Elliptic curve search results

Results (31 matches)

 

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
645.c1	645e1	645.c	645e	$1$	$1$	\( 3 \cdot 5 \cdot 43 \)	\( - 3^{12} \cdot 5^{8} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$86$	$2$	$0$	$0.040609171$	$1$		$12$	$1536$	$1.165760$	$660867352100864/8926548046875$	$1.07121$	$5.75507$	$[0, 1, 1, 1815, 141239]$	\(y^2+y=x^3+x^2+1815x+141239\)	86.2.0.?	$[(51, 607)]$
1935.f1	1935e1	1935.f	1935e	$1$	$1$	\( 3^{2} \cdot 5 \cdot 43 \)	\( - 3^{18} \cdot 5^{8} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$12288$	$1.715067$	$660867352100864/8926548046875$	$1.07121$	$5.79063$	$[0, 0, 1, 16332, -3797127]$	\(y^2+y=x^3+16332x-3797127\)	86.2.0.?	$[]$
3225.f1	3225b1	3225.f	3225b	$1$	$1$	\( 3 \cdot 5^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{14} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$36864$	$1.970480$	$660867352100864/8926548046875$	$1.07121$	$5.80386$	$[0, -1, 1, 45367, 17564168]$	\(y^2+y=x^3-x^2+45367x+17564168\)	86.2.0.?	$[]$
9675.n1	9675k1	9675.n	9675k	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 3^{18} \cdot 5^{14} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$11.65137179$	$1$		$0$	$294912$	$2.519787$	$660867352100864/8926548046875$	$1.07121$	$5.82734$	$[0, 0, 1, 408300, -474640844]$	\(y^2+y=x^3+408300x-474640844\)	86.2.0.?	$[(1448710/23, 1770801629/23)]$
10320.q1	10320z1	10320.q	10320z	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{12} \cdot 3^{12} \cdot 5^{8} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$110592$	$1.858908$	$660867352100864/8926548046875$	$1.07121$	$4.92854$	$[0, -1, 0, 29035, -9010275]$	\(y^2=x^3-x^2+29035x-9010275\)	86.2.0.?	$[]$
27735.g1	27735b1	27735.g	27735b	$1$	$1$	\( 3 \cdot 5 \cdot 43^{2} \)	\( - 3^{12} \cdot 5^{8} \cdot 43^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$6.602719998$	$1$		$2$	$2838528$	$3.046360$	$660867352100864/8926548046875$	$1.07121$	$5.84512$	$[0, -1, 1, 3355319, -11182531644]$	\(y^2+y=x^3-x^2+3355319x-11182531644\)	86.2.0.?	$[(16042/3, 577799/3), (13588, 1594687)]$
30960.q1	30960bo1	30960.q	30960bo	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{12} \cdot 3^{18} \cdot 5^{8} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$884736$	$2.408215$	$660867352100864/8926548046875$	$1.07121$	$5.04237$	$[0, 0, 0, 261312, 243016112]$	\(y^2=x^3+261312x+243016112\)	86.2.0.?	$[]$
31605.g1	31605a1	31605.g	31605a	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{8} \cdot 7^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$552960$	$2.138714$	$660867352100864/8926548046875$	$1.07121$	$4.72021$	$[0, -1, 1, 88919, -48267213]$	\(y^2+y=x^3-x^2+88919x-48267213\)	86.2.0.?	$[]$
41280.h1	41280l1	41280.h	41280l	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{6} \cdot 3^{12} \cdot 5^{8} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$221184$	$1.512335$	$660867352100864/8926548046875$	$1.07121$	$3.89437$	$[0, -1, 0, 7259, 1122655]$	\(y^2=x^3-x^2+7259x+1122655\)	86.2.0.?	$[]$
41280.cj1	41280cw1	41280.cj	41280cw	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{6} \cdot 3^{12} \cdot 5^{8} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1.207071161$	$1$		$2$	$221184$	$1.512335$	$660867352100864/8926548046875$	$1.07121$	$3.89437$	$[0, 1, 0, 7259, -1122655]$	\(y^2=x^3+x^2+7259x-1122655\)	86.2.0.?	$[(152, 1875)]$
51600.cq1	51600cw1	51600.cq	51600cw	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{12} \cdot 3^{12} \cdot 5^{14} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$4.189966636$	$1$		$2$	$2654208$	$2.663628$	$660867352100864/8926548046875$	$1.07121$	$5.08745$	$[0, 1, 0, 725867, -1124832637]$	\(y^2=x^3+x^2+725867x-1124832637\)	86.2.0.?	$[(7478, 650025)]$
