LMFDB - Elliptic curves over $\Q$ of conductor 499800

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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
499800.a1	499800a1	499800.a	499800a	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{8} \cdot 3^{4} \cdot 5^{9} \cdot 7^{9} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1190$	$2$	$0$	$1$	$1$		$0$	$15482880$	$2.417175$	$-51868672/172125$	$0.83515$	$3.99227$	$[0, -1, 0, -423033, -274684563]$	$y^2=x^3-x^2-423033x-274684563$	1190.2.0.?	$[]$
499800.b1	499800b1	499800.b	499800b	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{11} \cdot 3 \cdot 5^{2} \cdot 7^{10} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$408$	$2$	$0$	$9.947172560$	$1$		$0$	$2064384$	$1.536369$	$43307470/122451$	$0.82494$	$3.15960$	$[0, -1, 0, 13312, -1169748]$	$y^2=x^3-x^2+13312x-1169748$	408.2.0.?	$[(67681/29, 15735958/29)]$
499800.c1	499800c2	499800.c	499800c	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{11} \cdot 3^{2} \cdot 5^{3} \cdot 7^{6} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$11.22856315$	$1$		$1$	$7741440$	$2.182140$	$101215672859338/2601$	$0.99463$	$4.29636$	$[0, -1, 0, -3020768, -2019797268]$	$y^2=x^3-x^2-3020768x-2019797268$	2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.?	$[(209949/10, 29798943/10)]$
499800.c2	499800c1	499800.c	499800c	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{10} \cdot 3 \cdot 5^{3} \cdot 7^{6} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$5.614281578$	$1$		$1$	$3870720$	$1.835567$	$-49241558516/250563$	$0.93737$	$3.66287$	$[0, -1, 0, -188568, -31592868]$	$y^2=x^3-x^2-188568x-31592868$	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(4133/2, 236725/2)]$
499800.d1	499800d2	499800.d	499800d	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{8} \cdot 3^{14} \cdot 5^{7} \cdot 7^{8} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$10.04132558$	$1$		$1$	$123863040$	$3.533001$	$1089467982958920784/5757188040765$	$0.95761$	$5.21336$	$[0, -1, 0, -166742508, -824890628988]$	$y^2=x^3-x^2-166742508x-824890628988$	2.3.0.a.1, 84.6.0.?, 170.6.0.?, 7140.12.0.?	$[(-703931/10, 970347/10)]$
499800.d2	499800d1	499800.d	499800d	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{4} \cdot 3^{7} \cdot 5^{8} \cdot 7^{7} \cdot 17^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$5.020662793$	$1$		$1$	$61931520$	$3.186428$	$16229658398623744/9238051095525$	$1.01710$	$4.68149$	$[0, -1, 0, -16281883, 3244651012]$	$y^2=x^3-x^2-16281883x+3244651012$	2.3.0.a.1, 42.6.0.a.1, 340.6.0.?, 7140.12.0.?	$[(-6147/2, 1255625/2)]$
499800.e1	499800e2	499800.e	499800e	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{10} \cdot 3^{10} \cdot 5^{3} \cdot 7^{10} \cdot 17^{5} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$50.71095707$	$1$		$1$	$457113600$	$4.153831$	$3000288402049531613326484/201302567519193$	$1.03359$	$6.08110$	$[0, -1, 0, -7420146848, -246015501250308]$	$y^2=x^3-x^2-7420146848x-246015501250308$	2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.?	$[(-13606418143810783999049918/16540968669, 16577198916563845009008395514901160/16540968669)]$
499800.e2	499800e1	499800.e	499800e	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 7^{8} \cdot 17^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$101.4219141$	$1$		$1$	$228556800$	$3.807255$	$-2912724418390669788176/24004439372646243$	$1.00879$	$5.44785$	$[0, -1, 0, -462847548, -3859741814508]$	$y^2=x^3-x^2-462847548x-3859741814508$	2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[(1363136339930002803008326223315972298327206254/125789934843394389807, 48575855942766091728887955186971090696627234636248733538873886249336/125789934843394389807)]$
