LMFDB - Elliptic curves over $\Q$ of conductor 43350

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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
43350.a1	43350m1	43350.a	43350m	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{15} \cdot 3^{23} \cdot 5^{2} \cdot 17^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$408$	$2$	$0$	$30.23333424$	$1$		$0$	$16692480$	$3.609142$	$-192607474931043120625/52443022624653312$	$1.09001$	$6.30426$	$[1, 1, 0, -101670350, -478531297740]$	$y^2+xy=x^3+x^2-101670350x-478531297740$	408.2.0.?	$[(465284252861281/9557, 10034148253345271802123/9557)]$
43350.b1	43350l1	43350.b	43350l	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{2} \cdot 3^{11} \cdot 5^{10} \cdot 17^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$12$	$2$	$0$	$8.409837055$	$1$		$0$	$617760$	$2.078743$	$52648307940625/708588$	$1.09186$	$4.99720$	$[1, 1, 0, -1103450, -446601000]$	$y^2+xy=x^3+x^2-1103450x-446601000$	12.2.0.a.1	$[(-49244/9, 262592/9)]$
43350.c1	43350w2	43350.c	43350w	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{4} \cdot 3^{2} \cdot 5^{9} \cdot 17^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$0$	$3686400$	$2.870213$	$337575153545189/2448$	$1.21783$	$6.08192$	$[1, 1, 0, -52403075, 145988392125]$	$y^2+xy=x^3+x^2-52403075x+145988392125$	2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.?	$[]$
43350.c2	43350w1	43350.c	43350w	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{8} \cdot 3 \cdot 5^{9} \cdot 17^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$1843200$	$2.523640$	$-82256120549/221952$	$0.95304$	$5.30314$	$[1, 1, 0, -3273075, 2283142125]$	$y^2+xy=x^3+x^2-3273075x+2283142125$	2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[]$
43350.d1	43350x1	43350.d	43350x	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2 \cdot 3^{3} \cdot 5^{8} \cdot 17^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$408$	$2$	$0$	$1$	$1$		$0$	$518400$	$1.741087$	$-121945/918$	$0.85539$	$4.14213$	$[1, 1, 0, -21825, -4654125]$	$y^2+xy=x^3+x^2-21825x-4654125$	408.2.0.?	$[]$
43350.e1	43350n4	43350.e	43350n	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{3} \cdot 3^{2} \cdot 5^{14} \cdot 17^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.11	2B	$680$	$48$	$0$	$12.16409530$	$1$		$0$	$5308416$	$3.021858$	$30949975477232209/478125000$	$1.00249$	$6.05289$	$[1, 1, 0, -47258875, -125064996875]$	$y^2+xy=x^3+x^2-47258875x-125064996875$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 40.24.0-8.m.1.6, $\ldots$	$[(-1437099/19, 11464117/19)]$
43350.e2	43350n2	43350.e	43350n	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{6} \cdot 3^{4} \cdot 5^{10} \cdot 17^{8} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$680$	$48$	$0$	$6.082047653$	$1$		$6$	$2654208$	$2.675285$	$8253429989329/936360000$	$0.96220$	$5.28212$	$[1, 1, 0, -3041875, -1832217875]$	$y^2+xy=x^3+x^2-3041875x-1832217875$	2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.3, 68.12.0.b.1, $\ldots$	$[(-1259, 2596)]$
43350.e3	43350n1	43350.e	43350n	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 17^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.11	2B	$680$	$48$	$0$	$3.041023826$	$1$		$7$	$1327104$	$2.328712$	$114013572049/15667200$	$0.93207$	$4.88107$	$[1, 1, 0, -729875, 209278125]$	$y^2+xy=x^3+x^2-729875x+209278125$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.2, 34.6.0.a.1, $\ldots$	$[(341, 263)]$
