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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
36.a1	36a4	36.a	36a	$4$	$6$	\( 2^{2} \cdot 3^{2} \)	\( 2^{8} \cdot 3^{9} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.4	3B.1.2				$1$	$1$		$1$	$6$	$0.080464$	$54000$	$1.02720$	$7.34737$	$[0, 0, 0, -135, -594]$	\(y^2=x^3-135x-594\)		$[ ]$
36.a2	36a2	36.a	36a	$4$	$6$	\( 2^{2} \cdot 3^{2} \)	\( 2^{8} \cdot 3^{3} \)	$0$	$\Z/6\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.1	3B.1.1				$1$	$1$		$5$	$2$	$-0.468842$	$54000$	$1.02720$	$5.50793$	$[0, 0, 0, -15, 22]$	\(y^2=x^3-15x+22\)		$[ ]$
144.a1	144a4	144.a	144a	$4$	$6$	\( 2^{4} \cdot 3^{2} \)	\( 2^{8} \cdot 3^{9} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$24$	$0.080464$	$54000$	$1.02720$	$5.29787$	$[0, 0, 0, -135, 594]$	\(y^2=x^3-135x+594\)		$[ ]$
144.a2	144a2	144.a	144a	$4$	$6$	\( 2^{4} \cdot 3^{2} \)	\( 2^{8} \cdot 3^{3} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$8$	$-0.468842$	$54000$	$1.02720$	$3.97153$	$[0, 0, 0, -15, -22]$	\(y^2=x^3-15x-22\)		$[ ]$
576.e1	576a4	576.e	576a	$4$	$6$	\( 2^{6} \cdot 3^{2} \)	\( 2^{14} \cdot 3^{9} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$0.979852016$	$1$		$7$	$192$	$0.427038$	$54000$	$1.02720$	$4.79670$	$[0, 0, 0, -540, -4752]$	\(y^2=x^3-540x-4752\)		$[(-14, 8)]$
576.e2	576a2	576.e	576a	$4$	$6$	\( 2^{6} \cdot 3^{2} \)	\( 2^{14} \cdot 3^{3} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$0.326617338$	$1$		$9$	$64$	$-0.122268$	$54000$	$1.02720$	$3.75963$	$[0, 0, 0, -60, 176]$	\(y^2=x^3-60x+176\)		$[(2, 8)]$
576.f1	576e4	576.f	576e	$4$	$6$	\( 2^{6} \cdot 3^{2} \)	\( 2^{14} \cdot 3^{9} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$192$	$0.427038$	$54000$	$1.02720$	$4.79670$	$[0, 0, 0, -540, 4752]$	\(y^2=x^3-540x+4752\)		$[ ]$
576.f2	576e2	576.f	576e	$4$	$6$	\( 2^{6} \cdot 3^{2} \)	\( 2^{14} \cdot 3^{3} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$64$	$-0.122268$	$54000$	$1.02720$	$3.75963$	$[0, 0, 0, -60, -176]$	\(y^2=x^3-60x-176\)		$[ ]$
900.g1	900b4	900.g	900b	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 5^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$864$	$0.885183$	$54000$	$1.02720$	$5.29020$	$[0, 0, 0, -3375, -74250]$	\(y^2=x^3-3375x-74250\)		$[ ]$
900.g2	900b2	900.g	900b	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 5^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$288$	$0.335877$	$54000$	$1.02720$	$4.32118$	$[0, 0, 0, -375, 2750]$	\(y^2=x^3-375x+2750\)		$[ ]$
1764.e1	1764b4	1764.e	1764b	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 7^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$3.161372234$	$1$		$3$	$1728$	$1.053419$	$54000$	$1.02720$	$5.08404$	$[0, 0, 0, -6615, 203742]$	\(y^2=x^3-6615x+203742\)		$[(-66, 594)]$
1764.e2	1764b2	1764.e	1764b	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 7^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1.053790744$	$1$		$7$	$576$	$0.504113$	$54000$	$1.02720$	$4.20225$	$[0, 0, 0, -735, -7546]$	\(y^2=x^3-735x-7546\)		$[(-17, 6)]$
3600.e1	3600bb4	3600.e	3600bb	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 5^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$3456$	$0.885183$	$54000$	$1.02720$	$4.39461$	$[0, 0, 0, -3375, 74250]$	\(y^2=x^3-3375x+74250\)		$[ ]$