499800.f1	499800f1	499800.f	499800f	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7^{9} \cdot 17^{2} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$1.197653455$	$1$		$10$	$1990656$	$1.485872$	$12024231680/8029287$	$0.86766$	$3.11517$	$[0, -1, 0, 17232, -347283]$	$y^2=x^3-x^2+17232x-347283$	14.2.0.a.1	$[(1398, 52479), (26, 343)]$
499800.g1	499800g1	499800.g	499800g	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7^{3} \cdot 17^{2} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$0.526394981$	$1$		$12$	$356352$	$0.600006$	$-731887360/23409$	$0.82440$	$2.46107$	$[0, -1, 0, -968, 12237]$	$y^2=x^3-x^2-968x+12237$	14.2.0.a.1	$[(-2, 119), (26, 63)]$
499800.h1	499800h1	499800.h	499800h	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7^{9} \cdot 17^{2} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$11.03915175$	$1$		$8$	$12472320$	$2.377678$	$-731887360/23409$	$0.82440$	$4.08675$	$[0, -1, 0, -1186208, -510428463]$	$y^2=x^3-x^2-1186208x-510428463$	14.2.0.a.1	$[(1748, 52479), (2513, 111231)]$
499800.i1	499800i1	499800.i	499800i	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{9} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$714$	$2$	$0$	$2.378027181$	$1$		$2$	$8322048$	$2.197723$	$606058347520/334611$	$0.92295$	$4.07008$	$[0, -1, 0, -1122753, -457311483]$	$y^2=x^3-x^2-1122753x-457311483$	714.2.0.?	$[(-604, 343)]$
499800.j1	499800j1	499800.j	499800j	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7^{3} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$714$	$2$	$0$	$1.440119584$	$1$		$2$	$5944320$	$2.029488$	$606058347520/334611$	$0.92295$	$3.91623$	$[0, -1, 0, -572833, 166986037]$	$y^2=x^3-x^2-572833x+166986037$	714.2.0.?	$[(467, 1050)]$
499800.k1	499800k1	499800.k	499800k	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{4} \cdot 3^{8} \cdot 5^{10} \cdot 7^{11} \cdot 17^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$4.071848016$	$1$		$2$	$608256000$	$4.326927$	$-286292506333578400000/2661667281642663$	$1.05216$	$5.91847$	$[0, -1, 0, -3623805208, -84634996787963]$	$y^2=x^3-x^2-3623805208x-84634996787963$	14.2.0.a.1	$[(254238, 124206131)]$
499800.l1	499800l1	499800.l	499800l	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{11} \cdot 3^{6} \cdot 5^{4} \cdot 7^{3} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$952$	$2$	$0$	$2.975393240$	$1$		$2$	$3262464$	$1.638027$	$-17371446350/3581577$	$0.91451$	$3.33661$	$[0, -1, 0, -41008, -3708788]$	$y^2=x^3-x^2-41008x-3708788$	952.2.0.?	$[(553, 11934)]$
499800.m1	499800m1	499800.m	499800m	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{11} \cdot 3^{6} \cdot 5^{10} \cdot 7^{9} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$952$	$2$	$0$	$7.244784988$	$1$		$2$	$114186240$	$3.415699$	$-17371446350/3581577$	$0.91451$	$4.96229$	$[0, -1, 0, -50235208, 159617106412]$	$y^2=x^3-x^2-50235208x+159617106412$	952.2.0.?	$[(6253, 299916)]$
499800.n1	499800n1	499800.n	499800n	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 7^{7} \cdot 17^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$714$	$2$	$0$	$1$	$1$		$0$	$4257792$	$1.930771$	$376627502080/75213117$	$0.89076$	$3.58895$	$[0, -1, 0, -136873, 15818797]$	$y^2=x^3-x^2-136873x+15818797$	714.2.0.?	$[]$
