Elliptic curves over $\Q$ of conductor 216225

Results (1-50 of 89 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
216225.a1	216225e1	216225.a	216225e	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{6} \cdot 5^{7} \cdot 31^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$3.127786335$	$1$		$10$	$11784960$	$2.544426$	$126976/5$	$0.71655$	$4.51576$	$[0, 0, 1, -2234325, -1240981344]$	\(y^2+y=x^3-2234325x-1240981344\)	10.2.0.a.1	$[(-961, 4324), (33635, 6162412)]$
216225.b1	216225f1	216225.b	216225f	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{9} \cdot 5^{2} \cdot 31^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$186$	$2$	$0$	$3.939303437$	$1$		$2$	$4423680$	$2.017048$	$878080000/837$	$0.96687$	$4.15235$	$[0, 0, 1, -504525, -137820614]$	\(y^2+y=x^3-504525x-137820614\)	186.2.0.?	$[(-416, 265)]$
216225.c1	216225g1	216225.c	216225g	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{6} \cdot 5^{7} \cdot 31^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.913139042$	$1$		$6$	$380160$	$0.827433$	$126976/5$	$0.71655$	$2.83847$	$[0, 0, 1, -2325, 41656]$	\(y^2+y=x^3-2325x+41656\)	10.2.0.a.1	$[(40, 112)]$
216225.d1	216225a1	216225.d	216225a	$2$	$5$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{7} \cdot 5^{4} \cdot 31^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$930$	$48$	$1$	$1$	$1$		$0$	$1461600$	$1.673201$	$-102400/3$	$1.04391$	$3.68114$	$[0, 0, 1, -72075, -7633944]$	\(y^2+y=x^3-72075x-7633944\)	5.12.0.a.2, 6.2.0.a.1, 30.24.1.d.2, 310.24.0.?, 465.24.0.?, $\ldots$	$[ ]$
216225.d2	216225a2	216225.d	216225a	$2$	$5$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{11} \cdot 5^{8} \cdot 31^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$930$	$48$	$1$	$1$	$1$		$0$	$7308000$	$2.477921$	$20480/243$	$1.13104$	$4.31200$	$[0, 0, 1, 360375, 367732656]$	\(y^2+y=x^3+360375x+367732656\)	5.12.0.a.1, 6.2.0.a.1, 30.24.1.d.1, 310.24.0.?, 465.24.0.?, $\ldots$	$[ ]$
216225.e1	216225b1	216225.e	216225b	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{7} \cdot 5^{4} \cdot 31^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$186$	$2$	$0$	$2.683565329$	$1$		$8$	$245760$	$0.813276$	$102400/3$	$0.84019$	$2.83847$	$[0, 0, 1, -2325, -42044]$	\(y^2+y=x^3-2325x-42044\)	186.2.0.?	$[(-31, 15), (-29, 31)]$
216225.f1	216225c1	216225.f	216225c	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{7} \cdot 5^{4} \cdot 31^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$186$	$2$	$0$	$1$	$1$		$0$	$7618560$	$2.530270$	$102400/3$	$0.84019$	$4.51576$	$[0, 0, 1, -2234325, 1252525356]$	\(y^2+y=x^3-2234325x+1252525356\)	186.2.0.?	$[ ]$
216225.g1	216225h2	216225.g	216225h	$2$	$5$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{6} \cdot 5^{7} \cdot 31^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$930$	$48$	$1$	$43.54934626$	$1$		$0$	$69120000$	$3.519554$	$-65626385453056/143145755$	$0.97061$	$5.59024$	$[0, 0, 1, -181701075, -944498518844]$	\(y^2+y=x^3-181701075x-944498518844\)	5.12.0.a.2, 30.24.0-5.a.2.1, 310.24.1.?, 465.24.0.?, 930.48.1.?	$[(1228509185610536457665/72406778, 42986476668752706897999606549949/72406778)]$
