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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
858.g1	858g1	858.g	858g	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 13 \)	\( - 2^{9} \cdot 3^{2} \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1144$	$2$	$0$	$0.052059997$	$1$		$12$	$144$	$-0.128775$	$-10779215329/658944$	$1.04485$	$3.43489$	$[1, 1, 1, -46, 107]$	\(y^2+xy+y=x^3+x^2-46x+107\)	1144.2.0.?	$[(5, 3)]$
2574.i1	2574e1	2574.i	2574e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11 \cdot 13 \)	\( - 2^{9} \cdot 3^{8} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$1152$	$0.420531$	$-10779215329/658944$	$1.04485$	$3.79373$	$[1, -1, 0, -414, -3308]$	\(y^2+xy=x^3-x^2-414x-3308\)	1144.2.0.?	$[ ]$
6864.u1	6864t1	6864.u	6864t	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \)	\( - 2^{21} \cdot 3^{2} \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1.360370366$	$1$		$2$	$3456$	$0.564372$	$-10779215329/658944$	$1.04485$	$3.56791$	$[0, 1, 0, -736, -8332]$	\(y^2=x^3+x^2-736x-8332\)	1144.2.0.?	$[(58, 384)]$
9438.d1	9438h1	9438.d	9438h	$1$	$1$	\( 2 \cdot 3 \cdot 11^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{2} \cdot 11^{7} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$2.690879009$	$1$		$2$	$17280$	$1.070173$	$-10779215329/658944$	$1.04485$	$4.10693$	$[1, 1, 0, -5568, -170496]$	\(y^2+xy=x^3+x^2-5568x-170496\)	1144.2.0.?	$[(237, 3330)]$
11154.i1	11154b1	11154.i	11154b	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{2} \cdot 11 \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1.053863881$	$1$		$4$	$24192$	$1.153700$	$-10779215329/658944$	$1.04485$	$4.14086$	$[1, 1, 0, -7777, 274357]$	\(y^2+xy=x^3+x^2-7777x+274357\)	1144.2.0.?	$[(31, 238)]$
20592.bj1	20592bm1	20592.bj	20592bm	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 \)	\( - 2^{21} \cdot 3^{8} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$27648$	$1.113678$	$-10779215329/658944$	$1.04485$	$3.83691$	$[0, 0, 0, -6627, 218338]$	\(y^2=x^3-6627x+218338\)	1144.2.0.?	$[ ]$
21450.bj1	21450be1	21450.bj	21450be	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{9} \cdot 3^{2} \cdot 5^{6} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$20160$	$0.675944$	$-10779215329/658944$	$1.04485$	$3.29453$	$[1, 0, 1, -1151, 15698]$	\(y^2+xy+y=x^3-1151x+15698\)	1144.2.0.?	$[ ]$
27456.v1	27456bv1	27456.v	27456bv	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \)	\( - 2^{27} \cdot 3^{2} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$27648$	$0.910946$	$-10779215329/658944$	$1.04485$	$3.49088$	$[0, -1, 0, -2945, -63711]$	\(y^2=x^3-x^2-2945x-63711\)	1144.2.0.?	$[ ]$
27456.ca1	27456bb1	27456.ca	27456bb	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \)	\( - 2^{27} \cdot 3^{2} \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$0.778901291$	$1$		$4$	$27648$	$0.910946$	$-10779215329/658944$	$1.04485$	$3.49088$	$[0, 1, 0, -2945, 63711]$	\(y^2=x^3+x^2-2945x+63711\)	1144.2.0.?	$[(139, 1536)]$
28314.ca1	28314cd1	28314.ca	28314cd	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{8} \cdot 11^{7} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$0.285329731$	$1$		$6$	$138240$	$1.619478$	$-10779215329/658944$	$1.04485$	$4.30981$	$[1, -1, 1, -50117, 4553277]$	\(y^2+xy+y=x^3-x^2-50117x+4553277\)	1144.2.0.?	$[(311, 4200)]$
33462.cg1	33462cy1	33462.cg	33462cy	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{8} \cdot 11 \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$193536$	$1.703007$	$-10779215329/658944$	$1.04485$	$4.33691$	$[1, -1, 1, -69998, -7477635]$	\(y^2+xy+y=x^3-x^2-69998x-7477635\)	1144.2.0.?	$[ ]$
42042.dk1	42042dp1	42042.dk	42042dp	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{9} \cdot 3^{2} \cdot 7^{6} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$47520$	$0.844180$	$-10779215329/658944$	$1.04485$	$3.27591$	$[1, 0, 0, -2255, -43527]$	\(y^2+xy=x^3-2255x-43527\)	1144.2.0.?	$[ ]$