499800.o1	499800o1	499800.o	499800o	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{16} \cdot 7^{2} \cdot 17^{4} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$4.282582585$	$1$		$2$	$75755520$	$3.193886$	$-257612808846922138624/22022138671875$	$1.01259$	$5.03673$	$[0, -1, 0, -77001633, 260119523637]$	$y^2=x^3-x^2-77001633x+260119523637$	6.2.0.a.1	$[(14387, 1459450)]$
499800.p1	499800p1	499800.p	499800p	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{8} \cdot 3^{4} \cdot 5^{9} \cdot 7^{13} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1190$	$2$	$0$	$2.085787690$	$1$		$0$	$108380160$	$3.531471$	$-4541639379968/327731407479$	$1.00437$	$5.00563$	$[0, -1, 0, -13417833, -212090688963]$	$y^2=x^3-x^2-13417833x-212090688963$	1190.2.0.?	$[(109493/2, 35714875/2)]$
499800.q1	499800q1	499800.q	499800q	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{4} \cdot 3^{8} \cdot 5^{3} \cdot 7^{8} \cdot 17^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1$	$1$		$1$	$5308416$	$2.116714$	$21014019516416/1579475457$	$0.93871$	$3.80679$	$[0, -1, 0, -354923, -75798708]$	$y^2=x^3-x^2-354923x-75798708$	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[]$
499800.q2	499800q2	499800.q	499800q	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{8} \cdot 3^{4} \cdot 5^{3} \cdot 7^{7} \cdot 17^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1$	$1$		$1$	$10616832$	$2.463287$	$1151030266864/13686001623$	$0.94367$	$4.02329$	$[0, -1, 0, 339652, -336958908]$	$y^2=x^3-x^2+339652x-336958908$	2.3.0.a.1, 70.6.0.a.1, 340.6.0.?, 476.6.0.?, 2380.12.0.?	$[]$
499800.r1	499800r5	499800.r	499800r	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{11} \cdot 3^{8} \cdot 5^{7} \cdot 7^{7} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.98	2B	$28560$	$192$	$1$	$5.018593139$	$1$		$3$	$113246208$	$3.462833$	$4341492689834008802/66364515$	$0.97363$	$5.47719$	$[0, -1, 0, -528710408, 4679411680812]$	$y^2=x^3-x^2-528710408x+4679411680812$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 140.12.0.?, 240.48.0.?, $\ldots$	$[(16193, 603126)]$
499800.r2	499800r4	499800.r	499800r	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{10} \cdot 3 \cdot 5^{8} \cdot 7^{14} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.11	2B	$28560$	$192$	$1$	$10.03718627$	$1$		$1$	$56623104$	$3.116261$	$2370900673008004/7350121275$	$0.93132$	$4.85184$	$[0, -1, 0, -34300408, -77102109188]$	$y^2=x^3-x^2-34300408x-77102109188$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 120.24.0.?, $\ldots$	$[(83893/3, 17351900/3)]$
499800.r3	499800r3	499800.r	499800r	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{8} \cdot 17^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.19	2Cs	$14280$	$192$	$1$	$2.509296569$	$1$		$7$	$56623104$	$3.116261$	$2125842732972004/8287371225$	$0.93067$	$4.84352$	$[0, -1, 0, -33075408, 72979990812]$	$y^2=x^3-x^2-33075408x+72979990812$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 120.48.0.?, 140.24.0.?, $\ldots$	$[(-807, 314874)]$
499800.r4	499800r6	499800.r	499800r	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{11} \cdot 3^{2} \cdot 5^{7} \cdot 7^{7} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.96	2B	$28560$	$192$	$1$	$5.018593139$	$1$		$1$	$113246208$	$3.462833$	$-161254333699202/2197363593915$	$0.96591$	$4.94372$	$[0, -1, 0, -17640408, 141295300812]$	$y^2=x^3-x^2-17640408x+141295300812$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 120.48.0.?, 140.12.0.?, $\ldots$	$[(39733/2, 7781325/2)]$
