Elliptic curve search results

Results (28 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
3300.g1	3300h2	3300.g	3300h	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$4$	$2$	$1$	$7680$	$1.309877$	$271593488/72171$	$0.98212$	$4.86935$	$[0, -1, 0, -10708, -310088]$	\(y^2=x^3-x^2-10708x-310088\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[ ]$
3300.l1	3300r2	3300.l	3300r	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$0.301154242$	$1$		$11$	$1536$	$0.505158$	$271593488/72171$	$0.98212$	$3.67742$	$[0, 1, 0, -428, -2652]$	\(y^2=x^3+x^2-428x-2652\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(-8, 18)]$
9900.f1	9900y2	9900.f	9900y	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{14} \cdot 5^{3} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$12288$	$1.054464$	$271593488/72171$	$0.98212$	$3.95476$	$[0, 0, 0, -3855, 67750]$	\(y^2=x^3-3855x+67750\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[ ]$
9900.v1	9900x2	9900.v	9900x	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{14} \cdot 5^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$61440$	$1.859184$	$271593488/72171$	$0.98212$	$5.00436$	$[0, 0, 0, -96375, 8468750]$	\(y^2=x^3-96375x+8468750\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[ ]$
13200.ba1	13200bw2	13200.ba	13200bw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$2.915854961$	$1$		$5$	$6144$	$0.505158$	$271593488/72171$	$0.98212$	$3.14011$	$[0, -1, 0, -428, 2652]$	\(y^2=x^3-x^2-428x+2652\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(37, 190)]$
13200.bv1	13200cp2	13200.bv	13200cp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$30720$	$1.309877$	$271593488/72171$	$0.98212$	$4.15789$	$[0, 1, 0, -10708, 310088]$	\(y^2=x^3+x^2-10708x+310088\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[ ]$
36300.h1	36300bc2	36300.h	36300bc	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5^{9} \cdot 11^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$3.287815975$	$1$		$17$	$921600$	$2.508823$	$271593488/72171$	$0.98212$	$5.12757$	$[0, -1, 0, -1295708, 417909912]$	\(y^2=x^3-x^2-1295708x+417909912\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(26, 19602), (-942, 28314)]$
36300.ce1	36300ci2	36300.ce	36300ci	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1.231530795$	$1$		$5$	$184320$	$1.704105$	$271593488/72171$	$0.98212$	$4.20785$	$[0, 1, 0, -51828, 3322548]$	\(y^2=x^3+x^2-51828x+3322548\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(-213, 2178)]$
39600.bq1	39600ez2	39600.bq	39600ez	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{14} \cdot 5^{9} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$9.203939446$	$1$		$1$	$245760$	$1.859184$	$271593488/72171$	$0.98212$	$4.34905$	$[0, 0, 0, -96375, -8468750]$	\(y^2=x^3-96375x-8468750\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(-5519/6, 355121/6)]$
39600.eb1	39600ex2	39600.eb	39600ex	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{14} \cdot 5^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$5.340857033$	$1$		$1$	$49152$	$1.054464$	$271593488/72171$	$0.98212$	$3.43690$	$[0, 0, 0, -3855, -67750]$	\(y^2=x^3-3855x-67750\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(-79/2, 209/2)]$
52800.z1	52800bq2	52800.z	52800bq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{8} \cdot 5^{3} \cdot 11 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$5.315585012$	$1$		$13$	$49152$	$0.851732$	$271593488/72171$	$0.98212$	$3.12225$	$[0, -1, 0, -1713, -19503]$	\(y^2=x^3-x^2-1713x-19503\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(48, 81), (47, 40)]$
52800.bi1	52800fq2	52800.bi	52800fq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{8} \cdot 5^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$245760$	$1.656450$	$271593488/72171$	$0.98212$	$4.01028$	$[0, -1, 0, -42833, 2523537]$	\(y^2=x^3-x^2-42833x+2523537\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[ ]$
52800.go1	52800dn2	52800.go	52800dn	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{8} \cdot 5^{9} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$2.992676406$	$1$		$5$	$245760$	$1.656450$	$271593488/72171$	$0.98212$	$4.01028$	$[0, 1, 0, -42833, -2523537]$	\(y^2=x^3+x^2-42833x-2523537\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(-86, 729)]$
52800.gz1	52800hs2	52800.gz	52800hs	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{8} \cdot 5^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$0.566586025$	$1$		$9$	$49152$	$0.851732$	$271593488/72171$	$0.98212$	$3.12225$	$[0, 1, 0, -1713, 19503]$	\(y^2=x^3+x^2-1713x+19503\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(3, 120)]$
108900.ba1	108900dr2	108900.ba	108900dr	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{14} \cdot 5^{9} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$16.92022411$	$1$		$1$	$7372800$	$3.058132$	$271593488/72171$	$0.98212$	$5.21021$	$[0, 0, 0, -11661375, -11271906250]$	\(y^2=x^3-11661375x-11271906250\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(-105633319/290, 910497889829/290)]$
