LMFDB - Elliptic curves over $\Q$ of conductor 53550

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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
53550.a1	53550bk2	53550.a	53550bk	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{3} \cdot 3^{6} \cdot 5^{7} \cdot 7^{6} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$2040$	$16$	$0$	$2.541259991$	$1$		$0$	$1140480$	$2.079266$	$-19085751483878521/80001320$	$0.95098$	$4.93518$	$[1, -1, 0, -1252692, 539968216]$	$y^2+xy=x^3-x^2-1252692x+539968216$	3.4.0.a.1, 15.8.0-3.a.1.2, 408.8.0.?, 680.2.0.?, 2040.16.0.?	$[(10389/4, -12203/4)]$
53550.a2	53550bk1	53550.a	53550bk	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2 \cdot 3^{6} \cdot 5^{9} \cdot 7^{2} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$2040$	$16$	$0$	$0.847086663$	$1$		$4$	$380160$	$1.529959$	$-8502154921/60184250$	$0.89208$	$3.82927$	$[1, -1, 0, -9567, 1312591]$	$y^2+xy=x^3-x^2-9567x+1312591$	3.4.0.a.1, 15.8.0-3.a.1.1, 408.8.0.?, 680.2.0.?, 2040.16.0.?	$[(129, 1423)]$
53550.b1	53550y1	53550.b	53550y	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{17} \cdot 3^{9} \cdot 5^{6} \cdot 7^{5} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2856$	$2$	$0$	$1$	$1$		$0$	$2284800$	$2.527863$	$-344002044213921241/1011143540736$	$1.00402$	$5.20122$	$[1, -1, 0, -3284442, 2297713716]$	$y^2+xy=x^3-x^2-3284442x+2297713716$	2856.2.0.?	$[]$
53550.c1	53550x2	53550.c	53550x	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{2} \cdot 3^{7} \cdot 5^{7} \cdot 7^{2} \cdot 17^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$0.301339317$	$1$		$36$	$196608$	$1.480967$	$3540302642521/849660$	$0.89571$	$4.14603$	$[1, -1, 0, -71442, 7366216]$	$y^2+xy=x^3-x^2-71442x+7366216$	2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.?	$[(149, 38), (74, 1538)]$
53550.c2	53550x1	53550.c	53550x	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 7 \cdot 17 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$1.205357268$	$1$		$21$	$98304$	$1.134392$	$-594823321/428400$	$0.95278$	$3.42205$	$[1, -1, 0, -3942, 143716]$	$y^2+xy=x^3-x^2-3942x+143716$	2.3.0.a.1, 60.6.0.b.1, 238.6.0.?, 7140.12.0.?	$[(-16, 458), (24, 238)]$
53550.d1	53550l2	53550.d	53550l	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 17^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$0.498980940$	$1$		$22$	$24576$	$0.357320$	$1493271207/56644$	$0.91472$	$2.68620$	$[1, -1, 0, -357, 2601]$	$y^2+xy=x^3-x^2-357x+2601$	2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.?	$[(4, 33), (18, 33)]$
53550.d2	53550l1	53550.d	53550l	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 7 \cdot 17 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$1.995923763$	$1$		$15$	$12288$	$0.010746$	$6128487/1904$	$0.84703$	$2.18147$	$[1, -1, 0, -57, -99]$	$y^2+xy=x^3-x^2-57x-99$	2.3.0.a.1, 60.6.0.b.1, 476.6.0.?, 3570.6.0.?, 7140.12.0.?	$[(9, 3), (10, 11)]$
53550.e1	53550m2	53550.e	53550m	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{7} \cdot 3^{3} \cdot 5^{9} \cdot 7^{4} \cdot 17^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$9$	$3$	$0$	$23654400$	$3.801319$	$461103615103087102895631/619571373437190272$	$1.04610$	$6.63724$	$[1, -1, 0, -603563367, -5700542067459]$	$y^2+xy=x^3-x^2-603563367x-5700542067459$	2.3.0.a.1, 120.6.0.?, 136.6.0.?, 1020.6.0.?, 2040.12.0.?	$[]$