216225.g2	216225h1	216225.g	216225h	$2$	$5$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{6} \cdot 5^{11} \cdot 31^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$930$	$48$	$1$	$8.709869252$	$1$		$0$	$13824000$	$2.714836$	$99897344/96875$	$0.86229$	$4.49947$	$[0, 0, 1, 2090175, 956104906]$	\(y^2+y=x^3+2090175x+956104906\)	5.12.0.a.1, 30.24.0-5.a.1.1, 310.24.1.?, 465.24.0.?, 930.48.1.?	$[(936665/2, 906535321/2)]$
216225.h1	216225d1	216225.h	216225d	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{15} \cdot 5^{8} \cdot 31^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$186$	$2$	$0$	$1$	$9$	$3$	$0$	$1393459200$	$4.860222$	$1131514829301821440/541530783546813$	$1.06248$	$6.64610$	$[0, 0, 1, -13725602625, 257433820136406]$	\(y^2+y=x^3-13725602625x+257433820136406\)	186.2.0.?	$[ ]$
216225.i1	216225k2	216225.i	216225k	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{6} \cdot 5^{7} \cdot 31^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$620$	$12$	$0$	$5.589542167$	$1$		$2$	$8847360$	$2.655415$	$1948441249/4805$	$0.86747$	$4.74130$	$[1, -1, 1, -5626355, -5124390978]$	\(y^2+xy+y=x^3-x^2-5626355x-5124390978\)	2.3.0.a.1, 10.6.0.a.1, 124.6.0.?, 620.12.0.?	$[(4634, 259020)]$
216225.i2	216225k1	216225.i	216225k	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{6} \cdot 5^{8} \cdot 31^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$620$	$12$	$0$	$11.17908433$	$1$		$1$	$4423680$	$2.308842$	$-117649/775$	$0.89386$	$4.15530$	$[1, -1, 1, -220730, -140404728]$	\(y^2+xy+y=x^3-x^2-220730x-140404728\)	2.3.0.a.1, 20.6.0.c.1, 62.6.0.b.1, 620.12.0.?	$[(603636/23, 395215165/23)]$
216225.j1	216225l1	216225.j	216225l	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{19} \cdot 5^{10} \cdot 31^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$372$	$2$	$0$	$22.08589805$	$1$		$0$	$59904000$	$3.765404$	$6771000575/49424013$	$0.97366$	$5.56640$	$[1, -1, 1, 72863320, 815792609072]$	\(y^2+xy+y=x^3-x^2+72863320x+815792609072\)	372.2.0.?	$[(10893744156/355, 1141319941227889/355)]$
216225.k1	216225m8	216225.k	216225m	$8$	$16$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{10} \cdot 5^{7} \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.121	2B	$14880$	$768$	$13$	$24.18071670$	$1$		$0$	$23592960$	$3.361889$	$1114544804970241/405$	$1.07354$	$5.82050$	$[1, -1, 1, -467050505, -3884908811628]$	\(y^2+xy+y=x^3-x^2-467050505x-3884908811628\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$	$[(790322752827/3938, 623244887781912565/3938)]$
216225.k2	216225m6	216225.k	216225m	$8$	$16$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{14} \cdot 5^{8} \cdot 31^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$7440$	$768$	$13$	$12.09035835$	$1$		$2$	$11796480$	$3.015316$	$272223782641/164025$	$1.03897$	$5.14342$	$[1, -1, 1, -29194880, -60677782878]$	\(y^2+xy+y=x^3-x^2-29194880x-60677782878\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$	$[(4012947/22, 5459772183/22)]$
216225.k3	216225m7	216225.k	216225m	$8$	$16$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{22} \cdot 5^{7} \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.134	2B	$14880$	$768$	$13$	$24.18071670$	$1$		$0$	$23592960$	$3.361889$	$-147281603041/215233605$	$1.05949$	$5.19598$	$[1, -1, 1, -23789255, -83846291628]$	\(y^2+xy+y=x^3-x^2-23789255x-83846291628\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(703089061227/9262, 410882980769760363/9262)]$
