Elliptic curve search results

Results (20 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
1002.b1	1002b1	1002.b	1002b	$1$	$1$	\( 2 \cdot 3 \cdot 167 \)	\( - 2^{23} \cdot 3^{2} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1336$	$2$	$0$	$1$	$1$		$0$	$1104$	$0.627110$	$19785968032823/12608077824$	$0.98193$	$4.43084$	$[1, 1, 0, 564, 1872]$	\(y^2+xy=x^3+x^2+564x+1872\)	1336.2.0.?	$[]$
3006.c1	3006f1	3006.c	3006f	$1$	$1$	\( 2 \cdot 3^{2} \cdot 167 \)	\( - 2^{23} \cdot 3^{8} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$0.226578814$	$1$		$8$	$8832$	$1.176416$	$19785968032823/12608077824$	$0.98193$	$4.64610$	$[1, -1, 1, 5071, -45471]$	\(y^2+xy+y=x^3-x^2+5071x-45471\)	1336.2.0.?	$[(23, 276)]$
8016.j1	8016i1	8016.j	8016i	$1$	$1$	\( 2^{4} \cdot 3 \cdot 167 \)	\( - 2^{35} \cdot 3^{2} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$3.718249582$	$1$		$2$	$26496$	$1.320257$	$19785968032823/12608077824$	$0.98193$	$4.33117$	$[0, 1, 0, 9016, -101772]$	\(y^2=x^3+x^2+9016x-101772\)	1336.2.0.?	$[(76, 1014)]$
24048.a1	24048j1	24048.a	24048j	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 167 \)	\( - 2^{35} \cdot 3^{8} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1$	$1$		$0$	$211968$	$1.869564$	$19785968032823/12608077824$	$0.98193$	$4.51292$	$[0, 0, 0, 81141, 2828986]$	\(y^2=x^3+81141x+2828986\)	1336.2.0.?	$[]$
25050.x1	25050w1	25050.x	25050w	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{23} \cdot 3^{2} \cdot 5^{6} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$0.587837612$	$1$		$6$	$119232$	$1.431829$	$19785968032823/12608077824$	$0.98193$	$3.97612$	$[1, 0, 0, 14087, 205817]$	\(y^2+xy=x^3+14087x+205817\)	1336.2.0.?	$[(26, 755)]$
32064.a1	32064n1	32064.a	32064n	$1$	$1$	\( 2^{6} \cdot 3 \cdot 167 \)	\( - 2^{41} \cdot 3^{2} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1$	$1$		$0$	$211968$	$1.666832$	$19785968032823/12608077824$	$0.98193$	$4.15331$	$[0, -1, 0, 36063, -850239]$	\(y^2=x^3-x^2+36063x-850239\)	1336.2.0.?	$[]$
32064.m1	32064k1	32064.m	32064k	$1$	$1$	\( 2^{6} \cdot 3 \cdot 167 \)	\( - 2^{41} \cdot 3^{2} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$4.801214787$	$1$		$2$	$211968$	$1.666832$	$19785968032823/12608077824$	$0.98193$	$4.15331$	$[0, 1, 0, 36063, 850239]$	\(y^2=x^3+x^2+36063x+850239\)	1336.2.0.?	$[(18, 1227)]$
49098.l1	49098q1	49098.l	49098q	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 167 \)	\( - 2^{23} \cdot 3^{2} \cdot 7^{6} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$8.494351456$	$1$		$0$	$364320$	$1.600065$	$19785968032823/12608077824$	$0.98193$	$3.91530$	$[1, 0, 1, 27610, -559240]$	\(y^2+xy+y=x^3+27610x-559240\)	1336.2.0.?	$[(1236/7, 129856/7)]$
75150.d1	75150o1	75150.d	75150o	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2^{23} \cdot 3^{8} \cdot 5^{6} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$7.252372062$	$1$		$2$	$953856$	$1.981136$	$19785968032823/12608077824$	$0.98193$	$4.17416$	$[1, -1, 0, 126783, -5557059]$	\(y^2+xy=x^3-x^2+126783x-5557059\)	1336.2.0.?	$[(4065, 258099)]$
96192.y1	96192z1	96192.y	96192z	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 167 \)	\( - 2^{41} \cdot 3^{8} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1$	$1$		$0$	$1695744$	$2.216137$	$19785968032823/12608077824$	$0.98193$	$4.33013$	$[0, 0, 0, 324564, 22631888]$	\(y^2=x^3+324564x+22631888\)	1336.2.0.?	$[]$