499800.r5	499800r2	499800.r	499800r	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{8} \cdot 3^{2} \cdot 5^{10} \cdot 7^{10} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.26	2Cs	$14280$	$192$	$1$	$5.018593139$	$1$		$5$	$28311552$	$2.769688$	$6752700360016/3903125625$	$0.98688$	$4.29953$	$[0, -1, 0, -3062908, -70434188]$	$y^2=x^3-x^2-3062908x-70434188$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 120.48.0.?, 140.24.0.?, $\ldots$	$[(8377, 749700)]$
499800.r6	499800r1	499800.r	499800r	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{4} \cdot 3 \cdot 5^{14} \cdot 7^{8} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.11	2B	$28560$	$192$	$1$	$10.03718627$	$1$		$1$	$14155776$	$2.423115$	$1684801439744/976171875$	$1.01426$	$3.98243$	$[0, -1, 0, 765217, -9184188]$	$y^2=x^3-x^2+765217x-9184188$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 102.6.0.?, $\ldots$	$[(128217/8, 50062467/8)]$
499800.s1	499800s3	499800.s	499800s	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{10} \cdot 3^{5} \cdot 5^{8} \cdot 7^{7} \cdot 17 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$14280$	$48$	$0$	$38.66553098$	$1$		$5$	$283115520$	$4.109474$	$396168254899399897286404/722925$	$1.01232$	$6.29477$	$[0, -1, 0, -18892440408, 999500329078812]$	$y^2=x^3-x^2-18892440408x+999500329078812$	2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 136.12.0.?, 168.12.0.?, $\ldots$	$[(79382, 12200), (18405889/15, 4050161738/15)]$
499800.s2	499800s2	499800.s	499800s	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{8} \cdot 3^{10} \cdot 5^{10} \cdot 7^{8} \cdot 17^{2} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$7140$	$48$	$0$	$9.666382747$	$1$		$17$	$141557760$	$3.762901$	$386883437712133521616/522620555625$	$0.98365$	$5.66088$	$[0, -1, 0, -1180777908, 15617477203812]$	$y^2=x^3-x^2-1180777908x+15617477203812$	2.6.0.a.1, 60.12.0-2.a.1.1, 68.12.0.a.1, 84.12.0.?, 140.12.0.?, $\ldots$	$[(18156, 404838), (80053/2, 337875/2)]$
499800.s3	499800s4	499800.s	499800s	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{10} \cdot 3^{20} \cdot 5^{8} \cdot 7^{10} \cdot 17 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$14280$	$48$	$0$	$38.66553098$	$1$		$5$	$283115520$	$4.109474$	$-94184605035375674404/3558001972390425$	$0.98426$	$5.66368$	$[0, -1, 0, -1170365408, 15906424078812]$	$y^2=x^3-x^2-1170365408x+15906424078812$	2.3.0.a.1, 4.6.0.c.1, 68.12.0.h.1, 120.12.0.?, 140.12.0.?, $\ldots$	$[(19406, 708588), (328477/6, 528522625/6)]$
499800.s4	499800s1	499800.s	499800s	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{4} \cdot 3^{5} \cdot 5^{14} \cdot 7^{7} \cdot 17^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$14280$	$48$	$0$	$9.666382747$	$1$		$11$	$70778880$	$3.416328$	$1551621461335545856/55495789453125$	$0.98165$	$5.02901$	$[0, -1, 0, -74449783, 239516266312]$	$y^2=x^3-x^2-74449783x+239516266312$	2.3.0.a.1, 4.6.0.c.1, 42.6.0.a.1, 60.12.0-4.c.1.2, 84.12.0.?, $\ldots$	$[(6732, 208250), (5697, 15625)]$
499800.t1	499800t3	499800.t	499800t	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{11} \cdot 3 \cdot 5^{6} \cdot 7^{10} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$14280$	$48$	$0$	$1$	$4$	$2$	$1$	$9437184$	$2.384094$	$569001644066/122451$	$0.92381$	$4.26947$	$[0, -1, 0, -2685608, 1694575212]$	$y^2=x^3-x^2-2685608x+1694575212$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 168.12.0.?, 408.12.0.?, $\ldots$	$[]$
499800.t2	499800t4	499800.t	499800t	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{11} \cdot 3 \cdot 5^{6} \cdot 7^{7} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$14280$	$48$	$0$	$1$	$4$	$2$	$1$	$9437184$	$2.384094$	$52767497666/1753941$	$0.90421$	$4.08825$	$[0, -1, 0, -1215608, -500428788]$	$y^2=x^3-x^2-1215608x-500428788$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 168.12.0.?, 408.12.0.?, $\ldots$	$[]$
