LMFDB - Elliptic curves over $\Q$ of conductor 21315

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

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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

Intrinsic torsion order

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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	Manin constant
21315.a1	21315f4	21315.a	21315f	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{2} \cdot 5 \cdot 7^{6} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.10	2B	$48720$	$192$	$3$	$1.647674630$	$1$		$4$	$92160$	$1.517075$	$37286818682653441/1305$	$1.23338$	$4.99970$	$[1, 1, 1, -341041, 76515998]$	$y^2+xy+y=x^3+x^2-341041x+76515998$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 28.12.0-4.c.1.1, 48.24.0.j.1, $\ldots$	$[(349, 217)]$	$1$
21315.a2	21315f2	21315.a	21315f	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{4} \cdot 5^{2} \cdot 7^{6} \cdot 29^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.4	2Cs	$24360$	$192$	$3$	$0.823837315$	$1$		$12$	$46080$	$1.170502$	$9104453457841/1703025$	$1.03605$	$4.16520$	$[1, 1, 1, -21316, 1188788]$	$y^2+xy+y=x^3+x^2-21316x+1188788$	2.6.0.a.1, 4.12.0.a.1, 24.24.0.j.1, 28.24.0-4.a.1.1, 168.48.0.?, $\ldots$	$[(92, 84)]$	$1$
21315.a3	21315f3	21315.a	21315f	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3^{2} \cdot 5^{4} \cdot 7^{6} \cdot 29^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.9	2B	$48720$	$192$	$3$	$0.411918657$	$1$		$10$	$92160$	$1.517075$	$-6561258219361/3978455625$	$0.95298$	$4.20425$	$[1, 1, 1, -19111, 1447214]$	$y^2+xy+y=x^3+x^2-19111x+1447214$	2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 28.24.0-4.d.1.1, 168.48.0.?, $\ldots$	$[(14, 1080)]$	$1$
21315.a4	21315f1	21315.a	21315f	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{8} \cdot 5 \cdot 7^{6} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.10	2B	$48720$	$192$	$3$	$1.647674630$	$1$		$5$	$23040$	$0.823927$	$2992209121/951345$	$0.88867$	$3.36051$	$[1, 1, 1, -1471, 13964]$	$y^2+xy+y=x^3+x^2-1471x+13964$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 28.12.0-4.c.1.2, 48.24.0.j.1, $\ldots$	$[(6, 70)]$	$1$
21315.b1	21315e1	21315.b	21315e	$2$	$2$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{5} \cdot 5^{10} \cdot 7^{9} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$12180$	$12$	$0$	$20.69580047$	$1$		$1$	$460800$	$2.431667$	$13263598743074512561/23604697265625$	$0.96973$	$5.58905$	$[1, 1, 1, -2416436, -1444591492]$	$y^2+xy+y=x^3+x^2-2416436x-1444591492$	2.3.0.a.1, 20.6.0.b.1, 1218.6.0.?, 12180.12.0.?	$[(952440692/151, 29301757035364/151)]$	$1$
21315.b2	21315e2	21315.b	21315e	$2$	$2$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3^{10} \cdot 5^{5} \cdot 7^{12} \cdot 29^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$12180$	$12$	$0$	$10.34790023$	$1$		$2$	$921600$	$2.778244$	$-4228901316132262561/18257731027003125$	$0.98905$	$5.68861$	$[1, 1, 1, -1650811, -2375285242]$	$y^2+xy+y=x^3+x^2-1650811x-2375285242$	2.3.0.a.1, 20.6.0.a.1, 2436.6.0.?, 12180.12.0.?	$[(167044, 68187277)]$	$1$
21315.c1	21315i4	21315.c	21315i	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3 \cdot 5 \cdot 7^{10} \cdot 29 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$24360$	$48$	$0$	$17.29073195$	$1$		$6$	$73728$	$1.436903$	$1382804639990929/1044435$	$0.92311$	$4.66917$	$[1, 1, 1, -113730, -14809908]$	$y^2+xy+y=x^3+x^2-113730x-14809908$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 140.12.0.?, 280.24.0.?, $\ldots$	$[(-195, 98), (861, 22514)]$	$1$
