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
2090.c1	2090d4	2090.c	2090d	$4$	$6$	\( 2 \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{6} \cdot 5^{3} \cdot 11^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$12540$	$96$	$1$	$1$	$1$		$0$	$8064$	$1.384615$	$8912089320684236569/5116268168000$	$0.96739$	$5.70757$	$[1, 0, 1, -43194, -3457108]$	\(y^2+xy+y=x^3-43194x-3457108\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 10.6.0.a.1, 30.48.0-30.a.1.2, $\ldots$	$[ ]$
10450.bf1	10450y4	10450.bf	10450y	$4$	$6$	\( 2 \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{6} \cdot 5^{9} \cdot 11^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$12540$	$96$	$1$	$4.840079762$	$1$		$2$	$193536$	$2.189335$	$8912089320684236569/5116268168000$	$0.96739$	$5.75843$	$[1, 1, 1, -1079838, -432138469]$	\(y^2+xy+y=x^3+x^2-1079838x-432138469\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 10.6.0.a.1, 15.8.0-3.a.1.1, $\ldots$	$[(56289, 13324447)]$
16720.bd1	16720u4	16720.bd	16720u	$4$	$6$	\( 2^{4} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{18} \cdot 5^{3} \cdot 11^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$12540$	$96$	$1$	$1.376667856$	$1$		$5$	$193536$	$2.077763$	$8912089320684236569/5116268168000$	$0.96739$	$5.34243$	$[0, -1, 0, -691096, 221254896]$	\(y^2=x^3-x^2-691096x+221254896\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 12.24.0-6.a.1.9, $\ldots$	$[(588, 4224)]$
18810.bi1	18810bi4	18810.bi	18810bi	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{3} \cdot 11^{6} \cdot 19^{2} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$12540$	$96$	$1$	$1$	$1$		$4$	$193536$	$1.933922$	$8912089320684236569/5116268168000$	$0.96739$	$5.10312$	$[1, -1, 1, -388742, 93341909]$	\(y^2+xy+y=x^3-x^2-388742x+93341909\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 10.6.0.a.1, 30.48.0-30.a.1.4, $\ldots$	$[ ]$
22990.v1	22990u4	22990.v	22990u	$4$	$6$	\( 2 \cdot 5 \cdot 11^{2} \cdot 19 \)	\( 2^{6} \cdot 5^{3} \cdot 11^{12} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$12540$	$96$	$1$	$1.521913738$	$1$		$6$	$967680$	$2.583561$	$8912089320684236569/5116268168000$	$0.96739$	$5.77740$	$[1, 0, 0, -5226416, 4596184000]$	\(y^2+xy=x^3-5226416x+4596184000\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$	$[(1396, 3900)]$
39710.bc1	39710s4	39710.bc	39710s	$4$	$6$	\( 2 \cdot 5 \cdot 11 \cdot 19^{2} \)	\( 2^{6} \cdot 5^{3} \cdot 11^{6} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$12540$	$96$	$1$	$6.049555237$	$1$		$0$	$2903040$	$2.856834$	$8912089320684236569/5116268168000$	$0.96739$	$5.78888$	$[1, 1, 1, -15592861, 23681116339]$	\(y^2+xy+y=x^3+x^2-15592861x+23681116339\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$	$[(68629/3, 15830500/3)]$
66880.o1	66880dg4	66880.o	66880dg	$4$	$6$	\( 2^{6} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{24} \cdot 5^{3} \cdot 11^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$1$	$1$		$1$	$1548288$	$2.424335$	$8912089320684236569/5116268168000$	$0.96739$	$5.05016$	$[0, 1, 0, -2764385, 1767274783]$	\(y^2=x^3+x^2-2764385x+1767274783\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 24.24.0-6.a.1.14, $\ldots$	$[ ]$
