LMFDB - Elliptic curves over $\Q$ of conductor 54390

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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
54390.a1	54390g1	54390.a	54390g	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{4} \cdot 3^{3} \cdot 5^{5} \cdot 7^{17} \cdot 37 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$15540$	$2$	$0$	$2.719226848$	$1$		$0$	$7096320$	$3.169567$	$-138737302436738811629881/98767470812850000$	$1.04899$	$5.95781$	$[1, 1, 0, -52846868, 147937858272]$	$y^2+xy=x^3+x^2-52846868x+147937858272$	15540.2.0.?	$[(110344/5, 3018312/5)]$
54390.b1	54390d1	54390.b	54390d	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{4} \cdot 3^{5} \cdot 5^{5} \cdot 7^{8} \cdot 37 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2220$	$2$	$0$	$1$	$1$		$0$	$403200$	$1.772078$	$40708441207609/449550000$	$1.02670$	$4.30163$	$[1, 1, 0, -128503, -17614043]$	$y^2+xy=x^3+x^2-128503x-17614043$	2220.2.0.?	$[]$
54390.c1	54390c1	54390.c	54390c	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{14} \cdot 3^{11} \cdot 5^{11} \cdot 7^{8} \cdot 37^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2220$	$2$	$0$	$1$	$1$		$0$	$61471872$	$4.364067$	$2605609534839039045974276809/7178421592800000000000$	$1.03635$	$7.21710$	$[1, 1, 0, -5140317928, -141515312370368]$	$y^2+xy=x^3+x^2-5140317928x-141515312370368$	2220.2.0.?	$[]$
54390.d1	54390e2	54390.d	54390e	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{6} \cdot 3^{7} \cdot 5^{14} \cdot 7^{9} \cdot 37^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$15540$	$12$	$0$	$13.40708003$	$1$		$0$	$15805440$	$3.699844$	$35745187142035558575487/1169532421875000000$	$1.09698$	$6.36870$	$[1, 1, 0, -235392203, 1350103126653]$	$y^2+xy=x^3+x^2-235392203x+1350103126653$	2.3.0.a.1, 42.6.0.a.1, 2220.6.0.?, 5180.6.0.?, 15540.12.0.?	$[(12824854/33, 16313786341/33)]$
54390.d2	54390e1	54390.d	54390e	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{12} \cdot 3^{14} \cdot 5^{7} \cdot 7^{9} \cdot 37 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$15540$	$12$	$0$	$26.81416006$	$1$		$1$	$7902720$	$3.353271$	$276068669869428353/56630352960000000$	$1.13673$	$5.82729$	$[1, 1, 0, 4652917, 72631007037]$	$y^2+xy=x^3+x^2+4652917x+72631007037$	2.3.0.a.1, 84.6.0.?, 2220.6.0.?, 2590.6.0.?, 15540.12.0.?	$[(-410816759594/23133, 3247260235705180705/23133)]$
54390.e1	54390f2	54390.e	54390f	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2 \cdot 3^{6} \cdot 5 \cdot 7^{7} \cdot 37^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$31080$	$12$	$0$	$4.462813621$	$1$		$2$	$184320$	$1.282125$	$4844824797961/69860070$	$0.87751$	$3.74951$	$[1, 1, 0, -17273, -870057]$	$y^2+xy=x^3+x^2-17273x-870057$	2.3.0.a.1, 280.6.0.?, 444.6.0.?, 31080.12.0.?	$[(531, 11568)]$
54390.e2	54390f1	54390.e	54390f	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 37 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$31080$	$12$	$0$	$2.231406810$	$1$		$5$	$92160$	$0.935552$	$-1771561/4895100$	$1.00322$	$3.16713$	$[1, 1, 0, -123, -36567]$	$y^2+xy=x^3+x^2-123x-36567$	2.3.0.a.1, 222.6.0.?, 280.6.0.?, 31080.12.0.?	$[(41, 151)]$
54390.f1	54390h2	54390.f	54390h	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{30} \cdot 3 \cdot 5^{3} \cdot 7^{2} \cdot 37^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$15540$	$16$	$0$	$1.892467776$	$1$		$0$	$1244160$	$2.170246$	$103100142486286723561/20395591729152000$	$0.99097$	$4.58312$	$[1, 1, 0, -357473, 66590133]$	$y^2+xy=x^3+x^2-357473x+66590133$	3.4.0.a.1, 21.8.0-3.a.1.2, 2220.8.0.?, 15540.16.0.?	$[(3154/5, 598323/5)]$