53550.e2	53550m1	53550.e	53550m	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{9} \cdot 7^{8} \cdot 17^{5} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$9$	$3$	$1$	$11827200$	$3.454746$	$-42779190704491347471/134106202987839488$	$1.06667$	$5.95519$	$[1, -1, 0, -27323367, -139249827459]$	$y^2+xy=x^3-x^2-27323367x-139249827459$	2.3.0.a.1, 120.6.0.?, 136.6.0.?, 510.6.0.?, 2040.12.0.?	$[]$
53550.f1	53550b2	53550.f	53550b	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2 \cdot 3^{9} \cdot 5^{6} \cdot 7^{3} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$14280$	$16$	$0$	$9.599659304$	$1$		$0$	$155520$	$1.353037$	$-19486825371/11662$	$0.90778$	$3.97104$	$[1, -1, 0, -37842, -2825434]$	$y^2+xy=x^3-x^2-37842x-2825434$	3.4.0.a.1, 15.8.0-3.a.1.1, 2856.8.0.?, 14280.16.0.?	$[(63133/11, 14188529/11)]$
53550.f2	53550b1	53550.f	53550b	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{3} \cdot 3^{3} \cdot 5^{6} \cdot 7 \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$14280$	$16$	$0$	$3.199886434$	$1$		$2$	$51840$	$0.803731$	$17779581/275128$	$0.91363$	$3.02103$	$[1, -1, 0, 408, -16184]$	$y^2+xy=x^3-x^2+408x-16184$	3.4.0.a.1, 15.8.0-3.a.1.2, 2856.8.0.?, 14280.16.0.?	$[(23, 59)]$
53550.g1	53550bg1	53550.g	53550bg	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{9} \cdot 3^{6} \cdot 5^{10} \cdot 7 \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$14280$	$16$	$0$	$10.25793023$	$1$		$2$	$1244160$	$2.302334$	$-137810063865625/17608192$	$0.99780$	$5.07359$	$[1, -1, 0, -2070117, -1146020459]$	$y^2+xy=x^3-x^2-2070117x-1146020459$	3.4.0.a.1, 15.8.0-3.a.1.1, 952.2.0.?, 2856.8.0.?, 14280.16.0.?	$[(564605, 423961376)]$
53550.g2	53550bg2	53550.g	53550bg	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{27} \cdot 3^{6} \cdot 5^{10} \cdot 7^{3} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$14280$	$16$	$0$	$30.77379071$	$1$		$0$	$3732480$	$2.851643$	$511460384375/782623571968$	$1.09202$	$5.28328$	$[1, -1, 0, 320508, -3590673584]$	$y^2+xy=x^3-x^2+320508x-3590673584$	3.4.0.a.1, 15.8.0-3.a.1.2, 952.2.0.?, 2856.8.0.?, 14280.16.0.?	$[(69389509537955/11086, 577632428044844250431/11086)]$
53550.h1	53550c1	53550.h	53550c	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{5} \cdot 3^{9} \cdot 5^{6} \cdot 7^{5} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2856$	$2$	$0$	$1$	$1$		$0$	$336000$	$1.653753$	$15494117157/9143008$	$0.99372$	$3.94989$	$[1, -1, 0, 35058, 345716]$	$y^2+xy=x^3-x^2+35058x+345716$	2856.2.0.?	$[]$
53550.i1	53550bf2	53550.i	53550bf	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2 \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.6	2B	$952$	$12$	$0$	$2.648823805$	$1$		$4$	$1179648$	$2.315445$	$1114128841413009241/57352050$	$0.97069$	$5.30868$	$[1, -1, 0, -4859442, 4124351466]$	$y^2+xy=x^3-x^2-4859442x+4124351466$	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(1243, 1223)]$
53550.i2	53550bf1	53550.i	53550bf	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{2} \cdot 3^{14} \cdot 5^{10} \cdot 7 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.1	2B	$952$	$12$	$0$	$1.324411902$	$1$		$7$	$589824$	$1.968872$	$-270601485933241/1951897500$	$0.92655$	$4.54543$	$[1, -1, 0, -303192, 64732716]$	$y^2+xy=x^3-x^2-303192x+64732716$	2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.?	$[(114, 5568)]$
53550.j1	53550bd2	53550.j	53550bd	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{5} \cdot 3^{6} \cdot 5^{8} \cdot 7^{6} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.6	2B	$952$	$12$	$0$	$3.005023219$	$1$		$4$	$737280$	$2.219303$	$7876916680687209/27200448800$	$0.97147$	$4.85390$	$[1, -1, 0, -932667, 345884741]$	$y^2+xy=x^3-x^2-932667x+345884741$	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(589, 493)]$
