Elliptic curve search results

Results (28 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
1610.a1	1610a2	1610.a	1610a	$2$	$2$	\( 2 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{7} \cdot 5^{8} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$1288$	$12$	$0$	$4.606182498$	$1$		$0$	$2688$	$1.081957$	$420676324562824569/56350000000$	$1.07730$	$5.49576$	$[1, -1, 0, -15610, -746700]$	\(y^2+xy=x^3-x^2-15610x-746700\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(2215/2, 99035/2)]$
8050.r1	8050q2	8050.r	8050q	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{7} \cdot 5^{14} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$0$	$64512$	$1.886675$	$420676324562824569/56350000000$	$1.07730$	$5.58600$	$[1, -1, 1, -390255, -93727753]$	\(y^2+xy+y=x^3-x^2-390255x-93727753\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
11270.f1	11270f2	11270.f	11270f	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{7} \cdot 5^{8} \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$0.981042821$	$1$		$6$	$129024$	$2.054913$	$420676324562824569/56350000000$	$1.07730$	$5.60093$	$[1, -1, 0, -764899, 257647893]$	\(y^2+xy=x^3-x^2-764899x+257647893\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(457, 1609)]$
12880.i1	12880s2	12880.i	12880s	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{19} \cdot 5^{8} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$1$	$64512$	$1.775103$	$420676324562824569/56350000000$	$1.07730$	$5.16709$	$[0, 0, 0, -249763, 48038562]$	\(y^2=x^3-249763x+48038562\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
14490.bv1	14490bx2	14490.bv	14490bx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{7} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$0.110594924$	$1$		$18$	$86016$	$1.631262$	$420676324562824569/56350000000$	$1.07730$	$4.92342$	$[1, -1, 1, -140492, 20301391]$	\(y^2+xy+y=x^3-x^2-140492x+20301391\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(241, 509)]$
37030.j1	37030j2	37030.j	37030j	$2$	$2$	\( 2 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{7} \cdot 5^{8} \cdot 7^{2} \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$0$	$1419264$	$2.649704$	$420676324562824569/56350000000$	$1.07730$	$5.64606$	$[1, -1, 0, -8257789, 9134645445]$	\(y^2+xy=x^3-x^2-8257789x+9134645445\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
51520.bf1	51520r2	51520.bf	51520r	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{25} \cdot 5^{8} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$1$	$516096$	$2.121677$	$420676324562824569/56350000000$	$1.07730$	$4.89020$	$[0, 0, 0, -999052, -384308496]$	\(y^2=x^3-999052x-384308496\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
51520.bm1	51520ck2	51520.bm	51520ck	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{25} \cdot 5^{8} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1.000387492$	$1$		$5$	$516096$	$2.121677$	$420676324562824569/56350000000$	$1.07730$	$4.89020$	$[0, 0, 0, -999052, 384308496]$	\(y^2=x^3-999052x+384308496\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(482, 3840)]$
56350.bq1	56350bm2	56350.bq	56350bm	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{7} \cdot 5^{14} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$0$	$3096576$	$2.859631$	$420676324562824569/56350000000$	$1.07730$	$5.65964$	$[1, -1, 1, -19122480, 32186864147]$	\(y^2+xy+y=x^3-x^2-19122480x+32186864147\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
64400.bd1	64400ba2	64400.bd	64400ba	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{19} \cdot 5^{14} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$1$	$1548288$	$2.579823$	$420676324562824569/56350000000$	$1.07730$	$5.28815$	$[0, 0, 0, -6244075, 6004820250]$	\(y^2=x^3-6244075x+6004820250\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
72450.bu1	72450bo2	72450.bu	72450bo	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{7} \cdot 3^{6} \cdot 5^{14} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1.922364876$	$1$		$6$	$2064384$	$2.435982$	$420676324562824569/56350000000$	$1.07730$	$5.07825$	$[1, -1, 0, -3512292, 2534161616]$	\(y^2+xy=x^3-x^2-3512292x+2534161616\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(1099, 238)]$
90160.bz1	90160cw2	90160.bz	90160cw	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{19} \cdot 5^{8} \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$2.130594322$	$1$		$5$	$3096576$	$2.748058$	$420676324562824569/56350000000$	$1.07730$	$5.30915$	$[0, 0, 0, -12238387, -16477226766]$	\(y^2=x^3-12238387x-16477226766\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(-2007, 960)]$
101430.df1	101430ee2	101430.df	101430ee	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{7} \cdot 3^{6} \cdot 5^{8} \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1.817060732$	$1$		$6$	$4128768$	$2.604218$	$420676324562824569/56350000000$	$1.07730$	$5.10516$	$[1, -1, 1, -6884093, -6949609019]$	\(y^2+xy+y=x^3-x^2-6884093x-6949609019\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(-1517, 1640)]$
115920.eu1	115920eu2	115920.eu	115920eu	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{19} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$2.093313797$	$1$		$7$	$2064384$	$2.324409$	$420676324562824569/56350000000$	$1.07730$	$4.75874$	$[0, 0, 0, -2247867, -1297041174]$	\(y^2=x^3-2247867x-1297041174\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(-873, 90)]$
