LMFDB - Elliptic curves over $\Q$ of conductor 4560

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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
4560.a1	4560q4	4560.a	4560q	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{19} \cdot 3^{20} \cdot 5 \cdot 19^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.8	2B	$120$	$48$	$0$	$5.838287331$	$1$		$1$	$215040$	$2.766556$	$207530301091125281552569/805586668007040$	$1.05095$	$7.35985$	$[0, -1, 0, -19735096, 33751275376]$	$y^2=x^3-x^2-19735096x+33751275376$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.2, 24.24.0-24.y.1.16, $\ldots$	$[(23290/3, 52858/3)]$
4560.a2	4560q3	4560.a	4560q	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{19} \cdot 3^{5} \cdot 5^{4} \cdot 19^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.7	2B	$120$	$48$	$0$	$1.459571832$	$1$		$3$	$215040$	$2.766556$	$1412712966892699019449/330160465517040000$	$1.04349$	$6.76760$	$[0, -1, 0, -3740216, -2148427920]$	$y^2=x^3-x^2-3740216x-2148427920$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$	$[(2748, 91200)]$
4560.a3	4560q2	4560.a	4560q	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{26} \cdot 3^{10} \cdot 5^{2} \cdot 19^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.1	2Cs	$120$	$48$	$0$	$2.919143665$	$1$		$7$	$107520$	$2.419979$	$52974743974734147769/3152005008998400$	$1.02895$	$6.37788$	$[0, -1, 0, -1251896, 511088496]$	$y^2=x^3-x^2-1251896x+511088496$	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 24.24.0-24.b.1.3, $\ldots$	$[(426, 7410)]$
4560.a4	4560q1	4560.a	4560q	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{40} \cdot 3^{5} \cdot 5 \cdot 19^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.12	2B	$120$	$48$	$0$	$5.838287331$	$1$		$3$	$53760$	$2.073406$	$5495662324535111/117739817533440$	$1.03950$	$5.71444$	$[0, -1, 0, 58824, 32937840]$	$y^2=x^3-x^2+58824x+32937840$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 20.12.0-4.c.1.1, $\ldots$	$[(1261, 45942)]$
4560.b1	4560n4	4560.b	4560n	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{16} \cdot 3^{2} \cdot 5^{18} \cdot 19^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1140$	$96$	$1$	$1$	$1$		$1$	$414720$	$2.959507$	$10993009831928446009969/3767761230468750000$	$1.05315$	$7.01113$	$[0, -1, 0, -7411696, -4956797504]$	$y^2=x^3-x^2-7411696x-4956797504$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 60.48.0-60.t.1.13, $\ldots$	$[]$
4560.b2	4560n2	4560.b	4560n	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{24} \cdot 3^{6} \cdot 5^{6} \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1140$	$96$	$1$	$1$	$1$		$1$	$138240$	$2.410202$	$7903870428425797297009/886464000000$	$1.04255$	$6.97197$	$[0, -1, 0, -6639856, -6583246400]$	$y^2=x^3-x^2-6639856x-6583246400$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 60.48.0-60.t.1.14, $\ldots$	$[]$
4560.b3	4560n1	4560.b	4560n	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{36} \cdot 3^{3} \cdot 5^{3} \cdot 19^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1140$	$96$	$1$	$1$	$1$		$1$	$69120$	$2.063625$	$-1914980734749238129/20440940544000$	$1.01640$	$5.98597$	$[0, -1, 0, -413936, -103308864]$	$y^2=x^3-x^2-413936x-103308864$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 30.24.0.b.1, $\ldots$	$[]$
4560.b4	4560n3	4560.b	4560n	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{20} \cdot 3 \cdot 5^{9} \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1140$	$96$	$1$	$1$	$1$		$1$	$207360$	$2.612934$	$69096190760262356111/70568821500000000$	$1.04449$	$6.40941$	$[0, -1, 0, 1367824, -538943040]$	$y^2=x^3-x^2+1367824x-538943040$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 30.24.0.b.1, $\ldots$	$[]$
4560.c1	4560l4	4560.c	4560l	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 19^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1140$	$96$	$1$	$1$	$1$		$1$	$13824$	$1.333057$	$21804712949838544/8680921875$	$1.06178$	$5.12352$	$[0, -1, 0, -36956, 2745900]$	$y^2=x^3-x^2-36956x+2745900$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 20.6.0.c.1, $\ldots$	$[]$
