LMFDB - Elliptic curve search results

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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

Galois image	Adelic level	Adelic index	Adelic genus

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

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Results (42 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	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
1056.e3	1056g1	1056.e	1056g	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11 $	$ 2^{6} \cdot 3^{10} \cdot 11^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.4	2Cs	$24$	$48$	$0$	$5.553258866$	$1$		$5$	$1920$	$1.117205$	$13015685560572352/864536409$	$1.06444$	$5.92680$	$[0, -1, 0, -19602, -1049760]$	$y^2=x^3-x^2-19602x-1049760$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 12.24.0-12.a.1.1, 24.48.0-24.f.1.3	$[(24219, 3768930)]$
1056.j3	1056d1	1056.j	1056d	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11 $	$ 2^{6} \cdot 3^{10} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.3	2Cs	$24$	$48$	$0$	$1$	$1$		$3$	$1920$	$1.117205$	$13015685560572352/864536409$	$1.06444$	$5.92680$	$[0, 1, 0, -19602, 1049760]$	$y^2=x^3+x^2-19602x+1049760$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 12.24.0-12.a.1.2, 24.48.0-24.f.1.2	$[ ]$
2112.f2	2112h2	2112.f	2112h	$4$	$4$	$ 2^{6} \cdot 3 \cdot 11 $	$ 2^{12} \cdot 3^{10} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.4	2Cs	$24$	$48$	$0$	$1$	$1$		$3$	$7680$	$1.463779$	$13015685560572352/864536409$	$1.06444$	$5.93343$	$[0, -1, 0, -78409, 8476489]$	$y^2=x^3-x^2-78409x+8476489$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 12.24.0-12.a.1.3, 24.48.0-24.f.1.8	$[ ]$
2112.q2	2112n2	2112.q	2112n	$4$	$4$	$ 2^{6} \cdot 3 \cdot 11 $	$ 2^{12} \cdot 3^{10} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.3	2Cs	$24$	$48$	$0$	$1$	$1$		$3$	$7680$	$1.463779$	$13015685560572352/864536409$	$1.06444$	$5.93343$	$[0, 1, 0, -78409, -8476489]$	$y^2=x^3+x^2-78409x-8476489$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 12.24.0-12.a.1.3, 24.48.0-24.f.1.5	$[ ]$
3168.a3	3168i1	3168.a	3168i	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 11 $	$ 2^{6} \cdot 3^{16} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.6	2Cs	$24$	$48$	$0$	$1$	$1$		$3$	$15360$	$1.666512$	$13015685560572352/864536409$	$1.06444$	$5.93678$	$[0, 0, 0, -176421, 28519940]$	$y^2=x^3-176421x+28519940$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 12.24.0-12.a.1.2, 24.48.0-24.f.1.1	$[ ]$
3168.e3	3168z1	3168.e	3168z	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 11 $	$ 2^{6} \cdot 3^{16} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.6	2Cs	$24$	$48$	$0$	$1$	$4$	$2$	$3$	$15360$	$1.666512$	$13015685560572352/864536409$	$1.06444$	$5.93678$	$[0, 0, 0, -176421, -28519940]$	$y^2=x^3-176421x-28519940$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 12.24.0-12.a.1.1, 24.48.0-24.f.1.4	$[ ]$
6336.by2	6336bb2	6336.by	6336bb	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 11 $	$ 2^{12} \cdot 3^{16} \cdot 11^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.8	2Cs	$24$	$48$	$0$	$2.407117176$	$1$		$7$	$61440$	$2.013084$	$13015685560572352/864536409$	$1.06444$	$5.94178$	$[0, 0, 0, -705684, 228159520]$	$y^2=x^3-705684x+228159520$	2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.b.1.4, 12.24.0-12.a.1.4, 24.48.0-24.f.1.7	$[(438, 1760)]$
6336.ci2	6336n2	6336.ci	6336n	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 11 $	$ 2^{12} \cdot 3^{16} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.8	2Cs	$24$	$48$	$0$	$1$	$9$	$3$	$3$	$61440$	$2.013084$	$13015685560572352/864536409$	$1.06444$	$5.94178$	$[0, 0, 0, -705684, -228159520]$	$y^2=x^3-705684x-228159520$	2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.b.1.4, 12.24.0-12.a.1.4, 24.48.0-24.f.1.6	$[ ]$
