Elliptic curve search results

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
675.b1	675b1	675.b	675b	$1$	$1$	\( 3^{3} \cdot 5^{2} \)	\( 3^{5} \cdot 5^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$0.131955364$	$1$		$8$	$36$	$-0.582679$	$1875$	$1.20397$	$2.49409$	$1$	$[1, -1, 1, -5, 2]$	\(y^2+xy+y=x^3-x^2-5x+2\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(0, 1)]$	$1$
675.c1	675d1	675.c	675d	$1$	$1$	\( 3^{3} \cdot 5^{2} \)	\( 3^{11} \cdot 5^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$540$	$0.771347$	$1875$	$1.20397$	$4.98819$	$1$	$[1, -1, 1, -1055, -3428]$	\(y^2+xy+y=x^3-x^2-1055x-3428\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$	$1$
675.g1	675i1	675.g	675i	$1$	$1$	\( 3^{3} \cdot 5^{2} \)	\( 3^{5} \cdot 5^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$0.508507719$	$1$		$2$	$180$	$0.222041$	$1875$	$1.20397$	$3.97637$	$1$	$[1, -1, 0, -117, 166]$	\(y^2+xy=x^3-x^2-117x+166\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(-6, 28)]$	$1$
675.h1	675f1	675.h	675f	$1$	$1$	\( 3^{3} \cdot 5^{2} \)	\( 3^{11} \cdot 5^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$108$	$-0.033372$	$1875$	$1.20397$	$3.50591$	$1$	$[1, -1, 0, -42, -19]$	\(y^2+xy=x^3-x^2-42x-19\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$	$1$
10800.bx1	10800dm1	10800.bx	10800dm	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{12} \cdot 3^{11} \cdot 5^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$34560$	$1.464495$	$1875$	$1.20397$	$4.39464$	$1$	$[0, 0, 0, -16875, 236250]$	\(y^2=x^3-16875x+236250\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$	$1$
10800.by1	10800bw1	10800.by	10800bw	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{12} \cdot 3^{11} \cdot 5^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$6912$	$0.659775$	$1875$	$1.20397$	$3.35488$	$1$	$[0, 0, 0, -675, 1890]$	\(y^2=x^3-675x+1890\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$	$1$
10800.cb1	10800ck1	10800.cb	10800ck	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{12} \cdot 3^{5} \cdot 5^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$0.343934960$	$1$		$6$	$11520$	$0.915188$	$1875$	$1.20397$	$3.68489$	$1$	$[0, 0, 0, -1875, -8750]$	\(y^2=x^3-1875x-8750\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(-25, 150)]$	$1$
10800.cc1	10800cw1	10800.cc	10800cw	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{12} \cdot 3^{5} \cdot 5^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1.449996120$	$1$		$4$	$2304$	$0.110469$	$1875$	$1.20397$	$2.64512$	$1$	$[0, 0, 0, -75, -70]$	\(y^2=x^3-75x-70\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(-1, 2)]$	$1$
33075.h1	33075ca1	33075.h	33075ca	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 3^{5} \cdot 5^{2} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$0.988260749$	$1$		$4$	$13824$	$0.390277$	$1875$	$1.20397$	$2.68329$	$1$	$[1, -1, 1, -230, -318]$	\(y^2+xy+y=x^3-x^2-230x-318\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(-12, 30)]$	$1$
33075.x1	33075cs1	33075.x	33075cs	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 3^{11} \cdot 5^{8} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$207360$	$1.744303$	$1875$	$1.20397$	$4.24465$	$1$	$[1, -1, 1, -51680, 1279072]$	\(y^2+xy+y=x^3-x^2-51680x+1279072\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$	$1$
33075.bv1	33075bg1	33075.bv	33075bg	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 3^{5} \cdot 5^{8} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1.652121554$	$1$		$2$	$69120$	$1.194996$	$1875$	$1.20397$	$3.61123$	$1$	$[1, -1, 0, -5742, -45459]$	\(y^2+xy=x^3-x^2-5742x-45459\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(-12, 153)]$	$1$
33075.cl1	33075m1	33075.cl	33075m	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 3^{11} \cdot 5^{2} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$41472$	$0.939583$	$1875$	$1.20397$	$3.31671$	$1$	$[1, -1, 0, -2067, 10646]$	\(y^2+xy=x^3-x^2-2067x+10646\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$	$1$
43200.es1	43200ff1	43200.es	43200ff	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{18} \cdot 3^{5} \cdot 5^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$0.605382778$	$1$		$16$	$18432$	$0.457042$	$1875$	$1.20397$	$2.69122$	$1$	$[0, 0, 0, -300, -560]$	\(y^2=x^3-300x-560\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(26, 96), (-6, 32)]$	$1$