4560.c2	4560l3	4560.c	4560l	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{4} \cdot 3^{2} \cdot 5^{3} \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1140$	$96$	$1$	$1$	$1$		$1$	$6912$	$0.986484$	$130287139815424/52926616125$	$1.20302$	$4.18671$	$[0, -1, 0, -2661, 29736]$	$y^2=x^3-x^2-2661x+29736$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 12.24.0-6.a.1.9, $\ldots$	$[]$
4560.c3	4560l2	4560.c	4560l	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{8} \cdot 3^{12} \cdot 5^{2} \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1140$	$96$	$1$	$1$	$1$		$1$	$4608$	$0.783751$	$985329269584/252434475$	$0.92851$	$3.93604$	$[0, -1, 0, -1316, -13284]$	$y^2=x^3-x^2-1316x-13284$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 20.6.0.c.1, $\ldots$	$[]$
4560.c4	4560l1	4560.c	4560l	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{4} \cdot 3^{6} \cdot 5 \cdot 19^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1140$	$96$	$1$	$1$	$1$		$1$	$2304$	$0.437177$	$12592337649664/1315845$	$1.04936$	$3.90936$	$[0, -1, 0, -1221, -16020]$	$y^2=x^3-x^2-1221x-16020$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 12.24.0-6.a.1.3, $\ldots$	$[]$
4560.d1	4560m2	4560.d	4560m	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{13} \cdot 3^{7} \cdot 5^{2} \cdot 19^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$26880$	$1.661217$	$1403607530712116449/39475350$	$1.20544$	$5.94693$	$[0, -1, 0, -373216, 87882880]$	$y^2=x^3-x^2-373216x+87882880$	2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.?	$[]$
4560.d2	4560m1	4560.d	4560m	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{14} \cdot 3^{14} \cdot 5 \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$13440$	$1.314644$	$-341370886042369/1817528220$	$1.07626$	$4.96030$	$[0, -1, 0, -23296, 1382656]$	$y^2=x^3-x^2-23296x+1382656$	2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.?	$[]$
4560.e1	4560a4	4560.e	4560a	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{11} \cdot 3^{12} \cdot 5^{3} \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2280$	$48$	$0$	$4.048181937$	$1$		$3$	$18432$	$1.496525$	$56594125707224978/1262172375$	$0.99916$	$5.48355$	$[0, -1, 0, -101576, 12494160]$	$y^2=x^3-x^2-101576x+12494160$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$	$[(234, 1218)]$
4560.e2	4560a3	4560.e	4560a	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{11} \cdot 3^{3} \cdot 5^{12} \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2280$	$48$	$0$	$4.048181937$	$1$		$3$	$18432$	$1.496525$	$1074299413481138/125244140625$	$1.15492$	$5.01302$	$[0, -1, 0, -27096, -1525104]$	$y^2=x^3-x^2-27096x-1525104$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[(-70, 154)]$
4560.e3	4560a2	4560.e	4560a	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{10} \cdot 3^{6} \cdot 5^{6} \cdot 19^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$2280$	$48$	$0$	$2.024090968$	$1$		$9$	$9216$	$1.149952$	$30716746229956/4112015625$	$1.02334$	$4.50884$	$[0, -1, 0, -6576, 182160]$	$y^2=x^3-x^2-6576x+182160$	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.b.1.2, 152.12.0.?, $\ldots$	$[(6, 378)]$
4560.e4	4560a1	4560.e	4560a	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 19^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2280$	$48$	$0$	$4.048181937$	$1$		$3$	$4608$	$0.803378$	$115203799856/439833375$	$1.01691$	$3.88571$	$[0, -1, 0, 644, 14656]$	$y^2=x^3-x^2+644x+14656$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.1, 30.6.0.a.1, $\ldots$	$[(33, 266)]$
4560.f1	4560p2	4560.f	4560p	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$380$	$12$	$0$	$2.130418042$	$1$		$3$	$768$	$0.096521$	$680136784/38475$	$0.83916$	$3.07214$	$[0, -1, 0, -116, -420]$	$y^2=x^3-x^2-116x-420$	2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 380.12.0.?	$[(13, 10)]$
