Elliptic curve search results

Results (33 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	Manin constant
664.a1	664a1	664.a	664a	$1$	$1$	\( 2^{3} \cdot 83 \)	\( - 2^{8} \cdot 83 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$0.096676050$	$1$		$26$	$160$	$-0.466387$	$-148176/83$	$0.66708$	$2.78971$	$[0, 0, 0, -7, 10]$	\(y^2=x^3-7x+10\)	166.2.0.?	$[(1, 2), (3, 4)]$	$1$
1328.e1	1328c1	1328.e	1328c	$1$	$1$	\( 2^{4} \cdot 83 \)	\( - 2^{8} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$320$	$-0.466387$	$-148176/83$	$0.66708$	$2.52082$	$[0, 0, 0, -7, -10]$	\(y^2=x^3-7x-10\)	166.2.0.?	$[ ]$	$1$
5312.b1	5312l1	5312.b	5312l	$1$	$1$	\( 2^{6} \cdot 83 \)	\( - 2^{14} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$2560$	$-0.119813$	$-148176/83$	$0.66708$	$2.59826$	$[0, 0, 0, -28, -80]$	\(y^2=x^3-28x-80\)	166.2.0.?	$[ ]$	$1$
5312.p1	5312g1	5312.p	5312g	$1$	$1$	\( 2^{6} \cdot 83 \)	\( - 2^{14} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$2560$	$-0.119813$	$-148176/83$	$0.66708$	$2.59826$	$[0, 0, 0, -28, 80]$	\(y^2=x^3-28x+80\)	166.2.0.?	$[ ]$	$1$
5976.f1	5976e1	5976.f	5976e	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 83 \)	\( - 2^{8} \cdot 3^{6} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$2.705552430$	$1$		$2$	$2240$	$0.082919$	$-148176/83$	$0.66708$	$2.84285$	$[0, 0, 0, -63, -270]$	\(y^2=x^3-63x-270\)	166.2.0.?	$[(10, 10)]$	$1$
11952.s1	11952c1	11952.s	11952c	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 83 \)	\( - 2^{8} \cdot 3^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$4480$	$0.082919$	$-148176/83$	$0.66708$	$2.63296$	$[0, 0, 0, -63, 270]$	\(y^2=x^3-63x+270\)	166.2.0.?	$[ ]$	$1$
16600.o1	16600h1	16600.o	16600h	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 83 \)	\( - 2^{8} \cdot 5^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$12800$	$0.338332$	$-148176/83$	$0.66708$	$2.85937$	$[0, 0, 0, -175, 1250]$	\(y^2=x^3-175x+1250\)	166.2.0.?	$[ ]$	$1$
32536.h1	32536h1	32536.h	32536h	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 83 \)	\( - 2^{8} \cdot 7^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$4$	$2$	$0$	$37440$	$0.506568$	$-148176/83$	$0.66708$	$2.86848$	$[0, 0, 0, -343, -3430]$	\(y^2=x^3-343x-3430\)	166.2.0.?	$[ ]$	$1$
33200.a1	33200c1	33200.a	33200c	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 83 \)	\( - 2^{8} \cdot 5^{6} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1.200947787$	$1$		$2$	$25600$	$0.338332$	$-148176/83$	$0.66708$	$2.66898$	$[0, 0, 0, -175, -1250]$	\(y^2=x^3-175x-1250\)	166.2.0.?	$[(25, 100)]$	$1$
47808.a1	47808s1	47808.a	47808s	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{14} \cdot 3^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$35840$	$0.429492$	$-148176/83$	$0.66708$	$2.68019$	$[0, 0, 0, -252, -2160]$	\(y^2=x^3-252x-2160\)	166.2.0.?	$[ ]$	$1$
47808.d1	47808cf1	47808.d	47808cf	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{14} \cdot 3^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$35840$	$0.429492$	$-148176/83$	$0.66708$	$2.68019$	$[0, 0, 0, -252, 2160]$	\(y^2=x^3-252x+2160\)	166.2.0.?	$[ ]$	$1$
55112.a1	55112d1	55112.a	55112d	$1$	$1$	\( 2^{3} \cdot 83^{2} \)	\( - 2^{8} \cdot 83^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$1102080$	$1.743032$	$-148176/83$	$0.66708$	$4.08911$	$[0, 0, 0, -48223, -5717870]$	\(y^2=x^3-48223x-5717870\)	166.2.0.?	$[ ]$	$1$
