Elliptic curve search results

Results (34 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
2200.d1	2200b1	2200.d	2200b	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 11 \)	\( - 2^{11} \cdot 5^{9} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$960$	$0.730170$	$13718/11$	$0.77106$	$4.11060$	$1$	$[0, -1, 0, 792, -5588]$	\(y^2=x^3-x^2+792x-5588\)	440.2.0.?	$[ ]$	$1$
2200.h1	2200i1	2200.h	2200i	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 11 \)	\( - 2^{11} \cdot 5^{3} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1.211531085$	$1$		$2$	$192$	$-0.074549$	$13718/11$	$0.77106$	$2.85587$	$1$	$[0, 1, 0, 32, -32]$	\(y^2=x^3+x^2+32x-32\)	440.2.0.?	$[(3, 10)]$	$1$
4400.j1	4400i1	4400.j	4400i	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 11 \)	\( - 2^{11} \cdot 5^{3} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$0.476050636$	$1$		$6$	$384$	$-0.074549$	$13718/11$	$0.77106$	$2.61991$	$1$	$[0, -1, 0, 32, 32]$	\(y^2=x^3-x^2+32x+32\)	440.2.0.?	$[(2, 10)]$	$1$
4400.u1	4400h1	4400.u	4400h	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 11 \)	\( - 2^{11} \cdot 5^{9} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$0.708420572$	$1$		$4$	$1920$	$0.730170$	$13718/11$	$0.77106$	$3.77097$	$1$	$[0, 1, 0, 792, 5588]$	\(y^2=x^3+x^2+792x+5588\)	440.2.0.?	$[(58, 500)]$	$1$
17600.be1	17600ct1	17600.be	17600ct	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11 \)	\( - 2^{17} \cdot 5^{9} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1.708031903$	$1$		$2$	$15360$	$1.076744$	$13718/11$	$0.77106$	$3.66164$	$1$	$[0, -1, 0, 3167, 41537]$	\(y^2=x^3-x^2+3167x+41537\)	440.2.0.?	$[(-8, 125)]$	$1$
17600.bh1	17600bf1	17600.bh	17600bf	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11 \)	\( - 2^{17} \cdot 5^{3} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$0.451357803$	$1$		$4$	$3072$	$0.272025$	$13718/11$	$0.77106$	$2.67381$	$1$	$[0, -1, 0, 127, -383]$	\(y^2=x^3-x^2+127x-383\)	440.2.0.?	$[(17, 80)]$	$1$
17600.cf1	17600cs1	17600.cf	17600cs	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11 \)	\( - 2^{17} \cdot 5^{3} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$0.631844317$	$1$		$4$	$3072$	$0.272025$	$13718/11$	$0.77106$	$2.67381$	$1$	$[0, 1, 0, 127, 383]$	\(y^2=x^3+x^2+127x+383\)	440.2.0.?	$[(-1, 16)]$	$1$
17600.cg1	17600be1	17600.cg	17600be	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11 \)	\( - 2^{17} \cdot 5^{9} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$3.385917244$	$1$		$2$	$15360$	$1.076744$	$13718/11$	$0.77106$	$3.66164$	$1$	$[0, 1, 0, 3167, -41537]$	\(y^2=x^3+x^2+3167x-41537\)	440.2.0.?	$[(633, 16000)]$	$1$
19800.s1	19800s1	19800.s	19800s	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{11} \cdot 3^{6} \cdot 5^{3} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$5760$	$0.474757$	$13718/11$	$0.77106$	$2.88788$	$1$	$[0, 0, 0, 285, 1150]$	\(y^2=x^3+285x+1150\)	440.2.0.?	$[ ]$	$1$
19800.ba1	19800bs1	19800.ba	19800bs	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{11} \cdot 3^{6} \cdot 5^{9} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$6.459640935$	$1$		$0$	$28800$	$1.279476$	$13718/11$	$0.77106$	$3.86395$	$1$	$[0, 0, 0, 7125, 143750]$	\(y^2=x^3+7125x+143750\)	440.2.0.?	$[(3950/7, 382250/7)]$	$1$
24200.i1	24200ba1	24200.i	24200ba	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{11} \cdot 5^{9} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$115200$	$1.929117$	$13718/11$	$0.77106$	$4.55943$	$1$	$[0, -1, 0, 95792, 7054412]$	\(y^2=x^3-x^2+95792x+7054412\)	440.2.0.?	$[ ]$	$1$