54390.f2	54390h1	54390.f	54390h	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{10} \cdot 3^{3} \cdot 5^{9} \cdot 7^{2} \cdot 37 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$15540$	$16$	$0$	$5.677403330$	$1$		$0$	$414720$	$1.620939$	$2850932179613533561/1998000000000$	$0.97195$	$4.25406$	$[1, 1, 0, -108098, -13716492]$	$y^2+xy=x^3+x^2-108098x-13716492$	3.4.0.a.1, 21.8.0-3.a.1.1, 2220.8.0.?, 15540.16.0.?	$[(-4844/5, 7806/5)]$
54390.g1	54390b1	54390.g	54390b	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2 \cdot 3^{21} \cdot 5^{2} \cdot 7^{8} \cdot 37 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$888$	$2$	$0$	$8.437052910$	$1$		$2$	$6420960$	$2.865803$	$-144422342436306640489/19351653425550$	$0.98781$	$5.68481$	$[1, 1, 0, -19598898, 33391788858]$	$y^2+xy=x^3+x^2-19598898x+33391788858$	888.2.0.?	$[(11189, 1096698)]$
54390.h1	54390a1	54390.h	54390a	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{6} \cdot 3 \cdot 5^{3} \cdot 7^{4} \cdot 37 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2220$	$2$	$0$	$0.581213377$	$1$		$4$	$51840$	$0.489079$	$2305248169/888000$	$0.97400$	$2.69096$	$[1, 1, 0, -368, -1728]$	$y^2+xy=x^3+x^2-368x-1728$	2220.2.0.?	$[(-8, 32)]$
54390.i1	54390i4	54390.i	54390i	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{9} \cdot 3^{2} \cdot 5 \cdot 7^{6} \cdot 37^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$31080$	$96$	$1$	$3.148834324$	$1$		$2$	$1741824$	$2.310097$	$127568139540190201/59114336463360$	$1.00920$	$4.68298$	$[1, 1, 0, -513888, 63078912]$	$y^2+xy=x^3+x^2-513888x+63078912$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 40.6.0.b.1, $\ldots$	$[(-123, 11217)]$
54390.i2	54390i2	54390.i	54390i	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 7^{6} \cdot 37^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$31080$	$96$	$1$	$9.446502974$	$1$		$0$	$580608$	$1.760792$	$16581570075765001/998001000$	$0.97935$	$4.49586$	$[1, 1, 0, -260313, -51226083]$	$y^2+xy=x^3+x^2-260313x-51226083$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 40.6.0.b.1, $\ldots$	$[(64753/9, 11289394/9)]$
54390.i3	54390i1	54390.i	54390i	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 7^{6} \cdot 37 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$31080$	$96$	$1$	$4.723251487$	$1$		$3$	$290304$	$1.414219$	$-3375675045001/999000000$	$0.93609$	$3.75425$	$[1, 1, 0, -15313, -903083]$	$y^2+xy=x^3+x^2-15313x-903083$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 40.6.0.c.1, $\ldots$	$[(713, 18386)]$
54390.i4	54390i3	54390.i	54390i	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{18} \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 37^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$31080$	$96$	$1$	$1.574417162$	$1$		$3$	$870912$	$1.963524$	$1367594037332999/995878502400$	$0.99161$	$4.26702$	$[1, 1, 0, 113312, 7508992]$	$y^2+xy=x^3+x^2+113312x+7508992$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 40.6.0.c.1, $\ldots$	$[(-1, 2720)]$
54390.j1	54390l1	54390.j	54390l	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{9} \cdot 3^{2} \cdot 5 \cdot 7^{6} \cdot 37^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1480$	$2$	$0$	$10.35220650$	$1$		$0$	$816480$	$1.993546$	$-683565019129/1597684769280$	$1.04965$	$4.33146$	$[1, 1, 0, -8992, -20865536]$	$y^2+xy=x^3+x^2-8992x-20865536$	1480.2.0.?	$[(45235/7, 9289111/7)]$
