LMFDB - Elliptic curves over $\Q$ of conductor 11310

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

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Results (41 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	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
11310.a1	11310a1	11310.a	11310a	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ - 2^{3} \cdot 3^{3} \cdot 5^{4} \cdot 13 \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$9048$	$2$	$0$	$1.233682251$	$1$		$4$	$4032$	$0.175061$	$-53540005609/50895000$	$0.84443$	$2.75091$	$[1, 1, 0, -78, -468]$	$y^2+xy=x^3+x^2-78x-468$	9048.2.0.?	$[(11, 7)]$
11310.b1	11310b1	11310.b	11310b	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{4} \cdot 3^{4} \cdot 5 \cdot 13^{2} \cdot 29 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.3	2B	$45240$	$48$	$0$	$0.912744658$	$1$		$17$	$5632$	$0.320193$	$13701674594089/31758480$	$0.87579$	$3.24088$	$[1, 1, 0, -498, 4068]$	$y^2+xy=x^3+x^2-498x+4068$	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 290.6.0.?, 580.12.0.?, $\ldots$	$[(8, 22), (11, 3)]$
11310.b2	11310b2	11310.b	11310b	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13^{4} \cdot 29^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.5	2B	$45240$	$48$	$0$	$0.228186164$	$1$		$34$	$11264$	$0.666767$	$-3573857582569/21617820900$	$0.90482$	$3.35813$	$[1, 1, 0, -318, 7272]$	$y^2+xy=x^3+x^2-318x+7272$	2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 580.12.0.?, 1740.24.0.?, $\ldots$	$[(-9, 102), (-18, 96)]$
11310.c1	11310c3	11310.c	11310c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 13 \cdot 29^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$3016$	$48$	$0$	$0.988849977$	$1$		$20$	$49152$	$1.190741$	$64443098670429961/6032611833300$	$0.93266$	$4.14687$	$[1, 1, 0, -8352, -272484]$	$y^2+xy=x^3+x^2-8352x-272484$	2.3.0.a.1, 4.12.0-4.c.1.2, 26.6.0.b.1, 52.24.0-52.g.1.1, 232.24.0.?, $\ldots$	$[(-58, 174), (117, 549)]$
11310.c2	11310c2	11310.c	11310c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 29^{2} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$1508$	$48$	$0$	$0.988849977$	$1$		$32$	$24576$	$0.844167$	$703093388853961/115124490000$	$0.90787$	$3.66280$	$[1, 1, 0, -1852, 25216]$	$y^2+xy=x^3+x^2-1852x+25216$	2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.2, 116.24.0.?, 1508.48.0.?	$[(7, 109), (97, 829)]$
11310.c3	11310c1	11310.c	11310c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$3016$	$48$	$0$	$0.988849977$	$1$		$19$	$12288$	$0.497593$	$615882348586441/21715200$	$0.90301$	$3.64861$	$[1, 1, 0, -1772, 27984]$	$y^2+xy=x^3+x^2-1772x+27984$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$	$[(8, 116), (33, 66)]$
11310.c4	11310c4	11310.c	11310c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ - 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 13^{4} \cdot 29 $	$2$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$3016$	$48$	$0$	$0.988849977$	$1$		$40$	$49152$	$1.190741$	$4223169036960119/11647532812500$	$0.93901$	$3.99695$	$[1, 1, 0, 3368, 147364]$	$y^2+xy=x^3+x^2+3368x+147364$	2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 116.24.0.?, 3016.48.0.?	$[(-2, 376), (9, 418)]$
11310.d1	11310e3	11310.d	11310e	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{12} \cdot 3^{2} \cdot 5^{9} \cdot 13 \cdot 29^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$22620$	$96$	$1$	$9.917339935$	$1$		$1$	$642816$	$2.730236$	$8432523527010257294720569/556754628456000000000$	$1.00513$	$6.14930$	$[1, 0, 1, -4240444, 3163087226]$	$y^2+xy+y=x^3-4240444x+3163087226$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 116.6.0.?, 130.6.0.?, $\ldots$	$[(171945/11, 2655557/11)]$
