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.f1	2850f1	2850.f	2850f	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{10} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$9600$	$1.267761$	$-23891790625/1181952$	$1.01527$	$5.03744$	$[1, 1, 0, -12825, 577125]$	\(y^2+xy=x^3+x^2-12825x+577125\)	228.2.0.?	$[ ]$
2850.w1	2850bb1	2850.w	2850bb	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{4} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$0.026588528$	$1$		$18$	$1920$	$0.463043$	$-23891790625/1181952$	$1.01527$	$3.82354$	$[1, 0, 0, -513, 4617]$	\(y^2+xy=x^3-513x+4617\)	228.2.0.?	$[(12, 9)]$
8550.c1	8550r1	8550.c	8550r	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{4} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$15360$	$1.012348$	$-23891790625/1181952$	$1.01527$	$4.08764$	$[1, -1, 0, -4617, -124659]$	\(y^2+xy=x^3-x^2-4617x-124659\)	228.2.0.?	$[ ]$
8550.bk1	8550bg1	8550.bk	8550bg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{10} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$76800$	$1.817068$	$-23891790625/1181952$	$1.01527$	$5.15424$	$[1, -1, 1, -115430, -15697803]$	\(y^2+xy+y=x^3-x^2-115430x-15697803\)	228.2.0.?	$[ ]$
22800.bs1	22800cm1	22800.bs	22800cm	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{20} \cdot 3^{5} \cdot 5^{4} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$3.395509422$	$1$		$2$	$46080$	$1.156191$	$-23891790625/1181952$	$1.01527$	$3.86011$	$[0, -1, 0, -8208, -295488]$	\(y^2=x^3-x^2-8208x-295488\)	228.2.0.?	$[(122, 710)]$
22800.cc1	22800dc1	22800.cc	22800dc	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{20} \cdot 3^{5} \cdot 5^{10} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$5.107916444$	$1$		$2$	$230400$	$1.960909$	$-23891790625/1181952$	$1.01527$	$4.82245$	$[0, 1, 0, -205208, -37346412]$	\(y^2=x^3+x^2-205208x-37346412\)	228.2.0.?	$[(532, 2082)]$
54150.a1	54150n1	54150.a	54150n	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{4} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$0.738568458$	$1$		$6$	$691200$	$1.935263$	$-23891790625/1181952$	$1.01527$	$4.41150$	$[1, 1, 0, -185200, -32038400]$	\(y^2+xy=x^3+x^2-185200x-32038400\)	228.2.0.?	$[(720, 14080)]$
54150.cu1	54150cs1	54150.cu	54150cs	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{10} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$3456000$	$2.739983$	$-23891790625/1181952$	$1.01527$	$5.29747$	$[1, 0, 0, -4630013, -3995539983]$	\(y^2+xy=x^3-4630013x-3995539983\)	228.2.0.?	$[ ]$
68400.j1	68400eu1	68400.j	68400eu	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{20} \cdot 3^{11} \cdot 5^{10} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$5.127064587$	$1$		$2$	$1843200$	$2.510216$	$-23891790625/1181952$	$1.01527$	$4.93865$	$[0, 0, 0, -1846875, 1006506250]$	\(y^2=x^3-1846875x+1006506250\)	228.2.0.?	$[(431, 17046)]$
68400.fy1	68400gb1	68400.fy	68400gb	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{20} \cdot 3^{11} \cdot 5^{4} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$368640$	$1.705496$	$-23891790625/1181952$	$1.01527$	$4.07127$	$[0, 0, 0, -73875, 8052050]$	\(y^2=x^3-73875x+8052050\)	228.2.0.?	$[ ]$
91200.i1	91200gl1	91200.i	91200gl	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{26} \cdot 3^{5} \cdot 5^{10} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$27.71453100$	$1$		$0$	$1843200$	$2.307484$	$-23891790625/1181952$	$1.01527$	$4.60124$	$[0, -1, 0, -820833, -297950463]$	\(y^2=x^3-x^2-820833x-297950463\)	228.2.0.?	$[(1896878760107/22943, 2519620597987506268/22943)]$
