Elliptic curve search results

Results (26 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
1098.d1	1098a1	1098.d	1098a	$1$	$1$	\( 2 \cdot 3^{2} \cdot 61 \)	\( - 2 \cdot 3^{9} \cdot 61 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$0.409944981$	$1$		$4$	$336$	$-0.023153$	$-1860867/122$	$0.79539$	$3.48958$	$[1, -1, 0, -69, 251]$	\(y^2+xy=x^3-x^2-69x+251\)	1464.2.0.?	$[(1, 13)]$
1098.j1	1098g1	1098.j	1098g	$1$	$1$	\( 2 \cdot 3^{2} \cdot 61 \)	\( - 2 \cdot 3^{3} \cdot 61 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$1$	$1$		$0$	$112$	$-0.572459$	$-1860867/122$	$0.79539$	$2.54808$	$[1, -1, 1, -8, -7]$	\(y^2+xy+y=x^3-x^2-8x-7\)	1464.2.0.?	$[]$
8784.d1	8784j1	8784.d	8784j	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 61 \)	\( - 2^{13} \cdot 3^{3} \cdot 61 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$0.285716114$	$1$		$18$	$2688$	$0.120688$	$-1860867/122$	$0.79539$	$2.88056$	$[0, 0, 0, -123, 554]$	\(y^2=x^3-123x+554\)	1464.2.0.?	$[(5, 8), (7, 6)]$
8784.p1	8784i1	8784.p	8784i	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 61 \)	\( - 2^{13} \cdot 3^{9} \cdot 61 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$1$	$1$		$0$	$8064$	$0.669994$	$-1860867/122$	$0.79539$	$3.60646$	$[0, 0, 0, -1107, -14958]$	\(y^2=x^3-1107x-14958\)	1464.2.0.?	$[]$
27450.e1	27450c1	27450.e	27450c	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 61 \)	\( - 2 \cdot 3^{3} \cdot 5^{6} \cdot 61 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$2.879692865$	$1$		$2$	$15680$	$0.232260$	$-1860867/122$	$0.79539$	$2.69041$	$[1, -1, 0, -192, -1034]$	\(y^2+xy=x^3-x^2-192x-1034\)	1464.2.0.?	$[(23, 68)]$
27450.be1	27450bf1	27450.be	27450bf	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 61 \)	\( - 2 \cdot 3^{9} \cdot 5^{6} \cdot 61 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$1$	$1$		$0$	$47040$	$0.781566$	$-1860867/122$	$0.79539$	$3.33538$	$[1, -1, 1, -1730, 29647]$	\(y^2+xy+y=x^3-x^2-1730x+29647\)	1464.2.0.?	$[]$
35136.ba1	35136bo1	35136.ba	35136bo	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 61 \)	\( - 2^{19} \cdot 3^{9} \cdot 61 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$2.931101254$	$1$		$2$	$64512$	$1.016567$	$-1860867/122$	$0.79539$	$3.52614$	$[0, 0, 0, -4428, -119664]$	\(y^2=x^3-4428x-119664\)	1464.2.0.?	$[(156, 1728)]$
35136.bf1	35136h1	35136.bf	35136h	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 61 \)	\( - 2^{19} \cdot 3^{9} \cdot 61 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$1$	$1$		$0$	$64512$	$1.016567$	$-1860867/122$	$0.79539$	$3.52614$	$[0, 0, 0, -4428, 119664]$	\(y^2=x^3-4428x+119664\)	1464.2.0.?	$[]$
35136.bq1	35136bn1	35136.bq	35136bn	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 61 \)	\( - 2^{19} \cdot 3^{3} \cdot 61 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$0.483191295$	$1$		$4$	$21504$	$0.467262$	$-1860867/122$	$0.79539$	$2.89638$	$[0, 0, 0, -492, 4432]$	\(y^2=x^3-492x+4432\)	1464.2.0.?	$[(26, 96)]$