54390.k1	54390o2	54390.k	54390o	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{4} \cdot 3^{12} \cdot 5^{4} \cdot 7^{9} \cdot 37 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1036$	$12$	$0$	$1$	$1$		$0$	$1892352$	$2.368656$	$2370032608636783/196633170000$	$0.94634$	$4.85282$	$[1, 1, 0, -952732, -331682336]$	$y^2+xy=x^3+x^2-952732x-331682336$	2.3.0.a.1, 28.6.0.c.1, 148.6.0.?, 1036.12.0.?	$[]$
54390.k2	54390o1	54390.k	54390o	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 7^{9} \cdot 37^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1036$	$12$	$0$	$1$	$1$		$1$	$946176$	$2.022083$	$670611173777/6387206400$	$0.93713$	$4.35465$	$[1, 1, 0, 62548, -23646384]$	$y^2+xy=x^3+x^2+62548x-23646384$	2.3.0.a.1, 14.6.0.b.1, 148.6.0.?, 1036.12.0.?	$[]$
54390.l1	54390m2	54390.l	54390m	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{3} \cdot 3^{2} \cdot 5^{3} \cdot 7^{7} \cdot 37^{3} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$31080$	$16$	$0$	$0.176250415$	$1$		$20$	$456192$	$1.731758$	$-4437543642183289/3191139000$	$0.92426$	$4.37508$	$[1, 1, 0, -167752, 26392024]$	$y^2+xy=x^3+x^2-167752x+26392024$	3.4.0.a.1, 21.8.0-3.a.1.2, 4440.8.0.?, 10360.2.0.?, 31080.16.0.?	$[(643, 13276), (223, 256)]$
54390.l2	54390m1	54390.l	54390m	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2 \cdot 3^{6} \cdot 5 \cdot 7^{9} \cdot 37 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$31080$	$16$	$0$	$1.586253739$	$1$		$8$	$152064$	$1.182453$	$7892485271/92517390$	$0.87664$	$3.43201$	$[1, 1, 0, 2033, 155611]$	$y^2+xy=x^3+x^2+2033x+155611$	3.4.0.a.1, 21.8.0-3.a.1.1, 4440.8.0.?, 10360.2.0.?, 31080.16.0.?	$[(55, 634), (811, 22747)]$
54390.m1	54390n2	54390.m	54390n	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{15} \cdot 3 \cdot 5^{6} \cdot 7^{6} \cdot 37 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$6216$	$16$	$0$	$1$	$1$		$0$	$816480$	$1.938971$	$-39390416456458249/56832000000$	$0.98347$	$4.57544$	$[1, 1, 0, -347337, 78744261]$	$y^2+xy=x^3+x^2-347337x+78744261$	3.4.0.a.1, 21.8.0-3.a.1.2, 888.8.0.?, 6216.16.0.?	$[]$
54390.m2	54390n1	54390.m	54390n	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{5} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 37^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$6216$	$16$	$0$	$1$	$1$		$0$	$272160$	$1.389666$	$223759095911/1094104800$	$0.94877$	$3.65166$	$[1, 1, 0, 6198, 515124]$	$y^2+xy=x^3+x^2+6198x+515124$	3.4.0.a.1, 21.8.0-3.a.1.1, 888.8.0.?, 6216.16.0.?	$[]$
54390.n1	54390k4	54390.n	54390k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{3} \cdot 3^{16} \cdot 5^{5} \cdot 7^{6} \cdot 37^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10360$	$48$	$0$	$4.943868787$	$1$		$2$	$6635520$	$3.175747$	$3639478711331685826729/2016912141902025000$	$1.06074$	$5.62380$	$[1, 1, 0, -15702467, 4924052421]$	$y^2+xy=x^3+x^2-15702467x+4924052421$	2.3.0.a.1, 4.6.0.c.1, 40.12.0.v.1, 56.12.0-4.c.1.2, 140.12.0.?, $\ldots$	$[(5277, 260124)]$
54390.n2	54390k2	54390.n	54390k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{6} \cdot 3^{8} \cdot 5^{10} \cdot 7^{6} \cdot 37^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$10360$	$48$	$0$	$2.471934393$	$1$		$8$	$3317760$	$2.829174$	$825824067562227826729/5613755625000000$	$1.02166$	$5.48778$	$[1, 1, 0, -9577467, -11345172579]$	$y^2+xy=x^3+x^2-9577467x-11345172579$	2.6.0.a.1, 40.12.0.a.1, 56.12.0-2.a.1.1, 140.12.0.?, 280.24.0.?, $\ldots$	$[(-1723, 7599)]$
54390.n3	54390k1	54390.n	54390k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{12} \cdot 3^{4} \cdot 5^{5} \cdot 7^{6} \cdot 37 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10360$	$48$	$0$	$4.943868787$	$1$		$3$	$1658880$	$2.482597$	$821774646379511057449/38361600000$	$1.02151$	$5.48733$	$[1, 1, 0, -9561787, -11384363171]$	$y^2+xy=x^3+x^2-9561787x-11384363171$	2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 56.12.0-4.c.1.4, 140.12.0.?, $\ldots$	$[(5958, 375421)]$
