Elliptic curve search results

Results (26 matches)

 

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
2730.bd4	2730bd4	2730.bd	2730bd	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{3} \cdot 3^{24} \cdot 5^{3} \cdot 7 \cdot 13 \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.6, 3.8.0.1	2B, 3B.1.1	$10920$	$384$	$5$	$1$	$4$	$2$	$4$	$36864$	$2.038475$	$13527956825588849127121/25701087819771000$	$1.13639$	$6.44068$	$[1, 0, 0, -496405, -134437975]$	\(y^2+xy=x^3-496405x-134437975\)	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.5, $\ldots$	$[]$
8190.h4	8190m4	8190.h	8190m	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{3} \cdot 3^{30} \cdot 5^{3} \cdot 7 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$10920$	$384$	$5$	$1$	$4$	$2$	$0$	$294912$	$2.587780$	$13527956825588849127121/25701087819771000$	$1.13639$	$6.38695$	$[1, -1, 0, -4467645, 3629825325]$	\(y^2+xy=x^3-x^2-4467645x+3629825325\)	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$	$[]$
13650.d4	13650a4	13650.d	13650a	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{3} \cdot 3^{24} \cdot 5^{9} \cdot 7 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$7.739677046$	$4$	$2$	$2$	$884736$	$2.843193$	$13527956825588849127121/25701087819771000$	$1.13639$	$6.36619$	$[1, 1, 0, -12410125, -16804746875]$	\(y^2+xy=x^3+x^2-12410125x-16804746875\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(9455, 838610)]$
19110.bq4	19110bo4	19110.bq	19110bo	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{3} \cdot 3^{24} \cdot 5^{3} \cdot 7^{7} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.8, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$6.953959610$	$1$		$2$	$1769472$	$3.011429$	$13527956825588849127121/25701087819771000$	$1.13639$	$6.35369$	$[1, 1, 1, -24323846, 46087901579]$	\(y^2+xy+y=x^3+x^2-24323846x+46087901579\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.4, $\ldots$	$[(3151, 25655)]$
21840.w4	21840bk5	21840.w	21840bk	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{15} \cdot 3^{24} \cdot 5^{3} \cdot 7 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.6, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$4$	$2$	$1$	$884736$	$2.731625$	$13527956825588849127121/25701087819771000$	$1.13639$	$5.93272$	$[0, -1, 0, -7942480, 8604030400]$	\(y^2=x^3-x^2-7942480x+8604030400\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$	$[]$
35490.z4	35490x5	35490.z	35490x	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{3} \cdot 3^{24} \cdot 5^{3} \cdot 7 \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$4$	$2$	$0$	$6193152$	$3.320950$	$13527956825588849127121/25701087819771000$	$1.13639$	$6.33280$	$[1, 0, 1, -83892449, -295276338628]$	\(y^2+xy+y=x^3-83892449x-295276338628\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
40950.dh4	40950dm5	40950.dh	40950dm	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{3} \cdot 3^{30} \cdot 5^{9} \cdot 7 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$7.504019094$	$1$		$2$	$7077888$	$3.392502$	$13527956825588849127121/25701087819771000$	$1.13639$	$6.32831$	$[1, -1, 1, -111691130, 453616474497]$	\(y^2+xy+y=x^3-x^2-111691130x+453616474497\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(6375, 22091)]$
57330.cg4	57330ce5	57330.cg	57330ce	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{3} \cdot 3^{30} \cdot 5^{3} \cdot 7^{7} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$4$	$2$	$0$	$14155776$	$3.560738$	$13527956825588849127121/25701087819771000$	$1.13639$	$6.31823$	$[1, -1, 0, -218914614, -1244592257252]$	\(y^2+xy=x^3-x^2-218914614x-1244592257252\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
65520.r4	65520cq5	65520.r	65520cq	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{15} \cdot 3^{30} \cdot 5^{3} \cdot 7 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$4$	$2$	$1$	$7077888$	$3.280930$	$13527956825588849127121/25701087819771000$	$1.13639$	$5.93939$	$[0, 0, 0, -71482323, -232237338478]$	\(y^2=x^3-71482323x-232237338478\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.4, $\ldots$	$[]$
