Elliptic curves over $\Q$ of conductor 112710

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (1-50 of 154 matches)

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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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
112710.a1	112710h2	112710.a	112710h	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13^{6} \cdot 17^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$13260$	$12$	$0$	$1.317597506$	$1$		$18$	$700416$	$1.431553$	$217482980991353/23168683200$	$1.01911$	$3.56867$	$1$	$[1, 1, 0, -21298, -1089548]$	\(y^2+xy=x^3+x^2-21298x-1089548\)	2.3.0.a.1, 204.6.0.?, 780.6.0.?, 4420.6.0.?, 13260.12.0.?	$[(171, 467), (-84, 382)]$	$1$
112710.a2	112710h1	112710.a	112710h	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{12} \cdot 3^{2} \cdot 5 \cdot 13^{3} \cdot 17^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$13260$	$12$	$0$	$1.317597506$	$1$		$17$	$350208$	$1.084978$	$2777652643193/404951040$	$0.92087$	$3.19381$	$1$	$[1, 1, 0, -4978, 114868]$	\(y^2+xy=x^3+x^2-4978x+114868\)	2.3.0.a.1, 204.6.0.?, 780.6.0.?, 2210.6.0.?, 13260.12.0.?	$[(1, 331), (27, 19)]$	$1$
112710.b1	112710c1	112710.b	112710c	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{4} \cdot 5^{9} \cdot 13 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$3.740348510$	$1$		$2$	$746496$	$1.473900$	$-8035466932025641/526500000000$	$0.95582$	$3.64462$	$1$	$[1, 1, 0, -27588, -1872432]$	\(y^2+xy=x^3+x^2-27588x-1872432\)	260.2.0.?	$[(408, 7212)]$	$1$
112710.c1	112710a1	112710.c	112710a	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2 \cdot 3 \cdot 5^{10} \cdot 13 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1.782896629$	$1$		$4$	$375840$	$1.276503$	$-26082839807821801/761718750$	$0.96049$	$3.73662$	$1$	$[1, 1, 0, -40848, 3160758]$	\(y^2+xy=x^3+x^2-40848x+3160758\)	312.2.0.?	$[(-211, 1668)]$	$1$
112710.d1	112710f4	112710.d	112710f	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{15} \cdot 3^{6} \cdot 5 \cdot 13^{6} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$26520$	$96$	$1$	$1$	$1$		$0$	$22394880$	$3.421993$	$73474353581350183614361/576510977802240$	$1.05636$	$5.98754$	$1$	$[1, 1, 0, -252174903, -1541443352427]$	\(y^2+xy=x^3+x^2-252174903x-1541443352427\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.b.1, 51.8.0-3.a.1.1, $\ldots$	$[ ]$	$1$
112710.d2	112710f3	112710.d	112710f	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{30} \cdot 3^{3} \cdot 5^{2} \cdot 13^{3} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$26520$	$96$	$1$	$1$	$1$		$1$	$11197440$	$3.075420$	$-16818951115904497561/1592332281446400$	$1.03465$	$5.27999$	$1$	$[1, 1, 0, -15426103, -25161987947]$	\(y^2+xy=x^3+x^2-15426103x-25161987947\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.c.1, 51.8.0-3.a.1.1, $\ldots$	$[ ]$	$1$
112710.d3	112710f2	112710.d	112710f	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{5} \cdot 3^{18} \cdot 5^{3} \cdot 13^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$26520$	$96$	$1$	$1$	$1$		$0$	$7464960$	$2.872688$	$453198971846635561/261896250564000$	$1.11183$	$4.95629$	$1$	$[1, 1, 0, -4624728, 142180128]$	\(y^2+xy=x^3+x^2-4624728x+142180128\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.b.1, 51.8.0-3.a.1.2, $\ldots$	$[ ]$	$1$
