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
2730.m1	2730p5	2730.m	2730p	$6$	$18$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 9.24.0.3	2B, 3B.1.2	$32760$	$864$	$21$	$1$	$9$	$3$	$1$	$46656$	$2.033260$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.64563$	$[1, 0, 1, -852274, -302906428]$	\(y^2+xy+y=x^3-852274x-302906428\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 9.24.0-9.a.1.1, 18.72.0-18.a.1.2, $\ldots$	$[ ]$
8190.ca1	8190bz5	8190.ca	8190bz	$6$	$18$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3^{7} \cdot 5^{9} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.24.0.1	2B, 3B.1.1	$32760$	$864$	$21$	$1$	$1$		$5$	$373248$	$2.582569$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.56691$	$[1, -1, 1, -7670462, 8178473549]$	\(y^2+xy+y=x^3-x^2-7670462x+8178473549\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 9.24.0-9.a.1.2, 18.72.0-18.a.1.1, $\ldots$	$[ ]$
13650.bq1	13650bu5	13650.bq	13650bu	$6$	$18$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3 \cdot 5^{15} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$1$	$1$		$1$	$1119744$	$2.837982$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.53650$	$[1, 1, 1, -21306838, -37863303469]$	\(y^2+xy+y=x^3+x^2-21306838x-37863303469\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.1, $\ldots$	$[ ]$
19110.d1	19110m5	19110.d	19110m	$6$	$18$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{18} \cdot 3 \cdot 5^{9} \cdot 7^{7} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$0.446118423$	$1$		$7$	$2239488$	$3.006218$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.51818$	$[1, 1, 0, -41761402, 103855143316]$	\(y^2+xy=x^3+x^2-41761402x+103855143316\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[(3807, 6059)]$
21840.l1	21840be5	21840.l	21840be	$6$	$18$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{30} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$10.38554403$	$1$		$1$	$1119744$	$2.726410$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.09502$	$[0, -1, 0, -13636376, 19386011376]$	\(y^2=x^3-x^2-13636376x+19386011376\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 12.24.0-6.a.1.9, $\ldots$	$[(1319986/25, 23172734/25)]$
35490.dr1	35490dp5	35490.dr	35490dp	$6$	$18$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{18} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$1$	$1$		$1$	$7838208$	$3.315735$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.48757$	$[1, 0, 0, -144034225, -665341387543]$	\(y^2+xy=x^3-144034225x-665341387543\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[ ]$
40950.bm1	40950z5	40950.bm	40950z	$6$	$18$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3^{7} \cdot 5^{15} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$1$	$1$		$1$	$8957952$	$3.387287$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.48100$	$[1, -1, 0, -191761542, 1022117432116]$	\(y^2+xy=x^3-x^2-191761542x+1022117432116\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.2, $\ldots$	$[ ]$
57330.ef1	57330ed5	57330.ef	57330ed	$6$	$18$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{18} \cdot 3^{7} \cdot 5^{9} \cdot 7^{7} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$1$	$1$		$1$	$17915904$	$3.555523$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.46623$	$[1, -1, 1, -375852623, -2804464722153]$	\(y^2+xy+y=x^3-x^2-375852623x-2804464722153\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[ ]$
65520.ca1	65520eb5	65520.ca	65520eb	$6$	$18$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{30} \cdot 3^{7} \cdot 5^{9} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$1.601411756$	$1$		$7$	$8957952$	$3.275715$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.08560$	$[0, 0, 0, -122727387, -523299579766]$	\(y^2=x^3-122727387x-523299579766\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 12.24.0-6.a.1.3, $\ldots$	$[(-6377, 2250)]$
87360.ds1	87360bj5	87360.ds	87360bj	$6$	$18$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{36} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$7.376292026$	$1$		$1$	$8957952$	$3.072983$	$68463752473882049153689/1817088000000000$	$1.01646$	$5.71791$	$[0, -1, 0, -54545505, -155033545503]$	\(y^2=x^3-x^2-54545505x-155033545503\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[(-1880441/21, 17459000/21)]$
87360.fm1	87360gu5	87360.fm	87360gu	$6$	$18$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{36} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$1$	$1$		$1$	$8957952$	$3.072983$	$68463752473882049153689/1817088000000000$	$1.01646$	$5.71791$	$[0, 1, 0, -54545505, 155033545503]$	\(y^2=x^3+x^2-54545505x+155033545503\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[ ]$
95550.iw1	95550kg5	95550.iw	95550kg	$6$	$18$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{18} \cdot 3 \cdot 5^{15} \cdot 7^{7} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$2.361754821$	$1$		$3$	$53747712$	$3.810936$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.44546$	$[1, 0, 0, -1044035063, 12983980984617]$	\(y^2+xy=x^3-1044035063x+12983980984617\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 9.12.0.a.1, 18.72.0-18.a.1.4, $\ldots$	$[(-7338, 4503669)]$
106470.a1	106470bn5	106470.a	106470bn	$6$	$18$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{18} \cdot 3^{7} \cdot 5^{9} \cdot 7 \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$1$	$1$		$1$	$62705664$	$3.865044$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.44129$	$[1, -1, 0, -1296308025, 17964217463661]$	\(y^2+xy=x^3-x^2-1296308025x+17964217463661\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[ ]$
