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
6600.f1	6600s1	6600.f	6600s	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{10} \cdot 3^{5} \cdot 5^{2} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$2880$	$0.582045$	$137180/323433$	$1.03500$	$3.44425$	$[0, -1, 0, 32, -4388]$	\(y^2=x^3-x^2+32x-4388\)	132.2.0.?	$[ ]$
6600.ba1	6600r1	6600.ba	6600r	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{10} \cdot 3^{5} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.612972966$	$1$		$6$	$14400$	$1.386765$	$137180/323433$	$1.03500$	$4.54224$	$[0, 1, 0, 792, -546912]$	\(y^2=x^3+x^2+792x-546912\)	132.2.0.?	$[(108, 900)]$
13200.m1	13200n1	13200.m	13200n	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{10} \cdot 3^{5} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.468986885$	$1$		$6$	$28800$	$1.386765$	$137180/323433$	$1.03500$	$4.21040$	$[0, -1, 0, 792, 546912]$	\(y^2=x^3-x^2+792x+546912\)	132.2.0.?	$[(-58, 550)]$
13200.cj1	13200v1	13200.cj	13200v	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{10} \cdot 3^{5} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.194708845$	$1$		$8$	$5760$	$0.582045$	$137180/323433$	$1.03500$	$3.19263$	$[0, 1, 0, 32, 4388]$	\(y^2=x^3+x^2+32x+4388\)	132.2.0.?	$[(32, 198)]$
19800.r1	19800g1	19800.r	19800g	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{10} \cdot 3^{11} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.705513377$	$1$		$4$	$23040$	$1.131351$	$137180/323433$	$1.03500$	$3.72805$	$[0, 0, 0, 285, 118190]$	\(y^2=x^3+285x+118190\)	132.2.0.?	$[(31, 396)]$
19800.bb1	19800bt1	19800.bb	19800bt	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{10} \cdot 3^{11} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.870374023$	$1$		$4$	$115200$	$1.936069$	$137180/323433$	$1.03500$	$4.70412$	$[0, 0, 0, 7125, 14773750]$	\(y^2=x^3+7125x+14773750\)	132.2.0.?	$[(-109, 3564)]$
39600.ca1	39600bk1	39600.ca	39600bk	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{10} \cdot 3^{11} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$8.311674431$	$1$		$0$	$230400$	$1.936069$	$137180/323433$	$1.03500$	$4.39612$	$[0, 0, 0, 7125, -14773750]$	\(y^2=x^3+7125x-14773750\)	132.2.0.?	$[(20371/5, 2883294/5)]$
39600.di1	39600g1	39600.di	39600g	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{10} \cdot 3^{11} \cdot 5^{2} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$46080$	$1.131351$	$137180/323433$	$1.03500$	$3.48396$	$[0, 0, 0, 285, -118190]$	\(y^2=x^3+285x-118190\)	132.2.0.?	$[ ]$
52800.cq1	52800ec1	52800.cq	52800ec	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{16} \cdot 3^{5} \cdot 5^{2} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$46080$	$0.928618$	$137180/323433$	$1.03500$	$3.16807$	$[0, -1, 0, 127, 34977]$	\(y^2=x^3-x^2+127x+34977\)	132.2.0.?	$[ ]$
52800.ct1	52800br1	52800.ct	52800br	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{16} \cdot 3^{5} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$2.307550352$	$1$		$2$	$230400$	$1.733337$	$137180/323433$	$1.03500$	$4.05610$	$[0, -1, 0, 3167, -4378463]$	\(y^2=x^3-x^2+3167x-4378463\)	132.2.0.?	$[(161, 528)]$
52800.fd1	52800hl1	52800.fd	52800hl	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{16} \cdot 3^{5} \cdot 5^{8} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$230400$	$1.733337$	$137180/323433$	$1.03500$	$4.05610$	$[0, 1, 0, 3167, 4378463]$	\(y^2=x^3+x^2+3167x+4378463\)	132.2.0.?	$[ ]$
52800.fe1	52800cv1	52800.fe	52800cv	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{16} \cdot 3^{5} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.287073528$	$1$		$6$	$46080$	$0.928618$	$137180/323433$	$1.03500$	$3.16807$	$[0, 1, 0, 127, -34977]$	\(y^2=x^3+x^2+127x-34977\)	132.2.0.?	$[(67, 528)]$
72600.bl1	72600f1	72600.bl	72600f	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{5} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$345600$	$1.780993$	$137180/323433$	$1.03500$	$3.99179$	$[0, -1, 0, 3832, 5825052]$	\(y^2=x^3-x^2+3832x+5825052\)	132.2.0.?	$[ ]$