112710.d4	112710f1	112710.d	112710f	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 13 \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$26520$	$96$	$1$	$1$	$1$		$1$	$3732480$	$2.526112$	$7064514799444439/4094064000000$	$1.10261$	$4.59856$	$1$	$[1, 1, 0, 1155272, 18488128]$	\(y^2+xy=x^3+x^2+1155272x+18488128\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.c.1, 51.8.0-3.a.1.2, $\ldots$	$[ ]$	$1$
112710.e1	112710g2	112710.e	112710g	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{3} \cdot 3 \cdot 5 \cdot 13^{3} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$26520$	$16$	$0$	$1$	$1$		$0$	$2985984$	$2.351433$	$-1629871520330191321/4481880$	$0.95862$	$5.06632$	$1$	$[1, 1, 0, -7085563, -7262502443]$	\(y^2+xy=x^3+x^2-7085563x-7262502443\)	3.4.0.a.1, 51.8.0-3.a.1.1, 1560.8.0.?, 26520.16.0.?	$[ ]$	$1$
112710.e2	112710g1	112710.e	112710g	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2 \cdot 3^{3} \cdot 5^{3} \cdot 13 \cdot 17^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$26520$	$16$	$0$	$1$	$1$		$0$	$995328$	$1.802126$	$-2768178670921/431115750$	$0.88091$	$3.94468$	$1$	$[1, 1, 0, -84538, -10693358]$	\(y^2+xy=x^3+x^2-84538x-10693358\)	3.4.0.a.1, 51.8.0-3.a.1.2, 1560.8.0.?, 26520.16.0.?	$[ ]$	$1$
112710.f1	112710d1	112710.f	112710d	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 5^{3} \cdot 13 \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$1$	$4$	$2$	$1$	$1327104$	$1.941658$	$11301253512121/2899962000$	$0.89577$	$4.04513$	$2$	$[1, 1, 0, -135113, -14317707]$	\(y^2+xy=x^3+x^2-135113x-14317707\)	2.3.0.a.1, 4.6.0.b.1, 136.12.0.?, 520.12.0.?, 2210.6.0.?, $\ldots$	$[ ]$	$1$
112710.f2	112710d2	112710.f	112710d	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 13^{2} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$8840$	$48$	$0$	$1$	$1$		$0$	$2654208$	$2.288231$	$169286748026759/247257562500$	$0.92774$	$4.31402$	$1$	$[1, 1, 0, 333067, -91192863]$	\(y^2+xy=x^3+x^2+333067x-91192863\)	2.3.0.a.1, 4.6.0.a.1, 68.12.0-4.a.1.1, 260.12.0.?, 4420.24.0.?, $\ldots$	$[ ]$	$1$
112710.g1	112710e1	112710.g	112710e	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{7} \cdot 3^{5} \cdot 5^{9} \cdot 13^{7} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1$	$1$		$0$	$243855360$	$4.525505$	$-83485496408692606522088834521/64803530931750000000$	$1.03577$	$7.18618$	$1$	$[1, 1, 0, -26314408763, 1642993826673117]$	\(y^2+xy=x^3+x^2-26314408763x+1642993826673117\)	26520.2.0.?	$[ ]$	$1$
112710.h1	112710b1	112710.h	112710b	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5 \cdot 13 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$0.560318149$	$1$		$4$	$41472$	$0.099747$	$18576359/84240$	$0.82570$	$2.09120$	$1$	$[1, 1, 0, 37, 237]$	\(y^2+xy=x^3+x^2+37x+237\)	260.2.0.?	$[(2, 17)]$	$1$
112710.i1	112710l1	112710.i	112710l	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{40} \cdot 3^{4} \cdot 5^{3} \cdot 13^{7} \cdot 17^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$2.382190870$	$1$		$4$	$140313600$	$4.199852$	$27959890153001923297218599/698551331180400082944000$	$1.08244$	$6.33286$	$1$	$[1, 1, 0, 276398583, 11486046058821]$	\(y^2+xy=x^3+x^2+276398583x+11486046058821\)	260.2.0.?	$[(80562, 23552679)]$	$1$
112710.j1	112710j4	112710.j	112710j	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{5} \cdot 3 \cdot 5^{4} \cdot 13^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2040$	$48$	$0$	$1$	$1$		$0$	$6553600$	$2.613869$	$71647584155243142409/10140000$	$1.03753$	$5.39155$	$2$	$[1, 1, 0, -25006742, 48121568244]$	\(y^2+xy=x^3+x^2-25006742x+48121568244\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$	$[ ]$	$1$