64350.ew1	64350dx1	64350.ew	64350dx	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{9} \cdot 3^{8} \cdot 5^{6} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$161280$	$1.225250$	$-10779215329/658944$	$1.04485$	$3.56298$	$[1, -1, 1, -10355, -423853]$	\(y^2+xy+y=x^3-x^2-10355x-423853\)	1144.2.0.?	$[ ]$
75504.bt1	75504cw1	75504.bt	75504cw	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 13 \)	\( - 2^{21} \cdot 3^{2} \cdot 11^{7} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$0.963866866$	$1$		$4$	$414720$	$1.763319$	$-10779215329/658944$	$1.04485$	$4.08713$	$[0, 1, 0, -89096, 10733556]$	\(y^2=x^3+x^2-89096x+10733556\)	1144.2.0.?	$[(172, 726)]$
82368.bp1	82368cg1	82368.bp	82368cg	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 13 \)	\( - 2^{27} \cdot 3^{8} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$221184$	$1.460253$	$-10779215329/658944$	$1.04485$	$3.73441$	$[0, 0, 0, -26508, -1746704]$	\(y^2=x^3-26508x-1746704\)	1144.2.0.?	$[ ]$
82368.ce1	82368ed1	82368.ce	82368ed	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 13 \)	\( - 2^{27} \cdot 3^{8} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$221184$	$1.460253$	$-10779215329/658944$	$1.04485$	$3.73441$	$[0, 0, 0, -26508, 1746704]$	\(y^2=x^3-26508x+1746704\)	1144.2.0.?	$[ ]$
89232.ce1	89232ck1	89232.ce	89232ck	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11 \cdot 13^{2} \)	\( - 2^{21} \cdot 3^{2} \cdot 11 \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$580608$	$1.846848$	$-10779215329/658944$	$1.04485$	$4.11517$	$[0, 1, 0, -124440, -17807724]$	\(y^2=x^3+x^2-124440x-17807724\)	1144.2.0.?	$[ ]$
122694.cj1	122694cg1	122694.cj	122694cg	$1$	$1$	\( 2 \cdot 3 \cdot 11^{2} \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{2} \cdot 11^{7} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$0.399708766$	$1$		$8$	$2903040$	$2.352646$	$-10779215329/658944$	$1.04485$	$4.52132$	$[1, 1, 1, -941080, -369874471]$	\(y^2+xy+y=x^3+x^2-941080x-369874471\)	1144.2.0.?	$[(1799, 60447)]$
126126.x1	126126cf1	126126.x	126126cf	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{9} \cdot 3^{8} \cdot 7^{6} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$380160$	$1.393486$	$-10779215329/658944$	$1.04485$	$3.53072$	$[1, -1, 0, -20295, 1175229]$	\(y^2+xy=x^3-x^2-20295x+1175229\)	1144.2.0.?	$[ ]$
171600.v1	171600dv1	171600.v	171600dv	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{21} \cdot 3^{2} \cdot 5^{6} \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$6.390411171$	$1$		$0$	$483840$	$1.369091$	$-10779215329/658944$	$1.04485$	$3.41624$	$[0, -1, 0, -18408, -1004688]$	\(y^2=x^3-x^2-18408x-1004688\)	1144.2.0.?	$[(717/2, 9543/2)]$
226512.ee1	226512cb1	226512.ee	226512cb	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{21} \cdot 3^{8} \cdot 11^{7} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$4.519478637$	$1$		$0$	$3317760$	$2.312626$	$-10779215329/658944$	$1.04485$	$4.25756$	$[0, 0, 0, -801867, -290607878]$	\(y^2=x^3-801867x-290607878\)	1144.2.0.?	$[(14509/3, 1378432/3)]$
235950.gz1	235950gz1	235950.gz	235950gz	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{2} \cdot 5^{6} \cdot 11^{7} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$2419200$	$1.874891$	$-10779215329/658944$	$1.04485$	$3.81892$	$[1, 0, 0, -139213, -21033583]$	\(y^2+xy=x^3-139213x-21033583\)	1144.2.0.?	$[ ]$
247962.bh1	247962bh1	247962.bh	247962bh	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \)	\( - 2^{9} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$0.810130218$	$1$		$4$	$709632$	$1.287832$	$-10779215329/658944$	$1.04485$	$3.23649$	$[1, 0, 0, -13300, 619664]$	\(y^2+xy=x^3-13300x+619664\)	1144.2.0.?	$[(-10, 872)]$
