Elliptic curve search results

Results (22 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
9240.u1	9240bb3	9240.u	9240bb	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{4} \cdot 7 \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$3080$	$48$	$0$	$2.915899199$	$1$		$3$	$12288$	$1.031019$	$2727138195938/576489375$	$0.90712$	$3.97084$	$[0, 1, 0, -3696, 67680]$	\(y^2=x^3+x^2-3696x+67680\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.1, 56.24.0-56.s.1.2, $\ldots$	$[(147, 1650)]$
18480.x1	18480i3	18480.x	18480i	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{4} \cdot 7 \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$3080$	$48$	$0$	$0.395769833$	$1$		$11$	$24576$	$1.031019$	$2727138195938/576489375$	$0.90712$	$3.69068$	$[0, -1, 0, -3696, -67680]$	\(y^2=x^3-x^2-3696x-67680\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 28.12.0-4.c.1.2, 56.24.0-56.s.1.3, $\ldots$	$[(-36, 132)]$
27720.bh1	27720s4	27720.bh	27720s	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{4} \cdot 7 \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1$	$1$		$1$	$98304$	$1.580326$	$2727138195938/576489375$	$0.90712$	$4.18875$	$[0, 0, 0, -33267, -1860626]$	\(y^2=x^3-33267x-1860626\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0.s.1, 84.12.0.?, $\ldots$	$[ ]$
46200.x1	46200j4	46200.x	46200j	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{10} \cdot 7 \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$294912$	$1.835739$	$2727138195938/576489375$	$0.90712$	$4.27490$	$[0, -1, 0, -92408, 8644812]$	\(y^2=x^3-x^2-92408x+8644812\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 56.12.0.s.1, 88.12.0.?, $\ldots$	$[ ]$
55440.ej1	55440bl4	55440.ej	55440bl	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{4} \cdot 7 \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1$	$1$		$1$	$196608$	$1.580326$	$2727138195938/576489375$	$0.90712$	$3.92295$	$[0, 0, 0, -33267, 1860626]$	\(y^2=x^3-33267x+1860626\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0.s.1, 84.12.0.?, $\ldots$	$[ ]$
64680.s1	64680bu4	64680.s	64680bu	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{4} \cdot 7^{7} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$589824$	$2.003975$	$2727138195938/576489375$	$0.90712$	$4.32730$	$[0, -1, 0, -181120, -23576468]$	\(y^2=x^3-x^2-181120x-23576468\)	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.s.1.1, 440.24.0.?, 3080.48.0.?	$[ ]$
73920.cs1	73920bh4	73920.cs	73920bh	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{17} \cdot 3^{2} \cdot 5^{4} \cdot 7 \cdot 11^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$3080$	$48$	$0$	$1.039654464$	$1$		$13$	$196608$	$1.377594$	$2727138195938/576489375$	$0.90712$	$3.60527$	$[0, -1, 0, -14785, 556225]$	\(y^2=x^3-x^2-14785x+556225\)	2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.s.1.4, 440.24.0.?, 3080.48.0.?	$[(40, 165)]$
73920.hm1	73920ic4	73920.hm	73920ic	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{17} \cdot 3^{2} \cdot 5^{4} \cdot 7 \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$3080$	$48$	$0$	$2.483669679$	$1$		$5$	$196608$	$1.377594$	$2727138195938/576489375$	$0.90712$	$3.60527$	$[0, 1, 0, -14785, -556225]$	\(y^2=x^3+x^2-14785x-556225\)	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.s.1.1, 440.24.0.?, 3080.48.0.?	$[(-70, 375)]$
92400.ft1	92400cb4	92400.ft	92400cb	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{10} \cdot 7 \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1.859013434$	$1$		$7$	$589824$	$1.835739$	$2727138195938/576489375$	$0.90712$	$4.01574$	$[0, 1, 0, -92408, -8644812]$	\(y^2=x^3+x^2-92408x-8644812\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 56.12.0.s.1, 88.12.0.?, $\ldots$	$[(-116, 726)]$
101640.ca1	101640bd4	101640.ca	101640bd	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{11} \cdot 3^{2} \cdot 5^{4} \cdot 7 \cdot 11^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1$	$4$	$2$	$1$	$1474560$	$2.229969$	$2727138195938/576489375$	$0.90712$	$4.39287$	$[0, 1, 0, -447256, -91871056]$	\(y^2=x^3+x^2-447256x-91871056\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.s.1, 88.12.0.?, $\ldots$	$[ ]$
129360.hk1	129360de4	129360.hk	129360de	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{4} \cdot 7^{7} \cdot 11^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$3080$	$48$	$0$	$1.035648935$	$1$		$13$	$1179648$	$2.003975$	$2727138195938/576489375$	$0.90712$	$4.07246$	$[0, 1, 0, -181120, 23576468]$	\(y^2=x^3+x^2-181120x+23576468\)	2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.s.1.4, 440.24.0.?, 3080.48.0.?	$[(86, 2940)]$