3600.e2	3600bb2	3600.e	3600bb	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 5^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$1152$	$0.335877$	$54000$	$1.02720$	$3.58963$	$[0, 0, 0, -375, -2750]$	\(y^2=x^3-375x-2750\)		$[ ]$
4356.g1	4356c4	4356.g	4356c	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$0.926588831$	$1$		$7$	$8640$	$1.279411$	$54000$	$1.02720$	$4.85921$	$[0, 0, 0, -16335, 790614]$	\(y^2=x^3-16335x+790614\)		$[(55, 242)]$
4356.g2	4356c2	4356.g	4356c	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$2.779766495$	$1$		$1$	$2880$	$0.730106$	$54000$	$1.02720$	$4.07255$	$[0, 0, 0, -1815, -29282]$	\(y^2=x^3-1815x-29282\)		$[(209/2, 1089/2)]$
6084.i1	6084a4	6084.i	6084a	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 13^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$13824$	$1.362940$	$54000$	$1.02720$	$4.78792$	$[0, 0, 0, -22815, -1305018]$	\(y^2=x^3-22815x-1305018\)		$[ ]$
6084.i2	6084a2	6084.i	6084a	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 13^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$4608$	$0.813633$	$54000$	$1.02720$	$4.03142$	$[0, 0, 0, -2535, 48334]$	\(y^2=x^3-2535x+48334\)		$[ ]$
7056.bb1	7056bf4	7056.bb	7056bf	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 7^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$7.844547517$	$1$		$1$	$6912$	$1.053419$	$54000$	$1.02720$	$4.28870$	$[0, 0, 0, -6615, -203742]$	\(y^2=x^3-6615x-203742\)		$[(16177/6, 2021201/6)]$
7056.bb2	7056bf2	7056.bb	7056bf	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 7^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$2.614849172$	$1$		$3$	$2304$	$0.504113$	$54000$	$1.02720$	$3.54486$	$[0, 0, 0, -735, 7546]$	\(y^2=x^3-735x+7546\)		$[(2, 78)]$
10404.i1	10404b4	10404.i	10404b	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 17^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$9$	$3$	$1$	$31104$	$1.497070$	$54000$	$1.02720$	$4.68421$	$[0, 0, 0, -39015, -2918322]$	\(y^2=x^3-39015x-2918322\)		$[ ]$
10404.i2	10404b2	10404.i	10404b	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 17^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$10368$	$0.947765$	$54000$	$1.02720$	$3.97159$	$[0, 0, 0, -4335, 108086]$	\(y^2=x^3-4335x+108086\)		$[ ]$
12996.d1	12996f4	12996.d	12996f	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$2.290307121$	$1$		$5$	$36288$	$1.552685$	$54000$	$1.02720$	$4.64466$	$[0, 0, 0, -48735, 4074246]$	\(y^2=x^3-48735x+4074246\)		$[(87, 702)]$
12996.d2	12996f2	12996.d	12996f	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$6.870921363$	$1$		$1$	$12096$	$1.003378$	$54000$	$1.02720$	$3.94878$	$[0, 0, 0, -5415, -150898]$	\(y^2=x^3-5415x-150898\)		$[(-2294/7, 468/7)]$
14400.n1	14400cz4	14400.n	14400cz	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{14} \cdot 3^{9} \cdot 5^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$27648$	$1.231756$	$54000$	$1.02720$	$4.19269$	$[0, 0, 0, -13500, 594000]$	\(y^2=x^3-13500x+594000\)		$[ ]$
14400.n2	14400cz2	14400.n	14400cz	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{14} \cdot 3^{3} \cdot 5^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$9216$	$0.682451$	$54000$	$1.02720$	$3.50426$	$[0, 0, 0, -1500, -22000]$	\(y^2=x^3-1500x-22000\)		$[ ]$
14400.ey1	14400l4	14400.ey	14400l	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{14} \cdot 3^{9} \cdot 5^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$3.166046073$	$1$		$3$	$27648$	$1.231756$	$54000$	$1.02720$	$4.19269$	$[0, 0, 0, -13500, -594000]$	\(y^2=x^3-13500x-594000\)		$[(426, 8424)]$