267696.bs1	267696bs1	267696.bs	267696bs	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13^{2} \)	\( - 2^{21} \cdot 3^{8} \cdot 11 \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1.459893046$	$1$		$4$	$4644864$	$2.396152$	$-10779215329/658944$	$1.04485$	$4.28085$	$[0, 0, 0, -1119963, 479688586]$	\(y^2=x^3-1119963x+479688586\)	1144.2.0.?	$[(1053, 21632)]$
278850.hl1	278850hl1	278850.hl	278850hl	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{2} \cdot 5^{6} \cdot 11 \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$0.539675065$	$1$		$4$	$3386880$	$1.958418$	$-10779215329/658944$	$1.04485$	$3.84798$	$[1, 0, 0, -194438, 34683492]$	\(y^2+xy=x^3-194438x+34683492\)	1144.2.0.?	$[(196, 1930)]$
302016.co1	302016co1	302016.co	302016co	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \)	\( - 2^{27} \cdot 3^{2} \cdot 11^{7} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$2.320817422$	$1$		$2$	$3317760$	$2.109894$	$-10779215329/658944$	$1.04485$	$3.96770$	$[0, -1, 0, -356385, 86224833]$	\(y^2=x^3-x^2-356385x+86224833\)	1144.2.0.?	$[(279, 2904)]$
302016.gs1	302016gs1	302016.gs	302016gs	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \)	\( - 2^{27} \cdot 3^{2} \cdot 11^{7} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$8.381325575$	$1$		$0$	$3317760$	$2.109894$	$-10779215329/658944$	$1.04485$	$3.96770$	$[0, 1, 0, -356385, -86224833]$	\(y^2=x^3+x^2-356385x-86224833\)	1144.2.0.?	$[(142746/5, 53628531/5)]$
309738.y1	309738y1	309738.y	309738y	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} \)	\( - 2^{9} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 19^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$6.768923942$	$1$		$2$	$1026432$	$1.343445$	$-10779215329/658944$	$1.04485$	$3.23233$	$[1, 0, 1, -16614, -868040]$	\(y^2+xy+y=x^3-16614x-868040\)	1144.2.0.?	$[(28568, 4814271)]$
336336.de1	336336de1	336336.de	336336de	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{21} \cdot 3^{2} \cdot 7^{6} \cdot 11 \cdot 13 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$3.382174674$	$1$		$12$	$1140480$	$1.537327$	$-10779215329/658944$	$1.04485$	$3.39423$	$[0, -1, 0, -36080, 2785728]$	\(y^2=x^3-x^2-36080x+2785728\)	1144.2.0.?	$[(104, 384), (-152, 2176)]$
356928.bh1	356928bh1	356928.bh	356928bh	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \)	\( - 2^{27} \cdot 3^{2} \cdot 11 \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$4644864$	$2.193420$	$-10779215329/658944$	$1.04485$	$3.99425$	$[0, -1, 0, -497761, -141964031]$	\(y^2=x^3-x^2-497761x-141964031\)	1144.2.0.?	$[ ]$
356928.ga1	356928ga1	356928.ga	356928ga	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \)	\( - 2^{27} \cdot 3^{2} \cdot 11 \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$2.362388181$	$1$		$2$	$4644864$	$2.193420$	$-10779215329/658944$	$1.04485$	$3.99425$	$[0, 1, 0, -497761, 141964031]$	\(y^2=x^3+x^2-497761x+141964031\)	1144.2.0.?	$[(-295, 16224)]$
368082.bf1	368082bf1	368082.bf	368082bf	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{8} \cdot 11^{7} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1.229753360$	$1$		$4$	$23224320$	$2.901955$	$-10779215329/658944$	$1.04485$	$4.64808$	$[1, -1, 0, -8469720, 9978140992]$	\(y^2+xy=x^3-x^2-8469720x+9978140992\)	1144.2.0.?	$[(179, 91931)]$
453882.cd1	453882cd1	453882.cd	453882cd	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 23^{2} \)	\( - 2^{9} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 23^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$4.138424982$	$1$		$2$	$1821600$	$1.438972$	$-10779215329/658944$	$1.04485$	$3.22552$	$[1, 1, 1, -24345, -1547481]$	\(y^2+xy+y=x^3+x^2-24345x-1547481\)	1144.2.0.?	$[(343, 5360)]$
462462.el1	462462el1	462462.el	462462el	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{2} \cdot 7^{6} \cdot 11^{7} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$5702400$	$2.043129$	$-10779215329/658944$	$1.04485$	$3.77667$	$[1, 0, 1, -272858, 57661580]$	\(y^2+xy+y=x^3-272858x+57661580\)	1144.2.0.?	$[ ]$

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