4560.f2	4560p1	4560.f	4560p	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$380$	$12$	$0$	$1.065209021$	$1$		$5$	$384$	$-0.250053$	$67108864/16245$	$1.06587$	$2.46816$	$[0, -1, 0, -21, 36]$	$y^2=x^3-x^2-21x+36$	2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.?	$[(0, 6)]$
4560.g1	4560b2	4560.g	4560b	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{11} \cdot 3 \cdot 5^{2} \cdot 19^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2280$	$12$	$0$	$0.474411555$	$1$		$7$	$1280$	$0.176093$	$48275138/27075$	$1.06650$	$3.00496$	$[0, -1, 0, -96, 96]$	$y^2=x^3-x^2-96x+96$	2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.?	$[(-4, 20)]$
4560.g2	4560b1	4560.g	4560b	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{10} \cdot 3^{2} \cdot 5 \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2280$	$12$	$0$	$0.948823111$	$1$		$7$	$640$	$-0.170481$	$1431644/855$	$0.83891$	$2.50512$	$[0, -1, 0, 24, 0]$	$y^2=x^3-x^2+24x$	2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.?	$[(4, 12)]$
4560.h1	4560k2	4560.h	4560k	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{12} \cdot 3^{10} \cdot 5^{2} \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1140$	$12$	$0$	$1$	$1$		$1$	$5120$	$0.811790$	$48587168449/28048275$	$1.03180$	$3.90790$	$[0, -1, 0, -1216, 1216]$	$y^2=x^3-x^2-1216x+1216$	2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.?	$[]$
4560.h2	4560k1	4560.h	4560k	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{12} \cdot 3^{5} \cdot 5 \cdot 19^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1140$	$12$	$0$	$1$	$1$		$1$	$2560$	$0.465216$	$756058031/438615$	$1.00322$	$3.41378$	$[0, -1, 0, 304, 0]$	$y^2=x^3-x^2+304x$	2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.?	$[]$
4560.i1	4560o2	4560.i	4560o	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$1536$	$0.117415$	$192143824/106875$	$0.89049$	$2.92210$	$[0, -1, 0, -76, 76]$	$y^2=x^3-x^2-76x+76$	2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 228.12.0.?	$[]$
4560.i2	4560o1	4560.i	4560o	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$768$	$-0.229158$	$44957696/27075$	$1.24370$	$2.42061$	$[0, -1, 0, 19, 0]$	$y^2=x^3-x^2+19x$	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[]$
4560.j1	4560f3	4560.j	4560f	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$2280$	$48$	$0$	$0.741695349$	$1$		$7$	$2048$	$0.468860$	$11968836484/961875$	$0.89227$	$3.57706$	$[0, -1, 0, -480, -3600]$	$y^2=x^3-x^2-480x-3600$	2.3.0.a.1, 4.12.0-4.c.1.2, 76.24.0.?, 120.24.0.?, 2280.48.0.?	$[(30, 90)]$
4560.j2	4560f2	4560.j	4560f	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$1140$	$48$	$0$	$1.483390698$	$1$		$9$	$1024$	$0.122287$	$436334416/81225$	$0.83849$	$3.01945$	$[0, -1, 0, -100, 352]$	$y^2=x^3-x^2-100x+352$	2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.b.1.1, 76.24.0.?, 1140.48.0.?	$[(9, 10)]$
4560.j3	4560f1	4560.j	4560f	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$2280$	$48$	$0$	$2.966781397$	$1$		$3$	$512$	$-0.224287$	$5988775936/285$	$0.89596$	$3.00125$	$[0, -1, 0, -95, 390]$	$y^2=x^3-x^2-95x+390$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 76.12.0.?, $\ldots$	$[(22, 92)]$
4560.j4	4560f4	4560.j	4560f	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{10} \cdot 3 \cdot 5 \cdot 19^{4} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$2280$	$48$	$0$	$2.966781397$	$1$		$5$	$2048$	$0.468860$	$859687196/1954815$	$0.89870$	$3.39205$	$[0, -1, 0, 200, 1792]$	$y^2=x^3-x^2+200x+1792$	2.3.0.a.1, 4.12.0-4.c.1.1, 30.6.0.a.1, 60.24.0-60.g.1.3, 152.24.0.?, $\ldots$	$[(-3, 34)]$
4560.k1	4560u3	4560.k	4560u	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{13} \cdot 3 \cdot 5 \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$2280$	$48$	$0$	$1$	$4$	$2$	$1$	$9216$	$1.057663$	$3107086841064961/570$	$0.98891$	$5.22134$	$[0, -1, 0, -48640, -4112768]$	$y^2=x^3-x^2-48640x-4112768$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.14, 380.12.0.?, $\ldots$	$[]$