43350.e4	43350n3	43350.e	43350n	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{3} \cdot 3^{8} \cdot 5^{8} \cdot 17^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.16	2B	$680$	$48$	$0$	$12.16409530$	$1$		$0$	$5308416$	$3.021858$	$21464092074671/109596256200$	$1.00093$	$5.56430$	$[1, 1, 0, 4183125, -9208942875]$	$y^2+xy=x^3+x^2+4183125x-9208942875$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 40.24.0-8.d.1.3, 136.24.0.?, $\ldots$	$[(778989/23, 138515532/23)]$
43350.f1	43350p1	43350.f	43350p	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{2} \cdot 3 \cdot 5^{6} \cdot 17^{4} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$0.449982094$	$1$		$14$	$40320$	$0.636311$	$-289/12$	$1.03664$	$2.89808$	$[1, 1, 0, -150, 6000]$	$y^2+xy=x^3+x^2-150x+6000$	6.2.0.a.1	$[(35, 195), (-16, 76)]$
43350.g1	43350j1	43350.g	43350j	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2 \cdot 3^{3} \cdot 5^{2} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$408$	$2$	$0$	$0.593741353$	$1$		$4$	$9216$	$0.023319$	$253265/54$	$0.86284$	$2.26286$	$[1, 1, 0, -65, 135]$	$y^2+xy=x^3+x^2-65x+135$	408.2.0.?	$[(1, 8)]$
43350.h1	43350o1	43350.h	43350o	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{11} \cdot 3^{2} \cdot 5^{11} \cdot 17^{8} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$40$	$2$	$0$	$2.161311286$	$1$		$12$	$3231360$	$2.861588$	$34822511/57600000$	$1.06670$	$5.39903$	$[1, 1, 0, 324975, 3811663125]$	$y^2+xy=x^3+x^2+324975x+3811663125$	40.2.0.a.1	$[(1565, 89530), (13125, 1499850)]$
43350.i1	43350k2	43350.i	43350k	$2$	$5$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{7} \cdot 3^{5} \cdot 5^{10} \cdot 17^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.6.0.1	5B	$2040$	$48$	$1$	$75.42572393$	$1$		$0$	$45696000$	$4.008232$	$15773608170290225/31104$	$1.07096$	$7.38878$	$[1, 1, 0, -5486759075, -156432971797875]$	$y^2+xy=x^3+x^2-5486759075x-156432971797875$	5.6.0.a.1, 85.24.0.?, 120.12.0.?, 408.2.0.?, 2040.48.1.?	$[(-2816713229312396555136958168858358801/8115689464722793, 11224101550011566640692325568285882668896552937138857/8115689464722793)]$
43350.i2	43350k1	43350.i	43350k	$2$	$5$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{35} \cdot 3 \cdot 5^{2} \cdot 17^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.6.0.1	5B	$2040$	$48$	$1$	$15.08514478$	$1$		$0$	$9139200$	$3.203514$	$247336189744145/103079215104$	$1.06011$	$5.79369$	$[1, 1, 0, -18786595, 16571903245]$	$y^2+xy=x^3+x^2-18786595x+16571903245$	5.6.0.a.1, 85.24.0.?, 120.12.0.?, 408.2.0.?, 2040.48.1.?	$[(-2837649/233, 1676247272617/233)]$
43350.j1	43350d1	43350.j	43350d	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{3} \cdot 3^{10} \cdot 5^{7} \cdot 17^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$40$	$2$	$0$	$8.634041160$	$1$		$0$	$570240$	$1.985100$	$-56136684668636449/2361960$	$1.03040$	$5.04723$	$[1, 1, 0, -1318500, -583281000]$	$y^2+xy=x^3+x^2-1318500x-583281000$	40.2.0.a.1	$[(71019/5, 16872912/5)]$
43350.k1	43350c1	43350.k	43350c	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{7} \cdot 3 \cdot 5^{2} \cdot 17^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$408$	$2$	$0$	$2.651955302$	$1$		$0$	$96768$	$1.137367$	$38226865/6528$	$0.86981$	$3.52880$	$[1, 1, 0, -5930, -150060]$	$y^2+xy=x^3+x^2-5930x-150060$	408.2.0.?	$[(-149/2, 1305/2)]$
43350.l1	43350t1	43350.l	43350t	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{9} \cdot 3^{13} \cdot 5^{8} \cdot 17^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$408$	$2$	$0$	$1$	$1$		$0$	$898560$	$2.227993$	$8259098703305/816293376$	$1.02655$	$4.78760$	$[1, 1, 0, -523325, 132472125]$	$y^2+xy=x^3+x^2-523325x+132472125$	408.2.0.?	$[]$