14400.ey2	14400l2	14400.ey	14400l	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{14} \cdot 3^{3} \cdot 5^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1.055348691$	$1$		$7$	$9216$	$0.682451$	$54000$	$1.02720$	$3.50426$	$[0, 0, 0, -1500, 22000]$	\(y^2=x^3-1500x+22000\)		$[(26, 24)]$
17424.w1	17424be4	17424.w	17424be	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$4.870871293$	$1$		$1$	$34560$	$1.279411$	$54000$	$1.02720$	$4.16941$	$[0, 0, 0, -16335, -790614]$	\(y^2=x^3-16335x-790614\)		$[(7161/2, 604395/2)]$
17424.w2	17424be2	17424.w	17424be	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1.623623764$	$1$		$3$	$11520$	$0.730106$	$54000$	$1.02720$	$3.49442$	$[0, 0, 0, -1815, 29282]$	\(y^2=x^3-1815x+29282\)		$[(-22, 242)]$
19044.i1	19044c4	19044.i	19044c	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 23^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 23^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$5.863497176$	$1$		$1$	$76032$	$1.648212$	$54000$	$1.02720$	$4.58089$	$[0, 0, 0, -71415, 7227198]$	\(y^2=x^3-71415x+7227198\)		$[(1081/6, 488267/6)]$
19044.i2	19044c2	19044.i	19044c	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 23^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 23^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1.954499058$	$1$		$3$	$25344$	$1.098906$	$54000$	$1.02720$	$3.91199$	$[0, 0, 0, -7935, -267674]$	\(y^2=x^3-7935x-267674\)		$[(230, 3174)]$
24336.bb1	24336ba4	24336.bb	24336ba	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$55296$	$1.362940$	$54000$	$1.02720$	$4.13072$	$[0, 0, 0, -22815, 1305018]$	\(y^2=x^3-22815x+1305018\)		$[ ]$
24336.bb2	24336ba2	24336.bb	24336ba	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$18432$	$0.813633$	$54000$	$1.02720$	$3.47806$	$[0, 0, 0, -2535, -48334]$	\(y^2=x^3-2535x-48334\)		$[ ]$
28224.di1	28224di4	28224.di	28224di	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \)	\( 2^{14} \cdot 3^{9} \cdot 7^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$7.104355409$	$1$		$1$	$55296$	$1.399994$	$54000$	$1.02720$	$4.11437$	$[0, 0, 0, -26460, -1629936]$	\(y^2=x^3-26460x-1629936\)		$[(6181/5, 329329/5)]$
28224.di2	28224di2	28224.di	28224di	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \)	\( 2^{14} \cdot 3^{3} \cdot 7^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$2.368118469$	$1$		$5$	$18432$	$0.850687$	$54000$	$1.02720$	$3.47115$	$[0, 0, 0, -2940, 60368]$	\(y^2=x^3-2940x+60368\)		$[(16, 132)]$
28224.dj1	28224i4	28224.dj	28224i	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \)	\( 2^{14} \cdot 3^{9} \cdot 7^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$55296$	$1.399994$	$54000$	$1.02720$	$4.11437$	$[0, 0, 0, -26460, 1629936]$	\(y^2=x^3-26460x+1629936\)		$[ ]$
28224.dj2	28224i2	28224.dj	28224i	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \)	\( 2^{14} \cdot 3^{3} \cdot 7^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$18432$	$0.850687$	$54000$	$1.02720$	$3.47115$	$[0, 0, 0, -2940, -60368]$	\(y^2=x^3-2940x-60368\)		$[ ]$
30276.i1	30276c4	30276.i	30276c	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 29^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 29^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$151200$	$1.764112$	$54000$	$1.02720$	$4.50986$	$[0, 0, 0, -113535, -14487066]$	\(y^2=x^3-113535x-14487066\)		$[ ]$