54390.n4	54390k3	54390.n	54390k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{3} \cdot 3^{4} \cdot 5^{20} \cdot 7^{6} \cdot 37 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10360$	$48$	$0$	$4.943868787$	$1$		$2$	$6635520$	$3.175747$	$-47744008200656797609/2286529541015625000$	$1.05861$	$5.63244$	$[1, 1, 0, -3703347, -25105886091]$	$y^2+xy=x^3+x^2-3703347x-25105886091$	2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 56.12.0-4.c.1.1, 280.24.0.?, $\ldots$	$[(22253, 3292311)]$
54390.o1	54390j1	54390.o	54390j	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{5} \cdot 3 \cdot 5^{4} \cdot 7^{8} \cdot 37 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$888$	$2$	$0$	$1$	$1$		$0$	$127680$	$1.200369$	$1459694999/2220000$	$0.98411$	$3.40759$	$[1, 1, 0, 4238, 137236]$	$y^2+xy=x^3+x^2+4238x+137236$	888.2.0.?	$[]$
54390.p1	54390v1	54390.p	54390v	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{3} \cdot 3^{6} \cdot 5^{5} \cdot 7^{6} \cdot 37 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1480$	$2$	$0$	$1$	$1$		$0$	$237600$	$1.355345$	$918046641959/674325000$	$0.94791$	$3.59696$	$[1, 0, 1, 9921, 198202]$	$y^2+xy+y=x^3+9921x+198202$	1480.2.0.?	$[]$
54390.q1	54390t4	54390.q	54390t	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{3} \cdot 3 \cdot 5^{12} \cdot 7^{7} \cdot 37 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$31080$	$48$	$0$	$7.799544895$	$4$	$2$	$2$	$1105920$	$2.278427$	$4149383532674367961/1517578125000$	$0.95943$	$5.00232$	$[1, 0, 1, -1640399, -808552678]$	$y^2+xy+y=x^3-1640399x-808552678$	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 148.12.0.?, 168.12.0.?, $\ldots$	$[(1700, 35433)]$
54390.q2	54390t3	54390.q	54390t	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{3} \cdot 3 \cdot 5^{3} \cdot 7^{10} \cdot 37^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$31080$	$48$	$0$	$7.799544895$	$1$		$0$	$1105920$	$2.278427$	$582352317110836441/13499581683000$	$0.95073$	$4.82223$	$[1, 0, 1, -852479, 296750906]$	$y^2+xy+y=x^3-852479x+296750906$	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$	$[(120724/9, 34701857/9)]$
54390.q3	54390t2	54390.q	54390t	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 7^{8} \cdot 37^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$31080$	$48$	$0$	$3.899772447$	$1$		$6$	$552960$	$1.931854$	$1524090939076441/603729000000$	$0.93191$	$4.27695$	$[1, 0, 1, -117479, -8715094]$	$y^2+xy+y=x^3-117479x-8715094$	2.6.0.a.1, 120.12.0.?, 140.12.0.?, 148.12.0.?, 168.12.0.?, $\ldots$	$[(671, 14316)]$
54390.q4	54390t1	54390.q	54390t	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{12} \cdot 3^{4} \cdot 5^{3} \cdot 7^{7} \cdot 37 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$31080$	$48$	$0$	$1.949886223$	$1$		$5$	$276480$	$1.585279$	$12421081408679/10741248000$	$0.90575$	$3.83585$	$[1, 0, 1, 23641, -981718]$	$y^2+xy+y=x^3+23641x-981718$	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 148.12.0.?, $\ldots$	$[(60, 778)]$
54390.r1	54390u2	54390.r	54390u	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{4} \cdot 3^{12} \cdot 5^{4} \cdot 7^{3} \cdot 37 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1036$	$12$	$0$	$0.565509696$	$1$		$28$	$270336$	$1.395702$	$2370032608636783/196633170000$	$0.94634$	$3.78207$	$[1, 0, 1, -19444, 964226]$	$y^2+xy+y=x^3-19444x+964226$	2.3.0.a.1, 28.6.0.c.1, 148.6.0.?, 1036.12.0.?	$[(109, 323), (1, 971)]$