43350.m1	43350u1	43350.m	43350u	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{7} \cdot 3^{2} \cdot 5^{9} \cdot 17^{10} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$40$	$2$	$0$	$1$	$4$	$2$	$0$	$3769920$	$2.844971$	$1982251/1152$	$1.12500$	$5.36822$	$[1, 1, 0, 4132550, 212276500]$	$y^2+xy=x^3+x^2+4132550x+212276500$	40.2.0.a.1	$[]$
43350.n1	43350e1	43350.n	43350e	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{10} \cdot 3 \cdot 5^{8} \cdot 17^{10} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$7.579741378$	$1$		$2$	$6462720$	$3.189629$	$-2048707405729/76800$	$1.12780$	$6.21304$	$[1, 1, 0, -83564500, 293997394000]$	$y^2+xy=x^3+x^2-83564500x+293997394000$	6.2.0.a.1	$[(-4536, 763676)]$
43350.o1	43350a2	43350.o	43350a	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{5} \cdot 3^{10} \cdot 5^{8} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1.580618283$	$1$		$6$	$307200$	$1.712025$	$339630096833/47239200$	$0.99048$	$4.18724$	$[1, 1, 0, -61775, 5125125]$	$y^2+xy=x^3+x^2-61775x+5125125$	2.3.0.a.1, 120.6.0.?, 136.6.0.?, 1020.6.0.?, 2040.12.0.?	$[(205, 960)]$
43350.o2	43350a1	43350.o	43350a	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{10} \cdot 3^{5} \cdot 5^{7} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2040$	$12$	$0$	$3.161236567$	$1$		$5$	$153600$	$1.365450$	$347428927/1244160$	$0.97546$	$3.69659$	$[1, 1, 0, 6225, 433125]$	$y^2+xy=x^3+x^2+6225x+433125$	2.3.0.a.1, 120.6.0.?, 136.6.0.?, 510.6.0.?, 2040.12.0.?	$[(-25, 525)]$
43350.p1	43350b8	43350.p	43350b	$8$	$16$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2 \cdot 3^{16} \cdot 5^{10} \cdot 17^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.97	2B	$8160$	$768$	$13$	$29.66514634$	$1$		$0$	$14155776$	$3.708065$	$161572377633716256481/914742821250$	$1.03379$	$6.85464$	$[1, 1, 0, -819820900, -9035264854250]$	$y^2+xy=x^3+x^2-819820900x-9035264854250$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.x.1, 40.48.0-8.bb.1.6, $\ldots$	$[(456589664539495/108129, 5414016215488612957735/108129)]$
43350.p2	43350b4	43350.p	43350b	$8$	$16$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{4} \cdot 3 \cdot 5^{7} \cdot 17^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.48.0.8	2B	$8160$	$768$	$13$	$7.416286587$	$1$		$2$	$3538944$	$3.014919$	$1139466686381936641/4080$	$1.01700$	$6.39062$	$[1, 1, 0, -157216150, 758676014500]$	$y^2+xy=x^3+x^2-157216150x+758676014500$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.g.1, $\ldots$	$[(33321, 5685743)]$
43350.p3	43350b6	43350.p	43350b	$8$	$16$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{2} \cdot 3^{8} \cdot 5^{14} \cdot 17^{8} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.91	2Cs	$4080$	$768$	$13$	$14.83257317$	$1$		$2$	$7077888$	$3.361492$	$41623544884956481/2962701562500$	$1.00549$	$6.08064$	$[1, 1, 0, -52164650, -135825948000]$	$y^2+xy=x^3+x^2-52164650x-135825948000$	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 40.96.0-8.k.2.6, 48.96.0-8.k.2.4, $\ldots$	$[(-23427841/73, 36847962362/73)]$
43350.p4	43350b3	43350.p	43350b	$8$	$16$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{4} \cdot 3^{4} \cdot 5^{10} \cdot 17^{10} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.50	2Cs	$4080$	$768$	$13$	$7.416286587$	$1$		$4$	$3538944$	$3.014919$	$330240275458561/67652010000$	$1.06774$	$5.62765$	$[1, 1, 0, -10404150, 10377562500]$	$y^2+xy=x^3+x^2-10404150x+10377562500$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 24.96.0-8.b.1.12, 40.96.0-8.b.1.6, $\ldots$	$[(-2829, 132486)]$
