Elliptic curves over Q\Q of conductor 17328

Results (1-50 of 60 matches)

  Download displayed columns for results to

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	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
17328.a1	17328y1	17328.a	17328y	$1$	$1$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{16} \cdot 3^{9} \cdot 19^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.818114027$	$1$		$2$	$31104$	$0.924207$	$205083359/314928$	$1.00799$	$3.46805$	$[0, -1, 0, 1400, -26384]$	$y^2=x^3-x^2+1400x-26384$	6.2.0.a.1	$[(20, 96)]$
17328.b1	17328w1	17328.b	17328w	$1$	$1$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{8} \cdot 3^{2} \cdot 19^{7}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$0.347706548$	$1$		$4$	$34560$	$1.043114$	$8192/171$	$0.94370$	$3.66596$	$[0, -1, 0, 963, 67761]$	$y^2=x^3-x^2+963x+67761$	38.2.0.a.1	$[(165, 2166)]$
17328.c1	17328x1	17328.c	17328x	$1$	$1$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{12} \cdot 3^{2} \cdot 19^{7}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1.520816842$	$1$		$2$	$57600$	$1.328817$	$-1404928/171$	$0.86512$	$4.13222$	$[0, -1, 0, -13477, 667021]$	$y^2=x^3-x^2-13477x+667021$	38.2.0.a.1	$[(-44, 1083)]$
17328.d1	17328f5	17328.d	17328f	$6$	$8$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{11} \cdot 3^{2} \cdot 19^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.210	2B	$912$	$192$	$1$	$1$	$1$		$1$	$55296$	$1.520014$	$3065617154/9$	$1.21059$	$4.82934$	$[0, -1, 0, -138744, -19845360]$	$y^2=x^3-x^2-138744x-19845360$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.1, 24.48.0.bf.1, $\ldots$	$[]$
17328.d2	17328f4	17328.d	17328f	$6$	$8$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{10} \cdot 3 \cdot 19^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.127	2B	$912$	$192$	$1$	$1$	$1$		$1$	$27648$	$1.173441$	$28756228/3$	$1.05617$	$4.27993$	$[0, -1, 0, -23224, 1369888]$	$y^2=x^3-x^2-23224x+1369888$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0.h.1, 16.48.0.bb.2, $\ldots$	$[]$
17328.d3	17328f3	17328.d	17328f	$6$	$8$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{10} \cdot 3^{4} \cdot 19^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.88	2Cs	$456$	$192$	$1$	$1$	$1$		$3$	$27648$	$1.173441$	$1556068/81$	$1.03212$	$3.98109$	$[0, -1, 0, -8784, -299376]$	$y^2=x^3-x^2-8784x-299376$	2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 76.24.0.?, $\ldots$	$[]$
17328.d4	17328f2	17328.d	17328f	$6$	$8$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{8} \cdot 3^{2} \cdot 19^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.138	2Cs	$456$	$192$	$1$	$1$	$1$		$3$	$13824$	$0.826867$	$35152/9$	$0.97255$	$3.45071$	$[0, -1, 0, -1564, 18304]$	$y^2=x^3-x^2-1564x+18304$	2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.1, 12.24.0.c.1, 24.96.1.bu.1, $\ldots$	$[]$
17328.d5	17328f1	17328.d	17328f	$6$	$8$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{4} \cdot 3 \cdot 19^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.150	2B	$912$	$192$	$1$	$1$	$1$		$1$	$6912$	$0.480294$	$2048/3$	$1.17572$	$2.91903$	$[0, -1, 0, 241, 1698]$	$y^2=x^3-x^2+241x+1698$	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.ba.1, 12.12.0.g.1, $\ldots$	$[]$
17328.d6	17328f6	17328.d	17328f	$6$	$8$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{11} \cdot 3^{8} \cdot 19^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.218	2B	$912$	$192$	$1$	$1$	$1$		$1$	$55296$	$1.520014$	$207646/6561$	$1.15980$	$4.25369$	$[0, -1, 0, 5656, -1200432]$	$y^2=x^3-x^2+5656x-1200432$	2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.1, 48.96.1.w.2, 76.12.0.?, $\ldots$	$[]$
17328.e1	17328c2	17328.e	17328c	$2$	$2$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{10} \cdot 3^{2} \cdot 19^{9}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$4.359760088$	$1$		$3$	$121600$	$1.799314$	$1203052/9$	$1.19561$	$4.85978$	$[0, -1, 0, -153184, 22977904]$	$y^2=x^3-x^2-153184x+22977904$	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(94, 3066)]$