66880.dp1	66880bo4	66880.dp	66880bo	$4$	$6$	\( 2^{6} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{24} \cdot 5^{3} \cdot 11^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$5.189215098$	$1$		$1$	$1548288$	$2.424335$	$8912089320684236569/5116268168000$	$0.96739$	$5.05016$	$[0, -1, 0, -2764385, -1767274783]$	\(y^2=x^3-x^2-2764385x-1767274783\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 24.24.0-6.a.1.3, $\ldots$	$[(13021/2, 1232055/2)]$
83600.o1	83600bw4	83600.o	83600bw	$4$	$6$	\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{18} \cdot 5^{9} \cdot 11^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$12540$	$96$	$1$	$1.050917206$	$1$		$7$	$4644864$	$2.882481$	$8912089320684236569/5116268168000$	$0.96739$	$5.43581$	$[0, 1, 0, -17277408, 27622307188]$	\(y^2=x^3+x^2-17277408x+27622307188\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 12.24.0-6.a.1.4, $\ldots$	$[(2234, 13376)]$
94050.t1	94050bk4	94050.t	94050bk	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{9} \cdot 11^{6} \cdot 19^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$12540$	$96$	$1$	$0.891284233$	$1$		$22$	$4644864$	$2.738640$	$8912089320684236569/5116268168000$	$0.96739$	$5.22917$	$[1, -1, 0, -9718542, 11658020116]$	\(y^2+xy=x^3-x^2-9718542x+11658020116\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 10.6.0.a.1, 15.8.0-3.a.1.2, $\ldots$	$[(1709, 5333), (14084, 1626458)]$
102410.z1	102410o4	102410.z	102410o	$4$	$6$	\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 2^{6} \cdot 5^{3} \cdot 7^{6} \cdot 11^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$87780$	$96$	$1$	$2.134899613$	$1$		$2$	$2903040$	$2.357571$	$8912089320684236569/5116268168000$	$0.96739$	$4.79420$	$[1, 1, 0, -2116482, 1183671476]$	\(y^2+xy=x^3+x^2-2116482x+1183671476\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 21.8.0-3.a.1.2, $\ldots$	$[(812, 734)]$
114950.bo1	114950o4	114950.bo	114950o	$4$	$6$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( 2^{6} \cdot 5^{9} \cdot 11^{12} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$12540$	$96$	$1$	$1$	$4$	$2$	$0$	$23224320$	$3.388283$	$8912089320684236569/5116268168000$	$0.96739$	$5.80814$	$[1, 1, 0, -130660400, 574523000000]$	\(y^2+xy=x^3+x^2-130660400x+574523000000\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$	$[ ]$
150480.cp1	150480h4	150480.cp	150480h	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{18} \cdot 3^{6} \cdot 5^{3} \cdot 11^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$12540$	$96$	$1$	$1$	$1$		$1$	$4644864$	$2.627068$	$8912089320684236569/5116268168000$	$0.96739$	$4.91070$	$[0, 0, 0, -6219867, -5967662326]$	\(y^2=x^3-6219867x-5967662326\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 12.24.0-6.a.1.3, $\ldots$	$[ ]$
183920.cm1	183920bq4	183920.cm	183920bq	$4$	$6$	\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 19 \)	\( 2^{18} \cdot 5^{3} \cdot 11^{12} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$12540$	$96$	$1$	$1$	$9$	$3$	$1$	$23224320$	$3.276711$	$8912089320684236569/5116268168000$	$0.96739$	$5.47250$	$[0, -1, 0, -83622656, -294155776000]$	\(y^2=x^3-x^2-83622656x-294155776000\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$	$[ ]$
198550.c1	198550bw4	198550.c	198550bw	$4$	$6$	\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \)	\( 2^{6} \cdot 5^{9} \cdot 11^{6} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$12540$	$96$	$1$	$1$	$1$		$0$	$69672960$	$3.661552$	$8912089320684236569/5116268168000$	$0.96739$	$5.81674$	$[1, 0, 1, -389821526, 2960919185448]$	\(y^2+xy+y=x^3-389821526x+2960919185448\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$	$[ ]$
