LMFDB - Elliptic curves over $\Q$ of conductor 7770

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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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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Semistable	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
7770.a1	7770a4	7770.a	7770a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{7} \cdot 3^{8} \cdot 5 \cdot 7^{3} \cdot 37^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$10360$	$48$	$0$	$5.258173393$	$1$		$2$	$129024$	$2.097260$	$178529715976079010844729/2699299212865920$	$0.99935$	$5.97666$	$[1, 1, 0, -1173083, 488541597]$	$y^2+xy=x^3+x^2-1173083x+488541597$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 140.12.0.?, 280.24.0.?, $\ldots$	$[(669, 1596)]$
7770.a2	7770a3	7770.a	7770a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{7} \cdot 3^{2} \cdot 5^{4} \cdot 7^{12} \cdot 37 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$10360$	$48$	$0$	$5.258173393$	$1$		$2$	$129024$	$2.097260$	$2658450554295301169209/368731891034640000$	$0.98800$	$5.50702$	$[1, 1, 0, -288603, -52155747]$	$y^2+xy=x^3+x^2-288603x-52155747$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 148.12.0.?, 280.24.0.?, $\ldots$	$[(659, 6333)]$
7770.a3	7770a2	7770.a	7770a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 7^{6} \cdot 37^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$10360$	$48$	$0$	$2.629086696$	$1$		$8$	$64512$	$1.750687$	$47564195924660918329/5343633392025600$	$0.97214$	$5.05788$	$[1, 1, 0, -75483, 7134237]$	$y^2+xy=x^3+x^2-75483x+7134237$	2.6.0.a.1, 8.12.0-2.a.1.1, 140.12.0.?, 148.12.0.?, 280.24.0.?, $\ldots$	$[(29, 2215)]$
7770.a4	7770a1	7770.a	7770a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{28} \cdot 3^{2} \cdot 5 \cdot 7^{3} \cdot 37 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$10360$	$48$	$0$	$5.258173393$	$1$		$3$	$32256$	$1.404112$	$29489595518609351/153302146744320$	$0.96440$	$4.46528$	$[1, 1, 0, 6437, 564253]$	$y^2+xy=x^3+x^2+6437x+564253$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 140.12.0.?, 148.12.0.?, $\ldots$	$[(111, 1576)]$
7770.b1	7770b1	7770.b	7770b	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{11} \cdot 3^{6} \cdot 5 \cdot 7 \cdot 37^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$10360$	$2$	$0$	$6.367869339$	$1$		$2$	$58080$	$1.688576$	$-6374526742073108809/3623549056727040$	$0.96916$	$4.90991$	$[1, 1, 0, -38628, -4130352]$	$y^2+xy=x^3+x^2-38628x-4130352$	10360.2.0.?	$[(2907, 154944)]$
7770.c1	7770c4	7770.c	7770c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2 \cdot 3^{7} \cdot 5^{3} \cdot 7^{8} \cdot 37^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$4440$	$48$	$0$	$1$	$1$		$0$	$215040$	$2.489052$	$2939876488761250679135209/5907177326905926750$	$1.00776$	$6.28938$	$[1, 1, 0, -2984478, 1979806878]$	$y^2+xy=x^3+x^2-2984478x+1979806878$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[]$
7770.c2	7770c3	7770.c	7770c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2 \cdot 3^{28} \cdot 5^{3} \cdot 7^{2} \cdot 37 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$4440$	$48$	$0$	$1$	$4$	$2$	$0$	$215040$	$2.489052$	$1763446304891150384615209/10368906180211073250$	$1.00634$	$6.23232$	$[1, 1, 0, -2516978, -1530197622]$	$y^2+xy=x^3+x^2-2516978x-1530197622$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[]$