112710.j2	112710j3	112710.j	112710j	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{5} \cdot 3^{4} \cdot 5 \cdot 13^{8} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2040$	$48$	$0$	$1$	$4$	$2$	$0$	$6553600$	$2.613869$	$26465989780414729/10571870144160$	$1.02500$	$4.71211$	$2$	$[1, 1, 0, -1794262, 514103476]$	\(y^2+xy=x^3+x^2-1794262x+514103476\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.v.1, 120.24.0.?, $\ldots$	$[ ]$	$1$
112710.j3	112710j2	112710.j	112710j	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13^{4} \cdot 17^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2040$	$48$	$0$	$1$	$1$		$2$	$3276800$	$2.267296$	$17496824387403529/6580454400$	$1.00721$	$4.67653$	$1$	$[1, 1, 0, -1563062, 751268436]$	\(y^2+xy=x^3+x^2-1563062x+751268436\)	2.6.0.a.1, 24.12.0.b.1, 40.12.0.a.1, 60.12.0.b.1, 120.24.0.?, $\ldots$	$[ ]$	$1$
112710.j4	112710j1	112710.j	112710j	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{20} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2040$	$48$	$0$	$1$	$1$		$1$	$1638400$	$1.920723$	$-2656166199049/2658140160$	$0.97703$	$4.00696$	$2$	$[1, 1, 0, -83382, 15275604]$	\(y^2+xy=x^3+x^2-83382x+15275604\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 30.6.0.a.1, 40.12.0.bb.1, $\ldots$	$[ ]$	$1$
112710.k1	112710m1	112710.k	112710m	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{5} \cdot 3^{8} \cdot 5 \cdot 13 \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$520$	$2$	$0$	$9.379722294$	$1$		$0$	$3427200$	$2.218815$	$-32232581852761/13646880$	$0.92093$	$4.62240$	$1$	$[1, 1, 0, -1266837, -549548019]$	\(y^2+xy=x^3+x^2-1266837x-549548019\)	520.2.0.?	$[(3401205/44, 4311107139/44)]$	$1$
112710.l1	112710k1	112710.l	112710k	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{5} \cdot 3^{13} \cdot 5^{3} \cdot 13 \cdot 17^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1$	$1$		$0$	$35942400$	$3.379456$	$127591024063258622231/117712954934172000$	$1.08074$	$5.44116$	$1$	$[1, 1, 0, 30310748, 49525284016]$	\(y^2+xy=x^3+x^2+30310748x+49525284016\)	26520.2.0.?	$[ ]$	$1$
112710.m1	112710q3	112710.m	112710q	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{12} \cdot 3^{4} \cdot 5^{3} \cdot 13 \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.3, 3.4.0.1	2B, 3B	$26520$	$384$	$9$	$6.299043018$	$1$		$3$	$9953280$	$2.996544$	$507102228823216499929/2648775168000$	$0.98241$	$5.55978$	$2$	$[1, 1, 0, -48012587, -128069780739]$	\(y^2+xy=x^3+x^2-48012587x-128069780739\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$	$[(69990, 18387021)]$	$1$
112710.m2	112710q4	112710.m	112710q	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 13^{2} \cdot 17^{12} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.5, 3.4.0.1	2B, 3B	$26520$	$384$	$9$	$3.149521509$	$1$		$4$	$19906560$	$3.343117$	$-481184224995688814809/36713242449000000$	$0.98351$	$5.56591$	$1$	$[1, 1, 0, -47180267, -132722948931]$	\(y^2+xy=x^3+x^2-47180267x-132722948931\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0.b.1, $\ldots$	$[(8518, 284741)]$	$1$
112710.m3	112710q1	112710.m	112710q	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 5 \cdot 13^{3} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.3, 3.4.0.1	2B, 3B	$26520$	$384$	$9$	$2.099681006$	$1$		$5$	$3317760$	$2.447239$	$2749236527524969/1587903192720$	$1.00701$	$4.51743$	$2$	$[1, 1, 0, -843452, -13491456]$	\(y^2+xy=x^3+x^2-843452x-13491456\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$	$[(-745, 14588)]$	$1$