43350.p5	43350b2	43350.p	43350b	$8$	$16$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{8} \cdot 3^{2} \cdot 5^{8} \cdot 17^{8} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.6	2Cs	$4080$	$768$	$13$	$3.708143293$	$1$		$8$	$1769472$	$2.668346$	$278202094583041/16646400$	$0.97964$	$5.61159$	$[1, 1, 0, -9826150, 11850884500]$	$y^2+xy=x^3+x^2-9826150x+11850884500$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 12.24.0-4.b.1.2, 16.48.0.d.1, $\ldots$	$[(1795, -185)]$
43350.p6	43350b1	43350.p	43350b	$8$	$16$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{16} \cdot 3 \cdot 5^{7} \cdot 17^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.48.0.8	2B	$8160$	$768$	$13$	$7.416286587$	$1$		$3$	$884736$	$2.321770$	$-56667352321/16711680$	$1.00176$	$4.85416$	$[1, 1, 0, -578150, 207652500]$	$y^2+xy=x^3+x^2-578150x+207652500$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.g.1, $\ldots$	$[(8125, 725300)]$
43350.p7	43350b5	43350.p	43350b	$8$	$16$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 17^{14} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.199	2B	$8160$	$768$	$13$	$3.708143293$	$1$		$2$	$7077888$	$3.361492$	$3168685387909439/6278181696900$	$1.01379$	$5.92235$	$[1, 1, 0, 22108350, 62300025000]$	$y^2+xy=x^3+x^2+22108350x+62300025000$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 48.96.0-8.n.1.5, 60.24.0.h.1, $\ldots$	$[(7090, 755080)]$
43350.p8	43350b7	43350.p	43350b	$8$	$16$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2 \cdot 3^{4} \cdot 5^{22} \cdot 17^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.144	2B	$8160$	$768$	$13$	$29.66514634$	$1$		$0$	$14155776$	$3.708065$	$31077313442863199/420227050781250$	$1.04291$	$6.34432$	$[1, 1, 0, 47323600, -592576503750]$	$y^2+xy=x^3+x^2+47323600x-592576503750$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.1, 16.48.0.u.1, 40.48.0-8.ba.1.6, $\ldots$	$[(5255463830769/19783, 12102890274318559332/19783)]$
43350.q1	43350s2	43350.q	43350s	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{51} \cdot 3^{7} \cdot 5^{8} \cdot 17^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$408$	$16$	$0$	$1$	$1$		$0$	$370137600$	$5.348907$	$873851835888094527083289145/83719665273003835392$	$1.08087$	$8.60815$	$[1, 1, 0, -420780770575, -105050158804422875]$	$y^2+xy=x^3+x^2-420780770575x-105050158804422875$	3.4.0.a.1, 24.8.0-3.a.1.8, 51.8.0-3.a.1.1, 408.16.0.?	$[]$
43350.q2	43350s1	43350.q	43350s	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{17} \cdot 3^{21} \cdot 5^{8} \cdot 17^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$408$	$16$	$0$	$1$	$1$		$0$	$123379200$	$4.799599$	$16206164115169540524745/6736014906011025408$	$1.07254$	$7.58771$	$[1, 1, 0, -11137901200, 240153162784000]$	$y^2+xy=x^3+x^2-11137901200x+240153162784000$	3.4.0.a.1, 24.8.0-3.a.1.7, 51.8.0-3.a.1.2, 408.16.0.?	$[]$
43350.r1	43350r2	43350.r	43350r	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{15} \cdot 3 \cdot 5^{8} \cdot 17^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$408$	$16$	$0$	$1$	$1$		$0$	$3110400$	$2.855587$	$1289333385625/482967552$	$1.04029$	$5.40972$	$[1, 1, 0, -4790325, -2398657875]$	$y^2+xy=x^3+x^2-4790325x-2398657875$	3.4.0.a.1, 24.8.0-3.a.1.8, 51.8.0-3.a.1.1, 408.16.0.?	$[]$
43350.r2	43350r1	43350.r	43350r	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{5} \cdot 3^{3} \cdot 5^{8} \cdot 17^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$408$	$16$	$0$	$1$	$1$		$0$	$1036800$	$2.306282$	$105695235625/14688$	$1.21157$	$5.17545$	$[1, 1, 0, -2080950, 1154416500]$	$y^2+xy=x^3+x^2-2080950x+1154416500$	3.4.0.a.1, 24.8.0-3.a.1.7, 51.8.0-3.a.1.2, 408.16.0.?	$[]$