87360.bl4	87360m5	87360.bl	87360m	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{21} \cdot 3^{24} \cdot 5^{3} \cdot 7 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.12, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$16$	$2$	$1$	$7077888$	$3.078197$	$13527956825588849127121/25701087819771000$	$1.13639$	$5.57540$	$[0, -1, 0, -31769921, -68800473279]$	\(y^2=x^3-x^2-31769921x-68800473279\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.2, $\ldots$	$[]$
87360.eb4	87360fu5	87360.eb	87360fu	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{21} \cdot 3^{24} \cdot 5^{3} \cdot 7 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.12, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$4.626944474$	$1$		$5$	$7077888$	$3.078197$	$13527956825588849127121/25701087819771000$	$1.13639$	$5.57540$	$[0, 1, 0, -31769921, 68800473279]$	\(y^2=x^3+x^2-31769921x+68800473279\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.2, $\ldots$	$[(3397, 9468)]$
95550.ew4	95550ej5	95550.ew	95550ej	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{3} \cdot 3^{24} \cdot 5^{9} \cdot 7^{7} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$1$		$0$	$42467328$	$3.816151$	$13527956825588849127121/25701087819771000$	$1.13639$	$6.30405$	$[1, 0, 1, -608096151, 5762203889698]$	\(y^2+xy+y=x^3-608096151x+5762203889698\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
106470.fd4	106470fe5	106470.fd	106470fe	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{3} \cdot 3^{30} \cdot 5^{3} \cdot 7 \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$4$	$2$	$0$	$49545216$	$3.870258$	$13527956825588849127121/25701087819771000$	$1.13639$	$6.30121$	$[1, -1, 1, -755032037, 7972461142949]$	\(y^2+xy+y=x^3-x^2-755032037x+7972461142949\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
109200.ge4	109200fz5	109200.ge	109200fz	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{15} \cdot 3^{24} \cdot 5^{9} \cdot 7 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$1$		$1$	$21233664$	$3.536343$	$13527956825588849127121/25701087819771000$	$1.13639$	$5.94206$	$[0, 1, 0, -198562008, 1075106675988]$	\(y^2=x^3+x^2-198562008x+1075106675988\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
152880.ey4	152880ca5	152880.ey	152880ca	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{15} \cdot 3^{24} \cdot 5^{3} \cdot 7^{7} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.7, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$17.79786116$	$1$		$7$	$42467328$	$3.704578$	$13527956825588849127121/25701087819771000$	$1.13639$	$5.94369$	$[0, 1, 0, -389181536, -2950404064140]$	\(y^2=x^3+x^2-389181536x-2950404064140\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.3, $\ldots$	$[(-11036, 24786), (31084, 3871314)]$
177450.hb4	177450dr5	177450.hb	177450dr	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{3} \cdot 3^{24} \cdot 5^{9} \cdot 7 \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.8, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$4.736643630$	$4$	$2$	$4$	$148635648$	$4.125671$	$13527956825588849127121/25701087819771000$	$1.13639$	$6.28848$	$[1, 1, 1, -2097311213, -36909542328469]$	\(y^2+xy+y=x^3+x^2-2097311213x-36909542328469\)	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.48.0-12.g.1.7, $\ldots$	$[(-26255, 253952)]$
248430.cb4	248430cb4	248430.cb	248430cb	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{3} \cdot 3^{24} \cdot 5^{3} \cdot 7^{7} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$9.179964803$	$1$		$0$	$297271296$	$4.293907$	$13527956825588849127121/25701087819771000$	$1.13639$	$6.28067$	$[1, 1, 0, -4110729977, 101275673419341]$	\(y^2+xy=x^3+x^2-4110729977x+101275673419341\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(371173/3, 36573358/3)]$