11616.n3	11616d1	11616.n	11616d	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{6} \cdot 3^{10} \cdot 11^{10} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$264$	$48$	$0$	$1$	$9$	$3$	$3$	$230400$	$2.316154$	$13015685560572352/864536409$	$1.06444$	$5.94555$	$[0, -1, 0, -2371882, 1406718040]$	$y^2=x^3-x^2-2371882x+1406718040$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$	$[ ]$
11616.ba3	11616bb1	11616.ba	11616bb	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{6} \cdot 3^{10} \cdot 11^{10} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$264$	$48$	$0$	$1$	$4$	$2$	$3$	$230400$	$2.316154$	$13015685560572352/864536409$	$1.06444$	$5.94555$	$[0, 1, 0, -2371882, -1406718040]$	$y^2=x^3+x^2-2371882x-1406718040$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$	$[ ]$
23232.i2	23232v2	23232.i	23232v	$4$	$4$	$ 2^{6} \cdot 3 \cdot 11^{2} $	$ 2^{12} \cdot 3^{10} \cdot 11^{10} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$264$	$48$	$0$	$1$	$1$		$3$	$921600$	$2.662727$	$13015685560572352/864536409$	$1.06444$	$5.94931$	$[0, -1, 0, -9487529, -11244256791]$	$y^2=x^3-x^2-9487529x-11244256791$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$	$[ ]$
23232.cp2	23232cf2	23232.cp	23232cf	$4$	$4$	$ 2^{6} \cdot 3 \cdot 11^{2} $	$ 2^{12} \cdot 3^{10} \cdot 11^{10} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$264$	$48$	$0$	$2.738382911$	$1$		$7$	$921600$	$2.662727$	$13015685560572352/864536409$	$1.06444$	$5.94931$	$[0, 1, 0, -9487529, 11244256791]$	$y^2=x^3+x^2-9487529x+11244256791$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$	$[(1735, 3024)]$
26400.a3	26400bg1	26400.a	26400bg	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 11 $	$ 2^{6} \cdot 3^{10} \cdot 5^{6} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$120$	$48$	$0$	$1$	$1$		$3$	$245760$	$1.921925$	$13015685560572352/864536409$	$1.06444$	$5.00146$	$[0, -1, 0, -490058, 132200112]$	$y^2=x^3-x^2-490058x+132200112$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 24.24.0.f.1, $\ldots$	$[ ]$
26400.cf3	26400x1	26400.cf	26400x	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 11 $	$ 2^{6} \cdot 3^{10} \cdot 5^{6} \cdot 11^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$120$	$48$	$0$	$2.185134831$	$1$		$9$	$245760$	$1.921925$	$13015685560572352/864536409$	$1.06444$	$5.00146$	$[0, 1, 0, -490058, -132200112]$	$y^2=x^3+x^2-490058x-132200112$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 24.24.0.f.1, $\ldots$	$[(1798, 69300)]$
34848.j3	34848bb1	34848.j	34848bb	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 11^{2} $	$ 2^{6} \cdot 3^{16} \cdot 11^{10} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$264$	$48$	$0$	$9.552677912$	$1$		$5$	$1843200$	$2.865459$	$13015685560572352/864536409$	$1.06444$	$5.95127$	$[0, 0, 0, -21346941, 37960040140]$	$y^2=x^3-21346941x+37960040140$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$	$[(43052, 8883396)]$
34848.u3	34848cf1	34848.u	34848cf	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 11^{2} $	$ 2^{6} \cdot 3^{16} \cdot 11^{10} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$264$	$48$	$0$	$1$	$16$	$2$	$3$	$1843200$	$2.865459$	$13015685560572352/864536409$	$1.06444$	$5.95127$	$[0, 0, 0, -21346941, -37960040140]$	$y^2=x^3-21346941x-37960040140$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$	$[ ]$
51744.h3	51744k1	51744.h	51744k	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 $	$ 2^{6} \cdot 3^{10} \cdot 7^{6} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$168$	$48$	$0$	$1$	$1$		$3$	$552960$	$2.090160$	$13015685560572352/864536409$	$1.06444$	$4.87737$	$[0, -1, 0, -960514, -361988696]$	$y^2=x^3-x^2-960514x-361988696$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.1, $\ldots$	$[ ]$