21315.c2	21315i2	21315.c	21315i	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 29^{2} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$12180$	$48$	$0$	$4.322682989$	$1$		$16$	$36864$	$1.090330$	$344324701729/9272025$	$0.86171$	$3.83663$	$[1, 1, 1, -7155, -230448]$	$y^2+xy+y=x^3+x^2-7155x-230448$	2.6.0.a.1, 4.12.0-2.a.1.1, 140.24.0.?, 1740.24.0.?, 2436.24.0.?, $\ldots$	$[(-50, 98), (126, 879)]$	$1$
21315.c3	21315i1	21315.c	21315i	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3 \cdot 5^{4} \cdot 7^{7} \cdot 29 $	$2$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$24360$	$48$	$0$	$4.322682989$	$1$		$17$	$18432$	$0.743756$	$1027243729/380625$	$0.81389$	$3.25324$	$[1, 1, 1, -1030, 7202]$	$y^2+xy+y=x^3+x^2-1030x+7202$	2.3.0.a.1, 4.12.0-4.c.1.1, 280.24.0.?, 1218.6.0.?, 2436.24.0.?, $\ldots$	$[(7, 16), (52, 286)]$	$1$
21315.c4	21315i3	21315.c	21315i	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3^{4} \cdot 5 \cdot 7^{7} \cdot 29^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$24360$	$48$	$0$	$4.322682989$	$1$		$12$	$73728$	$1.436903$	$2691419471/2005141635$	$0.95015$	$4.06820$	$[1, 1, 1, 1420, -738088]$	$y^2+xy+y=x^3+x^2+1420x-738088$	2.3.0.a.1, 4.12.0-4.c.1.2, 70.6.0.a.1, 140.24.0.?, 3480.24.0.?, $\ldots$	$[(150, 1621), (195, 2548)]$	$1$
21315.d1	21315j1	21315.d	21315j	$2$	$2$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{5} \cdot 5^{2} \cdot 7^{9} \cdot 29 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$12180$	$12$	$0$	$1$	$4$	$2$	$1$	$89600$	$1.416756$	$338171833063/176175$	$0.88894$	$4.42052$	$[1, 1, 1, -49785, -4294410]$	$y^2+xy+y=x^3+x^2-49785x-4294410$	2.3.0.a.1, 140.6.0.?, 1218.6.0.?, 1740.6.0.?, 12180.12.0.?	$[ ]$	$1$
21315.d2	21315j2	21315.d	21315j	$2$	$2$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3^{10} \cdot 5 \cdot 7^{9} \cdot 29^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$12180$	$12$	$0$	$1$	$4$	$2$	$0$	$179200$	$1.763329$	$-191800552663/248301045$	$0.90579$	$4.48147$	$[1, 1, 1, -41210, -5810470]$	$y^2+xy+y=x^3+x^2-41210x-5810470$	2.3.0.a.1, 70.6.0.a.1, 1740.6.0.?, 2436.6.0.?, 12180.12.0.?	$[ ]$	$1$
21315.e1	21315g1	21315.e	21315g	$1$	$1$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3 \cdot 5 \cdot 7^{4} \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1740$	$2$	$0$	$1.505287654$	$1$		$2$	$2544$	$-0.099890$	$5764801/435$	$0.94760$	$2.34278$	$[1, 1, 1, -50, -148]$	$y^2+xy+y=x^3+x^2-50x-148$	1740.2.0.?	$[(-4, 4)]$	$1$
21315.f1	21315k1	21315.f	21315k	$1$	$1$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3^{16} \cdot 5 \cdot 7^{10} \cdot 29 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$580$	$2$	$0$	$1$	$9$	$3$	$0$	$483840$	$2.307060$	$-446118219434209/6241774545$	$1.00484$	$5.33899$	$[1, 1, 1, -1044485, -416239468]$	$y^2+xy+y=x^3+x^2-1044485x-416239468$	580.2.0.?	$[ ]$	$1$
21315.g1	21315q1	21315.g	21315q	$2$	$2$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{5} \cdot 5^{2} \cdot 7^{3} \cdot 29 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$12180$	$12$	$0$	$0.549720171$	$1$		$23$	$12800$	$0.443801$	$338171833063/176175$	$0.88894$	$3.24912$	$[1, 0, 0, -1016, 12375]$	$y^2+xy=x^3-1016x+12375$	2.3.0.a.1, 140.6.0.?, 1218.6.0.?, 1740.6.0.?, 12180.12.0.?	$[(19, -5), (13, 31)]$	$1$
21315.g2	21315q2	21315.g	21315q	$2$	$2$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3^{10} \cdot 5 \cdot 7^{3} \cdot 29^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$12180$	$12$	$0$	$0.549720171$	$1$		$22$	$25600$	$0.790375$	$-191800552663/248301045$	$0.90579$	$3.31008$	$[1, 0, 0, -841, 16820]$	$y^2+xy=x^3-841x+16820$	2.3.0.a.1, 70.6.0.a.1, 1740.6.0.?, 2436.6.0.?, 12180.12.0.?	$[(11, 89), (20, 80)]$	$1$