112710.m4	112710q2	112710.m	112710q	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{6} \cdot 5^{2} \cdot 13^{6} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.5, 3.4.0.1	2B, 3B	$26520$	$384$	$9$	$1.049840503$	$1$		$6$	$6635520$	$2.793812$	$175381844946241751/101691694692900$	$1.02427$	$4.87468$	$1$	$[1, 1, 0, 3370168, -103662924]$	\(y^2+xy=x^3+x^2+3370168x-103662924\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0.b.2, $\ldots$	$[(970, 63384)]$	$1$
112710.n1	112710r1	112710.n	112710r	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{6} \cdot 5 \cdot 13 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$13260$	$16$	$0$	$0.621505586$	$1$		$4$	$31104$	$0.182069$	$-215038729/189540$	$0.82743$	$2.21604$	$1$	$[1, 1, 0, -82, 424]$	\(y^2+xy=x^3+x^2-82x+424\)	3.4.0.a.1, 51.8.0-3.a.1.2, 260.2.0.?, 780.8.0.?, 13260.16.0.?	$[(10, 22)]$	$1$
112710.n2	112710r2	112710.n	112710r	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{3} \cdot 13^{3} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$13260$	$16$	$0$	$0.207168528$	$1$		$6$	$93312$	$0.731376$	$121644944711/158184000$	$0.90075$	$2.70031$	$1$	$[1, 1, 0, 683, -7379]$	\(y^2+xy=x^3+x^2+683x-7379\)	3.4.0.a.1, 51.8.0-3.a.1.1, 260.2.0.?, 780.8.0.?, 13260.16.0.?	$[(82, 739)]$	$1$
112710.o1	112710t1	112710.o	112710t	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{5} \cdot 13^{9} \cdot 17^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$0.341329124$	$1$		$20$	$49351680$	$3.808514$	$-2017434532214148121/76352395485600000$	$1.02812$	$5.93246$	$1$	$[1, 1, 0, -50298577, 1118799483541]$	\(y^2+xy=x^3+x^2-50298577x+1118799483541\)	260.2.0.?	$[(16882, 2245759), (1266/5, 132062899/5)]$	$1$
112710.p1	112710n1	112710.p	112710n	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{7} \cdot 3^{4} \cdot 5^{5} \cdot 13 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$520$	$2$	$0$	$0.642711929$	$1$		$4$	$100800$	$0.810984$	$172991854871/421200000$	$0.91040$	$2.81179$	$1$	$[1, 1, 0, 768, 14976]$	\(y^2+xy=x^3+x^2+768x+14976\)	520.2.0.?	$[(-3, 114)]$	$1$
112710.q1	112710o4	112710.q	112710o	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{20} \cdot 5 \cdot 13^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$2040$	$48$	$0$	$12.81317214$	$1$		$0$	$14745600$	$3.220184$	$3221338935539503699129/200350631681460$	$0.98911$	$5.71871$	$2$	$[1, 1, 0, -88920537, -322758546111]$	\(y^2+xy=x^3+x^2-88920537x-322758546111\)	2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 170.6.0.?, 340.24.0.?, $\ldots$	$[(882295/9, 21163463/9)]$	$1$
112710.q2	112710o3	112710.q	112710o	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{5} \cdot 5^{4} \cdot 13^{8} \cdot 17^{7} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$2040$	$48$	$0$	$3.203293036$	$1$		$10$	$14745600$	$3.220184$	$120859257477573578809/8424459021127500$	$1.14097$	$5.43650$	$1$	$[1, 1, 0, -29768017, 58615358521]$	\(y^2+xy=x^3+x^2-29768017x+58615358521\)	2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 204.24.0.?, 680.24.0.?, $\ldots$	$[(4320, 101099)]$	$1$
112710.q3	112710o2	112710.q	112710o	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 13^{4} \cdot 17^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1020$	$48$	$0$	$6.406586072$	$1$		$4$	$7372800$	$2.873608$	$936615448738871929/194959225328400$	$1.08144$	$5.01869$	$1$	$[1, 1, 0, -5890837, -4406070371]$	\(y^2+xy=x^3+x^2-5890837x-4406070371\)	2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.b.1.6, 204.24.0.?, 340.24.0.?, $\ldots$	$[(6950, 535427)]$	$1$