53550.j2	53550bd1	53550.j	53550bd	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{10} \cdot 3^{6} \cdot 5^{10} \cdot 7^{3} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.1	2B	$952$	$12$	$0$	$1.502511609$	$1$		$7$	$368640$	$1.872730$	$-338463151209/3731840000$	$1.04122$	$4.20580$	$[1, -1, 0, -32667, 10184741]$	$y^2+xy=x^3-x^2-32667x+10184741$	2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.?	$[(214, 3493)]$
53550.k1	53550be2	53550.k	53550be	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{3} \cdot 3^{7} \cdot 5^{7} \cdot 7^{6} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$14280$	$12$	$0$	$0.915415199$	$1$		$6$	$442368$	$1.906717$	$15417797707369/4080067320$	$0.91520$	$4.28116$	$[1, -1, 0, -116667, -11270259]$	$y^2+xy=x^3-x^2-116667x-11270259$	2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.?	$[(-171, 1998)]$
53550.k2	53550be1	53550.k	53550be	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{6} \cdot 3^{8} \cdot 5^{8} \cdot 7^{3} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$14280$	$12$	$0$	$1.830830398$	$1$		$5$	$221184$	$1.560143$	$59822347031/83966400$	$0.88512$	$3.80382$	$[1, -1, 0, 18333, -1145259]$	$y^2+xy=x^3-x^2+18333x-1145259$	2.3.0.a.1, 120.6.0.?, 238.6.0.?, 14280.12.0.?	$[(174, 2613)]$
53550.l1	53550j2	53550.l	53550j	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{5} \cdot 3^{3} \cdot 5^{9} \cdot 7^{4} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$0$	$307200$	$1.646498$	$398525769279/22204448$	$0.99462$	$4.08618$	$[1, -1, 0, -57492, 5058416]$	$y^2+xy=x^3-x^2-57492x+5058416$	2.3.0.a.1, 120.6.0.?, 136.6.0.?, 1020.6.0.?, 2040.12.0.?	$[]$
53550.l2	53550j1	53550.l	53550j	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{10} \cdot 3^{3} \cdot 5^{9} \cdot 7^{2} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$1$	$153600$	$1.299923$	$33076161/852992$	$1.16814$	$3.56980$	$[1, -1, 0, 2508, 318416]$	$y^2+xy=x^3-x^2+2508x+318416$	2.3.0.a.1, 120.6.0.?, 136.6.0.?, 510.6.0.?, 2040.12.0.?	$[]$
53550.m1	53550a4	53550.m	53550a	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{2} \cdot 3^{9} \cdot 5^{12} \cdot 7^{3} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$7140$	$96$	$1$	$5.574141016$	$1$		$2$	$1658880$	$2.522343$	$42547659109328043/6195437500$	$1.03906$	$5.31150$	$[1, -1, 0, -4909317, -4185022159]$	$y^2+xy=x^3-x^2-4909317x-4185022159$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$	$[(6404, 473223)]$
53550.m2	53550a3	53550.m	53550a	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{4} \cdot 3^{9} \cdot 5^{9} \cdot 7^{6} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$7140$	$96$	$1$	$11.14828203$	$1$		$1$	$829440$	$2.175766$	$-7794190562283/4000066000$	$1.00741$	$4.57951$	$[1, -1, 0, -278817, -77768659]$	$y^2+xy=x^3-x^2-278817x-77768659$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$	$[(576974/19, 403615897/19)]$
53550.m3	53550a2	53550.m	53550a	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{6} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 17^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$7140$	$96$	$1$	$1.858047005$	$1$		$6$	$552960$	$1.973036$	$731992986690867/270340772800$	$0.95616$	$4.33299$	$[1, -1, 0, -140817, 12269341]$	$y^2+xy=x^3-x^2-140817x+12269341$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$	$[(74, 1463)]$