17328.e2	17328c1	17328.e	17328c	$2$	$2$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{8} \cdot 3 \cdot 19^{9}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$8.719520176$	$1$		$1$	$60800$	$1.452740$	$5488/3$	$0.87364$	$4.16548$	$[0, -1, 0, -16004, -178080]$	$y^2=x^3-x^2-16004x-178080$	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[(-551/7, 6278/7)]$
17328.f1	17328g1	17328.f	17328g	$1$	$1$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{8} \cdot 3^{5} \cdot 19^{2}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.5.0.1	5S4	$30$	$10$	$0$	$1$	$1$		$0$	$5760$	$0.098933$	$-104272/243$	$0.87512$	$2.52084$	$[0, -1, 0, -44, -240]$	$y^2=x^3-x^2-44x-240$	5.5.0.a.1, 6.2.0.a.1, 30.10.0.a.1	$[]$
17328.g1	17328p1	17328.g	17328p	$1$	$1$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{8} \cdot 3^{4} \cdot 19^{3}$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$76$	$8$	$0$	$0.433598740$	$1$		$12$	$3840$	$0.257912$	$-65536/81$	$1.10590$	$2.72659$	$[0, -1, 0, -101, 729]$	$y^2=x^3-x^2-101x+729$	4.4.0.a.1, 38.2.0.a.1, 76.8.0.?	$[(13, 38), (5, 18)]$
17328.h1	17328t1	17328.h	17328t	$2$	$2$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{14} \cdot 3^{5} \cdot 19^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$4.195733449$	$1$		$3$	$172800$	$1.984676$	$96386901625/18468$	$0.97983$	$5.25365$	$[0, -1, 0, -551728, -157527872]$	$y^2=x^3-x^2-551728x-157527872$	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[(14472, 1738576)]$
17328.h2	17328t2	17328.h	17328t	$2$	$2$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{13} \cdot 3^{10} \cdot 19^{8}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$456$	$12$	$0$	$8.391466898$	$1$		$1$	$345600$	$2.331249$	$-69173457625/42633378$	$0.99175$	$5.29395$	$[0, -1, 0, -493968, -191860416]$	$y^2=x^3-x^2-493968x-191860416$	2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.?	$[(709090/7, 596362614/7)]$
17328.i1	17328a1	17328.i	17328a	$1$	$1$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{4} \cdot 3^{3} \cdot 19^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$4.683793593$	$1$		$2$	$32832$	$1.311680$	$-4864000/27$	$0.93971$	$4.27609$	$[0, -1, 0, -22863, 1344618]$	$y^2=x^3-x^2-22863x+1344618$	6.2.0.a.1	$[(134, 818)]$
17328.j1	17328s2	17328.j	17328s	$2$	$7$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{12} \cdot 3^{7} \cdot 19^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$1596$	$96$	$2$	$3.966189854$	$1$		$2$	$16128$	$0.934402$	$-89289015625/2187$	$1.08884$	$4.03909$	$[0, -1, 0, -10608, -417024]$	$y^2=x^3-x^2-10608x-417024$	6.2.0.a.1, 7.8.0.a.1, 42.16.0.a.1, 133.24.0.?, 532.48.0.?, $\ldots$	$[(152, 1208)]$
17328.j2	17328s1	17328.j	17328s	$2$	$7$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{12} \cdot 3 \cdot 19^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$1596$	$96$	$2$	$0.566598550$	$1$		$4$	$2304$	$-0.038554$	$2375/3$	$0.82914$	$2.26916$	$[0, -1, 0, 32, 64]$	$y^2=x^3-x^2+32x+64$	6.2.0.a.1, 7.8.0.a.1, 42.16.0.a.1, 133.24.0.?, 532.48.0.?, $\ldots$	$[(0, 8)]$
17328.k1	17328r1	17328.k	17328r	$1$	$1$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{20} \cdot 3^{5} \cdot 19^{10}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$7.262921894$	$1$		$2$	$656640$	$2.823822$	$-1100553625/62208$	$1.03685$	$6.01168$	$[0, -1, 0, -6298848, 6377045760]$	$y^2=x^3-x^2-6298848x+6377045760$	6.2.0.a.1	$[(22544, 3364736)]$
17328.l1	17328e1	17328.l	17328e	$1$	$1$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{8} \cdot 3^{2} \cdot 19^{9}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$1$		$0$	$69120$	$1.541025$	$70575104/61731$	$0.95058$	$4.22988$	$[0, -1, 0, 19735, 756549]$	$y^2=x^3-x^2+19735x+756549$	38.2.0.a.1	$[]$