43200.et1	43200b1	43200.et	43200b	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{18} \cdot 3^{11} \cdot 5^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$3.483958488$	$1$		$2$	$55296$	$1.006348$	$1875$	$1.20397$	$3.30878$	$1$	$[0, 0, 0, -2700, -15120]$	\(y^2=x^3-2700x-15120\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(-44, 136)]$	$1$
43200.eu1	43200ee1	43200.eu	43200ee	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{18} \cdot 3^{11} \cdot 5^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$2.925725080$	$1$		$2$	$276480$	$1.811068$	$1875$	$1.20397$	$4.21351$	$1$	$[0, 0, 0, -67500, -1890000]$	\(y^2=x^3-67500x-1890000\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(-200, 1900)]$	$1$
43200.ev1	43200jm1	43200.ev	43200jm	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{18} \cdot 3^{5} \cdot 5^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$92160$	$1.261761$	$1875$	$1.20397$	$3.59594$	$1$	$[0, 0, 0, -7500, -70000]$	\(y^2=x^3-7500x-70000\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$	$1$
43200.fq1	43200cq1	43200.fq	43200cq	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{18} \cdot 3^{5} \cdot 5^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$18432$	$0.457042$	$1875$	$1.20397$	$2.69122$	$1$	$[0, 0, 0, -300, 560]$	\(y^2=x^3-300x+560\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$	$1$
43200.fr1	43200hw1	43200.fr	43200hw	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{18} \cdot 3^{11} \cdot 5^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$2.028811310$	$1$		$2$	$55296$	$1.006348$	$1875$	$1.20397$	$3.30878$	$1$	$[0, 0, 0, -2700, 15120]$	\(y^2=x^3-2700x+15120\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(-14, 224)]$	$1$
43200.fs1	43200gz1	43200.fs	43200gz	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{18} \cdot 3^{11} \cdot 5^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1.604057525$	$1$		$4$	$276480$	$1.811068$	$1875$	$1.20397$	$4.21351$	$1$	$[0, 0, 0, -67500, 1890000]$	\(y^2=x^3-67500x+1890000\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(250, 800)]$	$1$
43200.ft1	43200bl1	43200.ft	43200bl	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \)	\( 2^{18} \cdot 3^{5} \cdot 5^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$92160$	$1.261761$	$1875$	$1.20397$	$3.59594$	$1$	$[0, 0, 0, -7500, 70000]$	\(y^2=x^3-7500x+70000\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$	$1$
81675.s1	81675ce1	81675.s	81675ce	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 11^{2} \)	\( 3^{11} \cdot 5^{2} \cdot 11^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$4.251107137$	$1$		$2$	$128520$	$1.165575$	$1875$	$1.20397$	$3.29140$	$1$	$[1, -1, 1, -5105, 40582]$	\(y^2+xy+y=x^3-x^2-5105x+40582\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(8, 10)]$	$1$
81675.x1	81675cx1	81675.x	81675cx	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 11^{2} \)	\( 3^{5} \cdot 5^{8} \cdot 11^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$214200$	$1.420988$	$1875$	$1.20397$	$3.56238$	$1$	$[1, -1, 1, -14180, -178428]$	\(y^2+xy+y=x^3-x^2-14180x-178428\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$	$1$
81675.cf1	81675m1	81675.cf	81675m	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 11^{2} \)	\( 3^{5} \cdot 5^{2} \cdot 11^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$42840$	$0.616269$	$1875$	$1.20397$	$2.70860$	$1$	$[1, -1, 0, -567, -1314]$	\(y^2+xy=x^3-x^2-567x-1314\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$	$1$
81675.ck1	81675bn1	81675.ck	81675bn	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 11^{2} \)	\( 3^{11} \cdot 5^{8} \cdot 11^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$29.32669333$	$1$		$0$	$642600$	$1.970295$	$1875$	$1.20397$	$4.14517$	$1$	$[1, -1, 0, -127617, 4945166]$	\(y^2+xy=x^3-x^2-127617x+4945166\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(-2180063661790/108967, 6209717064992380762/108967)]$	$1$
114075.p1	114075bs1	114075.p	114075bs	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 13^{2} \)	\( 3^{11} \cdot 5^{2} \cdot 13^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$221616$	$1.249102$	$1875$	$1.20397$	$3.28304$	$1$	$[1, -1, 1, -7130, -63098]$	\(y^2+xy+y=x^3-x^2-7130x-63098\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$	$1$
114075.r1	114075cl1	114075.r	114075cl	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 13^{2} \)	\( 3^{5} \cdot 5^{8} \cdot 13^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$9.979646057$	$1$		$0$	$369360$	$1.504515$	$1875$	$1.20397$	$3.54624$	$1$	$[1, -1, 1, -19805, 305322]$	\(y^2+xy+y=x^3-x^2-19805x+305322\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(-8082/11, 1576920/11)]$	$1$