24200.x1	24200m1	24200.x	24200m	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{11} \cdot 5^{3} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$3.199399113$	$1$		$0$	$23040$	$1.124399$	$13718/11$	$0.77106$	$3.60277$	$1$	$[0, 1, 0, 3832, 57968]$	\(y^2=x^3+x^2+3832x+57968\)	440.2.0.?	$[(-113/3, 2420/3)]$	$1$
39600.cb1	39600bj1	39600.cb	39600bj	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{11} \cdot 3^{6} \cdot 5^{9} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$3.599475195$	$1$		$0$	$57600$	$1.279476$	$13718/11$	$0.77106$	$3.61096$	$1$	$[0, 0, 0, 7125, -143750]$	\(y^2=x^3+7125x-143750\)	440.2.0.?	$[(175/3, 1250/3)]$	$1$
39600.dh1	39600bi1	39600.dh	39600bi	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{11} \cdot 3^{6} \cdot 5^{3} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$0.921728061$	$1$		$4$	$11520$	$0.474757$	$13718/11$	$0.77106$	$2.69880$	$1$	$[0, 0, 0, 285, -1150]$	\(y^2=x^3+285x-1150\)	440.2.0.?	$[(5, 20)]$	$1$
48400.be1	48400w1	48400.be	48400w	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{11} \cdot 5^{3} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$0.304626184$	$1$		$8$	$46080$	$1.124399$	$13718/11$	$0.77106$	$3.37127$	$1$	$[0, -1, 0, 3832, -57968]$	\(y^2=x^3-x^2+3832x-57968\)	440.2.0.?	$[(48, 484)]$	$1$
48400.cn1	48400t1	48400.cn	48400t	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{11} \cdot 5^{9} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$2.350245025$	$1$		$0$	$230400$	$1.929117$	$13718/11$	$0.77106$	$4.26646$	$1$	$[0, 1, 0, 95792, -7054412]$	\(y^2=x^3+x^2+95792x-7054412\)	440.2.0.?	$[(1557/2, 75625/2)]$	$1$
107800.v1	107800ch1	107800.v	107800ch	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{11} \cdot 5^{3} \cdot 7^{6} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$72576$	$0.898406$	$13718/11$	$0.77106$	$2.90428$	$1$	$[0, -1, 0, 1552, 14092]$	\(y^2=x^3-x^2+1552x+14092\)	440.2.0.?	$[ ]$	$1$
107800.br1	107800ba1	107800.br	107800ba	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{11} \cdot 5^{9} \cdot 7^{6} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$12.97586379$	$1$		$0$	$362880$	$1.703125$	$13718/11$	$0.77106$	$3.73760$	$1$	$[0, 1, 0, 38792, 1839088]$	\(y^2=x^3+x^2+38792x+1839088\)	440.2.0.?	$[(-1019817/151, 443174500/151)]$	$1$
158400.fi1	158400iq1	158400.fi	158400iq	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{17} \cdot 3^{6} \cdot 5^{3} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$2.399195340$	$1$		$2$	$92160$	$0.821331$	$13718/11$	$0.77106$	$2.73367$	$1$	$[0, 0, 0, 1140, 9200]$	\(y^2=x^3+1140x+9200\)	440.2.0.?	$[(20, 200)]$	$1$
158400.ga1	158400t1	158400.ga	158400t	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{17} \cdot 3^{6} \cdot 5^{9} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$3.420792078$	$1$		$2$	$460800$	$1.626049$	$13718/11$	$0.77106$	$3.54022$	$1$	$[0, 0, 0, 28500, -1150000]$	\(y^2=x^3+28500x-1150000\)	440.2.0.?	$[(74, 1168)]$	$1$
158400.jg1	158400jd1	158400.jg	158400jd	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{17} \cdot 3^{6} \cdot 5^{9} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$2.952588269$	$1$		$2$	$460800$	$1.626049$	$13718/11$	$0.77106$	$3.54022$	$1$	$[0, 0, 0, 28500, 1150000]$	\(y^2=x^3+28500x+1150000\)	440.2.0.?	$[(1350, 50000)]$	$1$
158400.jt1	158400bf1	158400.jt	158400bf	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{17} \cdot 3^{6} \cdot 5^{3} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$3.389708680$	$1$		$2$	$92160$	$0.821331$	$13718/11$	$0.77106$	$2.73367$	$1$	$[0, 0, 0, 1140, -9200]$	\(y^2=x^3+1140x-9200\)	440.2.0.?	$[(45, 365)]$	$1$
193600.dd1	193600bi1	193600.dd	193600bi	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{17} \cdot 5^{9} \cdot 11^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$5.441545611$	$1$		$6$	$1843200$	$2.275692$	$13718/11$	$0.77106$	$4.12224$	$1$	$[0, -1, 0, 383167, -56818463]$	\(y^2=x^3-x^2+383167x-56818463\)	440.2.0.?	$[(1467, 60500), (741, 25168)]$	$1$