21315.h1	21315o1	21315.h	21315o	$1$	$1$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3 \cdot 5 \cdot 7^{10} \cdot 29 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1740$	$2$	$0$	$1$	$1$		$0$	$17808$	$0.873065$	$5764801/435$	$0.94760$	$3.51418$	$[1, 0, 0, -2451, 43350]$	$y^2+xy=x^3-2451x+43350$	1740.2.0.?	$[ ]$	$1$
21315.i1	21315p8	21315.i	21315p	$8$	$16$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{16} \cdot 5 \cdot 7^{10} \cdot 29 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.2	2B	$97440$	$768$	$13$	$1$	$1$		$0$	$1966080$	$3.029484$	$708102767635831683894241/14986500682545$	$1.00805$	$6.68117$	$[1, 0, 0, -90988591, 334055524256]$	$y^2+xy=x^3-90988591x+334055524256$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 28.12.0-4.c.1.1, $\ldots$	$[ ]$	$1$
21315.i2	21315p6	21315.i	21315p	$8$	$16$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{8} \cdot 5^{2} \cdot 7^{14} \cdot 29^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.23	2Cs	$48720$	$768$	$13$	$1$	$1$		$2$	$983040$	$2.682911$	$173449931524273005841/795225618065025$	$0.98016$	$5.84699$	$[1, 0, 0, -5693066, 5207157171]$	$y^2+xy=x^3-5693066x+5207157171$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 28.24.0-4.b.1.1, 40.48.0.bc.1, $\ldots$	$[ ]$	$1$
21315.i3	21315p7	21315.i	21315p	$8$	$16$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3^{4} \cdot 5 \cdot 7^{22} \cdot 29 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.2	2B	$97440$	$768$	$13$	$1$	$4$	$2$	$0$	$1966080$	$3.029484$	$-20980751961338245441/390320769539963745$	$1.00949$	$5.98631$	$[1, 0, 0, -2815541, 10468999386]$	$y^2+xy=x^3-2815541x+10468999386$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 28.12.0-4.c.1.1, $\ldots$	$[ ]$	$1$
21315.i4	21315p4	21315.i	21315p	$8$	$16$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{4} \cdot 5^{4} \cdot 7^{10} \cdot 29^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.24.0.8	2Cs	$48720$	$768$	$13$	$1$	$1$		$2$	$491520$	$2.336334$	$149620653479787841/85970447600625$	$1.00893$	$5.13911$	$[1, 0, 0, -541941, -12992904]$	$y^2+xy=x^3-541941x-12992904$	2.6.0.a.1, 4.24.0.b.1, 24.48.0-4.b.1.5, 28.48.0-4.b.1.1, 40.48.0.b.1, $\ldots$	$[ ]$	$1$
21315.i5	21315p2	21315.i	21315p	$8$	$16$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{2} \cdot 5^{8} \cdot 7^{8} \cdot 29^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.23	2Cs	$48720$	$768$	$13$	$1$	$4$	$2$	$2$	$245760$	$1.989761$	$55254534707337841/144875390625$	$0.94400$	$5.03916$	$[1, 0, 0, -388816, -93138529]$	$y^2+xy=x^3-388816x-93138529$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 24.48.0-8.i.1.5, 28.24.0-4.b.1.3, $\ldots$	$[ ]$	$1$
21315.i6	21315p1	21315.i	21315p	$8$	$16$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3 \cdot 5^{4} \cdot 7^{7} \cdot 29 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.2	2B	$97440$	$768$	$13$	$1$	$4$	$2$	$1$	$122880$	$1.643188$	$55150149867714721/380625$	$0.94394$	$5.03897$	$[1, 0, 0, -388571, -93261960]$	$y^2+xy=x^3-388571x-93261960$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0-8.n.1.8, $\ldots$	$[ ]$	$1$
21315.i7	21315p3	21315.i	21315p	$8$	$16$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3 \cdot 5^{16} \cdot 7^{7} \cdot 29 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.2	2B	$97440$	$768$	$13$	$1$	$16$	$2$	$0$	$491520$	$2.336334$	$-12931706531187361/92926025390625$	$0.96987$	$5.15397$	$[1, 0, 0, -239611, -165383590]$	$y^2+xy=x^3-239611x-165383590$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0-8.n.1.4, $\ldots$	$[ ]$	$1$