216225.k4	216225m3	216225.k	216225m	$8$	$16$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{7} \cdot 5^{7} \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$14880$	$768$	$13$	$1.511294794$	$1$		$4$	$5898240$	$2.668739$	$56667352321/15$	$1.03019$	$5.01566$	$[1, -1, 1, -17302505, 27706348122]$	\(y^2+xy+y=x^3-x^2-17302505x+27706348122\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[(2399, -975)]$
216225.k5	216225m4	216225.k	216225m	$8$	$16$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{10} \cdot 5^{10} \cdot 31^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.44	2Cs	$7440$	$768$	$13$	$6.045179176$	$1$		$2$	$5898240$	$2.668739$	$111284641/50625$	$1.02534$	$4.50826$	$[1, -1, 1, -2166755, -567232878]$	\(y^2+xy+y=x^3-x^2-2166755x-567232878\)	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(10107/2, 793285/2)]$
216225.k6	216225m2	216225.k	216225m	$8$	$16$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{8} \cdot 5^{8} \cdot 31^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.3	2Cs	$7440$	$768$	$13$	$3.022589588$	$1$		$6$	$2949120$	$2.322166$	$13997521/225$	$0.96230$	$4.33949$	$[1, -1, 1, -1085630, 429564372]$	\(y^2+xy+y=x^3-x^2-1085630x+429564372\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(783, 7296)]$
216225.k7	216225m1	216225.k	216225m	$8$	$16$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{7} \cdot 5^{7} \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$14880$	$768$	$13$	$1.511294794$	$1$		$7$	$1474560$	$1.975594$	$-1/15$	$1.19808$	$3.82732$	$[1, -1, 1, -4505, 18736872]$	\(y^2+xy+y=x^3-x^2-4505x+18736872\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[(8, 4320)]$
216225.k8	216225m5	216225.k	216225m	$8$	$16$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{8} \cdot 5^{14} \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$14880$	$768$	$13$	$12.09035835$	$1$		$0$	$11796480$	$3.015316$	$4733169839/3515625$	$1.05585$	$4.81356$	$[1, -1, 1, 7563370, -4264680378]$	\(y^2+xy+y=x^3-x^2+7563370x-4264680378\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$	$[(2644227/38, 6830227015/38)]$
216225.l1	216225n2	216225.l	216225n	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{14} \cdot 5^{8} \cdot 31^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.27	2B	$1240$	$48$	$1$	$1.440852534$	$1$		$6$	$1966080$	$2.153145$	$252316159759/164025$	$0.97252$	$4.29859$	$[1, -1, 1, -918230, 338708022]$	\(y^2+xy+y=x^3-x^2-918230x+338708022\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 40.24.0.dk.1, 124.12.0.?, $\ldots$	$[(504, 1685)]$
216225.l2	216225n1	216225.l	216225n	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{10} \cdot 5^{10} \cdot 31^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1240$	$48$	$1$	$2.881705068$	$1$		$5$	$983040$	$1.806572$	$-32461759/50625$	$0.92162$	$3.67572$	$[1, -1, 1, -46355, 7395522]$	\(y^2+xy+y=x^3-x^2-46355x+7395522\)	2.3.0.a.1, 4.12.0.f.1, 40.24.0.eb.1, 62.6.0.b.1, 124.24.0.?, $\ldots$	$[(8, 2646)]$
216225.m1	216225o2	216225.m	216225o	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{14} \cdot 5^{8} \cdot 31^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.27	2B	$1240$	$48$	$1$	$23.70275797$	$1$		$0$	$60948480$	$3.870140$	$252316159759/164025$	$0.97252$	$5.97588$	$[1, -1, 1, -882418730, -10083391341478]$	\(y^2+xy+y=x^3-x^2-882418730x-10083391341478\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 40.24.0.dk.1, 124.12.0.?, $\ldots$	$[(5291318658084/6151, 11854528626812828995/6151)]$
