LMFDB - Elliptic curves over $\Q$ of conductor 275550

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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

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Nonmax$\ \ell$	$abc$ quality	Szpiro ratio

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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
275550.a1	275550a1	275550.a	275550a	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{3} \cdot 3 \cdot 5^{9} \cdot 11^{2} \cdot 167 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$20040$	$2$	$0$	$1.195256604$	$1$		$10$	$470016$	$1.009197$	$-172715635009/60621000$	$0.80537$	$2.87435$	$[1, 1, 0, -2900, 75000]$	$y^2+xy=x^3+x^2-2900x+75000$	20040.2.0.?	$[(25, 125), (15, 180)]$
275550.b1	275550b1	275550.b	275550b	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{22} \cdot 3^{10} \cdot 5^{12} \cdot 11^{3} \cdot 167 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$7348$	$2$	$0$	$1$	$4$	$2$	$0$	$66908160$	$3.510864$	$1403601927065515735456751/860175372976128000000$	$0.99682$	$5.20956$	$[1, 1, 0, 58314975, -41601436875]$	$y^2+xy=x^3+x^2+58314975x-41601436875$	7348.2.0.?	$[]$
275550.c1	275550c1	275550.c	275550c	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{14} \cdot 3^{13} \cdot 5^{6} \cdot 11 \cdot 167 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$22044$	$2$	$0$	$1$	$4$	$2$	$0$	$5660928$	$2.224094$	$2578211650978275313/47984989814784$	$0.95012$	$4.15520$	$[1, 1, 0, -714175, -228834875]$	$y^2+xy=x^3+x^2-714175x-228834875$	22044.2.0.?	$[]$
275550.d1	275550d2	275550.d	275550d	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2 \cdot 3^{6} \cdot 5^{8} \cdot 11^{4} \cdot 167 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$20040$	$12$	$0$	$1.949949782$	$1$		$4$	$1548288$	$1.613943$	$330928743953809/89121963150$	$1.01643$	$3.43986$	$[1, 1, 0, -36025, 1909375]$	$y^2+xy=x^3+x^2-36025x+1909375$	2.3.0.a.1, 60.6.0.c.1, 1336.6.0.?, 20040.12.0.?	$[(25, 1000)]$
275550.d2	275550d1	275550.d	275550d	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{2} \cdot 3^{3} \cdot 5^{7} \cdot 11^{2} \cdot 167^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$20040$	$12$	$0$	$0.974974891$	$1$		$7$	$774144$	$1.267368$	$1327735672271/1822267260$	$0.83810$	$3.02455$	$[1, 1, 0, 5725, 197625]$	$y^2+xy=x^3+x^2+5725x+197625$	2.3.0.a.1, 30.6.0.a.1, 1336.6.0.?, 20040.12.0.?	$[(-20, 285)]$
275550.e1	275550e4	275550.e	275550e	$4$	$6$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{5} \cdot 3^{6} \cdot 5^{8} \cdot 11^{12} \cdot 167^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$20040$	$96$	$1$	$1$	$1$		$0$	$646963200$	$4.599525$	$54503637704174166328817738261281/8524700909719038897573600$	$1.01758$	$6.60458$	$[1, 1, 0, -19747279250, -1067956749523500]$	$y^2+xy=x^3+x^2-19747279250x-1067956749523500$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 15.8.0-3.a.1.1, $\ldots$	$[]$
275550.e2	275550e3	275550.e	275550e	$4$	$6$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{10} \cdot 3^{3} \cdot 5^{7} \cdot 11^{6} \cdot 167^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$20040$	$96$	$1$	$1$	$1$		$1$	$323481600$	$4.252953$	$-9875553833931662181864656161/5312374250474888572124160$	$1.00238$	$5.96924$	$[1, 1, 0, -1117427250, -19971684967500]$	$y^2+xy=x^3+x^2-1117427250x-19971684967500$	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 15.8.0-3.a.1.1, 30.48.0-30.b.1.2, $\ldots$	$[]$