21315.i8	21315p5	21315.i	21315p	$8$	$16$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 29^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.67	2B	$97440$	$768$	$13$	$1$	$1$		$0$	$983040$	$2.682911$	$9462467906178230159/5515216702895025$	$1.02448$	$5.55517$	$[1, 0, 0, 2159184, -103210479]$	$y^2+xy=x^3+2159184x-103210479$	2.3.0.a.1, 4.12.0.d.1, 8.24.0.q.1, 24.48.0-8.q.1.2, 28.24.0-4.d.1.1, $\ldots$	$[ ]$	$1$
21315.j1	21315m1	21315.j	21315m	$1$	$1$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3^{16} \cdot 5 \cdot 7^{4} \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$580$	$2$	$0$	$0.348003306$	$1$		$6$	$69120$	$1.334105$	$-446118219434209/6241774545$	$1.00484$	$4.16760$	$[1, 0, 0, -21316, 1210481]$	$y^2+xy=x^3-21316x+1210481$	580.2.0.?	$[(83, 80)]$	$1$
21315.k1	21315x4	21315.k	21315x	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3 \cdot 5^{8} \cdot 7^{7} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$4872$	$48$	$0$	$4.028823835$	$1$		$2$	$98304$	$1.639692$	$3835168345623889/237890625$	$0.92921$	$4.77151$	$[1, 0, 0, -159790, -24597133]$	$y^2+xy=x^3-159790x-24597133$	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.ba.1.12, 696.24.0.?, 1218.6.0.?, $\ldots$	$[(1174, 36913)]$	$1$
21315.k2	21315x3	21315.k	21315x	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{4} \cdot 5^{2} \cdot 7^{7} \cdot 29^{4} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$4872$	$48$	$0$	$1.007205958$	$1$		$12$	$98304$	$1.639692$	$143622619359409/10025708175$	$0.91018$	$4.44195$	$[1, 0, 0, -53460, 4457025]$	$y^2+xy=x^3-53460x+4457025$	2.3.0.a.1, 4.12.0-4.c.1.1, 28.24.0-28.h.1.2, 696.24.0.?, 4872.48.0.?	$[(165, 285)]$	$1$
21315.k3	21315x2	21315.k	21315x	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{2} \cdot 5^{4} \cdot 7^{8} \cdot 29^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$2436$	$48$	$0$	$2.014411917$	$1$		$8$	$49152$	$1.293119$	$1114835073409/231800625$	$0.87761$	$3.95450$	$[1, 0, 0, -10585, -336400]$	$y^2+xy=x^3-10585x-336400$	2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.a.1.1, 348.24.0.?, 2436.48.0.?	$[(-73, 257)]$	$1$
21315.k4	21315x1	21315.k	21315x	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3 \cdot 5^{2} \cdot 7^{10} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$4872$	$48$	$0$	$4.028823835$	$1$		$3$	$24576$	$0.946546$	$2691419471/5222175$	$0.84163$	$3.43572$	$[1, 0, 0, 1420, -31473]$	$y^2+xy=x^3+1420x-31473$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.2, 56.24.0-56.ba.1.2, $\ldots$	$[(27, 150)]$	$1$
21315.l1	21315w1	21315.l	21315w	$2$	$2$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3 \cdot 5^{2} \cdot 7^{7} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$12180$	$12$	$0$	$4.433844089$	$1$		$3$	$12288$	$0.510999$	$148035889/15225$	$0.88914$	$3.05889$	$[1, 0, 0, -540, -4425]$	$y^2+xy=x^3-540x-4425$	2.3.0.a.1, 20.6.0.b.1, 1218.6.0.?, 12180.12.0.?	$[(71, 527)]$	$1$
21315.l2	21315w2	21315.l	21315w	$2$	$2$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3^{2} \cdot 5 \cdot 7^{8} \cdot 29^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$12180$	$12$	$0$	$2.216922044$	$1$		$4$	$24576$	$0.857573$	$302111711/1854405$	$0.83805$	$3.35745$	$[1, 0, 0, 685, -21330]$	$y^2+xy=x^3+685x-21330$	2.3.0.a.1, 20.6.0.a.1, 2436.6.0.?, 12180.12.0.?	$[(27, 117)]$	$1$
21315.m1	21315h1	21315.m	21315h	$2$	$3$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3^{3} \cdot 5 \cdot 7^{6} \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$6090$	$16$	$0$	$3.841971927$	$1$		$2$	$7200$	$0.447782$	$-160989184/3915$	$0.86981$	$3.07143$	$[0, -1, 1, -555, -4957]$	$y^2+y=x^3-x^2-555x-4957$	3.4.0.a.1, 21.8.0-3.a.1.1, 870.8.0.?, 6090.16.0.?	$[(313, 5512)]$	$1$