193600.de1	193600gq1	193600.de	193600gq	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{17} \cdot 5^{3} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$0.973302312$	$1$		$2$	$368640$	$1.470972$	$13718/11$	$0.77106$	$3.32899$	$1$	$[0, -1, 0, 15327, 448417]$	\(y^2=x^3-x^2+15327x+448417\)	440.2.0.?	$[(147, 2420)]$	$1$
193600.gm1	193600id1	193600.gm	193600id	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{17} \cdot 5^{9} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1.477079366$	$1$		$0$	$1843200$	$2.275692$	$13718/11$	$0.77106$	$4.12224$	$1$	$[0, 1, 0, 383167, 56818463]$	\(y^2=x^3+x^2+383167x+56818463\)	440.2.0.?	$[(547/3, 242000/3)]$	$1$
193600.gn1	193600dj1	193600.gn	193600dj	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{17} \cdot 5^{3} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$368640$	$1.470972$	$13718/11$	$0.77106$	$3.32899$	$1$	$[0, 1, 0, 15327, -448417]$	\(y^2=x^3+x^2+15327x-448417\)	440.2.0.?	$[ ]$	$1$
215600.cq1	215600gk1	215600.cq	215600gk	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{11} \cdot 5^{9} \cdot 7^{6} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$725760$	$1.703125$	$13718/11$	$0.77106$	$3.52665$	$1$	$[0, -1, 0, 38792, -1839088]$	\(y^2=x^3-x^2+38792x-1839088\)	440.2.0.?	$[ ]$	$1$
215600.gb1	215600hh1	215600.gb	215600hh	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{11} \cdot 5^{3} \cdot 7^{6} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$145152$	$0.898406$	$13718/11$	$0.77106$	$2.74036$	$1$	$[0, 1, 0, 1552, -14092]$	\(y^2=x^3+x^2+1552x-14092\)	440.2.0.?	$[ ]$	$1$
217800.cs1	217800dw1	217800.cs	217800dw	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 5^{9} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$3456000$	$2.478424$	$13718/11$	$0.77106$	$4.28066$	$1$	$[0, 0, 0, 862125, -191331250]$	\(y^2=x^3+862125x-191331250\)	440.2.0.?	$[ ]$	$1$
217800.eq1	217800u1	217800.eq	217800u	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 5^{3} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$4.043134176$	$1$		$0$	$691200$	$1.673704$	$13718/11$	$0.77106$	$3.49502$	$1$	$[0, 0, 0, 34485, -1530650]$	\(y^2=x^3+34485x-1530650\)	440.2.0.?	$[(2145/2, 104665/2)]$	$1$
371800.s1	371800s1	371800.s	371800s	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 2^{11} \cdot 5^{9} \cdot 11 \cdot 13^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$2257920$	$2.012646$	$13718/11$	$0.77106$	$3.66641$	$1$	$[0, -1, 0, 133792, -11741588]$	\(y^2=x^3-x^2+133792x-11741588\)	440.2.0.?	$[ ]$	$1$
371800.cb1	371800cb1	371800.cb	371800cb	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 2^{11} \cdot 5^{3} \cdot 11 \cdot 13^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$5.865916408$	$1$		$0$	$451584$	$1.207926$	$13718/11$	$0.77106$	$2.91352$	$1$	$[0, 1, 0, 5352, -91792]$	\(y^2=x^3+x^2+5352x-91792\)	440.2.0.?	$[(10117/2, 1018225/2)]$	$1$
435600.hy1	435600hy1	435600.hy	435600hy	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 5^{3} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$1382400$	$1.673704$	$13718/11$	$0.77106$	$3.30845$	$1$	$[0, 0, 0, 34485, 1530650]$	\(y^2=x^3+34485x+1530650\)	440.2.0.?	$[ ]$	$1$
435600.mp1	435600mp1	435600.mp	435600mp	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 5^{9} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$6912000$	$2.478424$	$13718/11$	$0.77106$	$4.05215$	$1$	$[0, 0, 0, 862125, 191331250]$	\(y^2=x^3+862125x+191331250\)	440.2.0.?	$[ ]$	$1$

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