11310.d2	11310e1	11310.d	11310e	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 13^{3} \cdot 29^{2} $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$22620$	$96$	$1$	$3.305779978$	$1$		$11$	$214272$	$2.180927$	$8023996232564328604273609/2693913066000$	$1.00392$	$6.14398$	$[1, 0, 1, -4170829, 3278200952]$	$y^2+xy+y=x^3-4170829x+3278200952$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 116.6.0.?, 130.6.0.?, $\ldots$	$[(1323, 8074)]$
11310.d3	11310e2	11310.d	11310e	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ - 2^{2} \cdot 3^{12} \cdot 5^{6} \cdot 13^{6} \cdot 29 $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$22620$	$96$	$1$	$1.652889989$	$1$		$16$	$428544$	$2.527500$	$-8020649220830773808798089/4649360115706312500$	$1.00393$	$6.14404$	$[1, 0, 1, -4170249, 3279158416]$	$y^2+xy+y=x^3-4170249x+3279158416$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 116.6.0.?, 260.6.0.?, $\ldots$	$[(11, 56856)]$
11310.d4	11310e4	11310.d	11310e	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ - 2^{6} \cdot 3^{4} \cdot 5^{18} \cdot 13^{2} \cdot 29^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$22620$	$96$	$1$	$4.958669967$	$1$		$2$	$1285632$	$3.076809$	$5006683449688877689783751/81509038330078125000000$	$1.03138$	$6.44709$	$[1, 0, 1, 3564036, 13489975162]$	$y^2+xy+y=x^3+3564036x+13489975162$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 116.6.0.?, 260.6.0.?, $\ldots$	$[(1649, 153615)]$
11310.e1	11310d3	11310.e	11310d	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2 \cdot 3^{4} \cdot 5^{12} \cdot 13 \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$15080$	$48$	$0$	$2.343280735$	$4$	$2$	$4$	$61440$	$1.740833$	$3833455222908263170009/14910644531250$	$0.97930$	$5.32473$	$[1, 0, 1, -326054, -71687698]$	$y^2+xy+y=x^3-326054x-71687698$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 52.12.0-4.c.1.1, 232.12.0.?, $\ldots$	$[(-330, 178)]$
11310.e2	11310d2	11310.e	11310d	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{2} \cdot 3^{8} \cdot 5^{6} \cdot 13^{2} \cdot 29^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$15080$	$48$	$0$	$1.171640367$	$1$		$12$	$30720$	$1.394260$	$978581759592931129/58281773062500$	$0.94578$	$4.43833$	$[1, 0, 1, -20684, -1086154]$	$y^2+xy+y=x^3-20684x-1086154$	2.6.0.a.1, 20.12.0-2.a.1.1, 52.12.0-2.a.1.1, 232.12.0.?, 260.24.0.?, $\ldots$	$[(-96, 178)]$
11310.e3	11310d1	11310.e	11310d	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{4} \cdot 3^{4} \cdot 5^{3} \cdot 13 \cdot 29^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$15080$	$48$	$0$	$0.585820183$	$1$		$9$	$15360$	$1.047686$	$6377838054073849/1489533786000$	$0.97160$	$3.89905$	$[1, 0, 1, -3864, 71062]$	$y^2+xy+y=x^3-3864x+71062$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 52.12.0-4.c.1.2, 130.6.0.?, $\ldots$	$[(20, 33)]$
11310.e4	11310d4	11310.e	11310d	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ - 2 \cdot 3^{16} \cdot 5^{3} \cdot 13^{4} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$15080$	$48$	$0$	$2.343280735$	$1$		$4$	$61440$	$1.740833$	$417152543917888871/8913566138987250$	$1.04940$	$4.73069$	$[1, 0, 1, 15566, -4479154]$	$y^2+xy+y=x^3+15566x-4479154$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 104.12.0.?, 232.12.0.?, $\ldots$	$[(154, 1178)]$
11310.f1	11310f1	11310.f	11310f	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{8} \cdot 3^{6} \cdot 5 \cdot 13 \cdot 29^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$7540$	$12$	$0$	$0.555505122$	$1$		$9$	$7680$	$0.642896$	$63812982460681/10201800960$	$0.89137$	$3.40571$	$[1, 0, 1, -833, 7796]$	$y^2+xy+y=x^3-833x+7796$	2.3.0.a.1, 116.6.0.?, 130.6.0.?, 7540.12.0.?	$[(27, 58)]$