54390.r2	54390u1	54390.r	54390u	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 7^{3} \cdot 37^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1036$	$12$	$0$	$0.565509696$	$1$		$29$	$135168$	$1.049129$	$670611173777/6387206400$	$0.93713$	$3.28389$	$[1, 0, 1, 1276, 69122]$	$y^2+xy+y=x^3+1276x+69122$	2.3.0.a.1, 14.6.0.b.1, 148.6.0.?, 1036.12.0.?	$[(6, 274), (-24, 169)]$
54390.s1	54390q2	54390.s	54390q	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{16} \cdot 3^{14} \cdot 5^{2} \cdot 7^{7} \cdot 37^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3108$	$12$	$0$	$4.377593433$	$1$		$2$	$27525120$	$3.864700$	$25306840319912277316429470841/75096378453196800$	$1.03060$	$7.06867$	$[1, 0, 1, -2997097129, -63154028153044]$	$y^2+xy+y=x^3-2997097129x-63154028153044$	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[(82363, 15729698)]$
54390.s2	54390q1	54390.s	54390q	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{32} \cdot 3^{7} \cdot 5^{4} \cdot 7^{8} \cdot 37 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3108$	$12$	$0$	$8.755186866$	$1$		$1$	$13762560$	$3.518127$	$-6170768047181777430174841/10643549045391360000$	$1.00986$	$6.30601$	$[1, 0, 1, -187241129, -987650066644]$	$y^2+xy+y=x^3-187241129x-987650066644$	2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.?	$[(532779/2, 386212751/2)]$
54390.t1	54390p2	54390.t	54390p	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{3} \cdot 3^{14} \cdot 5 \cdot 7^{8} \cdot 37^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1.927739664$	$1$		$6$	$1032192$	$2.208511$	$74533948968883321/12833853739560$	$0.94396$	$4.63369$	$[1, 0, 1, -429609, -90873884]$	$y^2+xy+y=x^3-429609x-90873884$	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(-496, 747)]$
54390.t2	54390p1	54390.t	54390p	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{6} \cdot 3^{7} \cdot 5^{2} \cdot 7^{10} \cdot 37 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4440$	$12$	$0$	$0.963869832$	$1$		$9$	$516096$	$1.861938$	$121721586383879/310858430400$	$0.92672$	$4.15775$	$[1, 0, 1, 50591, -8087404]$	$y^2+xy+y=x^3+50591x-8087404$	2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.?	$[(403, 8618)]$
54390.u1	54390r1	54390.u	54390r	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{2} \cdot 3^{3} \cdot 5 \cdot 7^{9} \cdot 37 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$15540$	$2$	$0$	$0.248761735$	$1$		$6$	$138240$	$1.109285$	$-789145184521/6853140$	$0.86208$	$3.58445$	$[1, 0, 1, -9434, 354512]$	$y^2+xy+y=x^3-9434x+354512$	15540.2.0.?	$[(123, 967)]$
54390.v1	54390s1	54390.v	54390s	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{5} \cdot 3 \cdot 5^{4} \cdot 7^{2} \cdot 37 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$888$	$2$	$0$	$2.572117768$	$1$		$0$	$18240$	$0.227414$	$1459694999/2220000$	$0.98411$	$2.33684$	$[1, 0, 1, 86, -388]$	$y^2+xy+y=x^3+86x-388$	888.2.0.?	$[(39/2, 257/2)]$
54390.w1	54390bc1	54390.w	54390bc	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{11} \cdot 3^{6} \cdot 5 \cdot 7^{7} \cdot 37^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$10360$	$2$	$0$	$1$	$1$		$0$	$2787840$	$2.661533$	$-6374526742073108809/3623549056727040$	$0.96916$	$5.10445$	$[1, 0, 1, -1892798, 1411032368]$	$y^2+xy+y=x^3-1892798x+1411032368$	10360.2.0.?	$[]$
54390.x1	54390bb4	54390.x	54390bb	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{7} \cdot 3^{8} \cdot 5 \cdot 7^{9} \cdot 37^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10360$	$48$	$0$	$1$	$1$		$0$	$6193152$	$3.070213$	$178529715976079010844729/2699299212865920$	$0.99935$	$5.98082$	$[1, 0, 1, -57481093, -167742211024]$	$y^2+xy+y=x^3-57481093x-167742211024$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0-4.c.1.1, 280.24.0.?, $\ldots$	$[]$