185150.bs1	185150t2	185150.bs	185150t	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( 2^{7} \cdot 5^{14} \cdot 7^{2} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1.742798390$	$1$		$2$	$34062336$	$3.454422$	$420676324562824569/56350000000$	$1.07730$	$5.69302$	$[1, -1, 1, -206444730, 1141624235897]$	\(y^2+xy+y=x^3-x^2-206444730x+1141624235897\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(8585, 40143)]$
194810.z1	194810c2	194810.z	194810c	$2$	$2$	\( 2 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 23 \)	\( 2^{7} \cdot 5^{8} \cdot 7^{2} \cdot 11^{6} \cdot 23 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$4.041186512$	$1$		$12$	$3870720$	$2.280903$	$420676324562824569/56350000000$	$1.07730$	$4.51305$	$[1, -1, 1, -1888833, 999524177]$	\(y^2+xy+y=x^3-x^2-1888833x+999524177\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(943, 7028), (817, 680)]$
257600.cu1	257600cu2	257600.cu	257600cu	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{25} \cdot 5^{14} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$1$	$12386304$	$2.926395$	$420676324562824569/56350000000$	$1.07730$	$5.03356$	$[0, 0, 0, -24976300, 48038562000]$	\(y^2=x^3-24976300x+48038562000\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
257600.dp1	257600dp2	257600.dp	257600dp	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{25} \cdot 5^{14} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$12.53851969$	$1$		$1$	$12386304$	$2.926395$	$420676324562824569/56350000000$	$1.07730$	$5.03356$	$[0, 0, 0, -24976300, -48038562000]$	\(y^2=x^3-24976300x-48038562000\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(-87112314/173, 833059584/173)]$
259210.q1	259210q2	259210.q	259210q	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	\( 2^{7} \cdot 5^{8} \cdot 7^{8} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$35.55629395$	$1$		$0$	$68124672$	$3.622658$	$420676324562824569/56350000000$	$1.07730$	$5.70131$	$[1, -1, 0, -404631670, -3132374124300]$	\(y^2+xy=x^3-x^2-404631670x-3132374124300\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(54223484187854595/1134019, 10761720663489631742161035/1134019)]$
272090.bt1	272090bt2	272090.bt	272090bt	$2$	$2$	\( 2 \cdot 5 \cdot 7 \cdot 13^{2} \cdot 23 \)	\( 2^{7} \cdot 5^{8} \cdot 7^{2} \cdot 13^{6} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$0$	$5806080$	$2.364429$	$420676324562824569/56350000000$	$1.07730$	$4.47266$	$[1, -1, 1, -2638122, -1648414231]$	\(y^2+xy+y=x^3-x^2-2638122x-1648414231\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
296240.bt1	296240bt2	296240.bt	296240bt	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{19} \cdot 5^{8} \cdot 7^{2} \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$1$	$34062336$	$3.342850$	$420676324562824569/56350000000$	$1.07730$	$5.37438$	$[0, 0, 0, -132124627, -584485183854]$	\(y^2=x^3-132124627x-584485183854\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
333270.du1	333270du2	333270.du	333270du	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{7} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$2.526342058$	$1$		$4$	$45416448$	$3.199009$	$420676324562824569/56350000000$	$1.07730$	$5.18886$	$[1, -1, 1, -74320103, -246561106913]$	\(y^2+xy+y=x^3-x^2-74320103x-246561106913\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(-4939, 5114)]$
360640.dz1	360640dz2	360640.dz	360640dz	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{25} \cdot 5^{8} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$4$	$2$	$1$	$24772608$	$3.094631$	$420676324562824569/56350000000$	$1.07730$	$5.05897$	$[0, 0, 0, -48953548, 131817814128]$	\(y^2=x^3-48953548x+131817814128\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
360640.ea1	360640ea2	360640.ea	360640ea	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{25} \cdot 5^{8} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$1$	$24772608$	$3.094631$	$420676324562824569/56350000000$	$1.07730$	$5.05897$	$[0, 0, 0, -48953548, -131817814128]$	\(y^2=x^3-48953548x-131817814128\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
450800.dj1	450800dj2	450800.dj	450800dj	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{19} \cdot 5^{14} \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$31.00424049$	$1$		$1$	$74317824$	$3.552776$	$420676324562824569/56350000000$	$1.07730$	$5.39455$	$[0, 0, 0, -305959675, -2059653345750]$	\(y^2=x^3-305959675x-2059653345750\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(396116260751561/119480, 5609242154808586423941/119480)]$
463680.bm1	463680bm2	463680.bm	463680bm	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{25} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1.819114027$	$1$		$7$	$16515072$	$2.670982$	$420676324562824569/56350000000$	$1.07730$	$4.57187$	$[0, 0, 0, -8991468, 10376329392]$	\(y^2=x^3-8991468x+10376329392\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(1702, 1792)]$
463680.ff1	463680ff2	463680.ff	463680ff	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{25} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$1$	$16515072$	$2.670982$	$420676324562824569/56350000000$	$1.07730$	$4.57187$	$[0, 0, 0, -8991468, -10376329392]$	\(y^2=x^3-8991468x-10376329392\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
465290.t1	465290t2	465290.t	465290t	$2$	$2$	\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \cdot 23 \)	\( 2^{7} \cdot 5^{8} \cdot 7^{2} \cdot 17^{6} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$0$	$13246464$	$2.498562$	$420676324562824569/56350000000$	$1.07730$	$4.41211$	$[1, -1, 0, -4511344, -3686582400]$	\(y^2+xy=x^3-x^2-4511344x-3686582400\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$