17328.m1	17328q2	17328.m	17328q	$2$	$2$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{16} \cdot 3^{14} \cdot 19^{9}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$9$	$3$	$1$	$2042880$	$3.118839$	$248028267187/76527504$	$1.06020$	$6.25554$	$[0, -1, 0, -14365032, 14323060080]$	$y^2=x^3-x^2-14365032x+14323060080$	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
17328.m2	17328q1	17328.m	17328q	$2$	$2$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{20} \cdot 3^{7} \cdot 19^{9}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$9$	$3$	$1$	$1021440$	$2.772266$	$14580432307/559872$	$1.02951$	$5.96518$	$[0, -1, 0, -5585512, -4907600528]$	$y^2=x^3-x^2-5585512x-4907600528$	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[]$
17328.n1	17328u2	17328.n	17328u	$2$	$2$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{8} \cdot 3^{6} \cdot 19^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$4.163568094$	$1$		$1$	$51840$	$1.494776$	$340062928/13851$	$0.89938$	$4.39099$	$[0, -1, 0, -33332, 2269500]$	$y^2=x^3-x^2-33332x+2269500$	2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 228.12.0.?	$[(13181/2, 1510785/2)]$
17328.n2	17328u1	17328.n	17328u	$2$	$2$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{4} \cdot 3^{3} \cdot 19^{8}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$8.327136189$	$1$		$1$	$25920$	$1.148201$	$131072/9747$	$1.13743$	$3.79821$	$[0, -1, 0, 963, 129492]$	$y^2=x^3-x^2+963x+129492$	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(-34684/31, 6418580/31)]$
17328.o1	17328v3	17328.o	17328v	$4$	$4$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{17} \cdot 3^{3} \cdot 19^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$456$	$48$	$0$	$78.49149013$	$1$		$1$	$2073600$	$3.266808$	$74220219816682217473/16416$	$1.10905$	$7.35014$	$[0, -1, 0, -505700472, -4376948403600]$	$y^2=x^3-x^2-505700472x-4376948403600$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.2, 24.24.0-8.m.1.1, $\ldots$	$[(315160151366864644209233534289236194/3406359259652775, 54834231450575148095476362561651647559416643323579378/3406359259652775)]$
17328.o2	17328v2	17328.o	17328v	$4$	$4$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{22} \cdot 3^{6} \cdot 19^{8}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$456$	$48$	$0$	$39.24574506$	$1$		$3$	$1036800$	$2.920231$	$18120364883707393/269485056$	$1.09068$	$6.49792$	$[0, -1, 0, -31606392, -68381404560]$	$y^2=x^3-x^2-31606392x-68381404560$	2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.3, 76.12.0.?, $\ldots$	$[(-1671490029055814966/22688291, 10786173557606052903245850/22688291)]$
17328.o3	17328v4	17328.o	17328v	$4$	$4$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{17} \cdot 3^{12} \cdot 19^{10}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$456$	$48$	$0$	$19.62287253$	$1$		$1$	$2073600$	$3.266808$	$-16576888679672833/2216253521952$	$1.04427$	$6.51009$	$[0, -1, 0, -30682232, -72568958352]$	$y^2=x^3-x^2-30682232x-72568958352$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.3, 76.12.0.?, $\ldots$	$[(1074572953084/4575, 1107105849160963552/4575)]$
17328.o4	17328v1	17328.o	17328v	$4$	$4$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{32} \cdot 3^{3} \cdot 19^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$456$	$48$	$0$	$19.62287253$	$1$		$1$	$518400$	$2.573658$	$4824238966273/537919488$	$1.00823$	$5.65457$	$[0, -1, 0, -2033272, -1002007952]$	$y^2=x^3-x^2-2033272x-1002007952$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.1, 24.24.0-8.m.1.3, $\ldots$	$[(-11642701446/3457, 301519895554862/3457)]$
17328.p1	17328b1	17328.p	17328b	$1$	$1$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{4} \cdot 3^{3} \cdot 19^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$4.481957344$	$1$		$0$	$32832$	$1.157221$	$38912/27$	$0.92397$	$3.78042$	$[0, -1, 0, 4573, -54618]$	$y^2=x^3-x^2+4573x-54618$	6.2.0.a.1	$[(2062/7, 157396/7)]$