138600.dz1	138600q4	138600.dz	138600q	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{10} \cdot 7 \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$5.513017865$	$1$		$3$	$2359296$	$2.385044$	$2727138195938/576489375$	$0.90712$	$4.43497$	$[0, 0, 0, -831675, -232578250]$	\(y^2=x^3-831675x-232578250\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0.s.1, 120.12.0.?, 264.12.0.?, $\ldots$	$[(-386, 5562)]$
194040.bp1	194040dk3	194040.bp	194040dk	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{4} \cdot 7^{7} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1$	$1$		$1$	$4718592$	$2.553280$	$2727138195938/576489375$	$0.90712$	$4.47822$	$[0, 0, 0, -1630083, 638194718]$	\(y^2=x^3-1630083x+638194718\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.s.1, 168.24.0.?, $\ldots$	$[ ]$
203280.m1	203280hf3	203280.m	203280hf	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{11} \cdot 3^{2} \cdot 5^{4} \cdot 7 \cdot 11^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$2949120$	$2.229969$	$2727138195938/576489375$	$0.90712$	$4.14375$	$[0, -1, 0, -447256, 91871056]$	\(y^2=x^3-x^2-447256x+91871056\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.s.1, 88.12.0.?, $\ldots$	$[ ]$
221760.u1	221760mb4	221760.u	221760mb	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{17} \cdot 3^{8} \cdot 5^{4} \cdot 7 \cdot 11^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$12.31064324$	$1$		$9$	$1572864$	$1.926899$	$2727138195938/576489375$	$0.90712$	$3.81900$	$[0, 0, 0, -133068, -14885008]$	\(y^2=x^3-133068x-14885008\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.s.1, 168.24.0.?, $\ldots$	$[(-163, 1573), (-248, 1692)]$
221760.fr1	221760dg3	221760.fr	221760dg	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{17} \cdot 3^{8} \cdot 5^{4} \cdot 7 \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1.497834312$	$1$		$7$	$1572864$	$1.926899$	$2727138195938/576489375$	$0.90712$	$3.81900$	$[0, 0, 0, -133068, 14885008]$	\(y^2=x^3-133068x+14885008\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.s.1, 168.24.0.?, $\ldots$	$[(482, 7920)]$
277200.o1	277200o3	277200.o	277200o	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{10} \cdot 7 \cdot 11^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$3.998777954$	$1$		$15$	$4718592$	$2.385044$	$2727138195938/576489375$	$0.90712$	$4.18968$	$[0, 0, 0, -831675, 232578250]$	\(y^2=x^3-831675x+232578250\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0.s.1, 120.12.0.?, 264.12.0.?, $\ldots$	$[(105, 12100), (305, 2700)]$
304920.ef1	304920ef3	304920.ef	304920ef	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{11} \cdot 3^{8} \cdot 5^{4} \cdot 7 \cdot 11^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1$	$1$		$1$	$11796480$	$2.779274$	$2727138195938/576489375$	$0.90712$	$4.53269$	$[0, 0, 0, -4025307, 2476493206]$	\(y^2=x^3-4025307x+2476493206\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0.s.1, 120.12.0.?, 264.12.0.?, $\ldots$	$[ ]$
323400.gr1	323400gr4	323400.gr	323400gr	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{10} \cdot 7^{7} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$4.959540104$	$1$		$3$	$14155776$	$2.808693$	$2727138195938/576489375$	$0.90712$	$4.53950$	$[0, 1, 0, -4528008, -2956114512]$	\(y^2=x^3+x^2-4528008x-2956114512\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0.s.1, 88.12.0.?, $\ldots$	$[(-873, 18228)]$
369600.cq1	369600cq4	369600.cq	369600cq	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{17} \cdot 3^{2} \cdot 5^{10} \cdot 7 \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$4718592$	$2.182312$	$2727138195938/576489375$	$0.90712$	$3.90591$	$[0, -1, 0, -369633, -68788863]$	\(y^2=x^3-x^2-369633x-68788863\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0.s.1, 88.12.0.?, $\ldots$	$[ ]$
369600.ww1	369600ww3	369600.ww	369600ww	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{17} \cdot 3^{2} \cdot 5^{10} \cdot 7 \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$4718592$	$2.182312$	$2727138195938/576489375$	$0.90712$	$3.90591$	$[0, 1, 0, -369633, 68788863]$	\(y^2=x^3+x^2-369633x+68788863\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0.s.1, 88.12.0.?, $\ldots$	$[ ]$
388080.ba1	388080ba4	388080.ba	388080ba	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{4} \cdot 7^{7} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$3.213544211$	$1$		$5$	$9437184$	$2.553280$	$2727138195938/576489375$	$0.90712$	$4.23702$	$[0, 0, 0, -1630083, -638194718]$	\(y^2=x^3-1630083x-638194718\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.s.1, 168.24.0.?, $\ldots$	$[(-553, 9702)]$

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