35136.cf1	35136g1	35136.cf	35136g	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 61 \)	\( - 2^{19} \cdot 3^{3} \cdot 61 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$1$	$1$		$0$	$21504$	$0.467262$	$-1860867/122$	$0.79539$	$2.89638$	$[0, 0, 0, -492, -4432]$	\(y^2=x^3-492x-4432\)	1464.2.0.?	$[]$
53802.n1	53802g1	53802.n	53802g	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 61 \)	\( - 2 \cdot 3^{9} \cdot 7^{6} \cdot 61 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$3.071454433$	$1$		$2$	$96768$	$0.949802$	$-1860867/122$	$0.79539$	$3.31466$	$[1, -1, 0, -3390, -79318]$	\(y^2+xy=x^3-x^2-3390x-79318\)	1464.2.0.?	$[(751, 20131)]$
53802.cd1	53802bm1	53802.cd	53802bm	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 61 \)	\( - 2 \cdot 3^{3} \cdot 7^{6} \cdot 61 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$1$	$1$		$0$	$32256$	$0.400496$	$-1860867/122$	$0.79539$	$2.70954$	$[1, -1, 1, -377, 3063]$	\(y^2+xy+y=x^3-x^2-377x+3063\)	1464.2.0.?	$[]$
66978.d1	66978a1	66978.d	66978a	$1$	$1$	\( 2 \cdot 3^{2} \cdot 61^{2} \)	\( - 2 \cdot 3^{3} \cdot 61^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$0.420193779$	$1$		$6$	$416640$	$1.482979$	$-1860867/122$	$0.79539$	$3.82510$	$[1, -1, 0, -28605, -1957653]$	\(y^2+xy=x^3-x^2-28605x-1957653\)	1464.2.0.?	$[(351, 5406)]$
66978.n1	66978j1	66978.n	66978j	$1$	$1$	\( 2 \cdot 3^{2} \cdot 61^{2} \)	\( - 2 \cdot 3^{9} \cdot 61^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$1$	$1$		$0$	$1249920$	$2.032284$	$-1860867/122$	$0.79539$	$4.41830$	$[1, -1, 1, -257447, 53114077]$	\(y^2+xy+y=x^3-x^2-257447x+53114077\)	1464.2.0.?	$[]$
132858.o1	132858cn1	132858.o	132858cn	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 61 \)	\( - 2 \cdot 3^{3} \cdot 11^{6} \cdot 61 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$0.811810910$	$1$		$4$	$120960$	$0.626489$	$-1860867/122$	$0.79539$	$2.73179$	$[1, -1, 0, -930, 11754]$	\(y^2+xy=x^3-x^2-930x+11754\)	1464.2.0.?	$[(25, 48)]$
132858.ce1	132858bf1	132858.ce	132858bf	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 61 \)	\( - 2 \cdot 3^{9} \cdot 11^{6} \cdot 61 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$1$	$4$	$2$	$0$	$362880$	$1.175795$	$-1860867/122$	$0.79539$	$3.29055$	$[1, -1, 1, -8372, -308987]$	\(y^2+xy+y=x^3-x^2-8372x-308987\)	1464.2.0.?	$[]$
185562.h1	185562bm1	185562.h	185562bm	$1$	$1$	\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 61 \)	\( - 2 \cdot 3^{3} \cdot 13^{6} \cdot 61 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$2.470128937$	$1$		$0$	$215040$	$0.710015$	$-1860867/122$	$0.79539$	$2.73918$	$[1, -1, 0, -1299, -18693]$	\(y^2+xy=x^3-x^2-1299x-18693\)	1464.2.0.?	$[(183/2, 831/2)]$
185562.bc1	185562v1	185562.bc	185562v	$1$	$1$	\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 61 \)	\( - 2 \cdot 3^{9} \cdot 13^{6} \cdot 61 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$1$	$1$		$0$	$645120$	$1.259321$	$-1860867/122$	$0.79539$	$3.28255$	$[1, -1, 1, -11693, 516403]$	\(y^2+xy+y=x^3-x^2-11693x+516403\)	1464.2.0.?	$[]$
