LMFDB - Elliptic curves over $\Q$ of conductor 286650

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 798 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
286650.a1	286650a1	286650.a	286650a	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2 \cdot 3^{3} \cdot 5^{4} \cdot 7^{6} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$2184$	$16$	$0$	$5.396979092$	$1$		$2$	$933120$	$1.282789$	$-8538302475/26$	$0.97351$	$3.52354$	$[1, -1, 0, -53517, -4751909]$	$y^2+xy=x^3-x^2-53517x-4751909$	3.4.0.a.1, 21.8.0-3.a.1.1, 312.8.0.?, 2184.16.0.?	$[(2543, 126398)]$
286650.a2	286650a2	286650.a	286650a	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{3} \cdot 3^{9} \cdot 5^{4} \cdot 7^{6} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$2184$	$16$	$0$	$1.798993030$	$1$		$2$	$2799360$	$1.832094$	$-3316275/17576$	$0.95364$	$3.60762$	$[1, -1, 0, -35142, -8072884]$	$y^2+xy=x^3-x^2-35142x-8072884$	3.4.0.a.1, 21.8.0-3.a.1.2, 312.8.0.?, 2184.16.0.?	$[(499, 9673)]$
286650.b1	286650b1	286650.b	286650b	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2 \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	8.2.0.2		$8$	$2$	$0$	$0.741084683$	$1$		$10$	$193536$	$0.585077$	$590625/338$	$1.26302$	$2.40412$	$[1, -1, 0, -492, 566]$	$y^2+xy=x^3-x^2-492x+566$	8.2.0.b.1	$[(-1, 33), (25, 46)]$
286650.c1	286650c1	286650.c	286650c	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{2} \cdot 3^{7} \cdot 5^{7} \cdot 7^{9} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1.467814012$	$1$		$7$	$8847360$	$2.355446$	$105756712489/3478020$	$0.87422$	$4.24225$	$[1, -1, 0, -1086192, -422887284]$	$y^2+xy=x^3-x^2-1086192x-422887284$	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[(-642, 3408)]$
286650.c2	286650c2	286650.c	286650c	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2 \cdot 3^{8} \cdot 5^{8} \cdot 7^{12} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$2.935628025$	$1$		$4$	$17694720$	$2.702019$	$3449795831/688246650$	$0.95438$	$4.43460$	$[1, -1, 0, 347058, -1459127034]$	$y^2+xy=x^3-x^2+347058x-1459127034$	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[(1633, 58008)]$
286650.d1	286650d2	286650.d	286650d	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2 \cdot 3^{11} \cdot 5^{9} \cdot 7^{12} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$0$	$81100800$	$3.487640$	$1726143065560493/9662982966$	$0.96546$	$5.39843$	$[1, -1, 0, -137763117, -619316472209]$	$y^2+xy=x^3-x^2-137763117x-619316472209$	2.3.0.a.1, 120.6.0.?, 1820.6.0.?, 2184.6.0.?, 10920.12.0.?	$[ ]$
286650.d2	286650d1	286650.d	286650d	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{2} \cdot 3^{16} \cdot 5^{9} \cdot 7^{9} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$40550400$	$3.141068$	$-36495256013/1053197964$	$0.96287$	$4.85450$	$[1, -1, 0, -3809367, -20409255959]$	$y^2+xy=x^3-x^2-3809367x-20409255959$	2.3.0.a.1, 120.6.0.?, 910.6.0.?, 2184.6.0.?, 10920.12.0.?	$[ ]$
286650.e1	286650e1	286650.e	286650e	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{10} \cdot 7^{9} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1092$	$2$	$0$	$1$	$1$		$0$	$18816000$	$2.785530$	$262586475/212992$	$0.98836$	$4.47950$	$[1, -1, 0, 2934258, -1226791084]$	$y^2+xy=x^3-x^2+2934258x-1226791084$	1092.2.0.?	$[ ]$
