Elliptic curve search results

Results (30 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
2850.k2	2850n1	2850.k	2850n	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{7} \cdot 5^{3} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$0.189944403$	$1$		$13$	$1344$	$0.337361$	$3936827539/3158028$	$0.95500$	$3.38425$	$[1, 0, 1, 164, 518]$	\(y^2+xy+y=x^3+164x+518\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(7, 41)]$
2850.s2	2850v1	2850.s	2850v	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{7} \cdot 5^{9} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$4.165590026$	$1$		$3$	$6720$	$1.142080$	$3936827539/3158028$	$0.95500$	$4.59814$	$[1, 1, 1, 4112, 64781]$	\(y^2+xy+y=x^3+x^2+4112x+64781\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(985, 30507)]$
8550.j2	8550q1	8550.j	8550q	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{13} \cdot 5^{9} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$3.260155191$	$1$		$5$	$53760$	$1.691387$	$3936827539/3158028$	$0.95500$	$4.76825$	$[1, -1, 0, 37008, -1712084]$	\(y^2+xy=x^3-x^2+37008x-1712084\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(215, 3911)]$
8550.bc2	8550bk1	8550.bc	8550bk	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{13} \cdot 5^{3} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$10752$	$0.886667$	$3936827539/3158028$	$0.95500$	$3.70166$	$[1, -1, 1, 1480, -13993]$	\(y^2+xy+y=x^3-x^2+1480x-13993\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
22800.z2	22800cp1	22800.z	22800cp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{14} \cdot 3^{7} \cdot 5^{3} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$32256$	$1.030508$	$3936827539/3158028$	$0.95500$	$3.51185$	$[0, -1, 0, 2632, -33168]$	\(y^2=x^3-x^2+2632x-33168\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
22800.cy2	22800dp1	22800.cy	22800dp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{14} \cdot 3^{7} \cdot 5^{9} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1.169975480$	$1$		$9$	$161280$	$1.835228$	$3936827539/3158028$	$0.95500$	$4.47419$	$[0, 1, 0, 65792, -4014412]$	\(y^2=x^3+x^2+65792x-4014412\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(308, 6750)]$
54150.z2	54150bj1	54150.z	54150bj	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{2} \cdot 3^{7} \cdot 5^{9} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$2419200$	$2.614300$	$3936827539/3158028$	$0.95500$	$4.97685$	$[1, 0, 1, 1484424, -432458702]$	\(y^2+xy+y=x^3+1484424x-432458702\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
54150.bt2	54150cd1	54150.bt	54150cd	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{2} \cdot 3^{7} \cdot 5^{3} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$483840$	$1.809582$	$3936827539/3158028$	$0.95500$	$4.09088$	$[1, 1, 1, 59377, -3435919]$	\(y^2+xy+y=x^3+x^2+59377x-3435919\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
68400.cy2	68400gh1	68400.cy	68400gh	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{14} \cdot 3^{13} \cdot 5^{9} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$2.127887167$	$1$		$3$	$1290240$	$2.384533$	$3936827539/3158028$	$0.95500$	$4.62476$	$[0, 0, 0, 592125, 108981250]$	\(y^2=x^3+592125x+108981250\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(209, 15552)]$
68400.de2	68400gg1	68400.de	68400gg	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{14} \cdot 3^{13} \cdot 5^{3} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$2.712104213$	$1$		$5$	$258048$	$1.579815$	$3936827539/3158028$	$0.95500$	$3.75738$	$[0, 0, 0, 23685, 871850]$	\(y^2=x^3+23685x+871850\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(55, 1530)]$
91200.cg2	91200gq1	91200.cg	91200gq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{20} \cdot 3^{7} \cdot 5^{9} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$9.578256056$	$1$		$1$	$1290240$	$2.181801$	$3936827539/3158028$	$0.95500$	$4.29525$	$[0, -1, 0, 263167, -32378463]$	\(y^2=x^3-x^2+263167x-32378463\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(56296/5, 13678081/5)]$
91200.cs2	91200ca1	91200.cs	91200ca	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{20} \cdot 3^{7} \cdot 5^{3} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$3.229955124$	$1$		$5$	$258048$	$1.377083$	$3936827539/3158028$	$0.95500$	$3.44972$	$[0, -1, 0, 10527, 254817]$	\(y^2=x^3-x^2+10527x+254817\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(-13, 340)]$
91200.gp2	91200ip1	91200.gp	91200ip	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{20} \cdot 3^{7} \cdot 5^{3} \cdot 19^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1.385495586$	$1$		$23$	$258048$	$1.377083$	$3936827539/3158028$	$0.95500$	$3.44972$	$[0, 1, 0, 10527, -254817]$	\(y^2=x^3+x^2+10527x-254817\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(87, 1152), (42, 513)]$
91200.hj2	91200en1	91200.hj	91200en	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{20} \cdot 3^{7} \cdot 5^{9} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$1290240$	$2.181801$	$3936827539/3158028$	$0.95500$	$4.29525$	$[0, 1, 0, 263167, 32378463]$	\(y^2=x^3+x^2+263167x+32378463\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
139650.h2	139650ho1	139650.h	139650ho	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{7} \cdot 5^{3} \cdot 7^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$516096$	$1.310316$	$3936827539/3158028$	$0.95500$	$3.25802$	$[1, 1, 0, 8060, -169700]$	\(y^2+xy=x^3+x^2+8060x-169700\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
