Elliptic curve search results

Results (46 matches)

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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
361.a1	361a2	361.a	361a	$2$	$19$	\( 19^{2} \)	\( - 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓	$19$	19.360.7.18	19B.1.13				$3.444541806$	$1$		$2$	$380$	$1.122070$	$-884736$	$1.31757$	$6.82557$	$[0, 0, 1, -13718, -619025]$	\(y^2+y=x^3-13718x-619025\)		$[(2527, 126891)]$
361.a2	361a1	361.a	361a	$2$	$19$	\( 19^{2} \)	\( - 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓	$19$	19.360.7.9	19B.1.6				$0.181291674$	$1$		$4$	$20$	$-0.350149$	$-884736$	$1.31757$	$3.82557$	$[0, 0, 1, -38, 90]$	\(y^2+y=x^3-38x+90\)		$[(0, 9)]$
3249.e1	3249a2	3249.e	3249a	$2$	$19$	\( 3^{2} \cdot 19^{2} \)	\( - 3^{6} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$12160$	$1.671377$	$-884736$	$1.31757$	$5.78605$	$[0, 0, 1, -123462, 16713668]$	\(y^2+y=x^3-123462x+16713668\)		$[]$
3249.e2	3249a1	3249.e	3249a	$2$	$19$	\( 3^{2} \cdot 19^{2} \)	\( - 3^{6} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$640$	$0.199157$	$-884736$	$1.31757$	$3.60124$	$[0, 0, 1, -342, -2437]$	\(y^2+y=x^3-342x-2437\)		$[]$
5776.i1	5776g2	5776.i	5776g	$2$	$19$	\( 2^{4} \cdot 19^{2} \)	\( - 2^{12} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$27360$	$1.815218$	$-884736$	$1.31757$	$5.60098$	$[0, 0, 0, -219488, 39617584]$	\(y^2=x^3-219488x+39617584\)		$[]$
5776.i2	5776g1	5776.i	5776g	$2$	$19$	\( 2^{4} \cdot 19^{2} \)	\( - 2^{12} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$1440$	$0.342999$	$-884736$	$1.31757$	$3.56130$	$[0, 0, 0, -608, -5776]$	\(y^2=x^3-608x-5776\)		$[]$
9025.f1	9025a2	9025.f	9025a	$2$	$19$	\( 5^{2} \cdot 19^{2} \)	\( - 5^{6} \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$13.07039459$	$1$		$0$	$53200$	$1.926790$	$-884736$	$1.31757$	$5.47353$	$[0, 0, 1, -342950, -77378094]$	\(y^2+y=x^3-342950x-77378094\)		$[(26975364/191, 59664634090/191)]$
9025.f2	9025a1	9025.f	9025a	$2$	$19$	\( 5^{2} \cdot 19^{2} \)	\( - 5^{6} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$0.687915504$	$1$		$4$	$2800$	$0.454570$	$-884736$	$1.31757$	$3.53380$	$[0, 0, 1, -950, 11281]$	\(y^2+y=x^3-950x+11281\)		$[(19, 9)]$
17689.g1	17689d2	17689.g	17689d	$2$	$19$	\( 7^{2} \cdot 19^{2} \)	\( - 7^{6} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$125400$	$2.095024$	$-884736$	$1.31757$	$5.30334$	$[0, 0, 1, -672182, 212325489]$	\(y^2+y=x^3-672182x+212325489\)		$[]$
17689.g2	17689d1	17689.g	17689d	$2$	$19$	\( 7^{2} \cdot 19^{2} \)	\( - 7^{6} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$6600$	$0.622807$	$-884736$	$1.31757$	$3.49707$	$[0, 0, 1, -1862, -30956]$	\(y^2+y=x^3-1862x-30956\)		$[]$
23104.z1	23104x2	23104.z	23104x	$2$	$19$	\( 2^{6} \cdot 19^{2} \)	\( - 2^{6} \cdot 19^{9} \)	$2$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$5.325900492$	$1$		$4$	$54720$	$1.468645$	$-884736$	$1.31757$	$4.41430$	$[0, 0, 0, -54872, 4952198]$	\(y^2=x^3-54872x+4952198\)		$[(361/2, 6859/2), (3971/5, 61731/5)]$
23104.z2	23104x1	23104.z	23104x	$2$	$19$	\( 2^{6} \cdot 19^{2} \)	\( - 2^{6} \cdot 19^{3} \)	$2$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$5.325900492$	$1$		$6$	$2880$	$-0.003575$	$-884736$	$1.31757$	$2.65603$	$[0, 0, 0, -152, -722]$	\(y^2=x^3-152x-722\)		$[(19, 57), (57/2, 19/2)]$
23104.bc1	23104a2	23104.bc	23104a	$2$	$19$	\( 2^{6} \cdot 19^{2} \)	\( - 2^{6} \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$19.94010943$	$1$		$0$	$54720$	$1.468645$	$-884736$	$1.31757$	$4.41430$	$[0, 0, 0, -54872, -4952198]$	\(y^2=x^3-54872x-4952198\)		$[(413167167/569, 8245366935161/569)]$