51744.bv3	51744cq1	51744.bv	51744cq	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 $	$ 2^{6} \cdot 3^{10} \cdot 7^{6} \cdot 11^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$168$	$48$	$0$	$0.832106940$	$1$		$13$	$552960$	$2.090160$	$13015685560572352/864536409$	$1.06444$	$4.87737$	$[0, 1, 0, -960514, 361988696]$	$y^2=x^3+x^2-960514x+361988696$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.1, $\ldots$	$[(485, 3234)]$
52800.ds2	52800t2	52800.ds	52800t	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 $	$ 2^{12} \cdot 3^{10} \cdot 5^{6} \cdot 11^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$120$	$48$	$0$	$11.66076111$	$1$		$3$	$983040$	$2.268497$	$13015685560572352/864536409$	$1.06444$	$5.06511$	$[0, -1, 0, -1960233, -1055640663]$	$y^2=x^3-x^2-1960233x-1055640663$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 24.24.0.f.1, $\ldots$	$[(-3013168/61, 52271975/61)]$
52800.eb2	52800dh2	52800.eb	52800dh	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 $	$ 2^{12} \cdot 3^{10} \cdot 5^{6} \cdot 11^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$120$	$48$	$0$	$0.431096287$	$1$		$21$	$983040$	$2.268497$	$13015685560572352/864536409$	$1.06444$	$5.06511$	$[0, 1, 0, -1960233, 1055640663]$	$y^2=x^3+x^2-1960233x+1055640663$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 24.24.0.f.1, $\ldots$	$[(858, 2475)]$
69696.fg2	69696cn2	69696.fg	69696cn	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 11^{2} $	$ 2^{12} \cdot 3^{16} \cdot 11^{10} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$264$	$48$	$0$	$12.12653433$	$1$		$3$	$7372800$	$3.212032$	$13015685560572352/864536409$	$1.06444$	$5.95430$	$[0, 0, 0, -85387764, 303680321120]$	$y^2=x^3-85387764x+303680321120$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.2, $\ldots$	$[(1860230/19, 154432240/19)]$
69696.gg2	69696ck2	69696.gg	69696ck	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 11^{2} $	$ 2^{12} \cdot 3^{16} \cdot 11^{10} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$264$	$48$	$0$	$45.08412462$	$1$		$3$	$7372800$	$3.212032$	$13015685560572352/864536409$	$1.06444$	$5.95430$	$[0, 0, 0, -85387764, -303680321120]$	$y^2=x^3-85387764x-303680321120$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.2, $\ldots$	$[(-1187618151342693063880/470834569, 322299297186823375973698145400/470834569)]$
79200.m3	79200bv1	79200.m	79200bv	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 11 $	$ 2^{6} \cdot 3^{16} \cdot 5^{6} \cdot 11^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$120$	$48$	$0$	$7.237658612$	$1$		$5$	$1966080$	$2.471230$	$13015685560572352/864536409$	$1.06444$	$5.09871$	$[0, 0, 0, -4410525, -3564992500]$	$y^2=x^3-4410525x-3564992500$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 24.24.0.f.1, $\ldots$	$[(176995, 74457900)]$
79200.ek3	79200dq1	79200.ek	79200dq	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 11 $	$ 2^{6} \cdot 3^{16} \cdot 5^{6} \cdot 11^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$120$	$48$	$0$	$7.555580557$	$1$		$5$	$1966080$	$2.471230$	$13015685560572352/864536409$	$1.06444$	$5.09871$	$[0, 0, 0, -4410525, 3564992500]$	$y^2=x^3-4410525x+3564992500$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 24.24.0.f.1, $\ldots$	$[(40895, 8259300)]$
103488.dh2	103488t2	103488.dh	103488t	$4$	$4$	$ 2^{6} \cdot 3 \cdot 7^{2} \cdot 11 $	$ 2^{12} \cdot 3^{10} \cdot 7^{6} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$168$	$48$	$0$	$1$	$1$		$3$	$2211840$	$2.436733$	$13015685560572352/864536409$	$1.06444$	$4.94476$	$[0, -1, 0, -3842057, 2899751625]$	$y^2=x^3-x^2-3842057x+2899751625$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.1, $\ldots$	$[ ]$
103488.id2	103488dx2	103488.id	103488dx	$4$	$4$	$ 2^{6} \cdot 3 \cdot 7^{2} \cdot 11 $	$ 2^{12} \cdot 3^{10} \cdot 7^{6} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$168$	$48$	$0$	$1$	$1$		$3$	$2211840$	$2.436733$	$13015685560572352/864536409$	$1.06444$	$4.94476$	$[0, 1, 0, -3842057, -2899751625]$	$y^2=x^3+x^2-3842057x-2899751625$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.1, $\ldots$	$[ ]$