286650.f1	286650f1	286650.f	286650f	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{5} \cdot 3^{9} \cdot 5^{3} \cdot 7^{10} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1560$	$2$	$0$	$34.17426140$	$1$		$0$	$35804160$	$2.948212$	$-8527053024063/70304$	$1.17895$	$5.08906$	$[1, -1, 0, -37700952, -89090981344]$	$y^2+xy=x^3-x^2-37700952x-89090981344$	1560.2.0.?	$[(7500792854596501/400633, 642196433014485763099276/400633)]$
286650.g1	286650g1	286650.g	286650g	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{5} \cdot 3^{9} \cdot 5^{3} \cdot 7^{4} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1560$	$2$	$0$	$0.636434952$	$1$		$4$	$5114880$	$1.975258$	$-8527053024063/70304$	$1.17895$	$4.15993$	$[1, -1, 0, -769407, 259960301]$	$y^2+xy=x^3-x^2-769407x+259960301$	1560.2.0.?	$[(529, 613)]$
286650.h1	286650h1	286650.h	286650h	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{10} \cdot 7^{3} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1092$	$2$	$0$	$1.775895424$	$1$		$2$	$2688000$	$1.812576$	$262586475/212992$	$0.98836$	$3.55037$	$[1, -1, 0, 59883, 3559541]$	$y^2+xy=x^3-x^2+59883x+3559541$	1092.2.0.?	$[(58, 2659)]$
286650.i1	286650i1	286650.i	286650i	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2 \cdot 3^{6} \cdot 5^{4} \cdot 7^{8} \cdot 13^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	8.2.0.2		$8$	$2$	$0$	$1$	$1$		$0$	$1354752$	$1.558033$	$590625/338$	$1.26302$	$3.33325$	$[1, -1, 0, -24117, -145909]$	$y^2+xy=x^3-x^2-24117x-145909$	8.2.0.b.1	$[ ]$
286650.j1	286650j3	286650.j	286650j	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{6} \cdot 3^{8} \cdot 5^{9} \cdot 7^{8} \cdot 13^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$10920$	$96$	$1$	$1$	$1$		$1$	$95551488$	$3.556610$	$15082569606665230489/7751016000$	$0.98765$	$5.73641$	$[1, -1, 0, -567495567, -5203311064659]$	$y^2+xy=x^3-x^2-567495567x-5203311064659$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 56.6.0.c.1, 105.8.0.?, $\ldots$	$[ ]$
286650.j2	286650j4	286650.j	286650j	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{3} \cdot 3^{10} \cdot 5^{12} \cdot 7^{7} \cdot 13^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$10920$	$96$	$1$	$1$	$1$		$0$	$191102976$	$3.903183$	$-14837772556740428569/342100087875000$	$0.98803$	$5.73822$	$[1, -1, 0, -564408567, -5262720379659]$	$y^2+xy=x^3-x^2-564408567x-5262720379659$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 56.6.0.b.1, 105.8.0.?, $\ldots$	$[ ]$
286650.j3	286650j1	286650.j	286650j	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{2} \cdot 3^{12} \cdot 5^{7} \cdot 7^{12} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$10920$	$96$	$1$	$1$	$1$		$1$	$31850496$	$3.007305$	$48264326765929/22299191460$	$0.94425$	$4.72954$	$[1, -1, 0, -8362692, -4177561284]$	$y^2+xy=x^3-x^2-8362692x-4177561284$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 56.6.0.c.1, 105.8.0.?, $\ldots$	$[ ]$
286650.j4	286650j2	286650.j	286650j	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2 \cdot 3^{18} \cdot 5^{8} \cdot 7^{9} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$10920$	$96$	$1$	$1$	$1$		$0$	$63700992$	$3.353878$	$2108526614950391/1540302022350$	$0.96919$	$5.03012$	$[1, -1, 0, 29453058, -31518348534]$	$y^2+xy=x^3-x^2+29453058x-31518348534$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 56.6.0.b.1, 105.8.0.?, $\ldots$	$[ ]$
286650.k1	286650k4	286650.k	286650k	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{2} \cdot 3^{9} \cdot 5^{8} \cdot 7^{8} \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5460$	$96$	$1$	$0.979085854$	$1$		$8$	$95551488$	$3.678795$	$11387025941627437947/10765300$	$0.99878$	$5.97633$	$[1, -1, 0, -1550227317, 23493534304841]$	$y^2+xy=x^3-x^2-1550227317x+23493534304841$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 105.8.0.?, $\ldots$	$[(22564, 32593)]$