4560.k2	4560u4	4560.k	4560u	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{13} \cdot 3 \cdot 5^{4} \cdot 19^{4} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$2280$	$48$	$0$	$1$	$1$		$3$	$9216$	$1.057663$	$1177918188481/488703750$	$0.96253$	$4.28631$	$[0, -1, 0, -3520, -41600]$	$y^2=x^3-x^2-3520x-41600$	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.s.1.2, 760.24.0.?, 2280.48.0.?	$[]$
4560.k3	4560u2	4560.k	4560u	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$2280$	$48$	$0$	$1$	$1$		$3$	$4608$	$0.711089$	$758800078561/324900$	$0.93871$	$4.23412$	$[0, -1, 0, -3040, -63488]$	$y^2=x^3-x^2-3040x-63488$	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.1, 380.24.0.?, 2280.48.0.?	$[]$
4560.k4	4560u1	4560.k	4560u	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{16} \cdot 3^{4} \cdot 5 \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$2280$	$48$	$0$	$1$	$1$		$1$	$2304$	$0.364515$	$-111284641/123120$	$0.87799$	$3.31322$	$[0, -1, 0, -160, -1280]$	$y^2=x^3-x^2-160x-1280$	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.y.1.12, 190.6.0.?, 380.24.0.?, $\ldots$	$[]$
4560.l1	4560c3	4560.l	4560c	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 19 $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$760$	$48$	$0$	$1$	$1$		$3$	$10240$	$1.100842$	$3825131988299044/961875$	$0.98300$	$5.08148$	$[0, -1, 0, -32840, 2301600]$	$y^2=x^3-x^2-32840x+2301600$	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.z.1.4, 76.24.0.?, 760.48.0.?	$[]$
4560.l2	4560c2	4560.l	4560c	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 19^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$380$	$48$	$0$	$1$	$1$		$3$	$5120$	$0.754268$	$3778298043856/59213025$	$0.93013$	$4.09557$	$[0, -1, 0, -2060, 36192]$	$y^2=x^3-x^2-2060x+36192$	2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.b.1.2, 76.24.0.?, 380.48.0.?	$[]$
4560.l3	4560c1	4560.l	4560c	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{4} \cdot 3^{4} \cdot 5 \cdot 19^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$760$	$48$	$0$	$1$	$1$		$1$	$2560$	$0.407694$	$115060504576/52780005$	$0.96155$	$3.35205$	$[0, -1, 0, -255, -630]$	$y^2=x^3-x^2-255x-630$	2.3.0.a.1, 4.12.0-4.c.1.2, 10.6.0.a.1, 20.24.0-20.g.1.1, 152.24.0.?, $\ldots$	$[]$
4560.l4	4560c4	4560.l	4560c	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{10} \cdot 3^{16} \cdot 5 \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$760$	$48$	$0$	$1$	$1$		$1$	$10240$	$1.100842$	$-445138564/4089438495$	$1.05930$	$4.33443$	$[0, -1, 0, -160, 98512]$	$y^2=x^3-x^2-160x+98512$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.z.1.10, $\ldots$	$[]$
4560.m1	4560r4	4560.m	4560r	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{21} \cdot 3 \cdot 5^{2} \cdot 19^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$1.950000978$	$1$		$3$	$20736$	$1.812246$	$46237740924063961/1806561830400$	$1.00221$	$5.54183$	$[0, -1, 0, -119640, 15420912]$	$y^2=x^3-x^2-119640x+15420912$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 24.48.0-24.ca.1.5, $\ldots$	$[(44, 3200)]$
4560.m2	4560r2	4560.m	4560r	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{15} \cdot 3^{3} \cdot 5^{6} \cdot 19^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$0.650000326$	$1$		$7$	$6912$	$1.262941$	$148212258825961/1218375000$	$0.97315$	$4.86018$	$[0, -1, 0, -17640, -889488]$	$y^2=x^3-x^2-17640x-889488$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 24.48.0-24.ca.1.13, $\ldots$	$[(-76, 80)]$
4560.m3	4560r1	4560.m	4560r	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{18} \cdot 3^{6} \cdot 5^{3} \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$1.300000652$	$1$		$7$	$3456$	$0.916367$	$-1263214441/110808000$	$0.98712$	$4.07146$	$[0, -1, 0, -360, -32400]$	$y^2=x^3-x^2-360x-32400$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 24.48.0-24.cd.1.1, $\ldots$	$[(90, 810)]$