155232.dt3	155232eb1	155232.dt	155232eb	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 11 $	$ 2^{6} \cdot 3^{16} \cdot 7^{6} \cdot 11^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$168$	$48$	$0$	$27.67610451$	$1$		$3$	$4423680$	$2.639465$	$13015685560572352/864536409$	$1.06444$	$4.98055$	$[0, 0, 0, -8644629, -9782339420]$	$y^2=x^3-8644629x-9782339420$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.1, $\ldots$	$[(14681093493920/65521, 7164318232305368190/65521)]$
155232.eh3	155232by1	155232.eh	155232by	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 11 $	$ 2^{6} \cdot 3^{16} \cdot 7^{6} \cdot 11^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$168$	$48$	$0$	$4.965963185$	$1$		$5$	$4423680$	$2.639465$	$13015685560572352/864536409$	$1.06444$	$4.98055$	$[0, 0, 0, -8644629, 9782339420]$	$y^2=x^3-8644629x+9782339420$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.1, $\ldots$	$[(2237, 40480)]$
158400.n2	158400kc2	158400.n	158400kc	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 $	$ 2^{12} \cdot 3^{16} \cdot 5^{6} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$120$	$48$	$0$	$1$	$1$		$3$	$7864320$	$2.817802$	$13015685560572352/864536409$	$1.06444$	$5.15089$	$[0, 0, 0, -17642100, -28519940000]$	$y^2=x^3-17642100x-28519940000$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.2, 24.24.0.f.1, $\ldots$	$[ ]$
158400.ol2	158400ne2	158400.ol	158400ne	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 $	$ 2^{12} \cdot 3^{16} \cdot 5^{6} \cdot 11^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$120$	$48$	$0$	$3.067217072$	$1$		$9$	$7864320$	$2.817802$	$13015685560572352/864536409$	$1.06444$	$5.15089$	$[0, 0, 0, -17642100, 28519940000]$	$y^2=x^3-17642100x+28519940000$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.2, 24.24.0.f.1, $\ldots$	$[(2500, 6300)]$
178464.j3	178464cg1	178464.j	178464cg	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11 \cdot 13^{2} $	$ 2^{6} \cdot 3^{10} \cdot 11^{4} \cdot 13^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$312$	$48$	$0$	$28.16116986$	$1$		$3$	$4423680$	$2.399681$	$13015685560572352/864536409$	$1.06444$	$4.68515$	$[0, -1, 0, -3312794, -2319573816]$	$y^2=x^3-x^2-3312794x-2319573816$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 52.12.0-2.a.1.1, $\ldots$	$[(14916239625429/82634, 16574256523304690301/82634)]$
178464.bq3	178464e1	178464.bq	178464e	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11 \cdot 13^{2} $	$ 2^{6} \cdot 3^{10} \cdot 11^{4} \cdot 13^{6} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$312$	$48$	$0$	$2.138151252$	$1$		$27$	$4423680$	$2.399681$	$13015685560572352/864536409$	$1.06444$	$4.68515$	$[0, 1, 0, -3312794, 2319573816]$	$y^2=x^3+x^2-3312794x+2319573816$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 52.12.0-2.a.1.1, $\ldots$	$[(940, 6084), (1066, 792)]$
290400.di3	290400di1	290400.di	290400di	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 11^{2} $	$ 2^{6} \cdot 3^{10} \cdot 5^{6} \cdot 11^{10} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$1320$	$48$	$0$	$1$	$16$	$2$	$3$	$29491200$	$3.120872$	$13015685560572352/864536409$	$1.06444$	$5.19181$	$[0, -1, 0, -59297058, -175721160888]$	$y^2=x^3-x^2-59297058x-175721160888$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 220.12.0.?, $\ldots$	$[ ]$
290400.dy3	290400dy1	290400.dy	290400dy	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 11^{2} $	$ 2^{6} \cdot 3^{10} \cdot 5^{6} \cdot 11^{10} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$1320$	$48$	$0$	$1$	$1$		$3$	$29491200$	$3.120872$	$13015685560572352/864536409$	$1.06444$	$5.19181$	$[0, 1, 0, -59297058, 175721160888]$	$y^2=x^3+x^2-59297058x+175721160888$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 220.12.0.?, $\ldots$	$[ ]$