286650.k2	286650k3	286650.k	286650k	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{4} \cdot 3^{9} \cdot 5^{7} \cdot 7^{7} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5460$	$96$	$1$	$1.958171709$	$1$		$7$	$47775744$	$3.332222$	$2781982314427707/2703013040$	$0.98968$	$5.31446$	$[1, -1, 0, -96911817, 366924753341]$	$y^2+xy=x^3-x^2-96911817x+366924753341$	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 105.8.0.?, 156.48.0.?, $\ldots$	$[(5833, 5683)]$
286650.k3	286650k2	286650.k	286650k	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{6} \cdot 3^{3} \cdot 5^{12} \cdot 7^{12} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5460$	$96$	$1$	$2.937257563$	$1$		$2$	$31850496$	$3.129486$	$16751080718799363/1529437000000$	$0.97008$	$4.93276$	$[1, -1, 0, -19589817, 30632167341]$	$y^2+xy=x^3-x^2-19589817x+30632167341$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 105.8.0.?, $\ldots$	$[(-1086, 225543)]$
286650.k4	286650k1	286650.k	286650k	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{12} \cdot 3^{3} \cdot 5^{9} \cdot 7^{9} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5460$	$96$	$1$	$5.874515127$	$1$		$1$	$15925248$	$2.782913$	$177381177331203/29679104000$	$0.97925$	$4.57084$	$[1, -1, 0, -4301817, -2894416659]$	$y^2+xy=x^3-x^2-4301817x-2894416659$	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 105.8.0.?, 156.48.0.?, $\ldots$	$[(10935/2, 596763/2)]$
286650.l1	286650l3	286650.l	286650l	$3$	$9$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{9} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	9.12.0.1	3B	$32760$	$144$	$3$	$1$	$9$	$3$	$0$	$7348320$	$2.381367$	$-10730978619193/6656$	$1.02193$	$4.60989$	$[1, -1, 0, -5066217, -4387819059]$	$y^2+xy=x^3-x^2-5066217x-4387819059$	3.4.0.a.1, 9.12.0.a.1, 104.2.0.?, 105.8.0.?, 117.36.0.?, $\ldots$	$[ ]$
286650.l2	286650l2	286650.l	286650l	$3$	$9$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{3} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.12.0.1	3Cs	$32760$	$144$	$3$	$1$	$1$		$0$	$2449440$	$1.832060$	$-10218313/17576$	$0.94717$	$3.61632$	$[1, -1, 0, -49842, -8523684]$	$y^2+xy=x^3-x^2-49842x-8523684$	3.12.0.a.1, 104.2.0.?, 105.24.0.?, 117.36.0.?, 312.24.1.?, $\ldots$	$[ ]$
286650.l3	286650l1	286650.l	286650l	$3$	$9$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2 \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	9.12.0.1	3B	$32760$	$144$	$3$	$1$	$1$		$0$	$816480$	$1.282755$	$12167/26$	$0.84415$	$3.04955$	$[1, -1, 0, 5283, 241191]$	$y^2+xy=x^3-x^2+5283x+241191$	3.4.0.a.1, 9.12.0.a.1, 104.2.0.?, 105.8.0.?, 117.36.0.?, $\ldots$	$[ ]$
286650.m1	286650m1	286650.m	286650m	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$52$	$2$	$0$	$1$	$1$		$0$	$1612800$	$1.612627$	$-78683185/119808$	$0.86449$	$3.40836$	$[1, -1, 0, -21492, -2305584]$	$y^2+xy=x^3-x^2-21492x-2305584$	52.2.0.a.1	$[ ]$
286650.n1	286650n1	286650.n	286650n	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{9} \cdot 3^{13} \cdot 5^{8} \cdot 7^{2} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$312$	$2$	$0$	$1$	$1$		$0$	$5080320$	$2.142067$	$1551349793665/14556672$	$0.93224$	$4.09272$	$[1, -1, 0, -580617, 169046541]$	$y^2+xy=x^3-x^2-580617x+169046541$	312.2.0.?	$[ ]$