53550.m4	53550a1	53550.m	53550a	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{12} \cdot 3^{3} \cdot 5^{7} \cdot 7^{2} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$7140$	$96$	$1$	$3.716094010$	$1$		$5$	$276480$	$1.626461$	$5265299629773/4930293760$	$0.92888$	$3.87979$	$[1, -1, 0, 27183, 1349341]$	$y^2+xy=x^3-x^2+27183x+1349341$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$	$[(-25, 821)]$
53550.n1	53550u4	53550.n	53550u	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{12} \cdot 3^{7} \cdot 5^{7} \cdot 7^{6} \cdot 17^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$7140$	$96$	$1$	$1$	$1$		$0$	$10616832$	$3.413456$	$2769646315294225853641/174474906948464640$	$1.00215$	$6.02673$	$[1, -1, 0, -65828817, -194048058659]$	$y^2+xy=x^3-x^2-65828817x-194048058659$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 15.8.0-3.a.1.2, $\ldots$	$[]$
53550.n2	53550u2	53550.n	53550u	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{4} \cdot 3^{9} \cdot 5^{9} \cdot 7^{2} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$7140$	$96$	$1$	$1$	$1$		$0$	$3538944$	$2.864151$	$2641739317048851306841/764694000$	$1.05577$	$6.02239$	$[1, -1, 0, -64799442, -200756664284]$	$y^2+xy=x^3-x^2-64799442x-200756664284$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 15.8.0-3.a.1.1, $\ldots$	$[]$
53550.n3	53550u1	53550.n	53550u	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{8} \cdot 3^{12} \cdot 5^{12} \cdot 7 \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$7140$	$96$	$1$	$1$	$4$	$2$	$1$	$1769472$	$2.517574$	$-644706081631626841/347004000000$	$1.03065$	$5.25853$	$[1, -1, 0, -4049442, -3136914284]$	$y^2+xy=x^3-x^2-4049442x-3136914284$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 15.8.0-3.a.1.1, $\ldots$	$[]$
53550.n4	53550u3	53550.n	53550u	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{24} \cdot 3^{8} \cdot 5^{8} \cdot 7^{3} \cdot 17^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$7140$	$96$	$1$	$1$	$4$	$2$	$1$	$5308416$	$3.066883$	$346124368852751159/6361262220902400$	$1.00679$	$5.51598$	$[1, -1, 0, 3291183, -12746298659]$	$y^2+xy=x^3-x^2+3291183x-12746298659$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 15.8.0-3.a.1.2, $\ldots$	$[]$
53550.o1	53550ba4	53550.o	53550ba	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{6} \cdot 3^{7} \cdot 5^{9} \cdot 7^{6} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$7140$	$96$	$1$	$1.487330909$	$1$		$4$	$2654208$	$2.858353$	$231268521845235080809/816013464000$	$0.99227$	$5.79870$	$[1, -1, 0, -28772667, 59411368741]$	$y^2+xy=x^3-x^2-28772667x+59411368741$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 15.8.0-3.a.1.2, $\ldots$	$[(2774, 29213)]$
53550.o2	53550ba3	53550.o	53550ba	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{12} \cdot 3^{8} \cdot 5^{12} \cdot 7^{3} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$7140$	$96$	$1$	$2.974661818$	$1$		$3$	$1327104$	$2.511780$	$-54082626581000809/3358656000000$	$0.95766$	$5.04020$	$[1, -1, 0, -1772667, 956368741]$	$y^2+xy=x^3-x^2-1772667x+956368741$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 15.8.0-3.a.1.2, $\ldots$	$[(758, 6533)]$
53550.o3	53550ba2	53550.o	53550ba	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{2} \cdot 3^{9} \cdot 5^{7} \cdot 7^{2} \cdot 17^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$7140$	$96$	$1$	$0.495776969$	$1$		$12$	$884736$	$2.309048$	$1119971462469049/638680075740$	$0.99167$	$4.67475$	$[1, -1, 0, -486792, 15908116]$	$y^2+xy=x^3-x^2-486792x+15908116$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 15.8.0-3.a.1.1, $\ldots$	$[(1550, 53846)]$