109200.hh1	109200gd5	109200.hh	109200gd	$6$	$18$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{30} \cdot 3 \cdot 5^{15} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$1$	$9$	$3$	$1$	$26873856$	$3.531128$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.08184$	$[0, 1, 0, -340909408, 2422569603188]$	\(y^2=x^3+x^2-340909408x+2422569603188\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[ ]$
152880.il1	152880bm5	152880.il	152880bm	$6$	$18$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{30} \cdot 3 \cdot 5^{9} \cdot 7^{7} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$10.15396287$	$1$		$1$	$53747712$	$3.699364$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.07953$	$[0, 1, 0, -668182440, -6648065537100]$	\(y^2=x^3+x^2-668182440x-6648065537100\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[(-1213532/9, 1512134/9)]$
177450.cp1	177450jl5	177450.cp	177450jl	$6$	$18$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{18} \cdot 3 \cdot 5^{15} \cdot 7 \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$1$	$9$	$3$	$1$	$188116992$	$4.120453$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.42264$	$[1, 1, 0, -3600855625, -83167673442875]$	\(y^2+xy=x^3+x^2-3600855625x-83167673442875\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[ ]$
248430.gu1	248430gu5	248430.gu	248430gu	$6$	$18$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{18} \cdot 3 \cdot 5^{9} \cdot 7^{7} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$6.101265898$	$1$		$3$	$376233984$	$4.288689$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.41120$	$[1, 1, 1, -7057677026, 228205038250223]$	\(y^2+xy+y=x^3+x^2-7057677026x+228205038250223\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[(-14113, 18034793)]$
262080.dj1	262080dj5	262080.dj	262080dj	$6$	$18$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{36} \cdot 3^{7} \cdot 5^{9} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$57.93918952$	$1$		$1$	$71663616$	$3.622288$	$68463752473882049153689/1817088000000000$	$1.01646$	$5.74275$	$[0, 0, 0, -490909548, -4186396638128]$	\(y^2=x^3-490909548x-4186396638128\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[(-683825891134695357530224368/231388546273, 111303181699201583600343338016136691860/231388546273)]$
262080.dp1	262080dp5	262080.dp	262080dp	$6$	$18$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{36} \cdot 3^{7} \cdot 5^{9} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$5.678611576$	$1$		$3$	$71663616$	$3.622288$	$68463752473882049153689/1817088000000000$	$1.01646$	$5.74275$	$[0, 0, 0, -490909548, 4186396638128]$	\(y^2=x^3-490909548x+4186396638128\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[(13717, 183105)]$
283920.cy1	283920cy5	283920.cy	283920cy	$6$	$18$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{30} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$1$	$1$		$1$	$188116992$	$4.008881$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.07561$	$[0, -1, 0, -2304547600, 42581848802752]$	\(y^2=x^3-x^2-2304547600x+42581848802752\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[ ]$
286650.ig1	286650ig5	286650.ig	286650ig	$6$	$18$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{18} \cdot 3^{7} \cdot 5^{15} \cdot 7^{7} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$1$	$9$	$3$	$1$	$429981696$	$4.360245$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.40651$	$[1, -1, 0, -9396315567, -350567486584659]$	\(y^2+xy=x^3-x^2-9396315567x-350567486584659\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 9.12.0.a.1, 18.72.0-18.a.1.3, $\ldots$	$[ ]$
327600.gw1	327600gw5	327600.gw	327600gw	$6$	$18$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{30} \cdot 3^{7} \cdot 5^{15} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$1$	$9$	$3$	$1$	$214990848$	$4.080437$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.07476$	$[0, 0, 0, -3068184675, -65412447470750]$	\(y^2=x^3-3068184675x-65412447470750\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[ ]$
330330.fh1	330330fh5	330330.fh	330330fh	$6$	$18$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2^{18} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 11^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$360360$	$864$	$21$	$1$	$1$		$1$	$50388480$	$3.232208$	$68463752473882049153689/1817088000000000$	$1.01646$	$5.26981$	$[1, 0, 0, -103125096, 403065330240]$	\(y^2+xy=x^3-103125096x+403065330240\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[ ]$
436800.fu1	436800fu5	436800.fu	436800fu	$6$	$18$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{36} \cdot 3 \cdot 5^{15} \cdot 7 \cdot 13^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$23.92248637$	$1$		$5$	$214990848$	$3.877701$	$68463752473882049153689/1817088000000000$	$1.01646$	$5.75287$	$[0, -1, 0, -1363637633, 19381920463137]$	\(y^2=x^3-x^2-1363637633x+19381920463137\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[(20632, 171875), (8182527/19, 2354625000/19)]$
436800.oz1	436800oz5	436800.oz	436800oz	$6$	$18$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{36} \cdot 3 \cdot 5^{15} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$6.071908571$	$9$	$3$	$1$	$214990848$	$3.877701$	$68463752473882049153689/1817088000000000$	$1.01646$	$5.75287$	$[0, 1, 0, -1363637633, -19381920463137]$	\(y^2=x^3+x^2-1363637633x-19381920463137\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[(392437/3, 54437500/3)]$
458640.d1	458640d5	458640.d	458640d	$6$	$18$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{30} \cdot 3^{7} \cdot 5^{9} \cdot 7^{7} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$1$	$1$		$1$	$429981696$	$4.248672$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.07283$	$[0, 0, 0, -6013641963, 179491755859738]$	\(y^2=x^3-6013641963x+179491755859738\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[ ]$

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