4560.m4	4560r3	4560.m	4560r	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{30} \cdot 3^{2} \cdot 5 \cdot 19^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2280$	$96$	$1$	$3.900001957$	$1$		$3$	$10368$	$1.465673$	$918046641959/80912056320$	$1.02394$	$4.85248$	$[0, -1, 0, 3240, 871920]$	$y^2=x^3-x^2+3240x+871920$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 24.48.0-24.cd.1.5, $\ldots$	$[(66, 1170)]$
4560.n1	4560d5	4560.n	4560d	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{11} \cdot 3^{2} \cdot 5 \cdot 19^{2} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.30	2B	$1520$	$192$	$1$	$7.159506579$	$1$		$5$	$16384$	$1.638592$	$17981241677724245762/16245$	$1.02173$	$6.16736$	$[0, -1, 0, -693120, 222337440]$	$y^2=x^3-x^2-693120x+222337440$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.f.2.3, 40.48.0-40.bp.1.5, $\ldots$	$[(1637, 58922)]$
4560.n2	4560d4	4560.n	4560d	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 19^{4} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.26	2Cs	$760$	$192$	$1$	$3.579753289$	$1$		$11$	$8192$	$1.292019$	$8780093172522724/263900025$	$1.06342$	$5.18010$	$[0, -1, 0, -43320, 3484800]$	$y^2=x^3-x^2-43320x+3484800$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.2.1, 40.96.0-40.n.1.2, 152.96.0.?, $\ldots$	$[(-168, 2448)]$
4560.n3	4560d6	4560.n	4560d	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{11} \cdot 3^{2} \cdot 5 \cdot 19^{8} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.160	2B	$1520$	$192$	$1$	$1.789876644$	$1$		$7$	$16384$	$1.638592$	$-3865238121540962/764260336845$	$0.99072$	$5.19987$	$[0, -1, 0, -41520, 3785760]$	$y^2=x^3-x^2-41520x+3785760$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.ba.2.2, 40.96.0-40.bk.2.7, 304.96.0.?, $\ldots$	$[(-68, 2508)]$
4560.n4	4560d3	4560.n	4560d	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{10} \cdot 3^{16} \cdot 5^{2} \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.45	2B	$1520$	$192$	$1$	$3.579753289$	$1$		$3$	$8192$	$1.292019$	$201971983086724/20447192475$	$0.96956$	$4.73237$	$[0, -1, 0, -12320, -474000]$	$y^2=x^3-x^2-12320x-474000$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.f.1.3, 40.48.0-40.cb.1.11, $\ldots$	$[(-75, 150)]$
4560.n5	4560d2	4560.n	4560d	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 19^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.31	2Cs	$760$	$192$	$1$	$1.789876644$	$1$		$9$	$4096$	$0.945445$	$9691367618896/1480325625$	$0.94199$	$4.20737$	$[0, -1, 0, -2820, 50400]$	$y^2=x^3-x^2-2820x+50400$	2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.d.1.2, 40.96.0-40.r.2.3, 76.48.0.?, $\ldots$	$[(20, 40)]$
4560.n6	4560d1	4560.n	4560d	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.175	2B	$1520$	$192$	$1$	$0.894938322$	$1$		$5$	$2048$	$0.598871$	$195469297664/601171875$	$1.12030$	$3.58848$	$[0, -1, 0, 305, 4150]$	$y^2=x^3-x^2+305x+4150$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.ba.1.1, 38.6.0.b.1, 76.24.0.?, $\ldots$	$[(10, 90)]$
4560.o1	4560s4	4560.o	4560s	$4$	$10$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 19^{5} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$1140$	$288$	$5$	$1$	$1$		$1$	$576000$	$3.301975$	$16300610738133468173382620881/2228489100$	$1.07409$	$8.69770$	$[0, -1, 0, -845175120, 9457603588800]$	$y^2=x^3-x^2-845175120x+9457603588800$	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 20.72.0-10.a.1.10, 60.144.1-60.cj.1.8, $\ldots$	$[]$
4560.o2	4560s3	4560.o	4560s	$4$	$10$	$ 2^{4} \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{16} \cdot 3 \cdot 5 \cdot 19^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$1140$	$288$	$5$	$1$	$1$		$1$	$288000$	$2.955402$	$-3979640234041473454886161/1471455901872240$	$1.05780$	$7.71043$	$[0, -1, 0, -52823440, 147788289472]$	$y^2=x^3-x^2-52823440x+147788289472$	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 20.72.0-10.a.1.10, 30.72.1.i.2, $\ldots$	$[]$

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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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