Elliptic curve search results

Results (19 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
2442.h3	2442i2	2442.h	2442i	$4$	$6$	\( 2 \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{6} \cdot 3^{6} \cdot 11^{6} \cdot 37 \)	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$4884$	$96$	$1$	$1.810495307$	$1$		$12$	$6912$	$1.208448$	$264788619837198625/3058196150592$	$1.02143$	$5.14292$	$[1, 0, 0, -13378, -590716]$	\(y^2+xy=x^3-13378x-590716\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 74.6.0.?, 132.48.0.?, $\ldots$	$[(-70, 98)]$
7326.a3	7326c2	7326.a	7326c	$4$	$6$	\( 2 \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{6} \cdot 3^{12} \cdot 11^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$4884$	$96$	$1$	$1.370185608$	$1$		$6$	$55296$	$1.757753$	$264788619837198625/3058196150592$	$1.02143$	$5.24873$	$[1, -1, 0, -120402, 15949332]$	\(y^2+xy=x^3-x^2-120402x+15949332\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 74.6.0.?, 132.48.0.?, $\ldots$	$[(156, 894)]$
19536.i3	19536t2	19536.i	19536t	$4$	$6$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{18} \cdot 3^{6} \cdot 11^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4884$	$96$	$1$	$2.830342624$	$1$		$3$	$165888$	$1.901594$	$264788619837198625/3058196150592$	$1.02143$	$4.90237$	$[0, -1, 0, -214048, 37805824]$	\(y^2=x^3-x^2-214048x+37805824\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 74.6.0.?, $\ldots$	$[(240, 448)]$
26862.h3	26862i2	26862.h	26862i	$4$	$6$	\( 2 \cdot 3 \cdot 11^{2} \cdot 37 \)	\( 2^{6} \cdot 3^{6} \cdot 11^{12} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4884$	$96$	$1$	$1$	$1$		$0$	$829440$	$2.407394$	$264788619837198625/3058196150592$	$1.02143$	$5.34444$	$[1, 0, 1, -1618741, 784624256]$	\(y^2+xy+y=x^3-1618741x+784624256\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 33.8.0-3.a.1.2, $\ldots$	$[]$
58608.bd3	58608bo2	58608.bd	58608bo	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{18} \cdot 3^{12} \cdot 11^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4884$	$96$	$1$	$2.427872488$	$1$		$5$	$1327104$	$2.450901$	$264788619837198625/3058196150592$	$1.02143$	$5.01221$	$[0, 0, 0, -1926435, -1018830814]$	\(y^2=x^3-1926435x-1018830814\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 74.6.0.?, $\ldots$	$[(-745, 1694)]$
61050.u3	61050i2	61050.u	61050i	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 11^{6} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24420$	$96$	$1$	$1$	$1$		$0$	$995328$	$2.013168$	$264788619837198625/3058196150592$	$1.02143$	$4.51695$	$[1, 1, 0, -334450, -73839500]$	\(y^2+xy=x^3+x^2-334450x-73839500\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$	$[]$
78144.s3	78144d2	78144.s	78144d	$4$	$6$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{24} \cdot 3^{6} \cdot 11^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9768$	$96$	$1$	$10.34983200$	$1$		$1$	$1327104$	$2.248169$	$264788619837198625/3058196150592$	$1.02143$	$4.66829$	$[0, -1, 0, -856193, -301590399]$	\(y^2=x^3-x^2-856193x-301590399\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 74.6.0.?, $\ldots$	$[(-84057/13, 2163864/13)]$
78144.ct3	78144cy2	78144.ct	78144cy	$4$	$6$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{24} \cdot 3^{6} \cdot 11^{6} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9768$	$96$	$1$	$1$	$1$		$1$	$1327104$	$2.248169$	$264788619837198625/3058196150592$	$1.02143$	$4.66829$	$[0, 1, 0, -856193, 301590399]$	\(y^2=x^3+x^2-856193x+301590399\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 74.6.0.?, $\ldots$	$[]$
80586.bc3	80586bg2	80586.bc	80586bg	$4$	$6$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{6} \cdot 3^{12} \cdot 11^{12} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4884$	$96$	$1$	$6.761565034$	$1$		$2$	$6635520$	$2.956699$	$264788619837198625/3058196150592$	$1.02143$	$5.40819$	$[1, -1, 1, -14568665, -21184854919]$	\(y^2+xy+y=x^3-x^2-14568665x-21184854919\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 33.8.0-3.a.1.1, $\ldots$	$[(-2171, 15498)]$
90354.g3	90354j2	90354.g	90354j	$4$	$6$	\( 2 \cdot 3 \cdot 11 \cdot 37^{2} \)	\( 2^{6} \cdot 3^{6} \cdot 11^{6} \cdot 37^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4884$	$96$	$1$	$1.132080704$	$1$		$4$	$9455616$	$3.013905$	$264788619837198625/3058196150592$	$1.02143$	$5.41412$	$[1, 0, 1, -18314511, -29866594046]$	\(y^2+xy+y=x^3-18314511x-29866594046\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 74.6.0.?, 111.8.0.?, $\ldots$	$[(12287, 1258812)]$