286650.o1	286650o1	286650.o	286650o	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{9} \cdot 3^{7} \cdot 5^{2} \cdot 7^{2} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$312$	$2$	$0$	$5.127970182$	$1$		$2$	$1762560$	$1.552940$	$4772330903305/570306048$	$0.94358$	$3.41367$	$[1, -1, 0, -33777, 2136861]$	$y^2+xy=x^3-x^2-33777x+2136861$	312.2.0.?	$[(25, 1131)]$
286650.p1	286650p1	286650.p	286650p	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{7} \cdot 3^{7} \cdot 5^{6} \cdot 7^{3} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2184$	$2$	$0$	$3.125932182$	$1$		$2$	$4515840$	$2.018623$	$-9591639636223/843648$	$1.22499$	$4.13640$	$[1, -1, 0, -697167, 224245741]$	$y^2+xy=x^3-x^2-697167x+224245741$	2184.2.0.?	$[(443, 1259)]$
286650.q1	286650q1	286650.q	286650q	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{7} \cdot 3^{7} \cdot 5^{6} \cdot 7^{9} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2184$	$2$	$0$	$1$	$1$		$0$	$31610880$	$2.991577$	$-9591639636223/843648$	$1.22499$	$5.06553$	$[1, -1, 0, -34161192, -76847966784]$	$y^2+xy=x^3-x^2-34161192x-76847966784$	2184.2.0.?	$[ ]$
286650.r1	286650r1	286650.r	286650r	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{9} \cdot 3^{7} \cdot 5^{2} \cdot 7^{8} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$312$	$2$	$0$	$0.748888717$	$1$		$4$	$12337920$	$2.525898$	$4772330903305/570306048$	$0.94358$	$4.34280$	$[1, -1, 0, -1655082, -729633164]$	$y^2+xy=x^3-x^2-1655082x-729633164$	312.2.0.?	$[(1703, 36413)]$
286650.s1	286650s1	286650.s	286650s	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{17} \cdot 3^{3} \cdot 5^{6} \cdot 7^{7} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2184$	$2$	$0$	$6.187984053$	$1$		$0$	$3655680$	$2.092342$	$2284322013/11927552$	$0.95325$	$3.84048$	$[1, -1, 0, 100833, 34881741]$	$y^2+xy=x^3-x^2+100833x+34881741$	2184.2.0.?	$[(4887/2, 351147/2)]$
286650.t1	286650t1	286650.t	286650t	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{9} \cdot 3^{13} \cdot 5^{8} \cdot 7^{8} \cdot 13 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$312$	$2$	$0$	$4.659480932$	$1$		$8$	$35562240$	$3.115025$	$1551349793665/14556672$	$0.93224$	$5.02185$	$[1, -1, 0, -28450242, -57926063084]$	$y^2+xy=x^3-x^2-28450242x-57926063084$	312.2.0.?	$[(-3295, 7601), (20519, 2817653)]$
286650.u1	286650u1	286650.u	286650u	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 7^{8} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$52$	$2$	$0$	$1$	$1$		$0$	$11289600$	$2.585583$	$-78683185/119808$	$0.86449$	$4.33749$	$[1, -1, 0, -1053117, 792921541]$	$y^2+xy=x^3-x^2-1053117x+792921541$	52.2.0.a.1	$[ ]$
286650.v1	286650v1	286650.v	286650v	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2 \cdot 3^{11} \cdot 5^{13} \cdot 7^{2} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1560$	$2$	$0$	$1.295175149$	$1$		$4$	$25804800$	$2.882282$	$-662989657192009/14097531093750$	$1.00640$	$4.60756$	$[1, -1, 0, -1495692, 4325833966]$	$y^2+xy=x^3-x^2-1495692x+4325833966$	1560.2.0.?	$[(2489, 125318)]$
286650.w1	286650w1	286650.w	286650w	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2 \cdot 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$312$	$2$	$0$	$0.920538267$	$1$		$4$	$387072$	$0.837646$	$34295/78$	$0.80517$	$2.62643$	$[1, -1, 0, 873, 16771]$	$y^2+xy=x^3-x^2+873x+16771$	312.2.0.?	$[(23, 209)]$