53550.o4	53550ba1	53550.o	53550ba	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{4} \cdot 3^{12} \cdot 5^{8} \cdot 7 \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$7140$	$96$	$1$	$0.991553939$	$1$		$9$	$442368$	$1.962473$	$17075848639751/10028415600$	$0.96879$	$4.29054$	$[1, -1, 0, 120708, 1935616]$	$y^2+xy=x^3-x^2+120708x+1935616$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 15.8.0-3.a.1.1, $\ldots$	$[(359, 9383)]$
53550.p1	53550bb4	53550.p	53550bb	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{4} \cdot 3^{11} \cdot 5^{10} \cdot 7 \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$1.781072775$	$1$		$4$	$11796480$	$3.352699$	$742525803457216841161/118657634071410000$	$0.99981$	$5.90583$	$[1, -1, 0, -42446817, 90572063341]$	$y^2+xy=x^3-x^2-42446817x+90572063341$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.ba.1, 42.6.0.a.1, $\ldots$	$[(9674, 760163)]$
53550.p2	53550bb2	53550.p	53550bb	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{8} \cdot 3^{16} \cdot 5^{8} \cdot 7^{2} \cdot 17^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$420$	$48$	$0$	$3.562145551$	$1$		$6$	$5898240$	$3.006126$	$16069416876629693641/1546622367494400$	$1.03947$	$5.55379$	$[1, -1, 0, -11828817, -14294586659]$	$y^2+xy=x^3-x^2-11828817x-14294586659$	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 28.12.0-2.a.1.2, 60.24.0-20.a.1.2, $\ldots$	$[(3954, 25223)]$
53550.p3	53550bb1	53550.p	53550bb	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{16} \cdot 3^{11} \cdot 5^{7} \cdot 7 \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$7.124291103$	$1$		$3$	$2949120$	$2.659554$	$14924020698027934921/161083883520$	$1.03701$	$5.54700$	$[1, -1, 0, -11540817, -15087450659]$	$y^2+xy=x^3-x^2-11540817x-15087450659$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.ba.1, 56.12.0-4.c.1.3, $\ldots$	$[(407634, 260045783)]$
53550.p4	53550bb3	53550.p	53550bb	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{4} \cdot 3^{26} \cdot 5^{7} \cdot 7^{4} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$7.124291103$	$1$		$0$	$11796480$	$3.352699$	$27689398696638536759/193555307298039120$	$1.01221$	$5.82465$	$[1, -1, 0, 14181183, -68421396659]$	$y^2+xy=x^3-x^2+14181183x-68421396659$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0.h.1, 56.12.0-4.c.1.3, $\ldots$	$[(11991/2, 243859/2)]$
53550.q1	53550n2	53550.q	53550n	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{3} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$0.483068198$	$1$		$8$	$49152$	$0.812539$	$67468849911/32740232$	$0.92483$	$3.03618$	$[1, -1, 0, -1272, 7336]$	$y^2+xy=x^3-x^2-1272x+7336$	2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 420.6.0.?, 840.12.0.?	$[(3, 58)]$
53550.q2	53550n1	53550.q	53550n	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7 \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$0.966136397$	$1$		$7$	$24576$	$0.465966$	$9952248951/129472$	$0.86883$	$2.86041$	$[1, -1, 0, -672, -6464]$	$y^2+xy=x^3-x^2-672x-6464$	2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 210.6.0.?, 840.12.0.?	$[(-15, 16)]$
53550.r1	53550ce2	53550.r	53550ce	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{10} \cdot 3^{24} \cdot 5^{3} \cdot 7^{4} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$3.624011350$	$1$		$4$	$2580480$	$2.761307$	$42580976430133829141/16192862309901312$	$1.01556$	$5.19985$	$[1, -1, 0, -3273732, 1335805776]$	$y^2+xy=x^3-x^2-3273732x+1335805776$	2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.?	$[(249, 23028)]$