262080.im4	262080im5	262080.im	262080im	$8$	$12$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{21} \cdot 3^{30} \cdot 5^{3} \cdot 7 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$4$	$2$	$1$	$56623104$	$3.627502$	$13527956825588849127121/25701087819771000$	$1.13639$	$5.61278$	$[0, 0, 0, -285929292, -1857898707824]$	\(y^2=x^3-285929292x-1857898707824\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
262080.ll4	262080ll4	262080.ll	262080ll	$8$	$12$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{21} \cdot 3^{30} \cdot 5^{3} \cdot 7 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$4$	$2$	$1$	$56623104$	$3.627502$	$13527956825588849127121/25701087819771000$	$1.13639$	$5.61278$	$[0, 0, 0, -285929292, 1857898707824]$	\(y^2=x^3-285929292x+1857898707824\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
283920.bp4	283920bp4	283920.bp	283920bp	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{15} \cdot 3^{24} \cdot 5^{3} \cdot 7 \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$29.50540402$	$1$		$1$	$148635648$	$4.014099$	$13527956825588849127121/25701087819771000$	$1.13639$	$5.94647$	$[0, -1, 0, -1342279176, 18897685672176]$	\(y^2=x^3-x^2-1342279176x+18897685672176\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(171761332940986/28417, 2219657708634609509370/28417)]$
286650.mt4	286650mt5	286650.mt	286650mt	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{3} \cdot 3^{30} \cdot 5^{9} \cdot 7^{7} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$14.96777178$	$4$	$2$	$0$	$339738624$	$4.365456$	$13527956825588849127121/25701087819771000$	$1.13639$	$6.27747$	$[1, -1, 1, -5472865355, -155579505021853]$	\(y^2+xy+y=x^3-x^2-5472865355x-155579505021853\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(-78738623/43, 41758938622/43)]$
327600.ks4	327600ks5	327600.ks	327600ks	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{15} \cdot 3^{30} \cdot 5^{9} \cdot 7 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$16$	$2$	$1$	$169869312$	$4.085648$	$13527956825588849127121/25701087819771000$	$1.13639$	$5.94707$	$[0, 0, 0, -1787058075, -29029667309750]$	\(y^2=x^3-1787058075x-29029667309750\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
330330.cr4	330330cr4	330330.cr	330330cr	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2^{3} \cdot 3^{24} \cdot 5^{3} \cdot 7 \cdot 11^{6} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$120120$	$384$	$5$	$3.497400999$	$1$		$12$	$53084160$	$3.237423$	$13527956825588849127121/25701087819771000$	$1.13639$	$5.14221$	$[1, 0, 1, -60065008, 178876879718]$	\(y^2+xy+y=x^3-60065008x+178876879718\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(4804, 32225), (4894, 43835)]$
436800.hy4	436800hy4	436800.hy	436800hy	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{21} \cdot 3^{24} \cdot 5^{9} \cdot 7 \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$29.54465721$	$1$		$5$	$169869312$	$3.882915$	$13527956825588849127121/25701087819771000$	$1.13639$	$5.62801$	$[0, -1, 0, -794248033, 8601647655937]$	\(y^2=x^3-x^2-794248033x+8601647655937\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(15597, 88000), (51032, 10048275)]$
436800.mr4	436800mr5	436800.mr	436800mr	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{21} \cdot 3^{24} \cdot 5^{9} \cdot 7 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$6.545518481$	$1$		$3$	$169869312$	$3.882915$	$13527956825588849127121/25701087819771000$	$1.13639$	$5.62801$	$[0, 1, 0, -794248033, -8601647655937]$	\(y^2=x^3+x^2-794248033x-8601647655937\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(37949, 3988764)]$
458640.ld4	458640ld4	458640.ld	458640ld	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{15} \cdot 3^{30} \cdot 5^{3} \cdot 7^{7} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$8.701723729$	$1$		$3$	$339738624$	$4.253883$	$13527956825588849127121/25701087819771000$	$1.13639$	$5.94844$	$[0, 0, 0, -3502633827, 79657407097954]$	\(y^2=x^3-3502633827x+79657407097954\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(130158, 42764260)]$