286650.x1	286650x2	286650.x	286650x	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{5} \cdot 3^{8} \cdot 5^{7} \cdot 7^{6} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$5.568612047$	$1$		$2$	$11059200$	$2.578815$	$68523370149961/243360$	$0.97981$	$4.75743$	$[1, -1, 0, -9399042, -11088687884]$	$y^2+xy=x^3-x^2-9399042x-11088687884$	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(5039, 261068)]$
286650.x2	286650x1	286650.x	286650x	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 7^{6} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$2.784306023$	$1$		$5$	$5529600$	$2.232243$	$-16022066761/998400$	$0.92192$	$4.10021$	$[1, -1, 0, -579042, -178347884]$	$y^2+xy=x^3-x^2-579042x-178347884$	2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.?	$[(1364, 38918)]$
286650.y1	286650y1	286650.y	286650y	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 7^{9} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1092$	$2$	$0$	$1$	$1$		$0$	$21504000$	$2.942364$	$-301873457335/9984$	$0.92976$	$5.04644$	$[1, -1, 0, -31537242, -68162555084]$	$y^2+xy=x^3-x^2-31537242x-68162555084$	1092.2.0.?	$[ ]$
286650.z1	286650z4	286650.z	286650z	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{5} \cdot 3^{7} \cdot 5^{8} \cdot 7^{7} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$11.13684803$	$1$		$0$	$94371840$	$3.600780$	$79560762543506753209/479824800$	$0.99404$	$5.86875$	$[1, -1, 0, -987878817, -11950735818659]$	$y^2+xy=x^3-x^2-987878817x-11950735818659$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 104.12.0.?, 168.12.0.?, $\ldots$	$[(2992729/9, 1013767532/9)]$
286650.z2	286650z2	286650.z	286650z	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{10} \cdot 3^{8} \cdot 5^{10} \cdot 7^{8} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$10920$	$48$	$0$	$5.568424017$	$1$		$4$	$47185920$	$3.254208$	$19458380202497209/47698560000$	$0.95765$	$5.20697$	$[1, -1, 0, -61778817, -186487518659]$	$y^2+xy=x^3-x^2-61778817x-186487518659$	2.6.0.a.1, 20.12.0-2.a.1.1, 104.12.0.?, 168.12.0.?, 520.24.0.?, $\ldots$	$[(20009, 2556683)]$
286650.z3	286650z3	286650.z	286650z	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{5} \cdot 3^{10} \cdot 5^{14} \cdot 7^{10} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$11.13684803$	$1$		$0$	$94371840$	$3.600780$	$-4837870546133689/31603162500000$	$0.98374$	$5.29584$	$[1, -1, 0, -38846817, -326670834659]$	$y^2+xy=x^3-x^2-38846817x-326670834659$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 104.12.0.?, 168.12.0.?, $\ldots$	$[(495521/5, 322073791/5)]$
286650.z4	286650z1	286650.z	286650z	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{20} \cdot 3^{7} \cdot 5^{8} \cdot 7^{7} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$11.13684803$	$1$		$1$	$23592960$	$2.907635$	$12501706118329/7156531200$	$0.97977$	$4.62204$	$[1, -1, 0, -5330817, -491358659]$	$y^2+xy=x^3-x^2-5330817x-491358659$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 104.12.0.?, 168.12.0.?, $\ldots$	$[(853451/13, 693902756/13)]$
286650.ba1	286650ba4	286650.ba	286650ba	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{5} \cdot 3^{6} \cdot 5^{18} \cdot 7^{8} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$11.37574055$	$4$	$2$	$2$	$141557760$	$3.853943$	$143378317900125424089/4976562500000$	$1.02185$	$5.91562$	$[1, -1, 0, -1202168067, -16042599251659]$	$y^2+xy=x^3-x^2-1202168067x-16042599251659$	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 104.12.0.?, 168.12.0.?, $\ldots$	$[(241525, 117279229)]$