275550.e3	275550e2	275550.e	275550e	$4$	$6$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{15} \cdot 3^{18} \cdot 5^{12} \cdot 11^{4} \cdot 167 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$20040$	$96$	$1$	$1$	$1$		$0$	$215654400$	$4.050217$	$1342621203600880096835669281/484997787836407296000000$	$0.99973$	$5.75747$	$[1, 1, 0, -574579250, 3249482776500]$	$y^2+xy=x^3+x^2-574579250x+3249482776500$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 15.8.0-3.a.1.2, $\ldots$	$[]$
275550.e4	275550e1	275550.e	275550e	$4$	$6$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{30} \cdot 3^{9} \cdot 5^{9} \cdot 11^{2} \cdot 167^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$20040$	$96$	$1$	$1$	$1$		$1$	$107827200$	$3.703648$	$9280763654085065883644639/8914961829206163456000$	$0.98941$	$5.36035$	$[1, 1, 0, 109452750, 358079512500]$	$y^2+xy=x^3+x^2+109452750x+358079512500$	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 15.8.0-3.a.1.2, 30.48.0-30.b.1.1, $\ldots$	$[]$
275550.f1	275550f1	275550.f	275550f	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{5} \cdot 3^{9} \cdot 5^{10} \cdot 11 \cdot 167 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$44088$	$2$	$0$	$1$	$1$		$0$	$2211840$	$1.771242$	$-441215108294689/723153420000$	$0.88346$	$3.57007$	$[1, 1, 0, -39650, 5932500]$	$y^2+xy=x^3+x^2-39650x+5932500$	44088.2.0.?	$[]$
275550.g1	275550g2	275550.g	275550g	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{5} \cdot 3^{4} \cdot 5^{6} \cdot 11 \cdot 167^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$14696$	$12$	$0$	$5.804556449$	$1$		$2$	$1382400$	$1.425703$	$695718426450529/795171168$	$0.90445$	$3.49918$	$[1, 1, 0, -46150, -3831500]$	$y^2+xy=x^3+x^2-46150x-3831500$	2.3.0.a.1, 88.6.0.?, 668.6.0.?, 14696.12.0.?	$[(871, 24418)]$
275550.g2	275550g1	275550.g	275550g	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 11^{2} \cdot 167 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$14696$	$12$	$0$	$2.902278224$	$1$		$5$	$691200$	$1.079130$	$-70393838689/186227712$	$0.86166$	$2.90197$	$[1, 1, 0, -2150, -91500]$	$y^2+xy=x^3+x^2-2150x-91500$	2.3.0.a.1, 88.6.0.?, 334.6.0.?, 14696.12.0.?	$[(71, 311)]$
275550.h1	275550h1	275550.h	275550h	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{12} \cdot 3^{17} \cdot 5^{6} \cdot 11 \cdot 167^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$22044$	$12$	$0$	$1$	$9$	$3$	$1$	$82252800$	$3.573818$	$2865531538344235202493486625/162273239306145792$	$1.05288$	$5.81799$	$[1, 1, 0, -739776450, 7744289152500]$	$y^2+xy=x^3+x^2-739776450x+7744289152500$	2.3.0.a.1, 66.6.0.a.1, 668.6.0.?, 22044.12.0.?	$[]$
275550.h2	275550h2	275550.h	275550h	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{6} \cdot 3^{34} \cdot 5^{6} \cdot 11^{2} \cdot 167 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$22044$	$12$	$0$	$1$	$9$	$3$	$0$	$164505600$	$3.920395$	$-2850034530503997051617454625/21567731878730391026112$	$1.05297$	$5.81859$	$[1, 1, 0, -738440450, 7773655768500]$	$y^2+xy=x^3+x^2-738440450x+7773655768500$	2.3.0.a.1, 132.6.0.?, 334.6.0.?, 22044.12.0.?	$[]$
275550.i1	275550i3	275550.i	275550i	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{3} \cdot 3^{2} \cdot 5^{18} \cdot 11^{4} \cdot 167 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$73480$	$48$	$0$	$1$	$1$		$0$	$13271040$	$2.697735$	$122672275168467100609/42979341796875000$	$0.99617$	$4.46354$	$[1, 1, 0, -2587900, 1005475000]$	$y^2+xy=x^3+x^2-2587900x+1005475000$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 88.12.0.?, 440.24.0.?, $\ldots$	$[]$