65072.a1	65072c1	65072.a	65072c	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 83 \)	\( - 2^{8} \cdot 7^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$74880$	$0.506568$	$-148176/83$	$0.66708$	$2.68908$	$[0, 0, 0, -343, 3430]$	\(y^2=x^3-343x+3430\)	166.2.0.?	$[ ]$	$1$
80344.a1	80344d1	80344.a	80344d	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 83 \)	\( - 2^{8} \cdot 11^{6} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$4.478119445$	$1$		$2$	$216000$	$0.732560$	$-148176/83$	$0.66708$	$2.87900$	$[0, 0, 0, -847, -13310]$	\(y^2=x^3-847x-13310\)	166.2.0.?	$[(70, 520)]$	$1$
110224.m1	110224e1	110224.m	110224e	$1$	$1$	\( 2^{4} \cdot 83^{2} \)	\( - 2^{8} \cdot 83^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$9$	$3$	$0$	$2204160$	$1.743032$	$-148176/83$	$0.66708$	$3.84499$	$[0, 0, 0, -48223, 5717870]$	\(y^2=x^3-48223x+5717870\)	166.2.0.?	$[ ]$	$1$
112216.a1	112216d1	112216.a	112216d	$1$	$1$	\( 2^{3} \cdot 13^{2} \cdot 83 \)	\( - 2^{8} \cdot 13^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$345600$	$0.816088$	$-148176/83$	$0.66708$	$2.88248$	$[0, 0, 0, -1183, 21970]$	\(y^2=x^3-1183x+21970\)	166.2.0.?	$[ ]$	$1$
132800.n1	132800ci1	132800.n	132800ci	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 83 \)	\( - 2^{14} \cdot 5^{6} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1.173117153$	$1$		$2$	$204800$	$0.684905$	$-148176/83$	$0.66708$	$2.70788$	$[0, 0, 0, -700, 10000]$	\(y^2=x^3-700x+10000\)	166.2.0.?	$[(0, 100)]$	$1$
132800.di1	132800bv1	132800.di	132800bv	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 83 \)	\( - 2^{14} \cdot 5^{6} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$4.974646600$	$1$		$0$	$204800$	$0.684905$	$-148176/83$	$0.66708$	$2.70788$	$[0, 0, 0, -700, -10000]$	\(y^2=x^3-700x-10000\)	166.2.0.?	$[(1300/3, 46000/3)]$	$1$
149400.cn1	149400ba1	149400.cn	149400ba	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 83 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$3.435183678$	$1$		$2$	$179200$	$0.887638$	$-148176/83$	$0.66708$	$2.88530$	$[0, 0, 0, -1575, -33750]$	\(y^2=x^3-1575x-33750\)	166.2.0.?	$[(49, 82)]$	$1$
160688.p1	160688p1	160688.p	160688p	$1$	$1$	\( 2^{4} \cdot 11^{2} \cdot 83 \)	\( - 2^{8} \cdot 11^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$432000$	$0.732560$	$-148176/83$	$0.66708$	$2.71253$	$[0, 0, 0, -847, 13310]$	\(y^2=x^3-847x+13310\)	166.2.0.?	$[ ]$	$1$
191896.h1	191896e1	191896.h	191896e	$1$	$1$	\( 2^{3} \cdot 17^{2} \cdot 83 \)	\( - 2^{8} \cdot 17^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$4$	$2$	$0$	$806400$	$0.950220$	$-148176/83$	$0.66708$	$2.88766$	$[0, 0, 0, -2023, 49130]$	\(y^2=x^3-2023x+49130\)	166.2.0.?	$[ ]$	$1$
224432.s1	224432s1	224432.s	224432s	$1$	$1$	\( 2^{4} \cdot 13^{2} \cdot 83 \)	\( - 2^{8} \cdot 13^{6} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$9.751950259$	$1$		$0$	$691200$	$0.816088$	$-148176/83$	$0.66708$	$2.72032$	$[0, 0, 0, -1183, -21970]$	\(y^2=x^3-1183x-21970\)	166.2.0.?	$[(345085/69, 171666820/69)]$	$1$
239704.k1	239704k1	239704.k	239704k	$1$	$1$	\( 2^{3} \cdot 19^{2} \cdot 83 \)	\( - 2^{8} \cdot 19^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$1105920$	$1.005833$	$-148176/83$	$0.66708$	$2.88968$	$[0, 0, 0, -2527, -68590]$	\(y^2=x^3-2527x-68590\)	166.2.0.?	$[ ]$	$1$