112710.q4	112710o1	112710.q	112710o	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5 \cdot 13^{2} \cdot 17^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$2040$	$48$	$0$	$12.81317214$	$1$		$1$	$3686400$	$2.527035$	$2266209994236551/4390344840960$	$0.94508$	$4.57419$	$2$	$[1, 1, 0, 790843, -414434739]$	\(y^2+xy=x^3+x^2+790843x-414434739\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 30.6.0.a.1, 60.12.0.g.1, $\ldots$	$[(3885690/49, 8312683611/49)]$	$1$
112710.r1	112710p1	112710.r	112710p	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 13 \cdot 17^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$5.138383712$	$1$		$2$	$3231360$	$2.456688$	$-62736640489/14976000$	$0.90669$	$4.60257$	$1$	$[1, 1, 0, -1045752, -489633984]$	\(y^2+xy=x^3+x^2-1045752x-489633984\)	260.2.0.?	$[(4272, 268104)]$	$1$
112710.s1	112710i1	112710.s	112710i	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{17} \cdot 3 \cdot 5^{6} \cdot 13 \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$279072$	$1.251503$	$87822908801351/79872000000$	$0.94838$	$3.24716$	$1$	$[1, 1, 0, 6123, -136851]$	\(y^2+xy=x^3+x^2+6123x-136851\)	312.2.0.?	$[ ]$	$1$
112710.t1	112710u1	112710.t	112710u	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{5} \cdot 5^{2} \cdot 13^{5} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$4773600$	$2.539387$	$-2045682844201/18044839800$	$0.94717$	$4.62495$	$1$	$[1, 1, 0, -505322, 557011884]$	\(y^2+xy=x^3+x^2-505322x+557011884\)	312.2.0.?	$[ ]$	$1$
112710.u1	112710s1	112710.u	112710s	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 13^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1.267580721$	$1$		$7$	$1032192$	$1.774702$	$39335220262729/23271300$	$0.89733$	$4.15234$	$1$	$[1, 1, 0, -204762, 35559936]$	\(y^2+xy=x^3+x^2-204762x+35559936\)	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[(282, 444)]$	$1$
112710.u2	112710s2	112710.u	112710s	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2 \cdot 3^{8} \cdot 5^{4} \cdot 13 \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$2.535161443$	$1$		$4$	$2064384$	$2.121277$	$-21413157997609/30812096250$	$0.91261$	$4.20743$	$1$	$[1, 1, 0, -167192, 49062594]$	\(y^2+xy=x^3+x^2-167192x+49062594\)	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[(-7, 7091)]$	$1$
112710.v1	112710z1	112710.v	112710z	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{17} \cdot 3 \cdot 5^{6} \cdot 13 \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$25.27510511$	$1$		$0$	$4744224$	$2.668110$	$87822908801351/79872000000$	$0.94838$	$4.70851$	$1$	$[1, 0, 1, 1769396, -684735094]$	\(y^2+xy+y=x^3+1769396x-684735094\)	312.2.0.?	$[(923225082528/13799, 910932918919052927/13799)]$	$1$
112710.w1	112710be1	112710.w	112710be	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{5} \cdot 5^{2} \cdot 13^{5} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.143124268$	$1$		$8$	$280800$	$1.122778$	$-2045682844201/18044839800$	$0.94717$	$3.16360$	$1$	$[1, 0, 1, -1749, 113272]$	\(y^2+xy+y=x^3-1749x+113272\)	312.2.0.?	$[(26, 279)]$	$1$
112710.x1	112710bh1	112710.x	112710bh	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 13 \cdot 17^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$1$	$1$		$0$	$190080$	$1.040083$	$-62736640489/14976000$	$0.90669$	$3.14122$	$1$	$[1, 0, 1, -3619, -99874]$	\(y^2+xy+y=x^3-3619x-99874\)	260.2.0.?	$[ ]$	$1$