275550.i2	275550i2	275550.i	275550i	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{6} \cdot 3^{4} \cdot 5^{12} \cdot 11^{2} \cdot 167^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$73480$	$48$	$0$	$1$	$1$		$2$	$6635520$	$2.351162$	$9038022937509169729/273340089000000$	$0.92350$	$4.25534$	$[1, 1, 0, -1084900, -423878000]$	$y^2+xy=x^3+x^2-1084900x-423878000$	2.6.0.a.1, 40.12.0-2.a.1.1, 44.12.0-2.a.1.1, 440.24.0.?, 1336.12.0.?, $\ldots$	$[]$
275550.i3	275550i1	275550.i	275550i	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{12} \cdot 3^{2} \cdot 5^{9} \cdot 11 \cdot 167 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$73480$	$48$	$0$	$1$	$1$		$1$	$3317760$	$2.004589$	$8839555911223760449/8464896000$	$0.92287$	$4.25357$	$[1, 1, 0, -1076900, -430590000]$	$y^2+xy=x^3+x^2-1076900x-430590000$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 44.12.0-4.c.1.2, 440.24.0.?, $\ldots$	$[]$
275550.i4	275550i4	275550.i	275550i	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{3} \cdot 3^{8} \cdot 5^{9} \cdot 11 \cdot 167^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$73480$	$48$	$0$	$1$	$1$		$0$	$13271040$	$2.697735$	$172800316412350271/56134338282891000$	$1.01792$	$4.44466$	$[1, 1, 0, 290100, -1423503000]$	$y^2+xy=x^3+x^2+290100x-1423503000$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 44.12.0-4.c.1.1, 440.24.0.?, $\ldots$	$[]$
275550.j1	275550j1	275550.j	275550j	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{27} \cdot 3^{11} \cdot 5^{6} \cdot 11 \cdot 167 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$44088$	$2$	$0$	$1$	$1$		$0$	$12317184$	$2.685562$	$-17436539892199632625/43677004062523392$	$0.97691$	$4.44136$	$[1, 1, 0, -1350575, 1393969125]$	$y^2+xy=x^3+x^2-1350575x+1393969125$	44088.2.0.?	$[]$
275550.k1	275550k1	275550.k	275550k	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{6} \cdot 3^{5} \cdot 5^{9} \cdot 11 \cdot 167 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$110220$	$2$	$0$	$1$	$1$		$0$	$7050240$	$2.451294$	$13930108605452020621249/3571128000$	$0.95471$	$4.84132$	$[1, 1, 0, -12531900, 17070282000]$	$y^2+xy=x^3+x^2-12531900x+17070282000$	110220.2.0.?	$[]$
275550.l1	275550l1	275550.l	275550l	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2 \cdot 3 \cdot 5^{6} \cdot 11^{3} \cdot 167 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$44088$	$2$	$0$	$1$	$1$		$0$	$345600$	$0.683612$	$-2433138625/1333662$	$0.80571$	$2.54943$	$[1, 1, 0, -700, -10250]$	$y^2+xy=x^3+x^2-700x-10250$	44088.2.0.?	$[]$
275550.m1	275550m3	275550.m	275550m	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2 \cdot 3^{2} \cdot 5^{6} \cdot 11^{8} \cdot 167 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.9	2B	$6680$	$48$	$0$	$1$	$1$		$0$	$3932160$	$1.976542$	$482216760027353233/644362796286$	$0.94171$	$4.02137$	$[1, 1, 0, -408425, 100179375]$	$y^2+xy=x^3+x^2-408425x+100179375$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 40.24.0-8.p.1.4, 1336.24.0.?, $\ldots$	$[]$
275550.m2	275550m4	275550.m	275550m	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2 \cdot 3^{2} \cdot 5^{6} \cdot 11^{2} \cdot 167^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.15	2B	$6680$	$48$	$0$	$1$	$1$		$0$	$3932160$	$1.976542$	$200671182100438993/1694040387138$	$0.93741$	$3.95138$	$[1, 1, 0, -304925, -64462125]$	$y^2+xy=x^3+x^2-304925x-64462125$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 20.12.0-4.c.1.1, 40.24.0-8.k.1.1, $\ldots$	$[]$
275550.m3	275550m2	275550.m	275550m	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 11^{4} \cdot 167^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.3	2Cs	$6680$	$48$	$0$	$1$	$1$		$2$	$1966080$	$1.629967$	$246928513749553/132296603076$	$0.93028$	$3.41649$	$[1, 1, 0, -32675, 605625]$	$y^2+xy=x^3+x^2-32675x+605625$	2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.2, 668.12.0.?, $\ldots$	$[]$