23104.bc2	23104a1	23104.bc	23104a	$2$	$19$	\( 2^{6} \cdot 19^{2} \)	\( - 2^{6} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1.049479443$	$1$		$2$	$2880$	$-0.003575$	$-884736$	$1.31757$	$2.65603$	$[0, 0, 0, -152, 722]$	\(y^2=x^3-152x+722\)		$[(7, 1)]$
43681.g1	43681h2	43681.g	43681h	$2$	$19$	\( 11^{2} \cdot 19^{2} \)	\( - 11^{6} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$452200$	$2.321018$	$-884736$	$1.31757$	$5.10847$	$[0, 0, 1, -1659878, 823921942]$	\(y^2+y=x^3-1659878x+823921942\)		$[]$
43681.g2	43681h1	43681.g	43681h	$2$	$19$	\( 11^{2} \cdot 19^{2} \)	\( - 11^{6} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$23800$	$0.848799$	$-884736$	$1.31757$	$3.45501$	$[0, 0, 1, -4598, -120123]$	\(y^2+y=x^3-4598x-120123\)		$[]$
51984.bu1	51984cc2	51984.bu	51984cc	$2$	$19$	\( 2^{4} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{12} \cdot 3^{6} \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$20.01261082$	$1$		$0$	$875520$	$2.364525$	$-884736$	$1.31757$	$5.07468$	$[0, 0, 0, -1975392, -1069674768]$	\(y^2=x^3-1975392x-1069674768\)		$[(81537565713/7067, 2664196565893983/7067)]$
51984.bu2	51984cc1	51984.bu	51984cc	$2$	$19$	\( 2^{4} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{12} \cdot 3^{6} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1.053295306$	$1$		$2$	$46080$	$0.892304$	$-884736$	$1.31757$	$3.44772$	$[0, 0, 0, -5472, 155952]$	\(y^2=x^3-5472x+155952\)		$[(57, 171)]$
61009.a1	61009a2	61009.a	61009a	$2$	$19$	\( 13^{2} \cdot 19^{2} \)	\( - 13^{6} \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$14.76988213$	$1$		$0$	$893760$	$2.404545$	$-884736$	$1.31757$	$5.04454$	$[0, 0, 1, -2318342, -1359997376]$	\(y^2+y=x^3-2318342x-1359997376\)		$[(22534096/113, 9651213903/113)]$
61009.a2	61009a1	61009.a	61009a	$2$	$19$	\( 13^{2} \cdot 19^{2} \)	\( - 13^{6} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$0.777362217$	$1$		$4$	$47040$	$0.932326$	$-884736$	$1.31757$	$3.44122$	$[0, 0, 1, -6422, 198279]$	\(y^2+y=x^3-6422x+198279\)		$[(39, 84)]$
81225.s1	81225p2	81225.s	81225p	$2$	$19$	\( 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 3^{6} \cdot 5^{6} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$1702400$	$2.476097$	$-884736$	$1.31757$	$4.99278$	$[0, 0, 1, -3086550, 2089208531]$	\(y^2+y=x^3-3086550x+2089208531\)		$[]$
81225.s2	81225p1	81225.s	81225p	$2$	$19$	\( 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 3^{6} \cdot 5^{6} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$89600$	$1.003876$	$-884736$	$1.31757$	$3.43005$	$[0, 0, 1, -8550, -304594]$	\(y^2+y=x^3-8550x-304594\)		$[]$
104329.f1	104329a2	104329.f	104329a	$2$	$19$	\( 17^{2} \cdot 19^{2} \)	\( - 17^{6} \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$45.09368903$	$1$		$0$	$1672000$	$2.538677$	$-884736$	$1.31757$	$4.94961$	$[0, 0, 1, -3964502, -3041268597]$	\(y^2+y=x^3-3964502x-3041268597\)		$[(2472529015166990726811/782964691, 103590659454310879163376010346748/782964691)]$
104329.f2	104329a1	104329.f	104329a	$2$	$19$	\( 17^{2} \cdot 19^{2} \)	\( - 17^{6} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$2.373352054$	$1$		$2$	$88000$	$1.066458$	$-884736$	$1.31757$	$3.42073$	$[0, 0, 1, -10982, 443398]$	\(y^2+y=x^3-10982x+443398\)		$[(76, 218)]$
144400.bs1	144400ba2	144400.bs	144400ba	$2$	$19$	\( 2^{4} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{12} \cdot 5^{6} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$9$	$3$	$0$	$3830400$	$2.619938$	$-884736$	$1.31757$	$4.89627$	$[0, 0, 0, -5487200, 4952198000]$	\(y^2=x^3-5487200x+4952198000\)		$[]$