499800.t3	499800t2	499800.t	499800t	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 7^{8} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$14280$	$48$	$0$	$1$	$1$		$3$	$4718592$	$2.037521$	$381775972/127449$	$0.85650$	$3.65981$	$[0, -1, 0, -186608, 20245212]$	$y^2=x^3-x^2-186608x+20245212$	2.6.0.a.1, 20.12.0-2.a.1.1, 168.12.0.?, 408.12.0.?, 476.12.0.?, $\ldots$	$[]$
499800.t4	499800t1	499800.t	499800t	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 7^{7} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$14280$	$48$	$0$	$1$	$1$		$1$	$2359296$	$1.690948$	$9148592/9639$	$0.79089$	$3.26981$	$[0, -1, 0, 33892, 2164212]$	$y^2=x^3-x^2+33892x+2164212$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 168.12.0.?, 238.6.0.?, $\ldots$	$[]$
499800.u1	499800u1	499800.u	499800u	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{10} \cdot 3^{5} \cdot 5^{6} \cdot 7^{2} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$204$	$2$	$0$	$1$	$1$		$0$	$829440$	$1.105902$	$13805092/4131$	$0.83157$	$2.81364$	$[0, -1, 0, -4608, 85212]$	$y^2=x^3-x^2-4608x+85212$	204.2.0.?	$[]$
499800.v1	499800v2	499800.v	499800v	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{11} \cdot 3^{4} \cdot 5^{7} \cdot 7^{9} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4760$	$12$	$0$	$1$	$1$		$1$	$17891328$	$2.564571$	$231002606/117045$	$0.85805$	$4.11923$	$[0, -1, 0, -1392008, -222539988]$	$y^2=x^3-x^2-1392008x-222539988$	2.3.0.a.1, 280.6.0.?, 476.6.0.?, 680.6.0.?, 4760.12.0.?	$[]$
499800.v2	499800v1	499800.v	499800v	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 7^{9} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4760$	$12$	$0$	$1$	$1$		$1$	$8945664$	$2.217999$	$5771588/3825$	$0.79274$	$3.78524$	$[0, -1, 0, 322992, -27029988]$	$y^2=x^3-x^2+322992x-27029988$	2.3.0.a.1, 238.6.0.?, 280.6.0.?, 680.6.0.?, 4760.12.0.?	$[]$
499800.w1	499800w1	499800.w	499800w	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{10} \cdot 3 \cdot 5^{4} \cdot 7^{10} \cdot 17^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$1$	$1$		$0$	$5225472$	$1.978777$	$-4900/867$	$0.87931$	$3.58569$	$[0, -1, 0, -20008, -19072388]$	$y^2=x^3-x^2-20008x-19072388$	6.2.0.a.1	$[]$
499800.x1	499800x1	499800.x	499800x	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{10} \cdot 3 \cdot 5^{10} \cdot 7^{4} \cdot 17^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$2.033871869$	$1$		$2$	$3732480$	$1.810541$	$-4900/867$	$0.87931$	$3.43184$	$[0, -1, 0, -10208, 6956412]$	$y^2=x^3-x^2-10208x+6956412$	6.2.0.a.1	$[(138, 2856)]$
499800.y1	499800y3	499800.y	499800y	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{10} \cdot 3^{3} \cdot 5^{9} \cdot 7^{6} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$14280$	$48$	$0$	$1$	$1$		$1$	$63700992$	$3.156513$	$40472803590982276/281883375$	$0.99750$	$5.06807$	$[0, -1, 0, -88318008, 319491582012]$	$y^2=x^3-x^2-88318008x+319491582012$	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 60.12.0.h.1, 408.12.0.?, $\ldots$	$[]$
499800.y2	499800y2	499800.y	499800y	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{8} \cdot 3^{6} \cdot 5^{12} \cdot 7^{6} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$7140$	$48$	$0$	$1$	$1$		$3$	$31850496$	$2.809940$	$41948679809104/3291890625$	$0.95346$	$4.43872$	$[0, -1, 0, -5630508, 4782957012]$	$y^2=x^3-x^2-5630508x+4782957012$	2.6.0.a.1, 28.12.0-2.a.1.1, 60.12.0.a.1, 204.12.0.?, 340.12.0.?, $\ldots$	$[]$