275550.m4	275550m1	275550.m	275550m	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 11^{2} \cdot 167 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.9	2B	$6680$	$48$	$0$	$1$	$1$		$1$	$983040$	$1.283394$	$3390548817167/2121250032$	$0.90139$	$3.07417$	$[1, 1, 0, 7825, 79125]$	$y^2+xy=x^3+x^2+7825x+79125$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 20.12.0-4.c.1.2, 40.24.0-8.p.1.1, $\ldots$	$[]$
275550.n1	275550n1	275550.n	275550n	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{7} \cdot 3^{5} \cdot 5^{2} \cdot 11 \cdot 167 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$44088$	$2$	$0$	$3.301263151$	$1$		$2$	$134400$	$0.450629$	$120062520625/57138048$	$0.87468$	$2.29355$	$[1, 1, 0, -300, 720]$	$y^2+xy=x^3+x^2-300x+720$	44088.2.0.?	$[(-19, 6)]$
275550.o1	275550o1	275550.o	275550o	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{10} \cdot 3^{19} \cdot 5^{9} \cdot 11^{3} \cdot 167 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$110220$	$2$	$0$	$3.013595317$	$1$		$2$	$39398400$	$3.273842$	$216331956709365240495361/33068030988845952000$	$1.00256$	$5.06028$	$[1, 1, 0, -31266000, -57736800000]$	$y^2+xy=x^3+x^2-31266000x-57736800000$	110220.2.0.?	$[(6400, 62800)]$
275550.p1	275550p1	275550.p	275550p	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{8} \cdot 3^{5} \cdot 5^{8} \cdot 11 \cdot 167^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$132$	$2$	$0$	$1.635133358$	$1$		$0$	$1766400$	$1.730881$	$12190131307895/19084108032$	$0.87051$	$3.47589$	$[1, 1, 0, 35050, -3283500]$	$y^2+xy=x^3+x^2+35050x-3283500$	132.2.0.?	$[(940/3, 31990/3)]$
275550.q1	275550q2	275550.q	275550q	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{3} \cdot 3^{6} \cdot 5^{8} \cdot 11^{4} \cdot 167 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$20040$	$12$	$0$	$1.776489860$	$1$		$4$	$2322432$	$1.838545$	$34544369357796241/356487852600$	$0.89303$	$3.81093$	$[1, 1, 0, -169625, 26578125]$	$y^2+xy=x^3+x^2-169625x+26578125$	2.3.0.a.1, 60.6.0.c.1, 1336.6.0.?, 20040.12.0.?	$[(205, 585)]$
275550.q2	275550q1	275550.q	275550q	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{6} \cdot 3^{3} \cdot 5^{7} \cdot 11^{2} \cdot 167^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$20040$	$12$	$0$	$3.552979720$	$1$		$3$	$1161216$	$1.491972$	$-128100283921/29156276160$	$1.01928$	$3.28981$	$[1, 1, 0, -2625, 1027125]$	$y^2+xy=x^3+x^2-2625x+1027125$	2.3.0.a.1, 30.6.0.a.1, 1336.6.0.?, 20040.12.0.?	$[(515, 11430)]$
275550.r1	275550r1	275550.r	275550r	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{24} \cdot 3^{3} \cdot 5^{11} \cdot 11 \cdot 167 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$110220$	$2$	$0$	$5.721554811$	$1$		$0$	$11612160$	$2.610596$	$531016157289064594321/2600416051200000$	$0.94161$	$4.58052$	$[1, 1, 0, -4217625, -3321502875]$	$y^2+xy=x^3+x^2-4217625x-3321502875$	110220.2.0.?	$[(-1306670/33, 153400055/33)]$
275550.s1	275550s1	275550.s	275550s	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{5} \cdot 3^{4} \cdot 5^{6} \cdot 11^{4} \cdot 167 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1336$	$2$	$0$	$1$	$1$		$0$	$2488320$	$1.776392$	$-183282373631691937/6337561824$	$0.93678$	$3.94415$	$[1, 1, 0, -295850, 61816500]$	$y^2+xy=x^3+x^2-295850x+61816500$	1336.2.0.?	$[]$