108900.cz1	108900dn2	108900.cz	108900dn	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{14} \cdot 5^{3} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$3.126880455$	$1$		$5$	$1474560$	$2.253414$	$271593488/72171$	$0.98212$	$4.37761$	$[0, 0, 0, -466455, -90175250]$	\(y^2=x^3-466455x-90175250\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(-429, 5566)]$
145200.bo1	145200dp2	145200.bo	145200dp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$4$	$2$	$1$	$737280$	$1.704105$	$271593488/72171$	$0.98212$	$3.71708$	$[0, -1, 0, -51828, -3322548]$	\(y^2=x^3-x^2-51828x-3322548\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[ ]$
145200.jo1	145200v2	145200.jo	145200v	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5^{9} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$8.240261673$	$1$		$3$	$3686400$	$2.508823$	$271593488/72171$	$0.98212$	$4.52952$	$[0, 1, 0, -1295708, -417909912]$	\(y^2=x^3+x^2-1295708x-417909912\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(219583, 102894750)]$
158400.dj1	158400o2	158400.dj	158400o	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{14} \cdot 5^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$1966080$	$2.205757$	$271593488/72171$	$0.98212$	$4.19285$	$[0, 0, 0, -385500, -67750000]$	\(y^2=x^3-385500x-67750000\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[ ]$
158400.es1	158400ij2	158400.es	158400ij	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{14} \cdot 5^{3} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$393216$	$1.401039$	$271593488/72171$	$0.98212$	$3.38631$	$[0, 0, 0, -15420, 542000]$	\(y^2=x^3-15420x+542000\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[ ]$
158400.kx1	158400br2	158400.kx	158400br	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{14} \cdot 5^{3} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$393216$	$1.401039$	$271593488/72171$	$0.98212$	$3.38631$	$[0, 0, 0, -15420, -542000]$	\(y^2=x^3-15420x-542000\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[ ]$
158400.ln1	158400jh2	158400.ln	158400jh	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{14} \cdot 5^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$1966080$	$2.205757$	$271593488/72171$	$0.98212$	$4.19285$	$[0, 0, 0, -385500, 67750000]$	\(y^2=x^3-385500x+67750000\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[ ]$
161700.ce1	161700cp2	161700.ce	161700cp	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 7^{6} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$2.307264427$	$1$		$5$	$552960$	$1.478113$	$271593488/72171$	$0.98212$	$3.45760$	$[0, -1, 0, -20988, 867672]$	\(y^2=x^3-x^2-20988x+867672\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(362, 6370)]$
161700.ef1	161700c2	161700.ef	161700c	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{9} \cdot 7^{6} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$2764800$	$2.282833$	$271593488/72171$	$0.98212$	$4.26276$	$[0, 1, 0, -524708, 107409588]$	\(y^2=x^3+x^2-524708x+107409588\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[ ]$
435600.fn1	435600fn2	435600.fn	435600fn	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{14} \cdot 5^{3} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$3.695879653$	$1$		$3$	$5898240$	$2.253414$	$271593488/72171$	$0.98212$	$3.91023$	$[0, 0, 0, -466455, 90175250]$	\(y^2=x^3-466455x+90175250\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(-154, 12584)]$
435600.pc1	435600pc2	435600.pc	435600pc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{14} \cdot 5^{9} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$12.91322886$	$1$		$1$	$29491200$	$3.058132$	$271593488/72171$	$0.98212$	$4.65394$	$[0, 0, 0, -11661375, 11271906250]$	\(y^2=x^3-11661375x+11271906250\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(2904066/53, 2666835886/53)]$
485100.bg1	485100bg2	485100.bg	485100bg	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{14} \cdot 5^{9} \cdot 7^{6} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$6.600624604$	$1$		$3$	$22118400$	$2.832138$	$271593488/72171$	$0.98212$	$4.40854$	$[0, 0, 0, -4722375, -2904781250]$	\(y^2=x^3-4722375x-2904781250\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(-789, 18166)]$
485100.ch1	485100ch2	485100.ch	485100ch	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{14} \cdot 5^{3} \cdot 7^{6} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$7.287923344$	$1$		$1$	$4423680$	$2.027420$	$271593488/72171$	$0.98212$	$3.67095$	$[0, 0, 0, -188895, -23238250]$	\(y^2=x^3-188895x-23238250\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(-559/2, 5249/2)]$

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