260288.a1	260288a1	260288.a	260288a	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 83 \)	\( - 2^{14} \cdot 7^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$599040$	$0.853142$	$-148176/83$	$0.66708$	$2.72365$	$[0, 0, 0, -1372, -27440]$	\(y^2=x^3-1372x-27440\)	166.2.0.?	$[ ]$	$1$
260288.cm1	260288cm1	260288.cm	260288cm	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 83 \)	\( - 2^{14} \cdot 7^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$599040$	$0.853142$	$-148176/83$	$0.66708$	$2.72365$	$[0, 0, 0, -1372, 27440]$	\(y^2=x^3-1372x+27440\)	166.2.0.?	$[ ]$	$1$
292824.b1	292824b1	292824.b	292824b	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 83 \)	\( - 2^{8} \cdot 3^{6} \cdot 7^{6} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$4.062880121$	$1$		$2$	$524160$	$1.055874$	$-148176/83$	$0.66708$	$2.89144$	$[0, 0, 0, -3087, 92610]$	\(y^2=x^3-3087x+92610\)	166.2.0.?	$[(22, 188)]$	$1$
298800.b1	298800b1	298800.b	298800b	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 83 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1.417763808$	$1$		$2$	$358400$	$0.887638$	$-148176/83$	$0.66708$	$2.72667$	$[0, 0, 0, -1575, 33750]$	\(y^2=x^3-1575x+33750\)	166.2.0.?	$[(25, 100)]$	$1$
351256.b1	351256b1	351256.b	351256b	$1$	$1$	\( 2^{3} \cdot 23^{2} \cdot 83 \)	\( - 2^{8} \cdot 23^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$2027520$	$1.101360$	$-148176/83$	$0.66708$	$2.89298$	$[0, 0, 0, -3703, -121670]$	\(y^2=x^3-3703x-121670\)	166.2.0.?	$[ ]$	$1$
383792.b1	383792b1	383792.b	383792b	$1$	$1$	\( 2^{4} \cdot 17^{2} \cdot 83 \)	\( - 2^{8} \cdot 17^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$1612800$	$0.950220$	$-148176/83$	$0.66708$	$2.73199$	$[0, 0, 0, -2023, -49130]$	\(y^2=x^3-2023x-49130\)	166.2.0.?	$[ ]$	$1$
440896.a1	440896a1	440896.a	440896a	$1$	$1$	\( 2^{6} \cdot 83^{2} \)	\( - 2^{14} \cdot 83^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1.589835082$	$1$		$2$	$17633280$	$2.089607$	$-148176/83$	$0.66708$	$3.75486$	$[0, 0, 0, -192892, 45742960]$	\(y^2=x^3-192892x+45742960\)	166.2.0.?	$[(2324, 110224)]$	$1$
440896.bh1	440896bh1	440896.bh	440896bh	$1$	$1$	\( 2^{6} \cdot 83^{2} \)	\( - 2^{14} \cdot 83^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$17633280$	$2.089607$	$-148176/83$	$0.66708$	$3.75486$	$[0, 0, 0, -192892, -45742960]$	\(y^2=x^3-192892x-45742960\)	166.2.0.?	$[ ]$	$1$
479408.a1	479408a1	479408.a	479408a	$1$	$1$	\( 2^{4} \cdot 19^{2} \cdot 83 \)	\( - 2^{8} \cdot 19^{6} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1.356327878$	$1$		$2$	$2211840$	$1.005833$	$-148176/83$	$0.66708$	$2.73655$	$[0, 0, 0, -2527, 68590]$	\(y^2=x^3-2527x+68590\)	166.2.0.?	$[(133, 1444)]$	$1$
496008.a1	496008a1	496008.a	496008a	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 83^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 83^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$6.627037126$	$1$		$8$	$15429120$	$2.292339$	$-148176/83$	$0.66708$	$3.90664$	$[0, 0, 0, -434007, 154382490]$	\(y^2=x^3-434007x+154382490\)	166.2.0.?	$[(-83, 13778), (6142/3, 358228/3)]$	$1$

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