11310.f2	11310f2	11310.f	11310f	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ - 2^{4} \cdot 3^{12} \cdot 5^{2} \cdot 13^{2} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$7540$	$12$	$0$	$0.277752561$	$1$		$12$	$15360$	$0.989470$	$363979050334199/1041836936400$	$0.92536$	$3.73933$	$[1, 0, 1, 1487, 43988]$	$y^2+xy+y=x^3+1487x+43988$	2.3.0.a.1, 116.6.0.?, 260.6.0.?, 7540.12.0.?	$[(7, 230)]$
11310.g1	11310g1	11310.g	11310g	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ - 2^{5} \cdot 3 \cdot 5^{4} \cdot 13 \cdot 29^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$9048$	$2$	$0$	$1$	$1$		$0$	$49600$	$1.445541$	$-13611534355369215721/15998696220000$	$0.95680$	$4.72060$	$[1, 0, 1, -49743, 4270306]$	$y^2+xy+y=x^3-49743x+4270306$	9048.2.0.?	$[]$
11310.h1	11310h1	11310.h	11310h	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{20} \cdot 3^{4} \cdot 5^{3} \cdot 13^{2} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.3	2B	$45240$	$48$	$0$	$0.587084598$	$1$		$9$	$38400$	$1.323954$	$100654290922421809/52033093632000$	$0.95863$	$4.19464$	$[1, 1, 1, -9691, -123991]$	$y^2+xy+y=x^3+x^2-9691x-123991$	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 290.6.0.?, 580.12.0.?, $\ldots$	$[(-77, 454)]$
11310.h2	11310h2	11310.h	11310h	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ - 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 13^{4} \cdot 29^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.5	2B	$45240$	$48$	$0$	$0.293542299$	$1$		$12$	$76800$	$1.670528$	$5328847957372469711/3458851344000000$	$0.97787$	$4.61991$	$[1, 1, 1, 36389, -916567]$	$y^2+xy+y=x^3+x^2+36389x-916567$	2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 580.12.0.?, 1740.24.0.?, $\ldots$	$[(119, 2202)]$
11310.i1	11310i4	11310.i	11310i	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2 \cdot 3^{5} \cdot 5^{3} \cdot 13 \cdot 29^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$1560$	$48$	$0$	$1$	$4$	$2$	$0$	$414720$	$2.450428$	$8351005675201800382877041/395069604635949750$	$1.00404$	$6.14826$	$[1, 1, 1, -4226735, 3342790415]$	$y^2+xy+y=x^3+x^2-4226735x+3342790415$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.5, 156.12.0.?, $\ldots$	$[]$
11310.i2	11310i3	11310.i	11310i	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2 \cdot 3^{20} \cdot 5^{3} \cdot 13^{4} \cdot 29^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$1560$	$48$	$0$	$1$	$1$		$0$	$414720$	$2.450428$	$259734139401368855237041/20937966860481050250$	$0.99497$	$5.77643$	$[1, 1, 1, -1329235, -547792585]$	$y^2+xy+y=x^3+x^2-1329235x-547792585$	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.v.1.1, 312.24.0.?, 1560.48.0.?	$[]$
11310.i3	11310i2	11310.i	11310i	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{2} \cdot 3^{10} \cdot 5^{6} \cdot 13^{2} \cdot 29^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$1560$	$48$	$0$	$1$	$1$		$2$	$207360$	$2.103855$	$2375679751819859057041/441134740310062500$	$0.98132$	$5.27346$	$[1, 1, 1, -277985, 46373915]$	$y^2+xy+y=x^3+x^2-277985x+46373915$	2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.4, 156.24.0.?, 1560.48.0.?	$[]$
11310.i4	11310i1	11310.i	11310i	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ - 2^{4} \cdot 3^{5} \cdot 5^{12} \cdot 13 \cdot 29^{2} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$1560$	$48$	$0$	$1$	$1$		$3$	$103680$	$1.757280$	$4547226203385942959/10377808593750000$	$0.97064$	$4.71859$	$[1, 1, 1, 34515, 4248915]$	$y^2+xy+y=x^3+x^2+34515x+4248915$	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.2, 78.6.0.?, 156.24.0.?, $\ldots$	$[]$
