Elliptic curve search results

Results (26 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	Manin constant
2730.w6	2730v6	2730.w	2730v	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \cdot 13^{8} \)	$0$	$\Z/8\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.96.0.99	2B	$14560$	$768$	$13$	$1$	$1$		$6$	$65536$	$2.383423$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.56072$	$[1, 1, 1, -33200, 216426017]$	\(y^2+xy+y=x^3+x^2-33200x+216426017\)	2.3.0.a.1, 4.24.0-4.d.1.1, 8.96.0-8.n.2.5, 56.192.1-56.cm.2.2, 1040.192.1.?, $\ldots$	$[ ]$	$1$
8190.a6	8190l6	8190.a	8190l	$8$	$16$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$43680$	$768$	$13$	$1.412243559$	$1$		$4$	$524288$	$2.932732$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.49236$	$[1, -1, 0, -298800, -5843801264]$	\(y^2+xy=x^3-x^2-298800x-5843801264\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 12.24.0-4.d.1.1, 24.96.0-8.n.2.6, $\ldots$	$[(3888, 225556)]$	$1$
13650.bo6	13650bd6	13650.bo	13650bd	$8$	$16$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{14} \cdot 7^{2} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$14560$	$768$	$13$	$1.852568322$	$1$		$6$	$1572864$	$3.188145$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.46594$	$[1, 0, 1, -830001, 27054912148]$	\(y^2+xy+y=x^3-830001x+27054912148\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 20.24.0-4.d.1.1, 40.96.0-8.n.2.3, $\ldots$	$[(812, 163656)]$	$1$
19110.cu6	19110cm6	19110.cu	19110cm	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7^{8} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.172	2B	$14560$	$768$	$13$	$1$	$4$	$2$	$0$	$3145728$	$3.356380$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.45004$	$[1, 0, 0, -1626801, -74239004295]$	\(y^2+xy=x^3-1626801x-74239004295\)	2.3.0.a.1, 4.12.0.d.1, 8.96.0-8.n.2.4, 28.24.0-4.d.1.1, 56.192.1-56.cm.2.1, $\ldots$	$[ ]$	$1$
21840.cg6	21840cl5	21840.cg	21840cl	$8$	$16$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{16} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \cdot 13^{8} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.101	2B	$14560$	$768$	$13$	$1$	$1$		$3$	$1572864$	$3.076572$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.02778$	$[0, 1, 0, -531200, -13852327500]$	\(y^2=x^3+x^2-531200x-13852327500\)	2.3.0.a.1, 4.24.0-4.d.1.1, 8.96.0-8.n.2.2, 56.192.1-56.cm.2.5, 1040.192.1.?, $\ldots$	$[ ]$	$1$
35490.f6	35490k5	35490.f	35490k	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \cdot 13^{14} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$14560$	$768$	$13$	$1$	$1$		$0$	$11010048$	$3.665901$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.42345$	$[1, 1, 0, -5610803, 475516013757]$	\(y^2+xy=x^3+x^2-5610803x+475516013757\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 52.24.0-4.d.1.1, 56.96.1.cm.2, $\ldots$	$[ ]$	$1$
40950.ef6	40950eg5	40950.ef	40950eg	$8$	$16$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{14} \cdot 7^{2} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$43680$	$768$	$13$	$1$	$4$	$2$	$0$	$12582912$	$3.737450$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.41774$	$[1, -1, 1, -7470005, -730482628003]$	\(y^2+xy+y=x^3-x^2-7470005x-730482628003\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 56.96.1.cm.2, 60.24.0-4.d.1.1, $\ldots$	$[ ]$	$1$
57330.bw6	57330ck5	57330.bw	57330ck	$8$	$16$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 7^{8} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$43680$	$768$	$13$	$1$	$1$		$0$	$25165824$	$3.905685$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.40491$	$[1, -1, 0, -14641209, 2004453115965]$	\(y^2+xy=x^3-x^2-14641209x+2004453115965\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.0-8.n.2.3, 56.96.1.cm.2, $\ldots$	$[ ]$	$1$
65520.bx6	65520de5	65520.bx	65520de	$8$	$16$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{16} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$43680$	$768$	$13$	$4.309009433$	$1$		$3$	$12582912$	$3.625877$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.02503$	$[0, 0, 0, -4780803, 374008061698]$	\(y^2=x^3-4780803x+374008061698\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 12.24.0-4.d.1.1, 24.96.0-8.n.2.1, $\ldots$	$[(13023, 1587586)]$	$1$