119658.ci3	119658co2	119658.ci	119658co	$4$	$6$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 37 \)	\( 2^{6} \cdot 3^{6} \cdot 7^{6} \cdot 11^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$34188$	$96$	$1$	$0.453341630$	$1$		$10$	$1990656$	$2.181404$	$264788619837198625/3058196150592$	$1.02143$	$4.42965$	$[1, 1, 1, -655523, 201960065]$	\(y^2+xy+y=x^3+x^2-655523x+201960065\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$	$[(293, 5782)]$
183150.fk3	183150by2	183150.fk	183150by	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{6} \cdot 3^{12} \cdot 5^{6} \cdot 11^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24420$	$96$	$1$	$2.939701858$	$1$		$4$	$7962624$	$2.562473$	$264788619837198625/3058196150592$	$1.02143$	$4.65141$	$[1, -1, 1, -3010055, 1990656447]$	\(y^2+xy+y=x^3-x^2-3010055x+1990656447\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$	$[(1103, 2850)]$
214896.o3	214896z2	214896.o	214896z	$4$	$6$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( 2^{18} \cdot 3^{6} \cdot 11^{12} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4884$	$96$	$1$	$1$	$4$	$2$	$1$	$19906560$	$3.100544$	$264788619837198625/3058196150592$	$1.02143$	$5.11674$	$[0, -1, 0, -25899848, -50215952400]$	\(y^2=x^3-x^2-25899848x-50215952400\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 74.6.0.?, $\ldots$	$[]$
234432.bv3	234432bv2	234432.bv	234432bv	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{24} \cdot 3^{12} \cdot 11^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9768$	$96$	$1$	$3.408064339$	$1$		$5$	$10616832$	$2.797474$	$264788619837198625/3058196150592$	$1.02143$	$4.78661$	$[0, 0, 0, -7705740, 8150646512]$	\(y^2=x^3-7705740x+8150646512\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 74.6.0.?, $\ldots$	$[(1864, 16236)]$
234432.cy3	234432cy2	234432.cy	234432cy	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{24} \cdot 3^{12} \cdot 11^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9768$	$96$	$1$	$28.51984634$	$1$		$1$	$10616832$	$2.797474$	$264788619837198625/3058196150592$	$1.02143$	$4.78661$	$[0, 0, 0, -7705740, -8150646512]$	\(y^2=x^3-7705740x-8150646512\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 74.6.0.?, $\ldots$	$[(-6962686999488/65819, 2589461618245775924/65819)]$
271062.x3	271062x2	271062.x	271062x	$4$	$6$	\( 2 \cdot 3^{2} \cdot 11 \cdot 37^{2} \)	\( 2^{6} \cdot 3^{12} \cdot 11^{6} \cdot 37^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4884$	$96$	$1$	$2.090793919$	$1$		$2$	$75644928$	$3.563213$	$264788619837198625/3058196150592$	$1.02143$	$5.46557$	$[1, -1, 1, -164830595, 806398039235]$	\(y^2+xy+y=x^3-x^2-164830595x+806398039235\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 74.6.0.?, 111.8.0.?, $\ldots$	$[(-12219, -991892)]$
358974.bi3	358974bi2	358974.bi	358974bi	$4$	$6$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 37 \)	\( 2^{6} \cdot 3^{12} \cdot 7^{6} \cdot 11^{6} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$34188$	$96$	$1$	$1$	$1$		$0$	$15925248$	$2.730709$	$264788619837198625/3058196150592$	$1.02143$	$4.56452$	$[1, -1, 0, -5899707, -5458821467]$	\(y^2+xy=x^3-x^2-5899707x-5458821467\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$	$[]$
412698.bg3	412698bg2	412698.bg	412698bg	$4$	$6$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 37 \)	\( 2^{6} \cdot 3^{6} \cdot 11^{6} \cdot 13^{6} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$63492$	$96$	$1$	$1$	$1$		$0$	$14929920$	$2.490921$	$264788619837198625/3058196150592$	$1.02143$	$4.29276$	$[1, 0, 1, -2260886, -1295542168]$	\(y^2+xy+y=x^3-2260886x-1295542168\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 74.6.0.?, $\ldots$	$[]$
488400.ej3	488400ej2	488400.ej	488400ej	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{18} \cdot 3^{6} \cdot 5^{6} \cdot 11^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$24420$	$96$	$1$	$2.017919379$	$1$		$5$	$23887872$	$2.706314$	$264788619837198625/3058196150592$	$1.02143$	$4.43489$	$[0, 1, 0, -5351208, 4715025588]$	\(y^2=x^3+x^2-5351208x+4715025588\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.4, 74.6.0.?, $\ldots$	$[(1518, 9600)]$