91200.n1	91200by1	91200.n	91200by	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{26} \cdot 3^{5} \cdot 5^{4} \cdot 19 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$3.775650534$	$1$		$10$	$368640$	$1.502764$	$-23891790625/1181952$	$1.01527$	$3.75571$	$[0, -1, 0, -32833, 2396737]$	\(y^2=x^3-x^2-32833x+2396737\)	228.2.0.?	$[(81, 512), (593, 13824)]$
91200.iy1	91200jj1	91200.iy	91200jj	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{26} \cdot 3^{5} \cdot 5^{4} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$5.369875526$	$1$		$2$	$368640$	$1.502764$	$-23891790625/1181952$	$1.01527$	$3.75571$	$[0, 1, 0, -32833, -2396737]$	\(y^2=x^3+x^2-32833x-2396737\)	228.2.0.?	$[(929, 27744)]$
91200.jd1	91200di1	91200.jd	91200di	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{26} \cdot 3^{5} \cdot 5^{10} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$1843200$	$2.307484$	$-23891790625/1181952$	$1.01527$	$4.60124$	$[0, 1, 0, -820833, 297950463]$	\(y^2=x^3+x^2-820833x+297950463\)	228.2.0.?	$[ ]$
139650.dj1	139650go1	139650.dj	139650go	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{10} \cdot 7^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$3.396123970$	$1$		$2$	$2764800$	$2.240719$	$-23891790625/1181952$	$1.01527$	$4.36812$	$[1, 0, 1, -628451, -199839202]$	\(y^2+xy+y=x^3-628451x-199839202\)	228.2.0.?	$[(1551, 49792)]$
139650.fo1	139650de1	139650.fo	139650de	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{4} \cdot 7^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$552960$	$1.435999$	$-23891790625/1181952$	$1.01527$	$3.55300$	$[1, 1, 1, -25138, -1608769]$	\(y^2+xy+y=x^3+x^2-25138x-1608769\)	228.2.0.?	$[ ]$
162450.ci1	162450ej1	162450.ci	162450ej	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{10} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$3.935308365$	$1$		$2$	$27648000$	$3.289288$	$-23891790625/1181952$	$1.01527$	$5.36180$	$[1, -1, 0, -41670117, 107879579541]$	\(y^2+xy=x^3-x^2-41670117x+107879579541\)	228.2.0.?	$[(23850, 3548979)]$
162450.cs1	162450a1	162450.cs	162450a	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{4} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$0.390286786$	$1$		$6$	$5529600$	$2.484570$	$-23891790625/1181952$	$1.01527$	$4.55695$	$[1, -1, 1, -1666805, 863369997]$	\(y^2+xy+y=x^3-x^2-1666805x+863369997\)	228.2.0.?	$[(5, 29238)]$
273600.bc1	273600bc1	273600.bc	273600bc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{26} \cdot 3^{11} \cdot 5^{4} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1.446653316$	$1$		$4$	$2949120$	$2.052071$	$-23891790625/1181952$	$1.01527$	$3.95265$	$[0, 0, 0, -295500, -64416400]$	\(y^2=x^3-295500x-64416400\)	228.2.0.?	$[(1294, 41472)]$
273600.bs1	273600bs1	273600.bs	273600bs	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{26} \cdot 3^{11} \cdot 5^{10} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$14745600$	$2.856789$	$-23891790625/1181952$	$1.01527$	$4.72398$	$[0, 0, 0, -7387500, 8052050000]$	\(y^2=x^3-7387500x+8052050000\)	228.2.0.?	$[ ]$