114075.cd1	114075u1	114075.cd	114075u	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 13^{2} \)	\( 3^{11} \cdot 5^{8} \cdot 13^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$1108080$	$2.053822$	$1875$	$1.20397$	$4.11231$	$1$	$[1, -1, 0, -178242, -8065459]$	\(y^2+xy=x^3-x^2-178242x-8065459\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$	$1$
114075.cf1	114075g1	114075.cf	114075g	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 13^{2} \)	\( 3^{5} \cdot 5^{2} \cdot 13^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$2.647036212$	$1$		$2$	$73872$	$0.699797$	$1875$	$1.20397$	$2.71696$	$1$	$[1, -1, 0, -792, 2601]$	\(y^2+xy=x^3-x^2-792x+2601\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(0, 51)]$	$1$
195075.k1	195075i1	195075.k	195075i	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 17^{2} \)	\( 3^{11} \cdot 5^{8} \cdot 17^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1.349104161$	$1$		$4$	$2661120$	$2.187954$	$1875$	$1.20397$	$4.06332$	$1$	$[1, -1, 1, -304805, -18059678]$	\(y^2+xy+y=x^3-x^2-304805x-18059678\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(-106, 3665)]$	$1$
195075.l1	195075k1	195075.l	195075k	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 17^{2} \)	\( 3^{5} \cdot 5^{2} \cdot 17^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$177408$	$0.833928$	$1875$	$1.20397$	$2.72943$	$1$	$[1, -1, 1, -1355, 5712]$	\(y^2+xy+y=x^3-x^2-1355x+5712\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$	$1$
195075.bs1	195075bu1	195075.bs	195075bu	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 17^{2} \)	\( 3^{11} \cdot 5^{2} \cdot 17^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$6.822180779$	$1$		$0$	$532224$	$1.383234$	$1875$	$1.20397$	$3.27057$	$1$	$[1, -1, 0, -12192, -142039]$	\(y^2+xy=x^3-x^2-12192x-142039\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(-8032/11, 855399/11)]$	$1$
195075.bt1	195075bs1	195075.bt	195075bs	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 17^{2} \)	\( 3^{5} \cdot 5^{8} \cdot 17^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$887040$	$1.638647$	$1875$	$1.20397$	$3.52218$	$1$	$[1, -1, 0, -33867, 680166]$	\(y^2+xy=x^3-x^2-33867x+680166\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$	$1$
243675.m1	243675m1	243675.m	243675m	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 19^{2} \)	\( 3^{5} \cdot 5^{8} \cdot 19^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$0.718790533$	$1$		$4$	$1283040$	$1.694260$	$1875$	$1.20397$	$3.51282$	$1$	$[1, -1, 1, -42305, -927178]$	\(y^2+xy+y=x^3-x^2-42305x-927178\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(594, 13240)]$	$1$
243675.p1	243675p1	243675.p	243675p	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 19^{2} \)	\( 3^{11} \cdot 5^{2} \cdot 19^{6} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$9.733859954$	$1$		$4$	$769824$	$1.438847$	$1875$	$1.20397$	$3.26572$	$1$	$[1, -1, 1, -15230, 206362]$	\(y^2+xy+y=x^3-x^2-15230x+206362\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(5, 358), (-112, 761)]$	$1$
243675.bq1	243675bq1	243675.bq	243675bq	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 19^{2} \)	\( 3^{5} \cdot 5^{2} \cdot 19^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$3.270267845$	$1$		$2$	$256608$	$0.889541$	$1875$	$1.20397$	$2.73428$	$1$	$[1, -1, 0, -1692, -7079]$	\(y^2+xy=x^3-x^2-1692x-7079\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(480, 10229)]$	$1$
243675.bt1	243675bt1	243675.bt	243675bt	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 19^{2} \)	\( 3^{11} \cdot 5^{8} \cdot 19^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$4$	$2$	$0$	$3849120$	$2.243565$	$1875$	$1.20397$	$4.04425$	$1$	$[1, -1, 0, -380742, 25414541]$	\(y^2+xy=x^3-x^2-380742x+25414541\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$	$1$
357075.m1	357075m1	357075.m	357075m	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 23^{2} \)	\( 3^{11} \cdot 5^{8} \cdot 23^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$6.754511622$	$1$		$0$	$6735960$	$2.339092$	$1875$	$1.20397$	$4.01304$	$1$	$[1, -1, 1, -557930, 45052822]$	\(y^2+xy+y=x^3-x^2-557930x+45052822\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(-704/3, 254630/3)]$	$1$
357075.n1	357075n1	357075.n	357075n	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 23^{2} \)	\( 3^{5} \cdot 5^{2} \cdot 23^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$449064$	$0.985068$	$1875$	$1.20397$	$2.74222$	$1$	$[1, -1, 1, -2480, -12688]$	\(y^2+xy+y=x^3-x^2-2480x-12688\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$	$1$