7770.c3	7770c2	7770.c	7770c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{2} \cdot 3^{14} \cdot 5^{6} \cdot 7^{4} \cdot 37^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$4440$	$48$	$0$	$1$	$1$		$2$	$107520$	$2.142475$	$1743150672675771875209/982591926935062500$	$1.02129$	$5.45991$	$[1, 1, 0, -250728, 7679628]$	$y^2+xy=x^3+x^2-250728x+7679628$	2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 120.24.0.?, 148.12.0.?, $\ldots$	$[]$
7770.c4	7770c1	7770.c	7770c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{4} \cdot 3^{7} \cdot 5^{12} \cdot 7^{2} \cdot 37 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$4440$	$48$	$0$	$1$	$1$		$1$	$53760$	$1.795902$	$26066799717473124791/15488402343750000$	$1.00744$	$4.99074$	$[1, 1, 0, 61772, 992128]$	$y^2+xy=x^3+x^2+61772x+992128$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$	$[]$
7770.d1	7770d1	7770.d	7770d	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{22} \cdot 3 \cdot 5 \cdot 7 \cdot 37^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$15540$	$2$	$0$	$1$	$1$		$0$	$31680$	$1.358349$	$-1259463573132482089/22307678453760$	$0.95431$	$4.65587$	$[1, 1, 0, -22498, -1328012]$	$y^2+xy=x^3+x^2-22498x-1328012$	15540.2.0.?	$[]$
7770.e1	7770e1	7770.e	7770e	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{18} \cdot 3 \cdot 5^{9} \cdot 7^{7} \cdot 37 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$15540$	$2$	$0$	$1$	$1$		$0$	$326592$	$2.453274$	$-1922206784037612409/46803595776000000000$	$1.06852$	$5.88827$	$[1, 1, 0, -25903, -329167643]$	$y^2+xy=x^3+x^2-25903x-329167643$	15540.2.0.?	$[]$
7770.f1	7770g2	7770.f	7770g	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{16} \cdot 3^{14} \cdot 5^{2} \cdot 7 \cdot 37^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$3108$	$12$	$0$	$1$	$1$		$0$	$573440$	$2.891747$	$25306840319912277316429470841/75096378453196800$	$1.03060$	$7.30081$	$[1, 1, 0, -61165247, 184096317381]$	$y^2+xy=x^3+x^2-61165247x+184096317381$	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[]$
7770.f2	7770g1	7770.f	7770g	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{32} \cdot 3^{7} \cdot 5^{4} \cdot 7^{2} \cdot 37 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$3108$	$12$	$0$	$1$	$1$		$1$	$286720$	$2.545170$	$-6170768047181777430174841/10643549045391360000$	$1.00986$	$6.37248$	$[1, 1, 0, -3821247, 2877808581]$	$y^2+xy=x^3+x^2-3821247x+2877808581$	2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.?	$[]$
7770.g1	7770f2	7770.g	7770f	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{3} \cdot 3^{14} \cdot 5 \cdot 7^{2} \cdot 37^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$0$	$21504$	$1.235558$	$74533948968883321/12833853739560$	$0.94396$	$4.33690$	$[1, 1, 0, -8767, 261181]$	$y^2+xy=x^3+x^2-8767x+261181$	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
7770.g2	7770f1	7770.g	7770f	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{6} \cdot 3^{7} \cdot 5^{2} \cdot 7^{4} \cdot 37 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$10752$	$0.888984$	$121721586383879/310858430400$	$0.92672$	$3.75757$	$[1, 1, 0, 1033, 24021]$	$y^2+xy=x^3+x^2+1033x+24021$	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[]$
7770.h1	7770h1	7770.h	7770h	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{2} \cdot 3^{3} \cdot 5 \cdot 7^{3} \cdot 37 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$15540$	$2$	$0$	$1$	$1$		$0$	$2880$	$0.136331$	$-789145184521/6853140$	$0.86208$	$3.05973$	$[1, 1, 0, -192, -1116]$	$y^2+xy=x^3+x^2-192x-1116$	15540.2.0.?	$[]$