219600.fh1	219600dq1	219600.fh	219600dq	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 61 \)	\( - 2^{13} \cdot 3^{3} \cdot 5^{6} \cdot 61 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$1$	$1$		$0$	$376320$	$0.925407$	$-1860867/122$	$0.79539$	$2.91182$	$[0, 0, 0, -3075, 69250]$	\(y^2=x^3-3075x+69250\)	1464.2.0.?	$[]$
219600.fw1	219600dr1	219600.fw	219600dr	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 61 \)	\( - 2^{13} \cdot 3^{9} \cdot 5^{6} \cdot 61 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$1$	$4$	$2$	$0$	$1128960$	$1.474712$	$-1860867/122$	$0.79539$	$3.44775$	$[0, 0, 0, -27675, -1869750]$	\(y^2=x^3-27675x-1869750\)	1464.2.0.?	$[]$
317322.f1	317322f1	317322.f	317322f	$1$	$1$	\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 61 \)	\( - 2 \cdot 3^{9} \cdot 17^{6} \cdot 61 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$1$	$1$		$0$	$1693440$	$1.393454$	$-1860867/122$	$0.79539$	$3.27058$	$[1, -1, 0, -19995, 1153259]$	\(y^2+xy=x^3-x^2-19995x+1153259\)	1464.2.0.?	$[]$
317322.bh1	317322bh1	317322.bh	317322bh	$1$	$1$	\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 61 \)	\( - 2 \cdot 3^{3} \cdot 17^{6} \cdot 61 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$6.678817004$	$1$		$0$	$564480$	$0.844148$	$-1860867/122$	$0.79539$	$2.75023$	$[1, -1, 1, -2222, -41973]$	\(y^2+xy+y=x^3-x^2-2222x-41973\)	1464.2.0.?	$[(941/4, 8835/4)]$
396378.k1	396378k1	396378.k	396378k	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 61 \)	\( - 2 \cdot 3^{3} \cdot 19^{6} \cdot 61 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$1$	$1$		$0$	$733824$	$0.899760$	$-1860867/122$	$0.79539$	$2.75454$	$[1, -1, 0, -2775, 60067]$	\(y^2+xy=x^3-x^2-2775x+60067\)	1464.2.0.?	$[]$
396378.bu1	396378bu1	396378.bu	396378bu	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 61 \)	\( - 2 \cdot 3^{9} \cdot 19^{6} \cdot 61 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$21.46269831$	$1$		$0$	$2201472$	$1.449066$	$-1860867/122$	$0.79539$	$3.26591$	$[1, -1, 1, -24977, -1596833]$	\(y^2+xy+y=x^3-x^2-24977x-1596833\)	1464.2.0.?	$[(206424910759/2042, 93575157970980715/2042)]$
430416.cc1	430416cc1	430416.cc	430416cc	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 61 \)	\( - 2^{13} \cdot 3^{9} \cdot 7^{6} \cdot 61 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$1$	$1$		$0$	$2322432$	$1.642950$	$-1860867/122$	$0.79539$	$3.42452$	$[0, 0, 0, -54243, 5130594]$	\(y^2=x^3-54243x+5130594\)	1464.2.0.?	$[]$
430416.dh1	430416dh1	430416.dh	430416dh	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 61 \)	\( - 2^{13} \cdot 3^{3} \cdot 7^{6} \cdot 61 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1464$	$2$	$0$	$3.871362681$	$1$		$10$	$774144$	$1.093643$	$-1860867/122$	$0.79539$	$2.91639$	$[0, 0, 0, -6027, -190022]$	\(y^2=x^3-6027x-190022\)	1464.2.0.?	$[(119, 882), (413, 8232)]$

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