275550.t1	275550t2	275550.t	275550t	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{7} \cdot 3^{5} \cdot 5^{10} \cdot 11 \cdot 167^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$44088$	$12$	$0$	$13.55880212$	$1$		$2$	$22364160$	$2.839497$	$671868958785672971274769/5963783760000$	$0.96870$	$5.15075$	$[1, 1, 0, -45617025, 118568395125]$	$y^2+xy=x^3+x^2-45617025x+118568395125$	2.3.0.a.1, 264.6.0.?, 668.6.0.?, 44088.12.0.?	$[(775661, 682724106)]$
275550.t2	275550t1	275550.t	275550t	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{14} \cdot 3^{10} \cdot 5^{8} \cdot 11^{2} \cdot 167 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$44088$	$12$	$0$	$6.779401062$	$1$		$5$	$11182080$	$2.492924$	$-163678902661380956689/488736007372800$	$0.93649$	$4.48698$	$[1, 1, 0, -2849025, 1854523125]$	$y^2+xy=x^3+x^2-2849025x+1854523125$	2.3.0.a.1, 264.6.0.?, 334.6.0.?, 44088.12.0.?	$[(-1939, 10633)]$
275550.u1	275550u1	275550.u	275550u	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{5} \cdot 3^{3} \cdot 5^{3} \cdot 11^{6} \cdot 167 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$20040$	$2$	$0$	$2.324298858$	$1$		$2$	$1601280$	$1.441206$	$-54259581802296941/255614993568$	$0.91270$	$3.46217$	$[1, 0, 1, -39436, -3029782]$	$y^2+xy+y=x^3-39436x-3029782$	20040.2.0.?	$[(258, 1867)]$
275550.v1	275550v1	275550.v	275550v	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{2} \cdot 3^{3} \cdot 5^{7} \cdot 11 \cdot 167 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$110220$	$2$	$0$	$0.383457282$	$1$		$18$	$359424$	$0.692219$	$10091699281/991980$	$0.76733$	$2.60979$	$[1, 0, 1, -1126, 13148]$	$y^2+xy+y=x^3-1126x+13148$	110220.2.0.?	$[(37, 131), (7, 71)]$
275550.w1	275550w1	275550.w	275550w	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2 \cdot 3^{7} \cdot 5^{4} \cdot 11^{2} \cdot 167 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$4008$	$2$	$0$	$0.642674678$	$1$		$4$	$407232$	$0.750671$	$151460719175/88385418$	$0.89088$	$2.56906$	$[1, 0, 1, 949, -952]$	$y^2+xy+y=x^3+949x-952$	4008.2.0.?	$[(18, 139)]$
275550.x1	275550x1	275550.x	275550x	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{7} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 167^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$44088$	$2$	$0$	$1$	$1$		$0$	$1118208$	$1.470110$	$-10907077259233/19673123712$	$0.89733$	$3.28041$	$[1, 0, 1, -11551, 968498]$	$y^2+xy+y=x^3-11551x+968498$	44088.2.0.?	$[]$
275550.y1	275550y1	275550.y	275550y	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{3} \cdot 3^{5} \cdot 5^{6} \cdot 11^{5} \cdot 167 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$44088$	$2$	$0$	$1$	$1$		$0$	$3379200$	$2.063164$	$-11040006499408683217/52284885048$	$0.95639$	$4.27131$	$[1, 0, 1, -1159726, -480806152]$	$y^2+xy+y=x^3-1159726x-480806152$	44088.2.0.?	$[]$
275550.z1	275550z1	275550.z	275550z	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{14} \cdot 3^{3} \cdot 5^{9} \cdot 11^{3} \cdot 167 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$110220$	$2$	$0$	$1.169072187$	$1$		$14$	$3548160$	$2.006882$	$177855145704053/98328231936$	$0.91395$	$3.77574$	$[1, 0, 1, -146451, 4546798]$	$y^2+xy+y=x^3-146451x+4546798$	110220.2.0.?	$[(4127, 261936), (2, 2061)]$
275550.ba1	275550ba1	275550.ba	275550ba	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 11^{10} \cdot 167 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$4008$	$2$	$0$	$1$	$1$		$0$	$41601600$	$3.303318$	$-383078144224549981434505/59879345933265408$	$0.97609$	$5.36288$	$[1, 0, 1, -110604951, -447793253702]$	$y^2+xy+y=x^3-110604951x-447793253702$	4008.2.0.?	$[]$