357075.cf1	357075cf1	357075.cf	357075cf	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 23^{2} \)	\( 3^{11} \cdot 5^{2} \cdot 23^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$21.07654151$	$1$		$0$	$1347192$	$1.534374$	$1875$	$1.20397$	$3.25778$	$1$	$[1, -1, 0, -22317, 364886]$	\(y^2+xy=x^3-x^2-22317x+364886\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(-2249510/3027, 16882617073142/3027)]$	$1$
357075.cg1	357075cg1	357075.cg	357075cg	$1$	$1$	\( 3^{3} \cdot 5^{2} \cdot 23^{2} \)	\( 3^{5} \cdot 5^{8} \cdot 23^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$2245320$	$1.789787$	$1875$	$1.20397$	$3.49749$	$1$	$[1, -1, 0, -61992, -1647959]$	\(y^2+xy=x^3-x^2-61992x-1647959\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$	$1$
529200.bs1	-	529200.bs	-	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{12} \cdot 3^{11} \cdot 5^{2} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$2654208$	$1.632730$	$1875$	$1.20397$	$3.25008$	$1$	$[0, 0, 0, -33075, -648270]$	\(y^2=x^3-33075x-648270\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$
529200.ck1	-	529200.ck	-	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{12} \cdot 3^{11} \cdot 5^{8} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$13271040$	$2.437450$	$1875$	$1.20397$	$3.98280$	$1$	$[0, 0, 0, -826875, -81033750]$	\(y^2=x^3-826875x-81033750\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$
529200.xh1	-	529200.xh	-	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{12} \cdot 3^{5} \cdot 5^{2} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1.080667693$	$1$		$4$	$884736$	$1.083424$	$1875$	$1.20397$	$2.74992$	$1$	$[0, 0, 0, -3675, 24010]$	\(y^2=x^3-3675x+24010\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(-49, 294)]$
529200.xv1	-	529200.xv	-	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{12} \cdot 3^{5} \cdot 5^{8} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$8.282659593$	$1$		$0$	$4423680$	$1.888144$	$1875$	$1.20397$	$3.48264$	$1$	$[0, 0, 0, -91875, 3001250]$	\(y^2=x^3-91875x+3001250\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(-37681/11, 1581622/11)]$
2116800.eo1	-	2116800.eo	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{18} \cdot 3^{5} \cdot 5^{8} \cdot 7^{6} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1.282877276$	$1$		$16$	$35389440$	$2.234718$	$1875$	$1.20397$	$3.43671$	$1$	$[0, 0, 0, -367500, 24010000]$	\(y^2=x^3-367500x+24010000\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(2450, 117600), (50, 2400)]$
2116800.ep1	-	2116800.ep	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{18} \cdot 3^{11} \cdot 5^{8} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$4.849318996$	$1$		$2$	$106168320$	$2.784023$	$1875$	$1.20397$	$3.88926$	$1$	$[0, 0, 0, -3307500, 648270000]$	\(y^2=x^3-3307500x+648270000\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(196, 2744)]$
2116800.gp1	-	2116800.gp	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{18} \cdot 3^{11} \cdot 5^{2} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$5.811207997$	$1$		$0$	$21233664$	$1.979303$	$1875$	$1.20397$	$3.22628$	$1$	$[0, 0, 0, -132300, 5186160]$	\(y^2=x^3-132300x+5186160\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(-2744/3, 111916/3)]$
2116800.gu1	-	2116800.gu	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{18} \cdot 3^{5} \cdot 5^{2} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$7077888$	$1.429998$	$1875$	$1.20397$	$2.77372$	$1$	$[0, 0, 0, -14700, 192080]$	\(y^2=x^3-14700x+192080\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$
2116800.cli1	-	2116800.cli	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{18} \cdot 3^{5} \cdot 5^{8} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$1$	$1$		$0$	$35389440$	$2.234718$	$1875$	$1.20397$	$3.43671$	$1$	$[0, 0, 0, -367500, -24010000]$	\(y^2=x^3-367500x-24010000\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[ ]$
2116800.clj1	-	2116800.clj	-	$1$	$1$	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{18} \cdot 3^{11} \cdot 5^{8} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$60$	$40$	$1$	$10.30956216$	$1$		$0$	$106168320$	$2.784023$	$1875$	$1.20397$	$3.88926$	$1$	$[0, 0, 0, -3307500, -648270000]$	\(y^2=x^3-3307500x-648270000\)	5.10.0.a.1, 12.2.0.a.1, 15.20.0.b.1, 20.20.0.c.1, 60.40.1.n.1	$[(-86726/11, 48979232/11)]$

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