144400.bs2	144400ba1	144400.bs	144400ba	$2$	$19$	\( 2^{4} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{12} \cdot 5^{6} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$9$	$3$	$0$	$201600$	$1.147718$	$-884736$	$1.31757$	$3.40922$	$[0, 0, 0, -15200, -722000]$	\(y^2=x^3-15200x-722000\)		$[]$
159201.t1	159201t2	159201.t	159201t	$2$	$19$	\( 3^{2} \cdot 7^{2} \cdot 19^{2} \)	\( - 3^{6} \cdot 7^{6} \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$26.73760462$	$1$		$0$	$4012800$	$2.644333$	$-884736$	$1.31757$	$4.88082$	$[0, 0, 1, -6049638, -5732788210]$	\(y^2+y=x^3-6049638x-5732788210\)		$[(90880387533294/87209, 846333021155455519817/87209)]$
159201.t2	159201t1	159201.t	159201t	$2$	$19$	\( 3^{2} \cdot 7^{2} \cdot 19^{2} \)	\( - 3^{6} \cdot 7^{6} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1.407242348$	$1$		$2$	$211200$	$1.172113$	$-884736$	$1.31757$	$3.40589$	$[0, 0, 1, -16758, 835805]$	\(y^2+y=x^3-16758x+835805\)		$[(57, 256)]$
190969.c1	190969c2	190969.c	190969c	$2$	$19$	\( 19^{2} \cdot 23^{2} \)	\( - 19^{9} \cdot 23^{6} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$4681600$	$2.689819$	$-884736$	$1.31757$	$4.85268$	$[0, 0, 1, -7256822, 7531674133]$	\(y^2+y=x^3-7256822x+7531674133\)		$[]$
190969.c2	190969c1	190969.c	190969c	$2$	$19$	\( 19^{2} \cdot 23^{2} \)	\( - 19^{3} \cdot 23^{6} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$246400$	$1.217598$	$-884736$	$1.31757$	$3.39981$	$[0, 0, 1, -20102, -1098072]$	\(y^2+y=x^3-20102x-1098072\)		$[]$
207936.cm1	207936v2	207936.cm	207936v	$2$	$19$	\( 2^{6} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{6} \cdot 3^{6} \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$18.66169270$	$1$		$0$	$1751040$	$2.017952$	$-884736$	$1.31757$	$4.16052$	$[0, 0, 0, -493848, -133709346]$	\(y^2=x^3-493848x-133709346\)		$[(8569560595/2203, 717189761051209/2203)]$
207936.cm2	207936v1	207936.cm	207936v	$2$	$19$	\( 2^{6} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{6} \cdot 3^{6} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$0.982194353$	$1$		$2$	$92160$	$0.545732$	$-884736$	$1.31757$	$2.71775$	$[0, 0, 0, -1368, 19494]$	\(y^2=x^3-1368x+19494\)		$[(19, 19)]$
207936.dc1	207936fk2	207936.dc	207936fk	$2$	$19$	\( 2^{6} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{6} \cdot 3^{6} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$1751040$	$2.017952$	$-884736$	$1.31757$	$4.16052$	$[0, 0, 0, -493848, 133709346]$	\(y^2=x^3-493848x+133709346\)		$[]$
207936.dc2	207936fk1	207936.dc	207936fk	$2$	$19$	\( 2^{6} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{6} \cdot 3^{6} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$92160$	$0.545732$	$-884736$	$1.31757$	$2.71775$	$[0, 0, 0, -1368, -19494]$	\(y^2=x^3-1368x-19494\)		$[]$
283024.bq1	283024bq2	283024.bq	283024bq	$2$	$19$	\( 2^{4} \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{12} \cdot 7^{6} \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$120.8703090$	$1$		$0$	$9028800$	$2.788174$	$-884736$	$1.31757$	$4.79461$	$[0, 0, 0, -10754912, -13588831312]$	\(y^2=x^3-10754912x-13588831312\)		$[(1719678267723221133136862781045606108755651271997455001/21300526428328747357173448, 95526073073240707615222864867520045167952885949936225805875911012902266761301821/21300526428328747357173448)]$