21315.m2	21315h2	21315.m	21315h	$2$	$3$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3 \cdot 5^{3} \cdot 7^{6} \cdot 29^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$6090$	$16$	$0$	$1.280657309$	$1$		$2$	$21600$	$0.997088$	$12747309056/9145875$	$0.97110$	$3.50592$	$[0, -1, 1, 2385, -22744]$	$y^2+y=x^3-x^2+2385x-22744$	3.4.0.a.1, 21.8.0-3.a.1.2, 870.8.0.?, 6090.16.0.?	$[(40, 367)]$	$1$
21315.n1	21315u1	21315.n	21315u	$1$	$1$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3^{5} \cdot 5^{7} \cdot 7^{6} \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$870$	$2$	$0$	$0.163402866$	$1$		$6$	$50400$	$1.331251$	$53838872576/550546875$	$1.03969$	$3.93275$	$[0, 1, 1, 3855, 377381]$	$y^2+y=x^3+x^2+3855x+377381$	870.2.0.?	$[(135, 1837)]$	$1$
21315.o1	21315d1	21315.o	21315d	$1$	$1$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{5} \cdot 5 \cdot 7^{2} \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1740$	$2$	$0$	$1.300626187$	$1$		$2$	$7440$	$0.103648$	$26934258841/35235$	$0.85534$	$2.80004$	$[1, 1, 0, -228, 1233]$	$y^2+xy=x^3+x^2-228x+1233$	1740.2.0.?	$[(8, -3)]$	$1$
21315.p1	21315c4	21315.p	21315c	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{2} \cdot 5 \cdot 7^{6} \cdot 29^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$8120$	$48$	$0$	$1.038216018$	$1$		$4$	$55296$	$1.210606$	$1888690601881/31827645$	$0.93261$	$4.00739$	$[1, 1, 0, -12618, 532323]$	$y^2+xy=x^3+x^2-12618x+532323$	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 28.12.0-4.c.1.1, $\ldots$	$[(78, 135)]$	$1$
21315.p2	21315c2	21315.p	21315c	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{4} \cdot 5^{2} \cdot 7^{6} \cdot 29^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$4060$	$48$	$0$	$2.076432036$	$1$		$6$	$27648$	$0.864032$	$3803721481/1703025$	$0.90376$	$3.38458$	$[1, 1, 0, -1593, -12312]$	$y^2+xy=x^3+x^2-1593x-12312$	2.6.0.a.1, 20.12.0.b.1, 28.12.0-2.a.1.1, 116.12.0.?, 140.24.0.?, $\ldots$	$[(104, 928)]$	$1$
21315.p3	21315c1	21315.p	21315c	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{2} \cdot 5 \cdot 7^{6} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$8120$	$48$	$0$	$4.152864073$	$1$		$3$	$13824$	$0.517459$	$2305199161/1305$	$0.87163$	$3.33434$	$[1, 1, 0, -1348, -19613]$	$y^2+xy=x^3+x^2-1348x-19613$	2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$	$[(42, -13)]$	$1$
21315.p4	21315c3	21315.p	21315c	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3^{8} \cdot 5^{4} \cdot 7^{6} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$8120$	$48$	$0$	$4.152864073$	$1$		$0$	$55296$	$1.210606$	$157376536199/118918125$	$0.94171$	$3.75808$	$[1, 1, 0, 5512, -84783]$	$y^2+xy=x^3+x^2+5512x-84783$	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.z.1, 116.12.0.?, $\ldots$	$[(383/2, 8851/2)]$	$1$
21315.q1	21315b4	21315.q	21315b	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{2} \cdot 5^{4} \cdot 7^{14} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$8120$	$48$	$0$	$3.613460985$	$1$		$0$	$196608$	$1.965151$	$2040699095041321/940383163125$	$0.94521$	$4.70821$	$[1, 1, 0, -129483, 8040348]$	$y^2+xy=x^3+x^2-129483x+8040348$	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.ba.1, 58.6.0.a.1, $\ldots$	$[(-1509/2, 16209/2)]$	$1$
21315.q2	21315b2	21315.q	21315b	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{4} \cdot 5^{2} \cdot 7^{10} \cdot 29^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$4060$	$48$	$0$	$7.226921971$	$1$		$4$	$98304$	$1.618578$	$264621653112601/4088963025$	$0.91296$	$4.50326$	$[1, 1, 0, -65538, -6398433]$	$y^2+xy=x^3+x^2-65538x-6398433$	2.6.0.a.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 116.12.0.?, 140.24.0.?, $\ldots$	$[(7262, 614881)]$	$1$