286650.ba2	286650ba2	286650.ba	286650ba	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{10} \cdot 3^{6} \cdot 5^{12} \cdot 7^{10} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$10920$	$48$	$0$	$5.687870277$	$1$		$6$	$70778880$	$3.507370$	$39920686684059609/6492304000000$	$1.02407$	$5.26415$	$[1, -1, 0, -78500067, -226972151659]$	$y^2+xy=x^3-x^2-78500067x-226972151659$	2.6.0.a.1, 40.12.0.b.1, 84.12.0.?, 104.12.0.?, 260.12.0.?, $\ldots$	$[(11029, 493198)]$
286650.ba3	286650ba1	286650.ba	286650ba	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{20} \cdot 3^{6} \cdot 5^{9} \cdot 7^{8} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$2.843935138$	$1$		$3$	$35389440$	$3.160797$	$884984855328729/83492864000$	$0.96922$	$4.96103$	$[1, -1, 0, -22052067, 36470664341]$	$y^2+xy=x^3-x^2-22052067x+36470664341$	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 84.12.0.?, 104.12.0.?, $\ldots$	$[(-901, 236263)]$
286650.ba4	286650ba3	286650.ba	286650ba	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{5} \cdot 3^{6} \cdot 5^{9} \cdot 7^{14} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$11.37574055$	$1$		$0$	$141557760$	$3.853943$	$236293804275620391/658593925444000$	$1.05092$	$5.51224$	$[1, -1, 0, 141999933, -1272362651659]$	$y^2+xy=x^3-x^2+141999933x-1272362651659$	2.3.0.a.1, 4.6.0.c.1, 40.12.0.s.1, 84.12.0.?, 104.12.0.?, $\ldots$	$[(7658869/31, 17891581618/31)]$
286650.bb1	286650bb1	286650.bb	286650bb	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{23} \cdot 3^{13} \cdot 5^{8} \cdot 7^{6} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$312$	$2$	$0$	$1$	$9$	$3$	$0$	$59351040$	$3.527199$	$-3214683778008145/238496514048$	$1.01651$	$5.32943$	$[1, -1, 0, -99120492, -403422049584]$	$y^2+xy=x^3-x^2-99120492x-403422049584$	312.2.0.?	$[ ]$
286650.bc1	286650bc2	286650.bc	286650bc	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{3} \cdot 3^{3} \cdot 5^{6} \cdot 7^{9} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2184$	$12$	$0$	$1$	$1$		$0$	$4300800$	$2.151291$	$8754552981/1352$	$0.95308$	$4.24625$	$[1, -1, 0, -1104567, 447040341]$	$y^2+xy=x^3-x^2-1104567x+447040341$	2.3.0.a.1, 104.6.0.?, 168.6.0.?, 1092.6.0.?, 2184.12.0.?	$[ ]$
286650.bc2	286650bc1	286650.bc	286650bc	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 7^{9} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2184$	$12$	$0$	$1$	$1$		$1$	$2150400$	$1.804720$	$2803221/832$	$0.85579$	$3.60591$	$[1, -1, 0, -75567, 5599341]$	$y^2+xy=x^3-x^2-75567x+5599341$	2.3.0.a.1, 104.6.0.?, 168.6.0.?, 546.6.0.?, 2184.12.0.?	$[ ]$
286650.bd1	286650bd1	286650.bd	286650bd	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 13^{2} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	8.2.0.2		$8$	$2$	$0$	$1.586647248$	$1$		$8$	$414720$	$1.032654$	$478515625/12168$	$1.11763$	$2.99064$	$[1, -1, 0, -5742, -162324]$	$y^2+xy=x^3-x^2-5742x-162324$	8.2.0.b.1	$[(-47, 69), (135, 1161)]$
286650.be1	286650be2	286650.be	286650be	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ 2 \cdot 3^{9} \cdot 5^{7} \cdot 7^{10} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$0$	$8847360$	$2.559429$	$7111117467/4057690$	$0.93056$	$4.28971$	$[1, -1, 0, -1325067, 69752591]$	$y^2+xy=x^3-x^2-1325067x+69752591$	2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.?	$[ ]$

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 $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 798 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 798 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