17328.q1	17328d1	17328.q	17328d	$1$	$1$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{8} \cdot 3^{16} \cdot 19^{3}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$76$	$8$	$0$	$5.012179859$	$1$		$0$	$51200$	$1.345346$	$-4434684928/43046721$	$1.11199$	$4.04391$	$[0, -1, 0, -4129, -429203]$	$y^2=x^3-x^2-4129x-429203$	4.4.0.a.1, 38.2.0.a.1, 76.8.0.?	$[(47869/10, 10346697/10)]$
17328.r1	17328h1	17328.r	17328h	$2$	$2$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{10} \cdot 3 \cdot 19^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$1$	$1$		$1$	$57600$	$1.117296$	$470596/57$	$0.94139$	$3.85856$	$[0, -1, 0, -5896, 156928]$	$y^2=x^3-x^2-5896x+156928$	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[]$
17328.r2	17328h2	17328.r	17328h	$2$	$2$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{11} \cdot 3^{2} \cdot 19^{8}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$456$	$12$	$0$	$1$	$1$		$1$	$115200$	$1.463869$	$715822/3249$	$0.90786$	$4.16961$	$[0, -1, 0, 8544, 792288]$	$y^2=x^3-x^2+8544x+792288$	2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.?	$[]$
17328.s1	17328bd1	17328.s	17328bd	$1$	$1$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{16} \cdot 3^{9} \cdot 19^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.288246821$	$1$		$6$	$590976$	$2.396427$	$205083359/314928$	$1.00799$	$5.27815$	$[0, 1, 0, 505280, 177935924]$	$y^2=x^3+x^2+505280x+177935924$	6.2.0.a.1	$[(842, 34656)]$
17328.t1	17328o1	17328.t	17328o	$1$	$1$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{8} \cdot 3^{6} \cdot 19^{7}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$0.424534891$	$1$		$2$	$69120$	$1.455542$	$-81415168/13851$	$0.91437$	$4.27093$	$[0, 1, 0, -20697, 1296819]$	$y^2=x^3+x^2-20697x+1296819$	38.2.0.a.1	$[(6, 1083)]$
17328.u1	17328bg3	17328.u	17328bg	$4$	$4$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{12} \cdot 3^{4} \cdot 19^{7}$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$456$	$48$	$0$	$1$	$1$		$3$	$138240$	$1.920359$	$115714886617/1539$	$0.98111$	$5.27237$	$[0, 1, 0, -586384, 172633556]$	$y^2=x^3+x^2-586384x+172633556$	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.9, 76.24.0.?, 456.48.0.?	$[]$
17328.u2	17328bg2	17328.u	17328bg	$4$	$4$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{12} \cdot 3^{2} \cdot 19^{8}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$228$	$48$	$0$	$1$	$1$		$3$	$69120$	$1.573784$	$30664297/3249$	$0.90727$	$4.42855$	$[0, 1, 0, -37664, 2530356]$	$y^2=x^3+x^2-37664x+2530356$	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 76.24.0.?, 228.48.0.?	$[]$
17328.u3	17328bg1	17328.u	17328bg	$4$	$4$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{12} \cdot 3 \cdot 19^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$456$	$48$	$0$	$1$	$1$		$1$	$34560$	$1.227211$	$389017/57$	$0.96267$	$3.98109$	$[0, 1, 0, -8784, -276780]$	$y^2=x^3+x^2-8784x-276780$	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.1, 114.6.0.?, 152.24.0.?, $\ldots$	$[]$
17328.u4	17328bg4	17328.u	17328bg	$4$	$4$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{12} \cdot 3 \cdot 19^{10}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$456$	$48$	$0$	$1$	$1$		$1$	$138240$	$1.920359$	$67419143/390963$	$0.97474$	$4.73463$	$[0, 1, 0, 48976, 12545940]$	$y^2=x^3+x^2+48976x+12545940$	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.5, 12.12.0.g.1, $\ldots$	$[]$
17328.v1	17328i2	17328.v	17328i	$2$	$2$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{10} \cdot 3^{2} \cdot 19^{3}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$6400$	$0.327095$	$1203052/9$	$1.19561$	$3.04968$	$[0, 1, 0, -424, -3484]$	$y^2=x^3+x^2-424x-3484$	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
17328.v2	17328i1	17328.v	17328i	$2$	$2$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{8} \cdot 3 \cdot 19^{3}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$3200$	$-0.019479$	$5488/3$	$0.87364$	$2.35539$	$[0, 1, 0, -44, 12]$	$y^2=x^3+x^2-44x+12$	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[]$