54390.x2	54390bb3	54390.x	54390bb	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{7} \cdot 3^{2} \cdot 5^{4} \cdot 7^{18} \cdot 37 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10360$	$48$	$0$	$1$	$1$		$0$	$6193152$	$3.070213$	$2658450554295301169209/368731891034640000$	$0.98800$	$5.59500$	$[1, 0, 1, -14141573, 17846996528]$	$y^2+xy+y=x^3-14141573x+17846996528$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0-4.c.1.2, 280.24.0.?, $\ldots$	$[]$
54390.x3	54390bb2	54390.x	54390bb	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 7^{12} \cdot 37^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$10360$	$48$	$0$	$1$	$1$		$2$	$3096576$	$2.723640$	$47564195924660918329/5343633392025600$	$0.97214$	$5.22601$	$[1, 0, 1, -3698693, -2458139344]$	$y^2+xy+y=x^3-3698693x-2458139344$	2.6.0.a.1, 20.12.0-2.a.1.1, 56.12.0-2.a.1.1, 280.24.0.?, 296.12.0.?, $\ldots$	$[]$
54390.x4	54390bb1	54390.x	54390bb	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{28} \cdot 3^{2} \cdot 5 \cdot 7^{9} \cdot 37 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10360$	$48$	$0$	$1$	$4$	$2$	$1$	$1548288$	$2.377068$	$29489595518609351/153302146744320$	$0.96440$	$4.73917$	$[1, 0, 1, 315387, -192592592]$	$y^2+xy+y=x^3+315387x-192592592$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0-4.c.1.4, 280.24.0.?, $\ldots$	$[]$
54390.y1	54390z1	54390.y	54390z	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2 \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 37 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$888$	$2$	$0$	$1$	$1$		$0$	$36960$	$0.385643$	$-4826809/5550$	$0.92507$	$2.58250$	$[1, 0, 1, -173, -1522]$	$y^2+xy+y=x^3-173x-1522$	888.2.0.?	$[]$
54390.z1	54390y1	54390.z	54390y	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2^{18} \cdot 3 \cdot 5^{9} \cdot 7^{13} \cdot 37 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$15540$	$2$	$0$	$1$	$1$		$0$	$15676416$	$3.426228$	$-1922206784037612409/46803595776000000000$	$1.06852$	$5.90821$	$[1, 0, 1, -1269273, 112900693756]$	$y^2+xy+y=x^3-1269273x+112900693756$	15540.2.0.?	$[]$
54390.ba1	54390x1	54390.ba	54390x	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ - 2 \cdot 3^{2} \cdot 5 \cdot 7^{6} \cdot 37 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1480$	$2$	$0$	$1$	$1$		$0$	$30240$	$0.330069$	$357911/3330$	$0.81814$	$2.49237$	$[1, 0, 1, 72, 928]$	$y^2+xy+y=x^3+72x+928$	1480.2.0.?	$[]$
54390.bb1	54390bi1	54390.bb	54390bi	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{14} \cdot 3^{11} \cdot 5^{11} \cdot 7^{2} \cdot 37^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2220$	$2$	$0$	$0.082108920$	$1$		$10$	$8781696$	$3.391113$	$2605609534839039045974276809/7178421592800000000000$	$1.03635$	$6.14634$	$[1, 0, 1, -104904448, 412566099278]$	$y^2+xy+y=x^3-104904448x+412566099278$	2220.2.0.?	$[(-4391, 890195)]$
54390.bc1	54390bh1	54390.bc	54390bh	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $	$ 2^{4} \cdot 3^{5} \cdot 5^{5} \cdot 7^{2} \cdot 37 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2220$	$2$	$0$	$0.092736343$	$1$		$10$	$57600$	$0.799123$	$40708441207609/449550000$	$1.02670$	$3.23088$	$[1, 0, 1, -2623, 50978]$	$y^2+xy+y=x^3-2623x+50978$	2220.2.0.?	$[(19, 80)]$

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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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