216225.m2	216225o1	216225.m	216225o	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{10} \cdot 5^{10} \cdot 31^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1240$	$48$	$1$	$47.40551594$	$1$		$1$	$30474240$	$3.523567$	$-32461759/50625$	$0.92162$	$5.35300$	$[1, -1, 1, -44546855, -219963628978]$	\(y^2+xy+y=x^3-x^2-44546855x-219963628978\)	2.3.0.a.1, 4.12.0.f.1, 40.24.0.eb.1, 62.6.0.b.1, 124.24.0.?, $\ldots$	$[(8591602750190866302706/496096603, 777432577954356410366788364252340/496096603)]$
216225.n1	216225i1	216225.n	216225i	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{15} \cdot 5^{8} \cdot 31^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$1$	$4$	$2$	$0$	$112492800$	$3.997185$	$32957495/19683$	$1.03759$	$5.78943$	$[1, -1, 1, 411255445, -574363323178]$	\(y^2+xy+y=x^3-x^2+411255445x-574363323178\)	6.6.0.b.1	$[ ]$
216225.o1	216225j1	216225.o	216225j	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{15} \cdot 5^{8} \cdot 31^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$1.120805747$	$1$		$4$	$3628800$	$2.280190$	$32957495/19683$	$1.03759$	$4.11214$	$[1, -1, 1, 427945, 19169322]$	\(y^2+xy+y=x^3-x^2+427945x+19169322\)	6.6.0.b.1	$[(194, 10365)]$
216225.p1	216225p1	216225.p	216225p	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{9} \cdot 5^{2} \cdot 31^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$372$	$2$	$0$	$0.486927038$	$1$		$4$	$1658880$	$1.855974$	$-16539745/837$	$0.82733$	$3.83583$	$[1, -1, 1, -134240, 19774752]$	\(y^2+xy+y=x^3-x^2-134240x+19774752\)	372.2.0.?	$[(8, 4320)]$
216225.q1	216225q3	216225.q	216225q	$4$	$4$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{10} \cdot 5^{10} \cdot 31^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.14	2B	$3720$	$48$	$0$	$5.530445853$	$1$		$2$	$23592960$	$3.130802$	$543538277281/1569375$	$0.92064$	$5.19971$	$[1, -1, 1, -36762755, 85589540372]$	\(y^2+xy+y=x^3-x^2-36762755x+85589540372\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[(1659, 169945)]$
216225.q2	216225q2	216225.q	216225q	$4$	$4$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{8} \cdot 5^{8} \cdot 31^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.2	2Cs	$1860$	$48$	$0$	$11.06089170$	$1$		$2$	$11796480$	$2.784229$	$374805361/216225$	$0.96767$	$4.60711$	$[1, -1, 1, -3247880, 126609122]$	\(y^2+xy+y=x^3-x^2-3247880x+126609122\)	2.6.0.a.1, 4.12.0-2.a.1.2, 60.24.0-60.b.1.7, 124.24.0.?, 1860.48.0.?	$[(16791/23, 58844420/23)]$
216225.q3	216225q1	216225.q	216225q	$4$	$4$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{7} \cdot 5^{7} \cdot 31^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.14	2B	$3720$	$48$	$0$	$5.530445853$	$1$		$1$	$5898240$	$2.437656$	$111284641/465$	$0.83191$	$4.50826$	$[1, -1, 1, -2166755, -1222634878]$	\(y^2+xy+y=x^3-x^2-2166755x-1222634878\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(61699/6, 1928995/6)]$