43350.s1	43350y1	43350.s	43350y	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{12} \cdot 3 \cdot 5^{4} \cdot 17^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$12$	$2$	$0$	$2.383432236$	$1$		$2$	$616896$	$2.001419$	$613231225/12288$	$0.96073$	$4.62091$	$[1, 1, 0, -289150, -58921100]$	$y^2+xy=x^3+x^2-289150x-58921100$	12.2.0.a.1	$[(-340, 650)]$
43350.t1	43350g2	43350.t	43350g	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2 \cdot 3^{10} \cdot 5^{8} \cdot 17^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2040$	$12$	$0$	$2.256436820$	$1$		$0$	$1105920$	$2.429878$	$420021471169/50191650$	$0.94166$	$5.00320$	$[1, 1, 0, -1127250, 409880250]$	$y^2+xy=x^3+x^2-1127250x+409880250$	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(3455/2, 68795/2)]$
43350.t2	43350g1	43350.t	43350g	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{2} \cdot 3^{5} \cdot 5^{7} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2040$	$12$	$0$	$4.512873641$	$1$		$3$	$552960$	$2.083302$	$302111711/1404540$	$0.92029$	$4.50807$	$[1, 1, 0, 101000, 32807500]$	$y^2+xy=x^3+x^2+101000x+32807500$	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(1956, 86878)]$
43350.u1	43350f2	43350.u	43350f	$2$	$5$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{3} \cdot 3^{5} \cdot 5^{10} \cdot 17^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.6.0.1	5B	$2040$	$48$	$1$	$43.40786147$	$1$		$0$	$2448000$	$2.834759$	$-17624225/1944$	$0.95056$	$5.47459$	$[1, 1, 0, -5693450, -5707888500]$	$y^2+xy=x^3+x^2-5693450x-5707888500$	5.6.0.a.1, 85.24.0.?, 120.12.0.?, 408.2.0.?, 2040.48.1.?	$[(478890007515744569929/117691309, 10426112460013318783776702492935/117691309)]$
43350.u2	43350f1	43350.u	43350f	$2$	$5$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{15} \cdot 3 \cdot 5^{2} \cdot 17^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.6.0.1	5B	$2040$	$48$	$1$	$8.681572295$	$1$		$0$	$489600$	$2.030037$	$6655/98304$	$1.13538$	$4.46455$	$[1, 1, 0, 5630, 25975540]$	$y^2+xy=x^3+x^2+5630x+25975540$	5.6.0.a.1, 85.24.0.?, 120.12.0.?, 408.2.0.?, 2040.48.1.?	$[(-173919/29, 100140679/29)]$
43350.v1	43350h1	43350.v	43350h	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{14} \cdot 3^{11} \cdot 5^{8} \cdot 17^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$4.456298182$	$1$		$2$	$532224$	$2.041481$	$4589352212399/72559411200$	$1.03977$	$4.47203$	$[1, 1, 0, 57225, 27055125]$	$y^2+xy=x^3+x^2+57225x+27055125$	6.2.0.a.1	$[(734, 21201)]$
43350.w1	43350i1	43350.w	43350i	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2 \cdot 3 \cdot 5^{10} \cdot 17^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$408$	$2$	$0$	$4.283315562$	$1$		$0$	$483840$	$1.852148$	$390625/102$	$1.04069$	$4.30541$	$[1, 1, 0, -94075, -8266625]$	$y^2+xy=x^3+x^2-94075x-8266625$	408.2.0.?	$[(-1589/3, 48190/3)]$
43350.x1	43350v2	43350.x	43350v	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{6} \cdot 3 \cdot 5^{8} \cdot 17^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$204$	$16$	$0$	$1$	$1$		$0$	$116640$	$1.174126$	$33475791145/192$	$0.97136$	$4.00635$	$[1, 1, 0, -32450, -2263500]$	$y^2+xy=x^3+x^2-32450x-2263500$	3.4.0.a.1, 12.8.0.b.1, 51.8.0-3.a.1.1, 204.16.0.?	$[]$