305184.d3	305184d1	305184.d	305184d	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11 \cdot 17^{2} $	$ 2^{6} \cdot 3^{10} \cdot 11^{4} \cdot 17^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$408$	$48$	$0$	$1$	$1$		$3$	$9830400$	$2.533813$	$13015685560572352/864536409$	$1.06444$	$4.61356$	$[0, -1, 0, -5665074, 5191461144]$	$y^2=x^3-x^2-5665074x+5191461144$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 68.12.0-2.a.1.1, $\ldots$	$[ ]$
305184.bu3	305184bu1	305184.bu	305184bu	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11 \cdot 17^{2} $	$ 2^{6} \cdot 3^{10} \cdot 11^{4} \cdot 17^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$408$	$48$	$0$	$10.11825899$	$1$		$3$	$9830400$	$2.533813$	$13015685560572352/864536409$	$1.06444$	$4.61356$	$[0, 1, 0, -5665074, -5191461144]$	$y^2=x^3+x^2-5665074x-5191461144$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 68.12.0-2.a.1.1, $\ldots$	$[(1435740/11, 1682715216/11)]$
310464.cq2	310464cq2	310464.cq	310464cq	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 $	$ 2^{12} \cdot 3^{16} \cdot 7^{6} \cdot 11^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$168$	$48$	$0$	$3.730225358$	$1$		$9$	$17694720$	$2.986042$	$13015685560572352/864536409$	$1.06444$	$5.03643$	$[0, 0, 0, -34578516, 78258715360]$	$y^2=x^3-34578516x+78258715360$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.2, $\ldots$	$[(3318, 7448)]$
310464.ej2	310464ej2	310464.ej	310464ej	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 $	$ 2^{12} \cdot 3^{16} \cdot 7^{6} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$168$	$48$	$0$	$1$	$1$		$3$	$17694720$	$2.986042$	$13015685560572352/864536409$	$1.06444$	$5.03643$	$[0, 0, 0, -34578516, -78258715360]$	$y^2=x^3-34578516x-78258715360$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.2, $\ldots$	$[ ]$
356928.cz2	356928cz2	356928.cz	356928cz	$4$	$4$	$ 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} $	$ 2^{12} \cdot 3^{10} \cdot 11^{4} \cdot 13^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$312$	$48$	$0$	$8.519479538$	$1$		$3$	$17694720$	$2.746254$	$13015685560572352/864536409$	$1.06444$	$4.75643$	$[0, -1, 0, -13251177, 18569841705]$	$y^2=x^3-x^2-13251177x+18569841705$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 52.12.0-2.a.1.1, $\ldots$	$[(636221/17, 38768600/17)]$
356928.hx2	356928hx2	356928.hx	356928hx	$4$	$4$	$ 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} $	$ 2^{12} \cdot 3^{10} \cdot 11^{4} \cdot 13^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$312$	$48$	$0$	$5.160976710$	$1$		$5$	$17694720$	$2.746254$	$13015685560572352/864536409$	$1.06444$	$4.75643$	$[0, 1, 0, -13251177, -18569841705]$	$y^2=x^3+x^2-13251177x-18569841705$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 52.12.0-2.a.1.1, $\ldots$	$[(19053, 2577960)]$
381216.s3	381216s1	381216.s	381216s	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11 \cdot 19^{2} $	$ 2^{6} \cdot 3^{10} \cdot 11^{4} \cdot 19^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$456$	$48$	$0$	$58.54345205$	$1$		$3$	$13271040$	$2.589424$	$13015685560572352/864536409$	$1.06444$	$4.58563$	$[0, -1, 0, -7076442, -7242762240]$	$y^2=x^3-x^2-7076442x-7242762240$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 76.12.0.?, $\ldots$	$[(-196237454490579395409494024/356491044243, 12205972545918255566647029582475856300/356491044243)]$
381216.bh3	381216bh1	381216.bh	381216bh	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11 \cdot 19^{2} $	$ 2^{6} \cdot 3^{10} \cdot 11^{4} \cdot 19^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$456$	$48$	$0$	$1$	$1$		$3$	$13271040$	$2.589424$	$13015685560572352/864536409$	$1.06444$	$4.58563$	$[0, 1, 0, -7076442, 7242762240]$	$y^2=x^3+x^2-7076442x+7242762240$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 76.12.0.?, $\ldots$	$[ ]$

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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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