283024.bq2	283024bq1	283024.bq	283024bq	$2$	$19$	\( 2^{4} \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{12} \cdot 7^{6} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$6.361595210$	$1$		$0$	$475200$	$1.315954$	$-884736$	$1.31757$	$3.38728$	$[0, 0, 0, -29792, 1981168]$	\(y^2=x^3-29792x+1981168\)		$[(6441/8, 24149/8)]$
303601.f1	303601f2	303601.f	303601f	$2$	$19$	\( 19^{2} \cdot 29^{2} \)	\( - 19^{9} \cdot 29^{6} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$40.04991224$	$1$		$0$	$9576000$	$2.805717$	$-884736$	$1.31757$	$4.78464$	$[0, 0, 1, -11536838, -15097394628]$	\(y^2+y=x^3-11536838x-15097394628\)		$[(520175977003829094225/194362474, 11461789007997141988823598439517/194362474)]$
303601.f2	303601f1	303601.f	303601f	$2$	$19$	\( 19^{2} \cdot 29^{2} \)	\( - 19^{3} \cdot 29^{6} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$2.107890118$	$1$		$0$	$504000$	$1.333500$	$-884736$	$1.31757$	$3.38513$	$[0, 0, 1, -31958, 2201107]$	\(y^2+y=x^3-31958x+2201107\)		$[(-551/2, 15975/2)]$
346921.c1	346921c2	346921.c	346921c	$2$	$19$	\( 19^{2} \cdot 31^{2} \)	\( - 19^{9} \cdot 31^{6} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$4$	$2$	$0$	$11673600$	$2.839066$	$-884736$	$1.31757$	$4.76598$	$[0, 0, 1, -13182998, 18441366327]$	\(y^2+y=x^3-13182998x+18441366327\)		$[]$
346921.c2	346921c1	346921.c	346921c	$2$	$19$	\( 19^{2} \cdot 31^{2} \)	\( - 19^{3} \cdot 31^{6} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$4$	$2$	$0$	$614400$	$1.366844$	$-884736$	$1.31757$	$3.38110$	$[0, 0, 1, -36518, -2688638]$	\(y^2+y=x^3-36518x-2688638\)		$[]$
393129.bl1	393129bl2	393129.bl	393129bl	$2$	$19$	\( 3^{2} \cdot 11^{2} \cdot 19^{2} \)	\( - 3^{6} \cdot 11^{6} \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$25.15342195$	$1$		$0$	$14470400$	$2.870323$	$-884736$	$1.31757$	$4.74884$	$[0, 0, 1, -14938902, -22245892441]$	\(y^2+y=x^3-14938902x-22245892441\)		$[(14154605818761/54797, 18086295418469619782/54797)]$
393129.bl2	393129bl1	393129.bl	393129bl	$2$	$19$	\( 3^{2} \cdot 11^{2} \cdot 19^{2} \)	\( - 3^{6} \cdot 11^{6} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1.323864313$	$1$		$4$	$761600$	$1.398106$	$-884736$	$1.31757$	$3.37740$	$[0, 0, 1, -41382, 3243314]$	\(y^2+y=x^3-41382x+3243314\)		$[(114, 85)]$
442225.bq1	442225bq2	442225.bq	442225bq	$2$	$19$	\( 5^{2} \cdot 7^{2} \cdot 19^{2} \)	\( - 5^{6} \cdot 7^{6} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$17556000$	$2.899746$	$-884736$	$1.31757$	$4.73300$	$[0, 0, 1, -16804550, 26540686156]$	\(y^2+y=x^3-16804550x+26540686156\)		$[]$
442225.bq2	442225bq1	442225.bq	442225bq	$2$	$19$	\( 5^{2} \cdot 7^{2} \cdot 19^{2} \)	\( - 5^{6} \cdot 7^{6} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$924000$	$1.427525$	$-884736$	$1.31757$	$3.37399$	$[0, 0, 1, -46550, -3869469]$	\(y^2+y=x^3-46550x-3869469\)		$[]$
494209.i1	494209i2	494209.i	494209i	$2$	$19$	\( 19^{2} \cdot 37^{2} \)	\( - 19^{9} \cdot 37^{6} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$48.45663009$	$1$		$0$	$19753920$	$2.927528$	$-884736$	$1.31757$	$4.71831$	$[0, 0, 1, -18779942, -31355460662]$	\(y^2+y=x^3-18779942x-31355460662\)		$[(3342582640749438886885729/4556038962, 6108917671658029629966739058419064659/4556038962)]$
494209.i2	494209i1	494209.i	494209i	$2$	$19$	\( 19^{2} \cdot 37^{2} \)	\( - 19^{3} \cdot 37^{6} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$2.550348952$	$1$		$0$	$1039680$	$1.455311$	$-884736$	$1.31757$	$3.37082$	$[0, 0, 1, -52022, 4571433]$	\(y^2+y=x^3-52022x+4571433\)		$[(4921/6, 25903/6)]$

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