17328.w1	17328j1	17328.w	17328j	$1$	$1$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{8} \cdot 3^{5} \cdot 19^{8}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.5.0.1	5S4	$30$	$10$	$0$	$1$	$1$		$0$	$109440$	$1.571154$	$-104272/243$	$0.87512$	$4.33094$	$[0, 1, 0, -16004, 1741932]$	$y^2=x^3+x^2-16004x+1741932$	5.5.0.a.1, 6.2.0.a.1, 30.10.0.a.1	$[]$
17328.x1	17328bb1	17328.x	17328bb	$1$	$1$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{8} \cdot 3^{4} \cdot 19^{9}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$76$	$8$	$0$	$2.081242215$	$1$		$2$	$72960$	$1.730131$	$-65536/81$	$1.10590$	$4.53668$	$[0, 1, 0, -36581, -4780977]$	$y^2=x^3+x^2-36581x-4780977$	4.4.0.a.1, 38.2.0.a.1, 76.8.0.?	$[(1203, 41154)]$
17328.y1	17328l1	17328.y	17328l	$1$	$1$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{4} \cdot 3^{3} \cdot 19^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$2.096836760$	$1$		$2$	$1728$	$-0.160540$	$-4864000/27$	$0.93971$	$2.46600$	$[0, 1, 0, -63, -216]$	$y^2=x^3+x^2-63x-216$	6.2.0.a.1	$[(12, 30)]$
17328.z1	17328z1	17328.z	17328z	$1$	$1$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{20} \cdot 3^{5} \cdot 19^{4}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.436047817$	$1$		$4$	$34560$	$1.351603$	$-1100553625/62208$	$1.03685$	$4.20158$	$[0, 1, 0, -17448, -935244]$	$y^2=x^3+x^2-17448x-935244$	6.2.0.a.1	$[(174, 1152)]$
17328.ba1	17328ba2	17328.ba	17328ba	$2$	$7$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{12} \cdot 3^{7} \cdot 19^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$1596$	$96$	$2$	$0.247429248$	$1$		$6$	$306432$	$2.406620$	$-89289015625/2187$	$1.08884$	$5.84918$	$[0, 1, 0, -3829608, 2883345012]$	$y^2=x^3+x^2-3829608x+2883345012$	6.2.0.a.1, 7.8.0.a.1, 28.16.0-7.a.1.2, 42.16.0.a.1, 84.32.0.?, $\ldots$	$[(2286, 77976)]$
17328.ba2	17328ba1	17328.ba	17328ba	$2$	$7$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{12} \cdot 3 \cdot 19^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$1596$	$96$	$2$	$1.732004740$	$1$		$0$	$43776$	$1.433666$	$2375/3$	$0.82914$	$4.07926$	$[0, 1, 0, 11432, -507820]$	$y^2=x^3+x^2+11432x-507820$	6.2.0.a.1, 7.8.0.a.1, 28.16.0-7.a.1.1, 42.16.0.a.1, 84.32.0.?, $\ldots$	$[(358/3, 2888/3)]$
17328.bb1	17328be3	17328.bb	17328be	$4$	$6$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{14} \cdot 3 \cdot 19^{9}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.4, 3.4.0.1	2B, 3B	$456$	$96$	$1$	$1$	$9$	$3$	$1$	$311040$	$2.270870$	$8671983378625/82308$	$1.00775$	$5.71466$	$[0, 1, 0, -2472248, -1497000108]$	$y^2=x^3+x^2-2472248x-1497000108$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 12.24.0-6.a.1.10, $\ldots$	$[]$
17328.bb2	17328be4	17328.bb	17328be	$4$	$6$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{13} \cdot 3^{2} \cdot 19^{12}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.5, 3.4.0.1	2B, 3B	$456$	$96$	$1$	$1$	$9$	$3$	$1$	$622080$	$2.617443$	$-8078253774625/846825858$	$1.01015$	$5.72445$	$[0, 1, 0, -2414488, -1570216684]$	$y^2=x^3+x^2-2414488x-1570216684$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.2, $\ldots$	$[]$
17328.bb3	17328be1	17328.bb	17328be	$4$	$6$	$2^{4} \cdot 3 \cdot 19^{2}$	$2^{18} \cdot 3^{3} \cdot 19^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.4, 3.4.0.1	2B, 3B	$456$	$96$	$1$	$1$	$1$		$1$	$103680$	$1.721563$	$57066625/32832$	$1.04766$	$4.49219$	$[0, 1, 0, -46328, 277716]$	$y^2=x^3+x^2-46328x+277716$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 12.24.0-6.a.1.4, $\ldots$	$[]$
17328.bb4	17328be2	17328.bb	17328be	$4$	$6$	$2^{4} \cdot 3 \cdot 19^{2}$	$- 2^{15} \cdot 3^{6} \cdot 19^{8}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.5, 3.4.0.1	2B, 3B	$456$	$96$	$1$	$1$	$1$		$1$	$207360$	$2.068134$	$3616805375/2105352$	$1.07346$	$4.91730$	$[0, 1, 0, 184712, 2403284]$	$y^2=x^3+x^2+184712x+2403284$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.8, $\ldots$	$[]$

  Download displayed columns for results to