499800.y3	499800y1	499800.y	499800y	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{4} \cdot 3^{12} \cdot 5^{9} \cdot 7^{6} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$14280$	$48$	$0$	$1$	$1$		$1$	$15925248$	$2.463367$	$5951163357184/1129312125$	$0.97411$	$4.07860$	$[0, -1, 0, -1165383, -396587988]$	$y^2=x^3-x^2-1165383x-396587988$	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 120.12.0.?, 170.6.0.?, $\ldots$	$[]$
499800.y4	499800y4	499800.y	499800y	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{10} \cdot 3^{3} \cdot 5^{18} \cdot 7^{6} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$14280$	$48$	$0$	$1$	$4$	$2$	$1$	$63700992$	$3.156513$	$10400706415004/112060546875$	$1.00063$	$4.65673$	$[0, -1, 0, 5614992, 21493770012]$	$y^2=x^3-x^2+5614992x+21493770012$	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 102.6.0.?, 120.12.0.?, $\ldots$	$[]$
499800.z1	499800z4	499800.z	499800z	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{11} \cdot 3^{4} \cdot 5^{9} \cdot 7^{7} \cdot 17^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$840$	$48$	$0$	$1$	$1$		$1$	$353894400$	$3.931736$	$1288552627805503538/494406808630875$	$0.98082$	$5.38462$	$[0, -1, 0, -352673008, 1479938296012]$	$y^2=x^3-x^2-352673008x+1479938296012$	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.5, 280.24.0.?, 840.48.0.?	$[]$
499800.z2	499800z2	499800.z	499800z	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{10} \cdot 3^{2} \cdot 5^{12} \cdot 7^{8} \cdot 17^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$840$	$48$	$0$	$1$	$1$		$3$	$176947200$	$3.585163$	$1746832862522547076/575511890625$	$0.96644$	$5.35498$	$[0, -1, 0, -309798008, 2098281546012]$	$y^2=x^3-x^2-309798008x+2098281546012$	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.6, 280.24.0.?, 420.24.0.?, $\ldots$	$[]$
499800.z3	499800z1	499800.z	499800z	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{8} \cdot 3 \cdot 5^{9} \cdot 7^{7} \cdot 17^{2} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$840$	$48$	$0$	$1$	$1$		$3$	$88473600$	$3.238590$	$6985673827271875024/758625$	$0.96643$	$5.35497$	$[0, -1, 0, -309773508, 2098630083012]$	$y^2=x^3-x^2-309773508x+2098630083012$	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.13, 210.6.0.?, 280.24.0.?, $\ldots$	$[]$
499800.z4	499800z3	499800.z	499800z	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{11} \cdot 3 \cdot 5^{18} \cdot 7^{10} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$840$	$48$	$0$	$1$	$4$	$2$	$1$	$353894400$	$3.931736$	$-561119707443442898/508219482421875$	$0.97595$	$5.39305$	$[0, -1, 0, -267315008, 2694318036012]$	$y^2=x^3-x^2-267315008x+2694318036012$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.v.1.6, 280.24.0.?, $\ldots$	$[]$
499800.ba1	499800ba1	499800.ba	499800ba	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ 2^{11} \cdot 3^{11} \cdot 5^{8} \cdot 7^{6} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$408$	$2$	$0$	$10.66657606$	$1$		$0$	$19958400$	$2.683746$	$61184457890/3011499$	$0.93678$	$4.34483$	$[0, -1, 0, -3734208, 2657954412]$	$y^2=x^3-x^2-3734208x+2657954412$	408.2.0.?	$[(-209743/11, 83327950/11)]$
499800.bb1	499800bb1	499800.bb	499800bb	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{4} \cdot 3 \cdot 5^{9} \cdot 7^{6} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$510$	$2$	$0$	$4.221024367$	$1$		$0$	$1797120$	$1.428183$	$87808/51$	$0.88354$	$3.07240$	$[0, -1, 0, 14292, -44463]$	$y^2=x^3-x^2+14292x-44463$	510.2.0.?	$[(28/3, 125/3)]$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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