139650.hk2	139650e1	139650.hk	139650e	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{7} \cdot 5^{9} \cdot 7^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$2580480$	$2.115036$	$3936827539/3158028$	$0.95500$	$4.07314$	$[1, 0, 0, 201487, -21615483]$	\(y^2+xy=x^3+201487x-21615483\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
162450.bg2	162450cp1	162450.bg	162450cp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{2} \cdot 3^{13} \cdot 5^{3} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$3870720$	$2.358887$	$3936827539/3158028$	$0.95500$	$4.26569$	$[1, -1, 0, 534393, 93304201]$	\(y^2+xy=x^3-x^2+534393x+93304201\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
162450.dz2	162450g1	162450.dz	162450g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{2} \cdot 3^{13} \cdot 5^{9} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$12.47236811$	$1$		$1$	$19353600$	$3.163605$	$3936827539/3158028$	$0.95500$	$5.07053$	$[1, -1, 1, 13359820, 11676384947]$	\(y^2+xy+y=x^3-x^2+13359820x+11676384947\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(33672225/383, 6817984991417/383)]$
273600.hc2	273600hc1	273600.hc	273600hc	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{20} \cdot 3^{13} \cdot 5^{3} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$2064384$	$1.926388$	$3936827539/3158028$	$0.95500$	$3.67351$	$[0, 0, 0, 94740, -6974800]$	\(y^2=x^3+94740x-6974800\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
273600.hl2	273600hl1	273600.hl	273600hl	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{20} \cdot 3^{13} \cdot 5^{9} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$10321920$	$2.731106$	$3936827539/3158028$	$0.95500$	$4.44485$	$[0, 0, 0, 2368500, -871850000]$	\(y^2=x^3+2368500x-871850000\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
273600.ja2	273600ja1	273600.ja	273600ja	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{20} \cdot 3^{13} \cdot 5^{3} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$2064384$	$1.926388$	$3936827539/3158028$	$0.95500$	$3.67351$	$[0, 0, 0, 94740, 6974800]$	\(y^2=x^3+94740x+6974800\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
273600.jj2	273600jj1	273600.jj	273600jj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{20} \cdot 3^{13} \cdot 5^{9} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$4$	$2$	$1$	$10321920$	$2.731106$	$3936827539/3158028$	$0.95500$	$4.44485$	$[0, 0, 0, 2368500, 871850000]$	\(y^2=x^3+2368500x+871850000\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
344850.bb2	344850bb1	344850.bb	344850bb	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{7} \cdot 5^{9} \cdot 11^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$8601600$	$2.341026$	$3936827539/3158028$	$0.95500$	$3.99706$	$[1, 1, 0, 497550, -83736000]$	\(y^2+xy=x^3+x^2+497550x-83736000\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
344850.gs2	344850gs1	344850.gs	344850gs	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{7} \cdot 5^{3} \cdot 11^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$1720320$	$1.536308$	$3936827539/3158028$	$0.95500$	$3.23973$	$[1, 0, 0, 19902, -669888]$	\(y^2+xy=x^3+19902x-669888\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
418950.hz2	418950hz1	418950.hz	418950hz	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{13} \cdot 5^{9} \cdot 7^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$4.721117763$	$1$		$3$	$20643840$	$2.664341$	$3936827539/3158028$	$0.95500$	$4.23666$	$[1, -1, 0, 1813383, 583618041]$	\(y^2+xy=x^3-x^2+1813383x+583618041\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(13488, 1567653)]$
418950.pr2	418950pr1	418950.pr	418950pr	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{13} \cdot 5^{3} \cdot 7^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$4128768$	$1.859623$	$3936827539/3158028$	$0.95500$	$3.49072$	$[1, -1, 1, 72535, 4654437]$	\(y^2+xy+y=x^3-x^2+72535x+4654437\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
433200.dg2	433200dg1	433200.dg	433200dg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{14} \cdot 3^{7} \cdot 5^{9} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$9$	$3$	$1$	$58060800$	$3.307446$	$3936827539/3158028$	$0.95500$	$4.82034$	$[0, -1, 0, 23750792, 27677356912]$	\(y^2=x^3-x^2+23750792x+27677356912\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
433200.il2	433200il1	433200.il	433200il	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{14} \cdot 3^{7} \cdot 5^{3} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1.427589854$	$1$		$7$	$11612160$	$2.502728$	$3936827539/3158028$	$0.95500$	$4.07632$	$[0, 1, 0, 950032, 221798868]$	\(y^2=x^3+x^2+950032x+221798868\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(82, 17328)]$
481650.be2	481650be1	481650.be	481650be	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{7} \cdot 5^{9} \cdot 13^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$11.69278260$	$1$		$1$	$14515200$	$2.424557$	$3936827539/3158028$	$0.95500$	$3.97160$	$[1, 1, 0, 694925, 138849625]$	\(y^2+xy=x^3+x^2+694925x+138849625\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(298940/43, 1264346165/43)]$
481650.hz2	481650hz1	481650.hz	481650hz	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{2} \cdot 3^{7} \cdot 5^{3} \cdot 13^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$2.221609455$	$1$		$3$	$2903040$	$1.619837$	$3936827539/3158028$	$0.95500$	$3.23361$	$[1, 0, 0, 27797, 1110797]$	\(y^2+xy=x^3+27797x+1110797\)	2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(2, 1079)]$

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