273600.ot1	273600ot1	273600.ot	273600ot	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{26} \cdot 3^{11} \cdot 5^{10} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$4$	$2$	$0$	$14745600$	$2.856789$	$-23891790625/1181952$	$1.01527$	$4.72398$	$[0, 0, 0, -7387500, -8052050000]$	\(y^2=x^3-7387500x-8052050000\)	228.2.0.?	$[ ]$
273600.pj1	273600pj1	273600.pj	273600pj	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{26} \cdot 3^{11} \cdot 5^{4} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$2.889786872$	$1$		$2$	$2949120$	$2.052071$	$-23891790625/1181952$	$1.01527$	$3.95265$	$[0, 0, 0, -295500, 64416400]$	\(y^2=x^3-295500x+64416400\)	228.2.0.?	$[(320, 1620)]$
344850.dw1	344850dw1	344850.dw	344850dw	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{4} \cdot 11^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$2745600$	$1.661991$	$-23891790625/1181952$	$1.01527$	$3.51380$	$[1, 0, 1, -62076, -6207302]$	\(y^2+xy+y=x^3-62076x-6207302\)	228.2.0.?	$[ ]$
344850.ee1	344850ee1	344850.ee	344850ee	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{10} \cdot 11^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$12.79406578$	$1$		$0$	$13728000$	$2.466709$	$-23891790625/1181952$	$1.01527$	$4.27113$	$[1, 1, 1, -1551888, -775912719]$	\(y^2+xy+y=x^3+x^2-1551888x-775912719\)	228.2.0.?	$[(572619/11, 413289507/11)]$
418950.fi1	418950fi1	418950.fi	418950fi	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{4} \cdot 7^{6} \cdot 19 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$0.731065541$	$1$		$18$	$4423680$	$1.985304$	$-23891790625/1181952$	$1.01527$	$3.76067$	$[1, -1, 0, -226242, 43210516]$	\(y^2+xy=x^3-x^2-226242x+43210516\)	228.2.0.?	$[(569, 9638), (164, 3158)]$
418950.nl1	418950nl1	418950.nl	418950nl	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{10} \cdot 7^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$22118400$	$2.790024$	$-23891790625/1181952$	$1.01527$	$4.50661$	$[1, -1, 1, -5656055, 5395658447]$	\(y^2+xy+y=x^3-x^2-5656055x+5395658447\)	228.2.0.?	$[ ]$
433200.o1	433200o1	433200.o	433200o	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{20} \cdot 3^{5} \cdot 5^{10} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$18.70845537$	$1$		$0$	$82944000$	$3.433128$	$-23891790625/1181952$	$1.01527$	$5.08959$	$[0, -1, 0, -74080208, 255714558912]$	\(y^2=x^3-x^2-74080208x+255714558912\)	228.2.0.?	$[(4989399178/1009, 104480916212774/1009)]$
433200.kt1	433200kt1	433200.kt	433200kt	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{20} \cdot 3^{5} \cdot 5^{4} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1.242513273$	$1$		$4$	$16588800$	$2.628410$	$-23891790625/1181952$	$1.01527$	$4.34557$	$[0, 1, 0, -2963208, 2044531188]$	\(y^2=x^3+x^2-2963208x+2044531188\)	228.2.0.?	$[(348, 32490)]$
481650.el1	481650el1	481650.el	481650el	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{4} \cdot 13^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1.014705438$	$1$		$4$	$4515840$	$1.745518$	$-23891790625/1181952$	$1.01527$	$3.50068$	$[1, 0, 1, -86701, 10230248]$	\(y^2+xy+y=x^3-86701x+10230248\)	228.2.0.?	$[(-77, 4094)]$
481650.er1	481650er1	481650.er	481650er	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{10} \cdot 13^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$1$	$1$		$0$	$22579200$	$2.550236$	$-23891790625/1181952$	$1.01527$	$4.23867$	$[1, 1, 1, -2167513, 1278781031]$	\(y^2+xy+y=x^3+x^2-2167513x+1278781031\)	228.2.0.?	$[ ]$

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