43350.x2	43350v1	43350.x	43350v	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{2} \cdot 3^{3} \cdot 5^{8} \cdot 17^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$204$	$16$	$0$	$1$	$1$		$0$	$38880$	$0.624820$	$186745/108$	$1.08397$	$2.87340$	$[1, 1, 0, -575, -375]$	$y^2+xy=x^3+x^2-575x-375$	3.4.0.a.1, 12.8.0.b.1, 51.8.0-3.a.1.2, 204.16.0.?	$[]$
43350.y1	43350q2	43350.y	43350q	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{3} \cdot 3^{3} \cdot 5^{6} \cdot 17^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	9.36.0.9	3B	$360$	$144$	$2$	$1$	$49$	$7$	$0$	$12492144$	$3.423870$	$-843137281012581793/216$	$1.08401$	$6.89312$	$[1, 1, 0, -940146050, -11095744180500]$	$y^2+xy=x^3+x^2-940146050x-11095744180500$	3.4.0.a.1, 9.36.0.f.1, 15.8.0-3.a.1.1, 24.8.0.d.1, 45.72.0-9.f.1.2, $\ldots$	$[]$
43350.y2	43350q1	43350.y	43350q	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{9} \cdot 3^{9} \cdot 5^{6} \cdot 17^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	9.36.0.7	3B	$360$	$144$	$2$	$1$	$49$	$7$	$0$	$4164048$	$2.874565$	$-1579268174113/10077696$	$1.03714$	$5.65898$	$[1, 1, 0, -11589050, -15273499500]$	$y^2+xy=x^3+x^2-11589050x-15273499500$	3.4.0.a.1, 9.36.0.f.2, 15.8.0-3.a.1.2, 24.8.0.d.1, 45.72.0-9.f.2.2, $\ldots$	$[]$
43350.z1	43350bt1	43350.z	43350bt	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{3} \cdot 3^{5} \cdot 5^{8} \cdot 17^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$408$	$2$	$0$	$1.829865299$	$1$		$4$	$1036800$	$2.095028$	$352224985/33048$	$0.89416$	$4.64122$	$[1, 0, 1, -310826, -61079452]$	$y^2+xy+y=x^3-310826x-61079452$	408.2.0.?	$[(-384, 1492)]$
43350.ba1	43350bj2	43350.ba	43350bj	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{3} \cdot 3^{3} \cdot 5^{6} \cdot 17^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	9.36.0.9	3B	$6120$	$144$	$2$	$1$	$9$	$3$	$0$	$734832$	$2.007263$	$-843137281012581793/216$	$1.08401$	$5.30099$	$[1, 0, 1, -3253101, -2258637152]$	$y^2+xy+y=x^3-3253101x-2258637152$	3.4.0.a.1, 9.36.0.f.1, 24.8.0.d.1, 72.72.2.?, 255.8.0.?, $\ldots$	$[]$
43350.ba2	43350bj1	43350.ba	43350bj	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{9} \cdot 3^{9} \cdot 5^{6} \cdot 17^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	9.36.0.7	3B	$6120$	$144$	$2$	$1$	$1$		$0$	$244944$	$1.457958$	$-1579268174113/10077696$	$1.03714$	$4.06685$	$[1, 0, 1, -40101, -3111152]$	$y^2+xy+y=x^3-40101x-3111152$	3.4.0.a.1, 9.36.0.f.2, 24.8.0.d.1, 72.72.2.?, 255.8.0.?, $\ldots$	$[]$
43350.bb1	43350bv2	43350.bb	43350bv	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{6} \cdot 3 \cdot 5^{8} \cdot 17^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.8.0.2	3B.1.2	$12$	$16$	$0$	$1$	$9$	$3$	$0$	$1982880$	$2.590733$	$33475791145/192$	$0.97136$	$5.59848$	$[1, 0, 1, -9378201, -11054928452]$	$y^2+xy+y=x^3-9378201x-11054928452$	3.8.0-3.a.1.1, 12.16.0-12.b.1.2	$[]$
43350.bb2	43350bv1	43350.bb	43350bv	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ 2^{2} \cdot 3^{3} \cdot 5^{8} \cdot 17^{8} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	$3$	3.8.0.1	3B.1.1	$12$	$16$	$0$	$1$	$1$		$2$	$660960$	$2.041428$	$186745/108$	$1.08397$	$4.46553$	$[1, 0, 1, -166326, -678452]$	$y^2+xy+y=x^3-166326x-678452$	3.8.0-3.a.1.2, 12.16.0-12.b.1.4	$[]$
43350.bc1	43350bm1	43350.bc	43350bm	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{14} \cdot 3^{11} \cdot 5^{8} \cdot 17^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$0.556226879$	$1$		$8$	$9047808$	$3.458088$	$4589352212399/72559411200$	$1.03977$	$6.06416$	$[1, 0, 1, 16537874, 132806063648]$	$y^2+xy+y=x^3+16537874x+132806063648$	6.2.0.a.1	$[(3781, 497501)]$

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