216225.q4	216225q4	216225.q	216225q	$4$	$4$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{7} \cdot 5^{7} \cdot 31^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.14	2B	$3720$	$48$	$0$	$5.530445853$	$1$		$0$	$23592960$	$3.130802$	$23862997439/13852815$	$1.00143$	$4.94525$	$[1, -1, 1, 12968995, 1002320372]$	\(y^2+xy+y=x^3-x^2+12968995x+1002320372\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 30.6.0.a.1, 60.12.0.g.1, $\ldots$	$[(-4479/8, 4990835/8)]$
216225.r1	216225r1	216225.r	216225r	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{9} \cdot 5^{10} \cdot 31^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$8.135299643$	$1$		$0$	$1036800$	$1.477348$	$-265825/27$	$0.83750$	$3.43586$	$[1, -1, 1, -25430, -1685928]$	\(y^2+xy+y=x^3-x^2-25430x-1685928\)	6.6.0.b.1	$[(7904/5, 563832/5)]$
216225.s1	216225s1	216225.s	216225s	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{9} \cdot 5^{10} \cdot 31^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$6$	$0$	$1$	$4$	$2$	$0$	$32140800$	$3.194340$	$-265825/27$	$0.83750$	$5.11314$	$[1, -1, 1, -24437930, 50420976572]$	\(y^2+xy+y=x^3-x^2-24437930x+50420976572\)	6.6.0.b.1	$[ ]$
216225.t1	216225bp1	216225.t	216225bp	$2$	$3$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{3} \cdot 5^{2} \cdot 31^{6} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$5$	5.30.0.2	5Ns.2.1				$1$	$1$		$0$	$234000$	$0.938769$	$0$		$2.81449$	$[0, 0, 1, 0, -37239]$	\(y^2+y=x^3-37239\)		$[ ]$
216225.t2	216225bp2	216225.t	216225bp	$2$	$3$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{9} \cdot 5^{2} \cdot 31^{6} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$5$	5.30.0.2	5Ns.2.1				$1$	$1$		$0$	$702000$	$1.488075$	$0$		$3.35109$	$[0, 0, 1, 0, 1005446]$	\(y^2+y=x^3+1005446\)		$[ ]$
216225.u1	216225bc1	216225.u	216225bc	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{9} \cdot 5^{2} \cdot 31^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$2812320$	$2.226357$	$-5079040/27$	$0.90467$	$4.29273$	$[0, 0, 1, -893730, -326695554]$	\(y^2+y=x^3-893730x-326695554\)	6.2.0.a.1	$[ ]$
216225.v1	216225bd1	216225.v	216225bd	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{9} \cdot 5^{2} \cdot 31^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.517399734$	$1$		$4$	$90720$	$0.509363$	$-5079040/27$	$0.90467$	$2.61544$	$[0, 0, 1, -930, 10966]$	\(y^2+y=x^3-930x+10966\)	6.2.0.a.1	$[(16, 13)]$
216225.w1	216225t1	216225.w	216225t	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{10} \cdot 5^{9} \cdot 31^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$9$	$3$	$0$	$61900800$	$3.860310$	$31490048/81$	$1.04172$	$5.91674$	$[0, 0, 1, -692640750, -7000722080469]$	\(y^2+y=x^3-692640750x-7000722080469\)	10.2.0.a.1	$[ ]$
216225.x1	216225u1	216225.x	216225u	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{10} \cdot 5^{9} \cdot 31^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$2.852747830$	$1$		$2$	$1996800$	$2.143314$	$31490048/81$	$1.04172$	$4.23945$	$[0, 0, 1, -720750, 234994531]$	\(y^2+y=x^3-720750x+234994531\)	10.2.0.a.1	$[(175, 10687)]$
216225.y1	216225bk1	216225.y	216225bk	$2$	$3$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{3} \cdot 5^{4} \cdot 31^{10} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$8.210376175$	$1$		$2$	$2432880$	$2.351669$	$0$		$4.19471$	$[0, 0, 1, 0, -178932194]$	\(y^2+y=x^3-178932194\)		$[(6016, 466426)]$