112710.y1	112710ba1	112710.y	112710ba	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{14} \cdot 3^{4} \cdot 5^{6} \cdot 13^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$7.021749900$	$1$		$3$	$15482880$	$3.248032$	$9923129938500427467001/59574528000000$	$0.99298$	$5.81543$	$1$	$[1, 0, 1, -129381694, -566452339024]$	\(y^2+xy+y=x^3-129381694x-566452339024\)	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[(96418, 29672228)]$	$1$
112710.y2	112710ba2	112710.y	112710ba	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{7} \cdot 3^{8} \cdot 5^{12} \cdot 13 \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$14.04349980$	$1$		$0$	$30965760$	$3.594608$	$-9380102000370554601721/770302406250000000$	$0.99410$	$5.82200$	$1$	$[1, 0, 1, -126977214, -588517771088]$	\(y^2+xy+y=x^3-126977214x-588517771088\)	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[(763689986/89, 20918952779076/89)]$	$1$
112710.z1	112710bf1	112710.z	112710bf	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{7} \cdot 3^{4} \cdot 5^{5} \cdot 13 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$520$	$2$	$0$	$1$	$1$		$0$	$1713600$	$2.227589$	$172991854871/421200000$	$0.91040$	$4.27314$	$1$	$[1, 0, 1, 221801, 72024122]$	\(y^2+xy+y=x^3+221801x+72024122\)	520.2.0.?	$[ ]$	$1$
112710.ba1	112710bc1	112710.ba	112710bc	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{5} \cdot 13^{9} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$0.983358454$	$1$		$2$	$2903040$	$2.391907$	$-2017434532214148121/76352395485600000$	$1.02812$	$4.47111$	$1$	$[1, 0, 1, -174044, 227712026]$	\(y^2+xy+y=x^3-174044x+227712026\)	260.2.0.?	$[(1409, 52023)]$	$1$
112710.bb1	112710bb1	112710.bb	112710bb	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2 \cdot 3 \cdot 5 \cdot 13^{3} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1.778190060$	$1$		$2$	$276480$	$1.267225$	$-594823321/1120470$	$0.94169$	$3.32267$	$1$	$[1, 0, 1, -5064, 285652]$	\(y^2+xy+y=x^3-5064x+285652\)	26520.2.0.?	$[(58, 404)]$	$1$
112710.bc1	112710bd1	112710.bc	112710bd	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{5} \cdot 13^{5} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1.778876012$	$1$		$2$	$4147200$	$2.528564$	$6176736766011239/4260587175000$	$0.95458$	$4.58702$	$1$	$[1, 0, 1, 1104696, -195699698]$	\(y^2+xy+y=x^3+1104696x-195699698\)	26520.2.0.?	$[(908, 38994)]$	$1$
112710.bd1	112710v2	112710.bd	112710v	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$0$	$788480$	$1.668442$	$68523370149961/243360$	$0.97981$	$4.20006$	$1$	$[1, 0, 1, -246379, -47091274]$	\(y^2+xy+y=x^3-246379x-47091274\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[ ]$	$1$
112710.bd2	112710v1	112710.bd	112710v	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{10} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$394240$	$1.321869$	$-16022066761/998400$	$0.92192$	$3.49009$	$1$	$[1, 0, 1, -15179, -758794]$	\(y^2+xy+y=x^3-15179x-758794\)	2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.?	$[ ]$	$1$
112710.be1	112710bg1	112710.be	112710bg	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{6} \cdot 5 \cdot 13 \cdot 17^{8} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$780$	$16$	$0$	$1$	$1$		$2$	$528768$	$1.598677$	$-215038729/189540$	$0.82743$	$3.67739$	$1$	$[1, 0, 1, -23849, 2249696]$	\(y^2+xy+y=x^3-23849x+2249696\)	3.8.0-3.a.1.2, 260.2.0.?, 780.16.0.?	$[ ]$	$1$

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