72600.da1	72600el1	72600.da	72600el	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{5} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.439380120$	$1$		$4$	$1728000$	$2.585712$	$137180/323433$	$1.03500$	$4.85455$	$[0, 1, 0, 95792, 728323088]$	\(y^2=x^3+x^2+95792x+728323088\)	132.2.0.?	$[(5408, 399300)]$
145200.dn1	145200jf1	145200.dn	145200jf	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{5} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$6.765002287$	$1$		$0$	$3456000$	$2.585712$	$137180/323433$	$1.03500$	$4.57144$	$[0, -1, 0, 95792, -728323088]$	\(y^2=x^3-x^2+95792x-728323088\)	132.2.0.?	$[(133758/7, 48345550/7)]$
145200.hu1	145200hz1	145200.hu	145200hz	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{5} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$2.445930179$	$1$		$2$	$691200$	$1.780993$	$137180/323433$	$1.03500$	$3.75900$	$[0, 1, 0, 3832, -5825052]$	\(y^2=x^3+x^2+3832x-5825052\)	132.2.0.?	$[(832, 23958)]$
158400.fh1	158400lf1	158400.fh	158400lf	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{16} \cdot 3^{11} \cdot 5^{2} \cdot 11^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1.900401866$	$1$		$12$	$368640$	$1.477924$	$137180/323433$	$1.03500$	$3.42792$	$[0, 0, 0, 1140, 945520]$	\(y^2=x^3+1140x+945520\)	132.2.0.?	$[(86, 1296), (-76, 648)]$
158400.fz1	158400s1	158400.fz	158400s	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{16} \cdot 3^{11} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.839884256$	$1$		$2$	$1843200$	$2.282642$	$137180/323433$	$1.03500$	$4.23447$	$[0, 0, 0, 28500, -118190000]$	\(y^2=x^3+28500x-118190000\)	132.2.0.?	$[(2000, 89100)]$
158400.jh1	158400je1	158400.jh	158400je	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{16} \cdot 3^{11} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1.680216051$	$1$		$2$	$1843200$	$2.282642$	$137180/323433$	$1.03500$	$4.23447$	$[0, 0, 0, 28500, 118190000]$	\(y^2=x^3+28500x+118190000\)	132.2.0.?	$[(-50, 10800)]$
158400.ju1	158400en1	158400.ju	158400en	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{16} \cdot 3^{11} \cdot 5^{2} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$368640$	$1.477924$	$137180/323433$	$1.03500$	$3.42792$	$[0, 0, 0, 1140, -945520]$	\(y^2=x^3+1140x-945520\)	132.2.0.?	$[ ]$
217800.ct1	217800dx1	217800.ct	217800dx	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{11} \cdot 5^{8} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$13824000$	$3.135017$	$137180/323433$	$1.03500$	$4.95693$	$[0, 0, 0, 862125, -19663861250]$	\(y^2=x^3+862125x-19663861250\)	132.2.0.?	$[ ]$
217800.ep1	217800cd1	217800.ep	217800cd	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{11} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$2764800$	$2.330299$	$137180/323433$	$1.03500$	$4.17128$	$[0, 0, 0, 34485, -157310890]$	\(y^2=x^3+34485x-157310890\)	132.2.0.?	$[ ]$
323400.x1	323400x1	323400.x	323400x	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{10} \cdot 3^{5} \cdot 5^{8} \cdot 7^{6} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$15.37596663$	$1$		$0$	$5443200$	$2.359718$	$137180/323433$	$1.03500$	$4.06913$	$[0, -1, 0, 38792, 187668412]$	\(y^2=x^3-x^2+38792x+187668412\)	132.2.0.?	$[(9170154/97, 30954123724/97)]$
323400.gm1	323400gm1	323400.gm	323400gm	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{10} \cdot 3^{5} \cdot 5^{2} \cdot 7^{6} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$1088640$	$1.555000$	$137180/323433$	$1.03500$	$3.30797$	$[0, 1, 0, 1552, 1501968]$	\(y^2=x^3+x^2+1552x+1501968\)	132.2.0.?	$[ ]$
435600.hz1	435600hz1	435600.hz	435600hz	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{11} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1.519799534$	$1$		$0$	$5529600$	$2.330299$	$137180/323433$	$1.03500$	$3.94861$	$[0, 0, 0, 34485, 157310890]$	\(y^2=x^3+34485x+157310890\)	132.2.0.?	$[(1001/2, 107811/2)]$
435600.mo1	435600mo1	435600.mo	435600mo	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{11} \cdot 5^{8} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$27648000$	$3.135017$	$137180/323433$	$1.03500$	$4.69231$	$[0, 0, 0, 862125, 19663861250]$	\(y^2=x^3+862125x+19663861250\)	132.2.0.?	$[ ]$

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