87360.br6	87360eo5	87360.br	87360eo	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{22} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.175	2B	$14560$	$768$	$13$	$19.10463752$	$1$		$1$	$12582912$	$3.423145$	$-4047051964543660801/20235220197806250000$	$1.07811$	$5.65887$	$[0, -1, 0, -2124801, -110816495199]$	\(y^2=x^3-x^2-2124801x-110816495199\)	2.3.0.a.1, 4.12.0.d.1, 8.96.0-8.n.2.6, 28.24.0-4.d.1.2, 56.192.1-56.cm.2.4, $\ldots$	$[(749294495/299, 18130844624816/299)]$	$1$
87360.du6	87360bx5	87360.du	87360bx	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{22} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.176	2B	$14560$	$768$	$13$	$1$	$1$		$1$	$12582912$	$3.423145$	$-4047051964543660801/20235220197806250000$	$1.07811$	$5.65887$	$[0, 1, 0, -2124801, 110816495199]$	\(y^2=x^3+x^2-2124801x+110816495199\)	2.3.0.a.1, 4.12.0.d.1, 8.96.0-8.n.2.1, 28.24.0-4.d.1.2, 56.192.1-56.cm.2.7, $\ldots$	$[ ]$	$1$
95550.cs6	95550bn5	95550.cs	95550bn	$8$	$16$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{14} \cdot 7^{8} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$14560$	$768$	$13$	$4.324385538$	$1$		$2$	$75497472$	$4.161102$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.38687$	$[1, 1, 0, -40670025, -9279875536875]$	\(y^2+xy=x^3+x^2-40670025x-9279875536875\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 40.96.0-8.n.2.6, 56.96.1.cm.2, $\ldots$	$[(60675, 14517150)]$	$1$
106470.gg6	106470fz5	106470.gg	106470fz	$8$	$16$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 13^{14} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$43680$	$768$	$13$	$6.769373926$	$1$		$2$	$88080384$	$4.215202$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.38326$	$[1, -1, 1, -50497232, -12838982868669]$	\(y^2+xy+y=x^3-x^2-50497232x-12838982868669\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 56.96.1.cm.2, 156.24.0.?, $\ldots$	$[(26391, 2038329)]$	$1$
109200.e6	109200cz5	109200.e	109200cz	$8$	$16$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{16} \cdot 3^{4} \cdot 5^{14} \cdot 7^{2} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$14560$	$768$	$13$	$1$	$1$		$1$	$37748736$	$3.881290$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.02393$	$[0, -1, 0, -13280008, -1731514377488]$	\(y^2=x^3-x^2-13280008x-1731514377488\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 20.24.0-4.d.1.1, 40.96.0-8.n.2.2, $\ldots$	$[ ]$	$1$
152880.g6	152880ed5	152880.g	152880ed	$8$	$16$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{16} \cdot 3^{4} \cdot 5^{8} \cdot 7^{8} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.172	2B	$14560$	$768$	$13$	$15.00144741$	$1$		$1$	$75497472$	$4.049530$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.02325$	$[0, -1, 0, -26028816, 4751296274880]$	\(y^2=x^3-x^2-26028816x+4751296274880\)	2.3.0.a.1, 4.12.0.d.1, 8.96.0-8.n.2.4, 28.24.0-4.d.1.1, 56.192.1-56.cm.2.6, $\ldots$	$[(45575914/5, 307681533138/5)]$	$1$
177450.id6	177450bm5	177450.id	177450bm	$8$	$16$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{14} \cdot 7^{2} \cdot 13^{14} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.197	2B	$14560$	$768$	$13$	$4.676542802$	$1$		$4$	$264241152$	$4.470619$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.36706$	$[1, 0, 0, -140270088, 59439782259792]$	\(y^2+xy=x^3-140270088x+59439782259792\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 16.96.0-8.n.2.2, 56.96.1.cm.2, $\ldots$	$[(-36318, 4096284)]$	$1$
248430.ed6	248430ed6	248430.ed	248430ed	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7^{8} \cdot 13^{14} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$14560$	$768$	$13$	$1$	$1$		$0$	$528482304$	$4.638855$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.35712$	$[1, 0, 1, -274929373, -163102817506744]$	\(y^2+xy+y=x^3-274929373x-163102817506744\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 56.96.1.cm.2, 80.96.0.?, $\ldots$	$[ ]$	$1$
262080.jw6	262080jw6	262080.jw	262080jw	$8$	$16$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{22} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$43680$	$768$	$13$	$7.257578973$	$1$		$3$	$100663296$	$3.972450$	$-4047051964543660801/20235220197806250000$	$1.07811$	$5.68891$	$[0, 0, 0, -19123212, -2992064493584]$	\(y^2=x^3-19123212x-2992064493584\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.0-8.n.2.2, 56.96.1.cm.2, $\ldots$	$[(727742, 620807040)]$	$1$
