Elliptic curve search results

Results (28 matches)

  Download displayed columns for results to

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
2175.c2	2175e1	2175.c	2175e	$2$	$2$	\( 3 \cdot 5^{2} \cdot 29 \)	\( 3^{4} \cdot 5^{3} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$0.638149939$	$1$		$7$	$192$	$-0.255725$	$5177717/2349$	$0.85504$	$2.64005$	$[1, 1, 1, -18, 6]$	\(y^2+xy+y=x^3+x^2-18x+6\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[(0, 2)]$
2175.i2	2175i1	2175.i	2175i	$2$	$2$	\( 3 \cdot 5^{2} \cdot 29 \)	\( 3^{4} \cdot 5^{9} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$960$	$0.548994$	$5177717/2349$	$0.85504$	$3.89664$	$[1, 0, 1, -451, 1673]$	\(y^2+xy+y=x^3-451x+1673\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[]$
6525.c2	6525k1	6525.c	6525k	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 29 \)	\( 3^{10} \cdot 5^{9} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.904907707$	$1$		$7$	$7680$	$1.098301$	$5177717/2349$	$0.85504$	$4.15972$	$[1, -1, 1, -4055, -45178]$	\(y^2+xy+y=x^3-x^2-4055x-45178\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[(-56, 90)]$
6525.k2	6525j1	6525.k	6525j	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 29 \)	\( 3^{10} \cdot 5^{3} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.790403087$	$1$		$5$	$1536$	$0.293581$	$5177717/2349$	$0.85504$	$3.06030$	$[1, -1, 0, -162, -329]$	\(y^2+xy=x^3-x^2-162x-329\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[(-6, 23)]$
34800.bh2	34800cm1	34800.bh	34800cm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 29 \)	\( 2^{12} \cdot 3^{4} \cdot 5^{9} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$61440$	$1.242142$	$5177717/2349$	$0.85504$	$3.65891$	$[0, -1, 0, -7208, -107088]$	\(y^2=x^3-x^2-7208x-107088\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[]$
34800.ck2	34800dr1	34800.ck	34800dr	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 29 \)	\( 2^{12} \cdot 3^{4} \cdot 5^{3} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$0.620644587$	$1$		$9$	$12288$	$0.437422$	$5177717/2349$	$0.85504$	$2.73548$	$[0, 1, 0, -288, -972]$	\(y^2=x^3+x^2-288x-972\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[(-6, 24)]$
63075.f2	63075h1	63075.f	63075h	$2$	$2$	\( 3 \cdot 5^{2} \cdot 29^{2} \)	\( 3^{4} \cdot 5^{9} \cdot 29^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$6.220390158$	$1$		$9$	$806400$	$2.232643$	$5177717/2349$	$0.85504$	$4.53748$	$[1, 1, 1, -378888, 41566656]$	\(y^2+xy+y=x^3+x^2-378888x+41566656\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[(-404, 11555), (-540, 9707)]$
63075.v2	63075t1	63075.v	63075t	$2$	$2$	\( 3 \cdot 5^{2} \cdot 29^{2} \)	\( 3^{4} \cdot 5^{3} \cdot 29^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$2.266624713$	$1$		$1$	$161280$	$1.427923$	$5177717/2349$	$0.85504$	$3.66374$	$[1, 0, 1, -15156, 332533]$	\(y^2+xy+y=x^3-15156x+332533\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[(221/4, 22233/4)]$
104400.by2	104400fo1	104400.by	104400fo	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 29 \)	\( 2^{12} \cdot 3^{10} \cdot 5^{3} \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.750678094$	$1$		$19$	$98304$	$0.986729$	$5177717/2349$	$0.85504$	$3.04584$	$[0, 0, 0, -2595, 23650]$	\(y^2=x^3-2595x+23650\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[(-1, 162), (-25, 270)]$
104400.ev2	104400fj1	104400.ev	104400fj	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 29 \)	\( 2^{12} \cdot 3^{10} \cdot 5^{9} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$491520$	$1.791447$	$5177717/2349$	$0.85504$	$3.88147$	$[0, 0, 0, -64875, 2956250]$	\(y^2=x^3-64875x+2956250\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[]$
106575.bf2	106575cy1	106575.bf	106575cy	$2$	$2$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 29 \)	\( 3^{4} \cdot 5^{3} \cdot 7^{6} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.521015562$	$1$		$5$	$69120$	$0.717231$	$5177717/2349$	$0.85504$	$2.76106$	$[1, 0, 0, -883, -4768]$	\(y^2+xy=x^3-883x-4768\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[(-17, 82)]$
106575.cc2	106575bl1	106575.cc	106575bl	$2$	$2$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 29 \)	\( 3^{4} \cdot 5^{9} \cdot 7^{6} \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$14.21009975$	$1$		$5$	$345600$	$1.521950$	$5177717/2349$	$0.85504$	$3.59521$	$[1, 1, 0, -22075, -596000]$	\(y^2+xy=x^3+x^2-22075x-596000\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[(-36, 410), (304, 4420)]$
139200.be2	139200hs1	139200.be	139200hs	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 29 \)	\( 2^{18} \cdot 3^{4} \cdot 5^{9} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$491520$	$1.588715$	$5177717/2349$	$0.85504$	$3.58178$	$[0, -1, 0, -28833, 885537]$	\(y^2=x^3-x^2-28833x+885537\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[]$
139200.bf2	139200cr1	139200.bf	139200cr	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 29 \)	\( 2^{18} \cdot 3^{4} \cdot 5^{3} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.589602937$	$1$		$5$	$98304$	$0.783996$	$5177717/2349$	$0.85504$	$2.76644$	$[0, -1, 0, -1153, -6623]$	\(y^2=x^3-x^2-1153x-6623\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[(-8, 45)]$