216225.y2	216225bk2	216225.y	216225bk	$2$	$3$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{9} \cdot 5^{4} \cdot 31^{10} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$24.63112852$	$1$		$0$	$7298640$	$2.900978$	$0$		$4.73132$	$[0, 0, 1, 0, 4831169231]$	\(y^2+y=x^3+4831169231\)		$[(217016883321/6016, 102223821064433971/6016)]$
216225.z1	216225bl2	216225.z	216225bl	$2$	$3$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{9} \cdot 5^{4} \cdot 31^{4} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.4	3B.1.2				$1$	$1$		$0$	$235440$	$1.183983$	$0$		$3.05403$	$[0, 0, 1, 0, -162169]$	\(y^2+y=x^3-162169\)		$[ ]$
216225.z2	216225bl1	216225.z	216225bl	$2$	$3$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{3} \cdot 5^{4} \cdot 31^{4} \)	$0$	$\Z/3\Z$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.1	3B.1.1				$1$	$1$		$2$	$78480$	$0.634677$	$0$		$2.51743$	$[0, 0, 1, 0, 6006]$	\(y^2+y=x^3+6006\)		$[ ]$
216225.ba1	216225be1	216225.ba	216225be	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{11} \cdot 5^{2} \cdot 31^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.15.0.1	5Ns	$930$	$60$	$3$	$1.864185118$	$1$		$4$	$7618560$	$2.751827$	$163840000/243$	$1.18095$	$4.85432$	$[0, 0, 1, -8937300, 10270707921]$	\(y^2+y=x^3-8937300x+10270707921\)	5.15.0.a.1, 30.30.1.b.1, 155.30.0.?, 186.2.0.?, 930.60.3.?	$[(-961, 134059)]$
216225.bb1	216225bm1	216225.bb	216225bm	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{9} \cdot 5^{8} \cdot 31^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.30.0.2	5Ns.2.1	$930$	$120$	$5$	$3.853495904$	$1$		$0$	$69120000$	$3.874630$	$3792752640000/28629151$	$1.10707$	$5.88820$	$[0, 0, 1, -616241250, -5849560601719]$	\(y^2+y=x^3-616241250x-5849560601719\)	5.30.0.b.1, 15.60.0.b.1, 186.2.0.?, 310.60.2.?, 930.120.5.?	$[(-7377225/23, 2181812279/23)]$
216225.bc1	216225bq1	216225.bc	216225bq	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{9} \cdot 5^{2} \cdot 31^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.30.0.2	5Ns.2.1	$930$	$120$	$5$	$1$	$1$		$0$	$13824000$	$3.069912$	$3792752640000/28629151$	$1.10707$	$5.10209$	$[0, 0, 1, -24649650, -46796484814]$	\(y^2+y=x^3-24649650x-46796484814\)	5.30.0.b.1, 15.60.0.b.1, 186.2.0.?, 310.60.2.?, 930.120.5.?	$[ ]$
216225.bd1	216225v1	216225.bd	216225v	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{11} \cdot 5^{8} \cdot 31^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.15.0.1	5Ns	$930$	$60$	$3$	$1$	$4$	$2$	$0$	$38092800$	$3.556545$	$163840000/243$	$1.18095$	$5.64043$	$[0, 0, 1, -223432500, 1283838490156]$	\(y^2+y=x^3-223432500x+1283838490156\)	5.15.0.a.1, 30.30.1.b.1, 155.30.0.?, 186.2.0.?, 930.60.3.?	$[ ]$
216225.be1	216225bf1	216225.be	216225bf	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 3^{6} \cdot 5^{7} \cdot 31^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$310$	$2$	$0$	$0.403096047$	$1$		$6$	$2764800$	$2.193779$	$-262144/155$	$0.79514$	$4.07298$	$[0, 0, 1, -288300, 84718156]$	\(y^2+y=x^3-288300x+84718156\)	310.2.0.?	$[(-310, 12012)]$
216225.bf1	216225w1	216225.bf	216225w	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{7} \cdot 5^{8} \cdot 31^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$186$	$2$	$0$	$1$	$1$		$0$	$3686400$	$2.406879$	$163840/93$	$0.89371$	$4.23945$	$[0, 0, 1, -720750, 32583906]$	\(y^2+y=x^3-720750x+32583906\)	186.2.0.?	$[ ]$

  Download displayed columns for results to