262080.kq6	262080kq5	262080.kq	262080kq	$8$	$16$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{22} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$43680$	$768$	$13$	$6.131243213$	$1$		$3$	$100663296$	$3.972450$	$-4047051964543660801/20235220197806250000$	$1.07811$	$5.68891$	$[0, 0, 0, -19123212, 2992064493584]$	\(y^2=x^3-19123212x+2992064493584\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.0-8.n.2.5, 56.96.1.cm.2, $\ldots$	$[(14048, 2344300)]$	$1$
283920.fb6	283920fb6	283920.fb	283920fb	$8$	$16$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{16} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \cdot 13^{14} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$14560$	$768$	$13$	$21.85153988$	$1$		$1$	$264241152$	$4.359047$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.02211$	$[0, 1, 0, -89772856, -30433204426156]$	\(y^2=x^3+x^2-89772856x-30433204426156\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 52.24.0-4.d.1.1, 56.96.1.cm.2, $\ldots$	$[(137886646181/1342, 49027690418769375/1342)]$	$1$
286650.jx6	286650jx5	286650.jx	286650jx	$8$	$16$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{14} \cdot 7^{8} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$43680$	$768$	$13$	$5.099577522$	$1$		$4$	$603979776$	$4.710403$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.35305$	$[1, -1, 1, -366030230, 250556273465397]$	\(y^2+xy+y=x^3-x^2-366030230x+250556273465397\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 56.96.1.cm.2, 120.96.0.?, $\ldots$	$[(-29821, 15343035)]$	$1$
327600.fs6	327600fs5	327600.fs	327600fs	$8$	$16$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{16} \cdot 3^{10} \cdot 5^{14} \cdot 7^{2} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$43680$	$768$	$13$	$24.18227065$	$1$		$1$	$301989888$	$4.430595$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.02186$	$[0, 0, 0, -119520075, 46751007712250]$	\(y^2=x^3-119520075x+46751007712250\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 56.96.1.cm.2, 60.24.0-4.d.1.1, $\ldots$	$[(6060096626095/8559, 15396362778842031250/8559)]$	$1$
330330.bh6	330330bh6	330330.bh	330330bh	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \cdot 11^{6} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$160160$	$768$	$13$	$1$	$1$		$0$	$83886080$	$3.582371$	$-4047051964543660801/20235220197806250000$	$1.07811$	$5.21695$	$[1, 1, 0, -4017202, -288083114876]$	\(y^2+xy=x^3+x^2-4017202x-288083114876\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 44.24.0-4.d.1.1, 56.96.1.cm.2, $\ldots$	$[ ]$	$1$
436800.gl6	436800gl5	436800.gl	436800gl	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{22} \cdot 3^{4} \cdot 5^{14} \cdot 7^{2} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$14560$	$768$	$13$	$2.102215134$	$1$		$5$	$301989888$	$4.227867$	$-4047051964543660801/20235220197806250000$	$1.07811$	$5.70114$	$[0, -1, 0, -53120033, 13852168139937]$	\(y^2=x^3-x^2-53120033x+13852168139937\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 40.96.0-8.n.2.1, 56.96.1.cm.2, $\ldots$	$[(-13768, 3460275)]$	$1$
436800.ol6	436800ol6	436800.ol	436800ol	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{22} \cdot 3^{4} \cdot 5^{14} \cdot 7^{2} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$14560$	$768$	$13$	$1$	$1$		$1$	$301989888$	$4.227867$	$-4047051964543660801/20235220197806250000$	$1.07811$	$5.70114$	$[0, 1, 0, -53120033, -13852168139937]$	\(y^2=x^3+x^2-53120033x-13852168139937\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 40.96.0-8.n.2.4, 56.96.1.cm.2, $\ldots$	$[ ]$	$1$
458640.nh6	458640nh6	458640.nh	458640nh	$8$	$16$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{16} \cdot 3^{10} \cdot 5^{8} \cdot 7^{8} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$43680$	$768$	$13$	$31.19254553$	$1$		$1$	$603979776$	$4.598831$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.02129$	$[0, 0, 0, -234259347, -128284765162414]$	\(y^2=x^3-234259347x-128284765162414\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.0-8.n.2.3, 56.96.1.cm.2, $\ldots$	$[(4156102375641223/197817, 250222447194214664723050/197817)]$	$1$

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