7770.i1	7770i4	7770.i	7770i	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{3} \cdot 3 \cdot 5^{12} \cdot 7 \cdot 37 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$31080$	$48$	$0$	$1.125023908$	$1$		$4$	$23040$	$1.305471$	$4149383532674367961/1517578125000$	$0.95943$	$4.78560$	$[1, 1, 0, -33477, 2342949]$	$y^2+xy=x^3+x^2-33477x+2342949$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[(113, 81)]$
7770.i2	7770i3	7770.i	7770i	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{3} \cdot 3 \cdot 5^{3} \cdot 7^{4} \cdot 37^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$31080$	$48$	$0$	$1.125023908$	$1$		$6$	$23040$	$1.305471$	$582352317110836441/13499581683000$	$0.95073$	$4.56639$	$[1, 1, 0, -17397, -872619]$	$y^2+xy=x^3+x^2-17397x-872619$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(-73, 159)]$
7770.i3	7770i2	7770.i	7770i	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 37^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$31080$	$48$	$0$	$0.562511954$	$1$		$14$	$11520$	$0.958899$	$1524090939076441/603729000000$	$0.93191$	$3.90267$	$[1, 1, 0, -2397, 24381]$	$y^2+xy=x^3+x^2-2397x+24381$	2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0-2.a.1.1, 120.24.0.?, 1036.12.0.?, $\ldots$	$[(2, 139)]$
7770.i4	7770i1	7770.i	7770i	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{12} \cdot 3^{4} \cdot 5^{3} \cdot 7 \cdot 37 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$31080$	$48$	$0$	$1.125023908$	$1$		$5$	$5760$	$0.612325$	$12421081408679/10741248000$	$0.90575$	$3.36574$	$[1, 1, 0, 483, 3069]$	$y^2+xy=x^3+x^2+483x+3069$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.6, 120.24.0.?, $\ldots$	$[(3, 66)]$
7770.j1	7770j2	7770.j	7770j	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{3} \cdot 3^{2} \cdot 5^{3} \cdot 7 \cdot 37^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.2	3B.1.2	$31080$	$16$	$0$	$1$	$1$		$0$	$9504$	$0.758803$	$-4437543642183289/3191139000$	$0.92426$	$4.02211$	$[1, 0, 1, -3424, -77434]$	$y^2+xy+y=x^3-3424x-77434$	3.8.0-3.a.1.1, 10360.2.0.?, 31080.16.0.?	$[]$
7770.j2	7770j1	7770.j	7770j	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2 \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 37 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.1	3B.1.1	$31080$	$16$	$0$	$1$	$1$		$2$	$3168$	$0.209497$	$7892485271/92517390$	$0.87664$	$2.87418$	$[1, 0, 1, 41, -448]$	$y^2+xy+y=x^3+41x-448$	3.8.0-3.a.1.2, 10360.2.0.?, 31080.16.0.?	$[]$
7770.k1	7770k1	7770.k	7770k	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{4} \cdot 3^{3} \cdot 5^{5} \cdot 7^{11} \cdot 37 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$15540$	$2$	$0$	$1$	$1$		$0$	$147840$	$2.196613$	$-138737302436738811629881/98767470812850000$	$1.04899$	$5.94864$	$[1, 0, 1, -1078508, -431459782]$	$y^2+xy+y=x^3-1078508x-431459782$	15540.2.0.?	$[]$
7770.l1	7770l2	7770.l	7770l	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2 \cdot 3^{6} \cdot 5 \cdot 7 \cdot 37^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$31080$	$12$	$0$	$0.681609079$	$1$		$6$	$3840$	$0.309170$	$4844824797961/69860070$	$0.87751$	$3.26064$	$[1, 0, 1, -353, 2486]$	$y^2+xy+y=x^3-353x+2486$	2.3.0.a.1, 280.6.0.?, 444.6.0.?, 31080.12.0.?	$[(12, -2)]$
7770.l2	7770l1	7770.l	7770l	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 37 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$31080$	$12$	$0$	$0.340804539$	$1$		$9$	$1920$	$-0.037404$	$-1771561/4895100$	$1.00322$	$2.55175$	$[1, 0, 1, -3, 106]$	$y^2+xy+y=x^3-3x+106$	2.3.0.a.1, 222.6.0.?, 280.6.0.?, 31080.12.0.?	$[(2, 9)]$
