Elliptic curve search results

Results (17 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
5610.l1	5610o1	5610.l	5610o	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{34} \cdot 3^{9} \cdot 5 \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$11220$	$2$	$0$	$1.322635157$	$1$		$4$	$73440$	$2.043663$	$-85944135790429956649/316171526414008320$	$1.00032$	$5.54845$	$[1, 0, 1, -91939, -29111074]$	\(y^2+xy+y=x^3-91939x-29111074\)	11220.2.0.?	$[(3391, 194912)]$
16830.cb1	16830cq1	16830.cb	16830cq	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{34} \cdot 3^{15} \cdot 5 \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$0.346939835$	$1$		$6$	$587520$	$2.592972$	$-85944135790429956649/316171526414008320$	$1.00032$	$5.59943$	$[1, -1, 1, -827447, 785998991]$	\(y^2+xy+y=x^3-x^2-827447x+785998991\)	11220.2.0.?	$[(8259, 742366)]$
28050.cu1	28050cl1	28050.cu	28050cl	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{34} \cdot 3^{9} \cdot 5^{7} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1$	$1$		$0$	$1762560$	$2.848385$	$-85944135790429956649/316171526414008320$	$1.00032$	$5.61940$	$[1, 1, 1, -2298463, -3638884219]$	\(y^2+xy+y=x^3+x^2-2298463x-3638884219\)	11220.2.0.?	$[]$
44880.p1	44880bd1	44880.p	44880bd	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{46} \cdot 3^{9} \cdot 5 \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1$	$9$	$3$	$0$	$1762560$	$2.736813$	$-85944135790429956649/316171526414008320$	$1.00032$	$5.24785$	$[0, -1, 0, -1471016, 1863108720]$	\(y^2=x^3-x^2-1471016x+1863108720\)	11220.2.0.?	$[]$
61710.cm1	61710cp1	61710.cm	61710cp	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{34} \cdot 3^{9} \cdot 5 \cdot 11^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$0.131408646$	$1$		$8$	$8812800$	$3.242611$	$-85944135790429956649/316171526414008320$	$1.00032$	$5.64661$	$[1, 0, 0, -11124561, 38735714601]$	\(y^2+xy=x^3-11124561x+38735714601\)	11220.2.0.?	$[(1770, 155931)]$
84150.cz1	84150bi1	84150.cz	84150bi	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{34} \cdot 3^{15} \cdot 5^{7} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1$	$1$		$0$	$14100480$	$3.397690$	$-85944135790429956649/316171526414008320$	$1.00032$	$5.65628$	$[1, -1, 0, -20686167, 98229187741]$	\(y^2+xy=x^3-x^2-20686167x+98229187741\)	11220.2.0.?	$[]$
95370.t1	95370q1	95370.t	95370q	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{34} \cdot 3^{9} \cdot 5 \cdot 11 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1$	$4$	$2$	$0$	$21150720$	$3.460270$	$-85944135790429956649/316171526414008320$	$1.00032$	$5.66003$	$[1, 1, 0, -26570232, -142996135104]$	\(y^2+xy=x^3+x^2-26570232x-142996135104\)	11220.2.0.?	$[]$
134640.fl1	134640bk1	134640.fl	134640bk	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{46} \cdot 3^{15} \cdot 5 \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1$	$25$	$5$	$0$	$14100480$	$3.286118$	$-85944135790429956649/316171526414008320$	$1.00032$	$5.31782$	$[0, 0, 0, -13239147, -50290696294]$	\(y^2=x^3-13239147x-50290696294\)	11220.2.0.?	$[]$
179520.cm1	179520gt1	179520.cm	179520gt	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{52} \cdot 3^{9} \cdot 5 \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1$	$1$		$0$	$14100480$	$3.083385$	$-85944135790429956649/316171526414008320$	$1.00032$	$4.99027$	$[0, -1, 0, -5884065, -14898985695]$	\(y^2=x^3-x^2-5884065x-14898985695\)	11220.2.0.?	$[]$
179520.hz1	179520u1	179520.hz	179520u	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{52} \cdot 3^{9} \cdot 5 \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$3.469210434$	$1$		$0$	$14100480$	$3.083385$	$-85944135790429956649/316171526414008320$	$1.00032$	$4.99027$	$[0, 1, 0, -5884065, 14898985695]$	\(y^2=x^3+x^2-5884065x+14898985695\)	11220.2.0.?	$[(-136881/11, 188743680/11)]$
185130.cs1	185130dp1	185130.cs	185130dp	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{34} \cdot 3^{15} \cdot 5 \cdot 11^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1$	$9$	$3$	$0$	$70502400$	$3.791920$	$-85944135790429956649/316171526414008320$	$1.00032$	$5.67862$	$[1, -1, 0, -100121049, -1045864294227]$	\(y^2+xy=x^3-x^2-100121049x-1045864294227\)	11220.2.0.?	$[]$
224400.fa1	224400bm1	224400.fa	224400bm	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{46} \cdot 3^{9} \cdot 5^{7} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1$	$1$		$0$	$42301440$	$3.541531$	$-85944135790429956649/316171526414008320$	$1.00032$	$5.34610$	$[0, 1, 0, -36775408, 232815039188]$	\(y^2=x^3+x^2-36775408x+232815039188\)	11220.2.0.?	$[]$
274890.bl1	274890bl1	274890.bl	274890bl	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( - 2^{34} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$27.53826881$	$1$		$0$	$24235200$	$3.016621$	$-85944135790429956649/316171526414008320$	$1.00032$	$4.75653$	$[1, 1, 0, -4504987, 9980593309]$	\(y^2+xy=x^3+x^2-4504987x+9980593309\)	11220.2.0.?	$[(25964265816390/316033, 2961457452906882095069/316033)]$
286110.fd1	286110fd1	286110.fd	286110fd	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{34} \cdot 3^{15} \cdot 5 \cdot 11 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1$	$1$		$0$	$169205760$	$4.009575$	$-85944135790429956649/316171526414008320$	$1.00032$	$5.68976$	$[1, -1, 1, -239132093, 3860656515717]$	\(y^2+xy+y=x^3-x^2-239132093x+3860656515717\)	11220.2.0.?	$[]$
308550.o1	308550o1	308550.o	308550o	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{34} \cdot 3^{9} \cdot 5^{7} \cdot 11^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1$	$1$		$0$	$211507200$	$4.047333$	$-85944135790429956649/316171526414008320$	$1.00032$	$5.69161$	$[1, 1, 0, -278114025, 4841964325125]$	\(y^2+xy=x^3+x^2-278114025x+4841964325125\)	11220.2.0.?	$[]$
476850.il1	476850il1	476850.il	476850il	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{34} \cdot 3^{9} \cdot 5^{7} \cdot 11 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$0.378645642$	$1$		$8$	$507617280$	$4.264992$	$-85944135790429956649/316171526414008320$	$1.00032$	$5.70188$	$[1, 0, 0, -664255813, -17873188376383]$	\(y^2+xy=x^3-664255813x-17873188376383\)	11220.2.0.?	$[(59762, 12454919)]$
493680.h1	493680h1	493680.h	493680h	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{46} \cdot 3^{9} \cdot 5 \cdot 11^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1$	$1$		$0$	$211507200$	$3.935760$	$-85944135790429956649/316171526414008320$	$1.00032$	$5.38543$	$[0, -1, 0, -177992976, -2479085734464]$	\(y^2=x^3-x^2-177992976x-2479085734464\)	11220.2.0.?	$[]$