	$0.80517$	$3.65483$	$[0, 0, 0, 7125, 396250]$	$y^2=x^3+7125x+396250$	312.2.0.?	$[(125, 1800), (29, 792)]$
46800.s1	46800dm4	46800.s	46800dm	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{12} \cdot 3^{10} \cdot 5^{6} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$1560$	$48$	$0$	$3.112938607$	$1$		$5$	$262144$	$1.728806$	$37159393753/1053$	$1.11616$	$4.54772$	$[0, 0, 0, -250275, -48190750]$	$y^2=x^3-250275x-48190750$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 40.12.0-4.c.1.5, $\ldots$	$[(-289, 34)]$
46800.s2	46800dm3	46800.s	46800dm	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{12} \cdot 3^{7} \cdot 5^{6} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$1560$	$48$	$0$	$3.112938607$	$1$		$5$	$262144$	$1.728806$	$822656953/85683$	$0.96086$	$4.19338$	$[0, 0, 0, -70275, 6493250]$	$y^2=x^3-70275x+6493250$	2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.2, 60.24.0-12.h.1.2, $\ldots$	$[(215, 1150)]$
46800.s3	46800dm2	46800.s	46800dm	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{12} \cdot 3^{8} \cdot 5^{6} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$780$	$48$	$0$	$1.556469303$	$1$		$13$	$131072$	$1.382233$	$10218313/1521$	$0.91403$	$3.78530$	$[0, 0, 0, -16275, -688750]$	$y^2=x^3-16275x-688750$	2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 60.24.0-12.a.1.1, $\ldots$	$[(-89, 234)]$
46800.s4	46800dm1	46800.s	46800dm	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{12} \cdot 3^{7} \cdot 5^{6} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$1560$	$48$	$0$	$0.778234651$	$1$		$9$	$65536$	$1.035658$	$12167/39$	$0.85844$	$3.29984$	$[0, 0, 0, 1725, -58750]$	$y^2=x^3+1725x-58750$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.ba.1, 78.6.0.?, $\ldots$	$[(55, 450)]$
46800.t1	46800dj1	46800.t	46800dj	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{12} \cdot 3^{7} \cdot 5^{7} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$390$	$2$	$0$	$1.651685109$	$1$		$2$	$92160$	$1.166588$	$-4096/195$	$0.83662$	$3.46914$	$[0, 0, 0, -1200, -146000]$	$y^2=x^3-1200x-146000$	390.2.0.?	$[(65, 225)]$
46800.u1	46800d1	46800.u	46800d	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{13} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$390$	$2$	$0$	$4.553872123$	$1$		$0$	$645120$	$2.228149$	$74251994112/29007265625$	$1.10272$	$4.65347$	$[0, 0, 0, 41700, -85094500]$	$y^2=x^3+41700x-85094500$	390.2.0.?	$[(8665/4, 628125/4)]$
46800.v1	46800eg2	46800.v	46800eg	$2$	$5$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{16} \cdot 3^{8} \cdot 5^{10} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.12.0.2	5B.4.2	$780$	$48$	$1$	$1$	$25$	$5$	$0$	$32256000$	$4.191185$	$-134057911417971280740025/1872$	$1.08082$	$7.83515$	$[0, 0, 0, -32818501875, -2288369979868750]$	$y^2=x^3-32818501875x-2288369979868750$	5.12.0.a.2, 52.2.0.a.1, 60.24.0-5.a.2.2, 260.24.1.?, 390.24.0.?, $\ldots$	$[ ]$
46800.v2	46800eg1	46800.v	46800eg	$2$	$5$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{32} \cdot 3^{16} \cdot 5^{2} \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.12.0.1	5B.4.1	$780$	$48$	$1$	$1$	$1$		$0$	$6451200$	$3.386463$	$-198417696411528597145/22989483914821632$	$1.05512$	$6.04890$	$[0, 0, 0, -51163635, -154318995790]$	$y^2=x^3-51163635x-154318995790$	5.12.0.a.1, 52.2.0.a.1, 60.24.0-5.a.1.2, 260.24.1.?, 390.24.0.?, $\ldots$	$[ ]$
46800.w1	46800bg1	46800.w	46800bg	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{11} \cdot 5^{9} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$390$	$2$	$0$	$1.385279043$	$1$		$2$	$184320$	$1.588627$	$-504871936/394875$	$0.89480$	$3.96967$	$[0, 0, 0, -23700, 2153500]$	$y^2=x^3-23700x+2153500$	390.2.0.?	$[(185, 2025)]$
46800.x1	46800ex1	46800.x	46800ex	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{12} \cdot 3^{8} \cdot 5^{8} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$52$	$2$	$0$	$1$	$1$		$0$	$368640$	$1.902475$	$-417267265/19773$	$0.90540$	$4.43691$	$[0, 0, 0, -163875, -26558750]$	$y^2=x^3-163875x-26558750$	52.2.0.a.1	$[ ]$

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 $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 291 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 291 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