7770.m1	7770o1	7770.m	7770o	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{9} \cdot 3^{10} \cdot 5^{3} \cdot 7 \cdot 37 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$10360$	$2$	$0$	$0.644582921$	$1$		$4$	$12960$	$0.981423$	$64148915349791/978796224000$	$0.94594$	$3.90997$	$[1, 1, 1, 834, -46341]$	$y^2+xy+y=x^3+x^2+834x-46341$	10360.2.0.?	$[(61, 455)]$
7770.n1	7770n1	7770.n	7770n	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{2} \cdot 3^{11} \cdot 5 \cdot 7 \cdot 37 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$15540$	$2$	$0$	$2.661858378$	$1$		$2$	$3520$	$0.408988$	$1509398240111/917621460$	$0.91107$	$3.13046$	$[1, 1, 1, 239, 419]$	$y^2+xy+y=x^3+x^2+239x+419$	15540.2.0.?	$[(7, 46)]$
7770.o1	7770m2	7770.o	7770m	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{9} \cdot 3^{2} \cdot 5^{3} \cdot 7^{2} \cdot 37^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$4440$	$12$	$0$	$0.671442555$	$1$		$8$	$207360$	$2.399712$	$517425559361898728438440369/38638656000$	$1.02149$	$6.86657$	$[1, 1, 1, -16725331, 26320565969]$	$y^2+xy+y=x^3+x^2-16725331x+26320565969$	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(2333, 1164)]$
7770.o2	7770m1	7770.o	7770m	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{18} \cdot 3 \cdot 5^{6} \cdot 7^{4} \cdot 37 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$4440$	$12$	$0$	$0.335721277$	$1$		$11$	$103680$	$2.053139$	$-126323813482515646120369/1091629056000000$	$0.99826$	$5.93804$	$[1, 1, 1, -1045331, 410933969]$	$y^2+xy+y=x^3+x^2-1045331x+410933969$	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(569, 590)]$
7770.p1	7770p3	7770.p	7770p	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{2} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 37 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$31080$	$48$	$0$	$1$	$4$	$2$	$0$	$13312$	$0.799223$	$183607808836587409/5330220$	$0.94457$	$4.43754$	$[1, 1, 1, -11841, -500877]$	$y^2+xy+y=x^3+x^2-11841x-500877$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.5, 168.24.0.?, $\ldots$	$[]$
7770.p2	7770p4	7770.p	7770p	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{2} \cdot 3 \cdot 5^{4} \cdot 7 \cdot 37^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$31080$	$48$	$0$	$1$	$1$		$0$	$13312$	$0.799223$	$173078750185489/98393452500$	$0.95694$	$3.65982$	$[1, 1, 1, -1161, 1539]$	$y^2+xy+y=x^3+x^2-1161x+1539$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 28.12.0-4.c.1.1, 42.6.0.a.1, $\ldots$	$[]$
7770.p3	7770p2	7770.p	7770p	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 37^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$15540$	$48$	$0$	$1$	$1$		$2$	$6656$	$0.452650$	$45000254125009/241491600$	$0.89435$	$3.50944$	$[1, 1, 1, -741, -8037]$	$y^2+xy+y=x^3+x^2-741x-8037$	2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0-2.a.1.1, 84.24.0.?, 740.12.0.?, $\ldots$	$[]$
7770.p4	7770p1	7770.p	7770p	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{8} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 37 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$31080$	$48$	$0$	$1$	$1$		$1$	$3328$	$0.106076$	$-1027243729/26853120$	$0.87277$	$2.74419$	$[1, 1, 1, -21, -261]$	$y^2+xy+y=x^3+x^2-21x-261$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 28.12.0-4.c.1.2, 168.24.0.?, $\ldots$	$[]$