96192.bb1	96192g1	96192.bb	96192g	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 167 \)	\( - 2^{41} \cdot 3^{8} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1$	$4$	$2$	$0$	$1695744$	$2.216137$	$19785968032823/12608077824$	$0.98193$	$4.33013$	$[0, 0, 0, 324564, -22631888]$	\(y^2=x^3+324564x-22631888\)	1336.2.0.?	$[]$
121242.bb1	121242z1	121242.bb	121242z	$1$	$1$	\( 2 \cdot 3 \cdot 11^{2} \cdot 167 \)	\( - 2^{23} \cdot 3^{2} \cdot 11^{6} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$0.510455520$	$1$		$4$	$1192320$	$1.826057$	$19785968032823/12608077824$	$0.98193$	$3.84462$	$[1, 1, 1, 68181, -2150631]$	\(y^2+xy+y=x^3+x^2+68181x-2150631\)	1336.2.0.?	$[(787, 22838)]$
147294.cr1	147294bi1	147294.cr	147294bi	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 167 \)	\( - 2^{23} \cdot 3^{8} \cdot 7^{6} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1.655719861$	$1$		$2$	$2914560$	$2.149372$	$19785968032823/12608077824$	$0.98193$	$4.10776$	$[1, -1, 1, 248494, 15099473]$	\(y^2+xy+y=x^3-x^2+248494x+15099473\)	1336.2.0.?	$[(417, 13615)]$
167334.b1	167334k1	167334.b	167334k	$1$	$1$	\( 2 \cdot 3 \cdot 167^{2} \)	\( - 2^{23} \cdot 3^{2} \cdot 167^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1$	$1$		$0$	$30788352$	$3.186108$	$19785968032823/12608077824$	$0.98193$	$5.09854$	$[1, 1, 0, 15714871, -7618392891]$	\(y^2+xy=x^3+x^2+15714871x-7618392891\)	1336.2.0.?	$[]$
169338.o1	169338g1	169338.o	169338g	$1$	$1$	\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \)	\( - 2^{23} \cdot 3^{2} \cdot 13^{6} \cdot 167 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$0.281657948$	$1$		$24$	$2543616$	$1.909586$	$19785968032823/12608077824$	$0.98193$	$3.82118$	$[1, 1, 1, 95228, 3636485]$	\(y^2+xy+y=x^3+x^2+95228x+3636485\)	1336.2.0.?	$[(317, 7953), (733, 21265)]$
200400.bb1	200400bo1	200400.bb	200400bo	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{35} \cdot 3^{2} \cdot 5^{6} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$4.415132955$	$1$		$2$	$2861568$	$2.124977$	$19785968032823/12608077824$	$0.98193$	$3.98019$	$[0, -1, 0, 225392, -13172288]$	\(y^2=x^3-x^2+225392x-13172288\)	1336.2.0.?	$[(30616, 5357568)]$
289578.c1	289578c1	289578.c	289578c	$1$	$1$	\( 2 \cdot 3 \cdot 17^{2} \cdot 167 \)	\( - 2^{23} \cdot 3^{2} \cdot 17^{6} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1$	$1$		$0$	$5723136$	$2.043716$	$19785968032823/12608077824$	$0.98193$	$3.78615$	$[1, 0, 1, 162845, 8056862]$	\(y^2+xy+y=x^3+162845x+8056862\)	1336.2.0.?	$[]$
361722.bh1	361722bh1	361722.bh	361722bh	$1$	$1$	\( 2 \cdot 3 \cdot 19^{2} \cdot 167 \)	\( - 2^{23} \cdot 3^{2} \cdot 19^{6} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1$	$1$		$0$	$7948800$	$2.099331$	$19785968032823/12608077824$	$0.98193$	$3.77248$	$[1, 0, 0, 203416, -11212224]$	\(y^2+xy=x^3+203416x-11212224\)	1336.2.0.?	$[]$
363726.e1	363726e1	363726.e	363726e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 167 \)	\( - 2^{23} \cdot 3^{8} \cdot 11^{6} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1$	$1$		$0$	$9538560$	$2.375362$	$19785968032823/12608077824$	$0.98193$	$4.02955$	$[1, -1, 0, 613629, 58680661]$	\(y^2+xy=x^3-x^2+613629x+58680661\)	1336.2.0.?	$[]$
392784.a1	392784a1	392784.a	392784a	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \)	\( - 2^{35} \cdot 3^{2} \cdot 7^{6} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1$	$1$		$0$	$8743680$	$2.293213$	$19785968032823/12608077824$	$0.98193$	$3.92898$	$[0, -1, 0, 441768, 35791344]$	\(y^2=x^3-x^2+441768x+35791344\)	1336.2.0.?	$[]$