206910.bp1	206910cs4	206910.bp	206910cs	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 19 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{3} \cdot 11^{12} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$12540$	$96$	$1$	$1$	$1$		$0$	$23224320$	$3.132870$	$8912089320684236569/5116268168000$	$0.96739$	$5.27882$	$[1, -1, 0, -47037744, -124096968000]$	\(y^2+xy=x^3-x^2-47037744x-124096968000\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$	$[ ]$
317680.g1	317680g4	317680.g	317680g	$4$	$6$	\( 2^{4} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( 2^{18} \cdot 5^{3} \cdot 11^{6} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$12540$	$96$	$1$	$1$	$1$		$1$	$69672960$	$3.549980$	$8912089320684236569/5116268168000$	$0.96739$	$5.49526$	$[0, 1, 0, -249485776, -1516090417260]$	\(y^2=x^3+x^2-249485776x-1516090417260\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$	$[ ]$
334400.q1	334400q4	334400.q	334400q	$4$	$6$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{24} \cdot 5^{9} \cdot 11^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$1$	$1$		$1$	$37158912$	$3.229053$	$8912089320684236569/5116268168000$	$0.96739$	$5.17034$	$[0, 1, 0, -69109633, -221047567137]$	\(y^2=x^3+x^2-69109633x-221047567137\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 24.24.0-6.a.1.13, $\ldots$	$[ ]$
334400.gn1	334400gn4	334400.gn	334400gn	$4$	$6$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{24} \cdot 5^{9} \cdot 11^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$15.08826308$	$1$		$1$	$37158912$	$3.229053$	$8912089320684236569/5116268168000$	$0.96739$	$5.17034$	$[0, -1, 0, -69109633, 221047567137]$	\(y^2=x^3-x^2-69109633x+221047567137\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 24.24.0-6.a.1.4, $\ldots$	$[(-103806608/159, 2652905630375/159)]$
353210.bh1	353210bh4	353210.bh	353210bh	$4$	$6$	\( 2 \cdot 5 \cdot 11 \cdot 13^{2} \cdot 19 \)	\( 2^{6} \cdot 5^{3} \cdot 11^{6} \cdot 13^{6} \cdot 19^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$163020$	$96$	$1$	$1.726814378$	$1$		$20$	$18579456$	$2.667091$	$8912089320684236569/5116268168000$	$0.96739$	$4.62031$	$[1, 0, 0, -7299705, -7587966023]$	\(y^2+xy=x^3-7299705x-7587966023\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$	$[(-1536, 1813), (-1546, -917)]$
357390.bx1	357390bx4	357390.bx	357390bx	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( 2^{6} \cdot 3^{6} \cdot 5^{3} \cdot 11^{6} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$12540$	$96$	$1$	$2.234009208$	$1$		$6$	$69672960$	$3.406139$	$8912089320684236569/5116268168000$	$0.96739$	$5.30965$	$[1, -1, 0, -140335749, -639530476907]$	\(y^2+xy=x^3-x^2-140335749x-639530476907\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$	$[(-6873, 20584)]$
436810.bd1	436810bd4	436810.bd	436810bd	$4$	$6$	\( 2 \cdot 5 \cdot 11^{2} \cdot 19^{2} \)	\( 2^{6} \cdot 5^{3} \cdot 11^{12} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$12540$	$96$	$1$	$33.67980502$	$1$		$0$	$348364800$	$4.055779$	$8912089320684236569/5116268168000$	$0.96739$	$5.82786$	$[1, 1, 0, -1886736183, -31528999528363]$	\(y^2+xy=x^3+x^2-1886736183x-31528999528363\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 12.24.0-6.a.1.5, $\ldots$	$[(164809798475620759/454710, 66768541684666480220521153/454710)]$

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