139200.iq2	139200s1	139200.iq	139200s	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 29 \)	\( 2^{18} \cdot 3^{4} \cdot 5^{9} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$491520$	$1.588715$	$5177717/2349$	$0.85504$	$3.58178$	$[0, 1, 0, -28833, -885537]$	\(y^2=x^3+x^2-28833x-885537\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[]$
139200.ir2	139200fp1	139200.ir	139200fp	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 29 \)	\( 2^{18} \cdot 3^{4} \cdot 5^{3} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.348520180$	$1$		$5$	$98304$	$0.783996$	$5177717/2349$	$0.85504$	$2.76644$	$[0, 1, 0, -1153, 6623]$	\(y^2=x^3+x^2-1153x+6623\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[(-7, 120)]$
189225.m2	189225i1	189225.m	189225i	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 29^{2} \)	\( 3^{10} \cdot 5^{3} \cdot 29^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$3.882599660$	$1$		$3$	$1290240$	$1.977230$	$5177717/2349$	$0.85504$	$3.87498$	$[1, -1, 1, -136400, -8978398]$	\(y^2+xy+y=x^3-x^2-136400x-8978398\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[(-330, 43)]$
189225.be2	189225bc1	189225.be	189225bc	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 29^{2} \)	\( 3^{10} \cdot 5^{9} \cdot 29^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$17.30240998$	$1$		$1$	$6451200$	$2.781948$	$5177717/2349$	$0.85504$	$4.66971$	$[1, -1, 0, -3409992, -1125709709]$	\(y^2+xy=x^3-x^2-3409992x-1125709709\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[(-57918529/410, 209292283951/410)]$
263175.z2	263175z1	263175.z	263175z	$2$	$2$	\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 29 \)	\( 3^{4} \cdot 5^{9} \cdot 11^{6} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$1382400$	$1.747942$	$5177717/2349$	$0.85504$	$3.55210$	$[1, 0, 0, -54513, -2281608]$	\(y^2+xy=x^3-54513x-2281608\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[]$
263175.ce2	263175ce1	263175.ce	263175ce	$2$	$2$	\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 29 \)	\( 3^{4} \cdot 5^{3} \cdot 11^{6} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$4.287689340$	$1$		$3$	$276480$	$0.943223$	$5177717/2349$	$0.85504$	$2.77836$	$[1, 1, 0, -2180, -19125]$	\(y^2+xy=x^3+x^2-2180x-19125\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[(194, 2531)]$
319725.bb2	319725bb1	319725.bb	319725bb	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \)	\( 3^{10} \cdot 5^{9} \cdot 7^{6} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$2764800$	$2.071255$	$5177717/2349$	$0.85504$	$3.80364$	$[1, -1, 1, -198680, 15893322]$	\(y^2+xy+y=x^3-x^2-198680x+15893322\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[]$
319725.df2	319725df1	319725.df	319725df	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \)	\( 3^{10} \cdot 5^{3} \cdot 7^{6} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$552960$	$1.266537$	$5177717/2349$	$0.85504$	$3.04179$	$[1, -1, 0, -7947, 128736]$	\(y^2+xy=x^3-x^2-7947x+128736\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[]$
367575.r2	367575r1	367575.r	367575r	$2$	$2$	\( 3 \cdot 5^{2} \cdot 13^{2} \cdot 29 \)	\( 3^{4} \cdot 5^{9} \cdot 13^{6} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$2073600$	$1.831469$	$5177717/2349$	$0.85504$	$3.53770$	$[1, 0, 0, -76138, 3752267]$	\(y^2+xy=x^3-76138x+3752267\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[]$
367575.bl2	367575bl1	367575.bl	367575bl	$2$	$2$	\( 3 \cdot 5^{2} \cdot 13^{2} \cdot 29 \)	\( 3^{4} \cdot 5^{3} \cdot 13^{6} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$3.524842550$	$1$		$3$	$414720$	$1.026751$	$5177717/2349$	$0.85504$	$2.78414$	$[1, 1, 0, -3045, 28800]$	\(y^2+xy=x^3+x^2-3045x+28800\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[(84, 570)]$
417600.eb2	417600eb1	417600.eb	417600eb	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 29 \)	\( 2^{18} \cdot 3^{10} \cdot 5^{9} \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$8.162792728$	$1$		$11$	$3932160$	$2.138020$	$5177717/2349$	$0.85504$	$3.78706$	$[0, 0, 0, -259500, -23650000]$	\(y^2=x^3-259500x-23650000\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[(-314, 5184), (-179, 4131)]$
417600.eg2	417600eg1	417600.eg	417600eg	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 29 \)	\( 2^{18} \cdot 3^{10} \cdot 5^{3} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.563901954$	$1$		$5$	$786432$	$1.333302$	$5177717/2349$	$0.85504$	$3.04093$	$[0, 0, 0, -10380, 189200]$	\(y^2=x^3-10380x+189200\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[(-14, 576)]$
417600.lm2	417600lm1	417600.lm	417600lm	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 29 \)	\( 2^{18} \cdot 3^{10} \cdot 5^{9} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$3.769555997$	$1$		$5$	$3932160$	$2.138020$	$5177717/2349$	$0.85504$	$3.78706$	$[0, 0, 0, -259500, 23650000]$	\(y^2=x^3-259500x+23650000\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[(-496, 5508)]$
417600.lt2	417600lt1	417600.lt	417600lt	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 29 \)	\( 2^{18} \cdot 3^{10} \cdot 5^{3} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$786432$	$1.333302$	$5177717/2349$	$0.85504$	$3.04093$	$[0, 0, 0, -10380, -189200]$	\(y^2=x^3-10380x-189200\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.?	$[]$

  Download displayed columns for results to