11310.j1	11310j5	11310.j	11310j	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 13^{8} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.55	2B	$30160$	$192$	$1$	$2.636485742$	$1$		$2$	$163840$	$2.040497$	$217764763259392950709681/191615146362900$	$0.99303$	$5.75754$	$[1, 1, 1, -1253395, -540629155]$	$y^2+xy+y=x^3+x^2-1253395x-540629155$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 40.48.0-40.cb.1.11, 58.6.0.a.1, $\ldots$	$[(1423, 22948)]$
11310.j2	11310j3	11310.j	11310j	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13^{4} \cdot 29^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.6	2Cs	$15080$	$192$	$1$	$1.318242871$	$1$		$8$	$81920$	$1.693924$	$54309086480107021681/1575939143610000$	$0.96324$	$4.86865$	$[1, 1, 1, -78895, -8345755]$	$y^2+xy+y=x^3+x^2-78895x-8345755$	2.6.0.a.1, 4.24.0-4.b.1.1, 40.48.0-40.i.2.7, 104.48.0.?, 116.48.0.?, $\ldots$	$[(-167, 538)]$
11310.j3	11310j2	11310.j	11310j	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 13^{2} \cdot 29^{4} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$15080$	$192$	$1$	$2.636485742$	$1$		$12$	$40960$	$1.347351$	$173294065906331761/61964605497600$	$0.94665$	$4.25285$	$[1, 1, 1, -11615, 292997]$	$y^2+xy+y=x^3+x^2-11615x+292997$	2.6.0.a.1, 4.24.0-4.b.1.3, 40.48.0-40.i.1.9, 104.48.0.?, 232.48.0.?, $\ldots$	$[(-9, 634)]$
11310.j4	11310j1	11310.j	11310j	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{16} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29^{2} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.45	2B	$30160$	$192$	$1$	$1.318242871$	$1$		$9$	$20480$	$1.000776$	$122083727651299441/32242728960$	$0.93409$	$4.21532$	$[1, 1, 1, -10335, 400005]$	$y^2+xy+y=x^3+x^2-10335x+400005$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 80.48.0.?, 130.6.0.?, $\ldots$	$[(55, 14)]$
11310.j5	11310j6	11310.j	11310j	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ - 2^{2} \cdot 3^{16} \cdot 5^{8} \cdot 13^{2} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.55	2B	$30160$	$192$	$1$	$2.636485742$	$1$		$2$	$163840$	$2.040497$	$773618103830753999/329643718157812500$	$1.01774$	$5.12031$	$[1, 1, 1, 19125, -27596883]$	$y^2+xy+y=x^3+x^2+19125x-27596883$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 80.48.0.?, 104.48.0.?, $\ldots$	$[(587, 13356)]$
11310.j6	11310j4	11310.j	11310j	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ - 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29^{8} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.45	2B	$30160$	$192$	$1$	$5.272971485$	$1$		$4$	$81920$	$1.693924$	$4817210305461175439/4682306425314960$	$0.96773$	$4.60910$	$[1, 1, 1, 35185, 2108837]$	$y^2+xy+y=x^3+x^2+35185x+2108837$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 40.48.0-40.cb.2.7, 104.48.0.?, $\ldots$	$[(251, 5054)]$
11310.k1	11310k3	11310.k	11310k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{5} \cdot 3^{12} \cdot 5^{4} \cdot 13 \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$45240$	$48$	$0$	$0.853630883$	$1$		$6$	$38400$	$1.437426$	$29981943972267024529/4007065140000$	$0.96020$	$4.80499$	$[1, 0, 0, -64721, -6342135]$	$y^2+xy=x^3-64721x-6342135$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 120.24.0.?, 1508.12.0.?, $\ldots$	$[(-146, 91)]$
11310.k2	11310k4	11310.k	11310k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{5} \cdot 3^{3} \cdot 5 \cdot 13^{4} \cdot 29^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$45240$	$48$	$0$	$0.853630883$	$1$		$6$	$38400$	$1.437426$	$1943993954077461649/87266819409120$	$0.99226$	$4.51187$	$[1, 0, 0, -26001, 1547721]$	$y^2+xy=x^3-26001x+1547721$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[(150, 939)]$
11310.k3	11310k2	11310.k	11310k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \cdot 29^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$45240$	$48$	$0$	$0.426815441$	$1$		$18$	$19200$	$1.090853$	$9427227449071249/2652468249600$	$0.98733$	$3.94092$	$[1, 0, 0, -4401, -80919]$	$y^2+xy=x^3-4401x-80919$	2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, 1508.12.0.?, $\ldots$	$[(-42, 195)]$