30276.i2	30276c2	30276.i	30276c	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 29^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 29^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$50400$	$1.214806$	$54000$	$1.02720$	$3.87101$	$[0, 0, 0, -12615, 536558]$	\(y^2=x^3-12615x+536558\)		$[ ]$
34596.h1	34596d4	34596.h	34596d	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 31^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$10.38907905$	$1$		$1$	$181440$	$1.797459$	$54000$	$1.02720$	$4.49059$	$[0, 0, 0, -129735, 17695854]$	\(y^2=x^3-129735x+17695854\)		$[(-65154/19, 40712490/19)]$
34596.h2	34596d2	34596.h	34596d	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 31^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$3.463026350$	$1$		$3$	$60480$	$1.248152$	$54000$	$1.02720$	$3.85990$	$[0, 0, 0, -14415, -655402]$	\(y^2=x^3-14415x-655402\)		$[(-74, 78)]$
41616.bg1	41616bk4	41616.bg	41616bk	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 17^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$124416$	$1.497070$	$54000$	$1.02720$	$4.07369$	$[0, 0, 0, -39015, 2918322]$	\(y^2=x^3-39015x+2918322\)		$[ ]$
41616.bg2	41616bk2	41616.bg	41616bk	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 17^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$1$	$41472$	$0.947765$	$54000$	$1.02720$	$3.45395$	$[0, 0, 0, -4335, -108086]$	\(y^2=x^3-4335x-108086\)		$[ ]$
44100.by1	44100e4	44100.by	44100e	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 7^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$2.369973693$	$1$		$7$	$248832$	$1.858139$	$54000$	$1.02720$	$4.45676$	$[0, 0, 0, -165375, 25467750]$	\(y^2=x^3-165375x+25467750\)		$[(259, 98)]$
44100.by2	44100e2	44100.by	44100e	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 7^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$7.109921081$	$1$		$1$	$82944$	$1.308832$	$54000$	$1.02720$	$3.84038$	$[0, 0, 0, -18375, -943250]$	\(y^2=x^3-18375x-943250\)		$[(5761/6, 100009/6)]$
49284.e1	49284c4	49284.e	49284c	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 37^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 37^{6} \)	$2$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$6.260627603$	$1$		$9$	$290304$	$1.885923$	$54000$	$1.02720$	$4.44177$	$[0, 0, 0, -184815, -30087882]$	\(y^2=x^3-184815x-30087882\)		$[(703, 13690), (-249, 702)]$
49284.e2	49284c2	49284.e	49284c	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 37^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 37^{6} \)	$2$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$6.260627603$	$1$		$7$	$96768$	$1.336617$	$54000$	$1.02720$	$3.83174$	$[0, 0, 0, -20535, 1114366]$	\(y^2=x^3-20535x+1114366\)		$[(222, 2738), (62, 282)]$
51984.bq1	51984bo4	51984.bq	51984bo	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$22.18311211$	$1$		$1$	$145152$	$1.552685$	$54000$	$1.02720$	$4.05169$	$[0, 0, 0, -48735, -4074246]$	\(y^2=x^3-48735x-4074246\)		$[(-28412104146/14917, 857733259106340/14917)]$
51984.bq2	51984bo2	51984.bq	51984bo	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓							$7.394370706$	$1$		$1$	$48384$	$1.003378$	$54000$	$1.02720$	$3.44465$	$[0, 0, 0, -5415, 150898]$	\(y^2=x^3-5415x+150898\)		$[(662/7, 97140/7)]$

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