275550.bb1	275550bb1	275550.bb	275550bb	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{9} \cdot 3^{8} \cdot 5^{10} \cdot 11 \cdot 167^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$88$	$2$	$0$	$4.175044470$	$1$		$2$	$6808320$	$2.325596$	$-5338137745825/1030541833728$	$0.94476$	$4.08838$	$[1, 0, 1, -77826, -152865452]$	$y^2+xy+y=x^3-77826x-152865452$	88.2.0.?	$[(1838, 75984)]$
275550.bc1	275550bc1	275550.bc	275550bc	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{2} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 167 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$22044$	$2$	$0$	$4.191326774$	$1$		$2$	$206080$	$0.535876$	$13841287201/22044$	$1.01846$	$2.63501$	$[1, 0, 1, -1251, -17102]$	$y^2+xy+y=x^3-1251x-17102$	22044.2.0.?	$[(73, 494)]$
275550.bd1	275550bd2	275550.bd	275550bd	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{4} \cdot 3^{4} \cdot 5^{10} \cdot 11 \cdot 167^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7348$	$12$	$0$	$1$	$1$		$0$	$4521984$	$2.188484$	$48441951315182180881/248490990000$	$0.93094$	$4.38937$	$[1, 0, 1, -1898626, -1007101852]$	$y^2+xy+y=x^3-1898626x-1007101852$	2.3.0.a.1, 44.6.0.a.1, 668.6.0.?, 7348.12.0.?	$[]$
275550.bd2	275550bd1	275550.bd	275550bd	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 11^{2} \cdot 167 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7348$	$12$	$0$	$1$	$1$		$1$	$2260992$	$1.841913$	$-11227536481458961/848500012800$	$0.88759$	$3.73100$	$[1, 0, 1, -116626, -16309852]$	$y^2+xy+y=x^3-116626x-16309852$	2.3.0.a.1, 44.6.0.b.1, 334.6.0.?, 7348.12.0.?	$[]$
275550.be1	275550be1	275550.be	275550be	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{11} \cdot 3^{11} \cdot 5^{2} \cdot 11^{5} \cdot 167 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$44088$	$2$	$0$	$0.538925091$	$1$		$4$	$4530240$	$2.112228$	$319260650146822136065/9757614387197952$	$0.95000$	$4.02597$	$[1, 0, 1, -416346, -100669172]$	$y^2+xy+y=x^3-416346x-100669172$	44088.2.0.?	$[(-382, 1824)]$
275550.bf1	275550bf2	275550.bf	275550bf	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2 \cdot 3 \cdot 5^{10} \cdot 11 \cdot 167^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$44088$	$12$	$0$	$5.740269515$	$1$		$2$	$700416$	$1.233593$	$2058561081361/1150421250$	$0.86288$	$3.03433$	$[1, 0, 1, -6626, 37898]$	$y^2+xy+y=x^3-6626x+37898$	2.3.0.a.1, 264.6.0.?, 668.6.0.?, 44088.12.0.?	$[(278, 4299)]$
275550.bf2	275550bf1	275550.bf	275550bf	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 11^{2} \cdot 167 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$44088$	$12$	$0$	$2.870134757$	$1$		$5$	$350208$	$0.887020$	$30342134159/18186300$	$0.82314$	$2.69767$	$[1, 0, 1, 1624, 4898]$	$y^2+xy+y=x^3+1624x+4898$	2.3.0.a.1, 264.6.0.?, 334.6.0.?, 44088.12.0.?	$[(3, 97)]$
275550.bg1	275550bg1	275550.bg	275550bg	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ - 2^{25} \cdot 3 \cdot 5^{9} \cdot 11^{2} \cdot 167 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$20040$	$2$	$0$	$16.87770852$	$1$		$0$	$5920000$	$2.253532$	$1098178457469211/2034103222272$	$0.90928$	$3.98404$	$[1, 0, 1, 268674, -79495952]$	$y^2+xy+y=x^3+268674x-79495952$	20040.2.0.?	$[(47637481/256, 369043837301/256)]$
275550.bh1	275550bh1	275550.bh	275550bh	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 167 $	$ 2^{2} \cdot 3^{5} \cdot 5^{9} \cdot 11^{5} \cdot 167 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$110220$	$2$	$0$	$3.224517992$	$1$		$2$	$7168000$	$2.357128$	$2257231295542446917/26142442524$	$0.93230$	$4.53004$	$[1, 0, 1, -3416076, -2430445202]$	$y^2+xy+y=x^3-3416076x-2430445202$	110220.2.0.?	$[(-1069, 651)]$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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