11310.k4	11310k1	11310.k	11310k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ - 2^{20} \cdot 3^{3} \cdot 5 \cdot 13 \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$45240$	$48$	$0$	$0.853630883$	$1$		$7$	$9600$	$0.744278$	$41102915774831/53367275520$	$0.96949$	$3.38194$	$[1, 0, 0, 719, -8215]$	$y^2+xy=x^3+719x-8215$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(26, 155)]$
11310.l1	11310l1	11310.l	11310l	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ - 2 \cdot 3 \cdot 5^{8} \cdot 13^{3} \cdot 29 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$9048$	$2$	$0$	$1$	$1$		$0$	$14976$	$0.828556$	$74082708125999/149327343750$	$0.91161$	$3.51914$	$[1, 0, 0, 875, -15625]$	$y^2+xy=x^3+875x-15625$	9048.2.0.?	$[]$
11310.m1	11310n3	11310.m	11310n	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{3} \cdot 3^{3} \cdot 5^{3} \cdot 13^{8} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$3480$	$48$	$0$	$1.476104120$	$4$	$2$	$6$	$276480$	$2.286785$	$8057323694463985606146481/638717154543000$	$1.00393$	$6.14442$	$[1, 0, 0, -4176595, -3285697975]$	$y^2+xy=x^3-4176595x-3285697975$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.14, 580.12.0.?, $\ldots$	$[(-1180, 605)]$
11310.m2	11310n2	11310.m	11310n	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 13^{4} \cdot 29^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$3480$	$48$	$0$	$0.738052060$	$1$		$16$	$138240$	$1.940212$	$1979758117698975186481/17510434929000000$	$0.97703$	$5.25393$	$[1, 0, 0, -261595, -51124975]$	$y^2+xy=x^3-261595x-51124975$	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.4, 580.24.0.?, 3480.48.0.?	$[(-310, 605)]$
11310.m3	11310n4	11310.m	11310n	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ - 2^{3} \cdot 3^{3} \cdot 5^{12} \cdot 13^{2} \cdot 29^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$3480$	$48$	$0$	$0.369026030$	$1$		$8$	$276480$	$2.286785$	$-54681655838565466801/6303365630859375000$	$1.01787$	$5.43715$	$[1, 0, 0, -79075, -121103143]$	$y^2+xy=x^3-79075x-121103143$	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.v.1.1, 1160.24.0.?, 3480.48.0.?	$[(584, 5363)]$
11310.m4	11310n1	11310.m	11310n	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{12} \cdot 3^{12} \cdot 5^{3} \cdot 13^{2} \cdot 29 $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$3480$	$48$	$0$	$0.369026030$	$1$		$21$	$69120$	$1.593639$	$2510581756496128561/1333551278592000$	$0.97643$	$4.53927$	$[1, 0, 0, -28315, 523217]$	$y^2+xy=x^3-28315x+523217$	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.4, 290.6.0.?, 580.24.0.?, $\ldots$	$[(14, 353)]$
11310.n1	11310m1	11310.n	11310m	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ 2^{8} \cdot 3^{2} \cdot 5 \cdot 13^{3} \cdot 29^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$7540$	$12$	$0$	$1$	$1$		$1$	$13824$	$0.761063$	$764579942079121/21285239040$	$0.90501$	$3.67178$	$[1, 0, 0, -1905, -31383]$	$y^2+xy=x^3-1905x-31383$	2.3.0.a.1, 116.6.0.?, 130.6.0.?, 7540.12.0.?	$[]$
11310.n2	11310m2	11310.n	11310m	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 $	$ - 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 13^{6} \cdot 29 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$7540$	$12$	$0$	$1$	$1$		$0$	$27648$	$1.107635$	$7903193128559/4535269736400$	$0.97513$	$3.92102$	$[1, 0, 0, 415, -102375]$	$y^2+xy=x^3+415x-102375$	2.3.0.a.1, 116.6.0.?, 260.6.0.?, 7540.12.0.?	$[]$

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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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