7770.q1	7770r4	7770.q	7770r	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2 \cdot 3 \cdot 5 \cdot 7^{8} \cdot 37 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$4440$	$48$	$0$	$1$	$4$	$2$	$0$	$10240$	$0.864545$	$23531588875176481/6398929110$	$0.93374$	$4.20820$	$[1, 1, 1, -5970, 175017]$	$y^2+xy+y=x^3+x^2-5970x+175017$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.5, 444.12.0.?, $\ldots$	$[]$
7770.q2	7770r3	7770.q	7770r	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2 \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 37^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$4440$	$48$	$0$	$1$	$1$		$0$	$10240$	$0.864545$	$2614441086442081/74385450090$	$0.92169$	$3.96291$	$[1, 1, 1, -2870, -58903]$	$y^2+xy+y=x^3+x^2-2870x-58903$	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.v.1.1, 888.24.0.?, 4440.48.0.?	$[]$
7770.q3	7770r2	7770.q	7770r	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 37^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$4440$	$48$	$0$	$1$	$1$		$2$	$5120$	$0.517971$	$8194759433281/2958272100$	$0.89433$	$3.31932$	$[1, 1, 1, -420, 1857]$	$y^2+xy+y=x^3+x^2-420x+1857$	2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.4, 444.24.0.?, 4440.48.0.?	$[]$
7770.q4	7770r1	7770.q	7770r	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{4} \cdot 3 \cdot 5^{4} \cdot 7^{2} \cdot 37 $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$4440$	$48$	$0$	$1$	$1$		$3$	$2560$	$0.171397$	$56578878719/54390000$	$0.85988$	$2.76388$	$[1, 1, 1, 80, 257]$	$y^2+xy+y=x^3+x^2+80x+257$	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.2, 222.6.0.?, 444.24.0.?, $\ldots$	$[]$
7770.r1	7770q1	7770.r	7770q	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{6} \cdot 3 \cdot 5^{5} \cdot 7 \cdot 37 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$15540$	$2$	$0$	$0.107978283$	$1$		$8$	$4800$	$0.320124$	$-2058561081361/155400000$	$0.87223$	$3.17879$	$[1, 1, 1, -265, 1655]$	$y^2+xy+y=x^3+x^2-265x+1655$	15540.2.0.?	$[(13, 18)]$
7770.s1	7770t1	7770.s	7770t	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{7} \cdot 3^{2} \cdot 5^{3} \cdot 7^{5} \cdot 37 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$10360$	$2$	$0$	$0.026084350$	$1$		$18$	$10080$	$0.829031$	$-548166867106321/89547696000$	$0.91496$	$3.81627$	$[1, 1, 1, -1705, 29975]$	$y^2+xy+y=x^3+x^2-1705x+29975$	10360.2.0.?	$[(-37, 228)]$
7770.t1	7770s1	7770.t	7770s	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{14} \cdot 3^{7} \cdot 5^{3} \cdot 7 \cdot 37^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$15540$	$2$	$0$	$0.175385703$	$1$		$8$	$141120$	$2.208004$	$3713102264066983114319/2174129434036224000$	$1.03224$	$5.54432$	$[1, 1, 1, 322605, 7793745]$	$y^2+xy+y=x^3+x^2+322605x+7793745$	15540.2.0.?	$[(3, 2958)]$
7770.u1	7770v1	7770.u	7770v	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 7 \cdot 37 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$15540$	$2$	$0$	$0.169013509$	$1$		$8$	$17280$	$1.169626$	$-4889878795573542289/10195794000$	$0.96016$	$4.80393$	$[1, 0, 0, -35361, 2556441]$	$y^2+xy=x^3-35361x+2556441$	15540.2.0.?	$[(108, -63)]$
7770.v1	7770u2	7770.v	7770u	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{7} \cdot 3^{10} \cdot 5 \cdot 7 \cdot 37^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$31080$	$12$	$0$	$0.208573723$	$1$		$12$	$17920$	$1.205961$	$1473328864410526369/362154602880$	$1.00996$	$4.67001$	$[1, 0, 0, -23706, 1402596]$	$y^2+xy=x^3-23706x+1402596$	2.3.0.a.1, 280.6.0.?, 444.6.0.?, 31080.12.0.?	$[(60, 414)]$