21315.q3	21315b1	21315.q	21315b	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{2} \cdot 5 \cdot 7^{8} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$8120$	$48$	$0$	$14.45384394$	$1$		$1$	$49152$	$1.272005$	$261665059972681/63945$	$0.91255$	$4.50214$	$[1, 1, 0, -65293, -6448952]$	$y^2+xy=x^3+x^2-65293x-6448952$	2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$	$[(1751148/31, 2266826710/31)]$	$1$
21315.q4	21315b3	21315.q	21315b	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3^{8} \cdot 5 \cdot 7^{8} \cdot 29^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$8120$	$48$	$0$	$3.613460985$	$1$		$4$	$196608$	$1.965151$	$-157551496201/1136915307045$	$1.00854$	$4.70441$	$[1, 1, 0, -5513, -17599098]$	$y^2+xy=x^3+x^2-5513x-17599098$	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 28.12.0-4.c.1.2, 140.24.0.?, $\ldots$	$[(274, 1110)]$	$1$
21315.r1	21315a1	21315.r	21315a	$1$	$1$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3^{4} \cdot 5^{3} \cdot 7^{8} \cdot 29 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$580$	$2$	$0$	$1$	$1$		$0$	$24192$	$1.032055$	$-77626969/293625$	$0.94906$	$3.58722$	$[1, 1, 0, -1593, -67878]$	$y^2+xy=x^3+x^2-1593x-67878$	580.2.0.?	$[ ]$	$1$
21315.s1	21315n4	21315.s	21315n	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{4} \cdot 5^{12} \cdot 7^{8} \cdot 29 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$8120$	$48$	$0$	$1$	$1$		$0$	$1032192$	$2.840439$	$25624056865771295207641/28100830078125$	$0.99778$	$6.34817$	$[1, 0, 1, -30095679, 63545788177]$	$y^2+xy+y=x^3-30095679x+63545788177$	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.ba.1, 58.6.0.a.1, $\ldots$	$[ ]$	$1$
21315.s2	21315n2	21315.s	21315n	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{8} \cdot 5^{6} \cdot 7^{10} \cdot 29^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$4060$	$48$	$0$	$1$	$1$		$2$	$516096$	$2.493862$	$6406263345210248521/207003753140625$	$0.96720$	$5.51604$	$[1, 0, 1, -1895934, 976193971]$	$y^2+xy+y=x^3-1895934x+976193971$	2.6.0.a.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 116.12.0.?, 140.24.0.?, $\ldots$	$[ ]$	$1$
21315.s3	21315n1	21315.s	21315n	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{16} \cdot 5^{3} \cdot 7^{8} \cdot 29 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$8120$	$48$	$0$	$1$	$1$		$1$	$258048$	$2.147289$	$22569455565127801/7646173817625$	$1.02268$	$4.94933$	$[1, 0, 1, -288489, -38425313]$	$y^2+xy+y=x^3-288489x-38425313$	2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$	$[ ]$	$1$
21315.s4	21315n3	21315.s	21315n	$4$	$4$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ - 3^{4} \cdot 5^{3} \cdot 7^{14} \cdot 29^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$8120$	$48$	$0$	$1$	$1$		$0$	$1032192$	$2.840439$	$187895234960241479/41283008937820125$	$1.01976$	$5.75758$	$[1, 0, 1, 584691, 3348663721]$	$y^2+xy+y=x^3+584691x+3348663721$	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 28.12.0-4.c.1.2, 140.24.0.?, $\ldots$	$[ ]$	$1$
21315.t1	21315r1	21315.t	21315r	$1$	$1$	$ 3 \cdot 5 \cdot 7^{2} \cdot 29 $	$ 3^{5} \cdot 5 \cdot 7^{8} \cdot 29 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1740$	$2$	$0$	$1$	$1$		$0$	$52080$	$1.076603$	$26934258841/35235$	$0.85534$	$3.97143$	$[1, 0, 1, -11198, -456487]$	$y^2+xy+y=x^3-11198x-456487$	1740.2.0.?	$[ ]$	$1$

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