53550.r2	53550ce1	53550.r	53550ce	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{20} \cdot 3^{15} \cdot 5^{3} \cdot 7^{2} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1.812005675$	$1$		$7$	$1290240$	$2.414734$	$322742744589591019/292270598258688$	$1.00189$	$4.75146$	$[1, -1, 0, 643068, 149015376]$	$y^2+xy=x^3-x^2+643068x+149015376$	2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[(-165, 6279)]$
53550.s1	53550bc2	53550.s	53550bc	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{3} \cdot 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.6	2B	$952$	$12$	$0$	$3.522237380$	$1$		$2$	$196608$	$1.514929$	$6141556990297/1019592$	$0.94654$	$4.19662$	$[1, -1, 0, -85842, -9657684]$	$y^2+xy=x^3-x^2-85842x-9657684$	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(339, 168)]$
53550.s2	53550bc1	53550.s	53550bc	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{6} \cdot 3^{10} \cdot 5^{6} \cdot 7 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.1	2B	$952$	$12$	$0$	$1.761118690$	$1$		$7$	$98304$	$1.168354$	$-1102302937/616896$	$0.88613$	$3.46659$	$[1, -1, 0, -4842, -180684]$	$y^2+xy=x^3-x^2-4842x-180684$	2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.?	$[(204, 2598)]$
53550.t1	53550cd1	53550.t	53550cd	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{6} \cdot 3^{11} \cdot 5^{8} \cdot 7 \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1428$	$2$	$0$	$0.780115360$	$1$		$4$	$172800$	$1.509745$	$-417267265/1850688$	$0.87112$	$3.80917$	$[1, -1, 0, -10242, 1176916]$	$y^2+xy=x^3-x^2-10242x+1176916$	1428.2.0.?	$[(44, 878)]$
53550.u1	53550cg2	53550.u	53550cg	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{6} \cdot 3^{12} \cdot 5^{9} \cdot 7^{8} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$0$	$3686400$	$2.879982$	$9759322356711101/4572363442752$	$0.98898$	$5.31701$	$[1, -1, 0, -5008617, -1881401459]$	$y^2+xy=x^3-x^2-5008617x-1881401459$	2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.?	$[]$
53550.u2	53550cg1	53550.u	53550cg	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{12} \cdot 3^{9} \cdot 5^{9} \cdot 7^{4} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$1843200$	$2.533409$	$106624540661059/76738572288$	$1.06789$	$4.90220$	$[1, -1, 0, 1111383, -222881459]$	$y^2+xy=x^3-x^2+1111383x-222881459$	2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[]$
53550.v1	53550cf1	53550.v	53550cf	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2 \cdot 3^{6} \cdot 5^{9} \cdot 7^{4} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$680$	$2$	$0$	$5.221655712$	$1$		$0$	$172800$	$1.394848$	$-83453453/81634$	$0.83352$	$3.70175$	$[1, -1, 0, -10242, -651834]$	$y^2+xy=x^3-x^2-10242x-651834$	680.2.0.?	$[(13921/3, 1617556/3)]$
53550.w1	53550v2	53550.w	53550v	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 7^{3} \cdot 17^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$14280$	$16$	$0$	$1$	$1$		$0$	$82944$	$1.055042$	$-37017366745/121331448$	$0.90857$	$3.31013$	$[1, -1, 0, -1827, 78061]$	$y^2+xy=x^3-x^2-1827x+78061$	3.4.0.a.1, 15.8.0-3.a.1.2, 952.2.0.?, 2856.8.0.?, 14280.16.0.?	$[]$
53550.w2	53550v1	53550.w	53550v	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2 \cdot 3^{12} \cdot 5^{2} \cdot 7 \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$14280$	$16$	$0$	$1$	$1$		$0$	$27648$	$0.505735$	$46969655/173502$	$0.84109$	$2.67798$	$[1, -1, 0, 198, -2534]$	$y^2+xy=x^3-x^2+198x-2534$	3.4.0.a.1, 15.8.0-3.a.1.1, 952.2.0.?, 2856.8.0.?, 14280.16.0.?	$[]$

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Elliptic curves over $\Q$
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