7770.v2	7770u1	7770.v	7770u	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{14} \cdot 3^{5} \cdot 5^{2} \cdot 7^{2} \cdot 37 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$31080$	$12$	$0$	$0.104286861$	$1$		$19$	$8960$	$0.859387$	$-246362173188769/180452966400$	$0.91817$	$3.79054$	$[1, 0, 0, -1306, 27236]$	$y^2+xy=x^3-1306x+27236$	2.3.0.a.1, 222.6.0.?, 280.6.0.?, 31080.12.0.?	$[(-4, 182)]$
7770.w1	7770w2	7770.w	7770w	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{3} \cdot 37^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$31080$	$12$	$0$	$7.902017696$	$1$		$0$	$23040$	$1.214794$	$43325247696520145329/169044120$	$0.96951$	$5.04746$	$[1, 0, 0, -73171, -7624375]$	$y^2+xy=x^3-73171x-7624375$	2.3.0.a.1, 280.6.0.?, 444.6.0.?, 31080.12.0.?	$[(2884/3, 32485/3)]$
7770.w2	7770w1	7770.w	7770w	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 37 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$31080$	$12$	$0$	$3.951008848$	$1$		$3$	$11520$	$0.868220$	$-10562417119034929/20894462400$	$0.92931$	$4.11915$	$[1, 0, 0, -4571, -119535]$	$y^2+xy=x^3-4571x-119535$	2.3.0.a.1, 222.6.0.?, 280.6.0.?, 31080.12.0.?	$[(168, 1881)]$
7770.x1	7770x3	7770.x	7770x	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 7^{12} \cdot 37 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$2072$	$48$	$0$	$1$	$4$	$2$	$0$	$172032$	$2.161209$	$453708028140282858480049/4148233774139700$	$1.00222$	$6.08078$	$[1, 0, 0, -1600851, -779732019]$	$y^2+xy=x^3-1600851x-779732019$	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.12, 74.6.0.?, 148.24.0.?, $\ldots$	$[]$
7770.x2	7770x4	7770.x	7770x	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{2} \cdot 3^{16} \cdot 5^{8} \cdot 7^{3} \cdot 37 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$2072$	$48$	$0$	$1$	$1$		$0$	$172032$	$2.161209$	$4996886158282752257329/853603025329687500$	$1.04407$	$5.57747$	$[1, 0, 0, -356171, 68656965]$	$y^2+xy=x^3-356171x+68656965$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 56.24.0-56.z.1.10, $\ldots$	$[]$
7770.x3	7770x2	7770.x	7770x	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 7^{6} \cdot 37^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$1036$	$48$	$0$	$1$	$1$		$2$	$86016$	$1.814636$	$118576942514303496049/10567243768410000$	$1.12514$	$5.15985$	$[1, 0, 0, -102351, -11600919]$	$y^2+xy=x^3-102351x-11600919$	2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.1, 148.24.0.?, 1036.48.0.?	$[]$
7770.x4	7770x1	7770.x	7770x	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{3} \cdot 37^{4} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$2072$	$48$	$0$	$1$	$1$		$3$	$43008$	$1.468063$	$40747002604639631/333246816403200$	$1.05534$	$4.55695$	$[1, 0, 0, 7169, -846055]$	$y^2+xy=x^3+7169x-846055$	2.3.0.a.1, 4.12.0-4.c.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, 296.24.0.?, $\ldots$	$[]$
7770.y1	7770ba2	7770.y	7770ba	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 $	$ - 2^{4} \cdot 3 \cdot 5^{3} \cdot 7^{3} \cdot 37^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.2	3B.1.2	$15540$	$16$	$0$	$0.410228049$	$1$		$4$	$10368$	$0.793745$	$-1114835073409/104243874000$	$0.94832$	$3.66497$	$[1, 0, 0, -216, -15600]$	$y^2+xy=x^3-216x-15600$	3.8.0-3.a.1.1, 15540.16.0.?	$[(86, 734)]$

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Elliptic curves over $\Q$
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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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