78045.h1	78045n1	78045.h	78045n	$1$	$1$	\( 3 \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{8} \cdot 11^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$0.768079603$	$1$		$4$	$1827840$	$2.364708$	$660867352100864/8926548046875$	$1.07121$	$4.58217$	$[0, 1, 1, 219575, -187111094]$	\(y^2+y=x^3+x^2+219575x-187111094\)	86.2.0.?	$[(650, 15187)]$
83205.m1	83205q1	83205.m	83205q	$1$	$1$	\( 3^{2} \cdot 5 \cdot 43^{2} \)	\( - 3^{18} \cdot 5^{8} \cdot 43^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$22708224$	$3.595665$	$660867352100864/8926548046875$	$1.07121$	$5.86014$	$[0, 0, 1, 30197868, 301898156512]$	\(y^2+y=x^3+30197868x+301898156512\)	86.2.0.?	$[]$
94815.bf1	94815bc1	94815.bf	94815bc	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( - 3^{18} \cdot 5^{8} \cdot 7^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$4423680$	$2.688023$	$660867352100864/8926548046875$	$1.07121$	$4.84290$	$[0, 0, 1, 800268, 1302414475]$	\(y^2+y=x^3+800268x+1302414475\)	86.2.0.?	$[]$
109005.i1	109005j1	109005.i	109005j	$1$	$1$	\( 3 \cdot 5 \cdot 13^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{8} \cdot 13^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$3151872$	$2.448235$	$660867352100864/8926548046875$	$1.07121$	$4.53660$	$[0, 1, 1, 306679, 309075836]$	\(y^2+y=x^3+x^2+306679x+309075836\)	86.2.0.?	$[]$
123840.ee1	123840df1	123840.ee	123840df	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{6} \cdot 3^{18} \cdot 5^{8} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$1769472$	$2.061642$	$660867352100864/8926548046875$	$1.07121$	$4.09163$	$[0, 0, 0, 65328, -30377014]$	\(y^2=x^3+65328x-30377014\)	86.2.0.?	$[]$
123840.fz1	123840fz1	123840.fz	123840fz	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{6} \cdot 3^{18} \cdot 5^{8} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$1769472$	$2.061642$	$660867352100864/8926548046875$	$1.07121$	$4.09163$	$[0, 0, 0, 65328, 30377014]$	\(y^2=x^3+65328x+30377014\)	86.2.0.?	$[]$
138675.m1	138675k1	138675.m	138675k	$1$	$1$	\( 3 \cdot 5^{2} \cdot 43^{2} \)	\( - 3^{12} \cdot 5^{14} \cdot 43^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$5.036825238$	$1$		$0$	$68124672$	$3.851078$	$660867352100864/8926548046875$	$1.07121$	$5.86617$	$[0, 1, 1, 83882967, -1397648689531]$	\(y^2+y=x^3+x^2+83882967x-1397648689531\)	86.2.0.?	$[(57117/2, 13174121/2)]$
154800.bi1	154800bt1	154800.bi	154800bt	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{12} \cdot 3^{18} \cdot 5^{14} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$26.46409026$	$1$		$0$	$21233664$	$3.212933$	$660867352100864/8926548046875$	$1.07121$	$5.17135$	$[0, 0, 0, 6532800, 30377014000]$	\(y^2=x^3+6532800x+30377014000\)	86.2.0.?	$[(2071886939465/27829, 5578733462692954275/27829)]$
158025.bb1	158025s1	158025.bb	158025s	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{14} \cdot 7^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$13271040$	$2.943436$	$660867352100864/8926548046875$	$1.07121$	$4.89228$	$[0, 1, 1, 2222967, -6028955656]$	\(y^2+y=x^3+x^2+2222967x-6028955656\)	86.2.0.?	$[]$
186405.d1	186405e1	186405.d	186405e	$1$	$1$	\( 3 \cdot 5 \cdot 17^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{8} \cdot 17^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$8.146737627$	$1$		$0$	$7348224$	$2.582367$	$660867352100864/8926548046875$	$1.07121$	$4.46866$	$[0, -1, 1, 524439, 690761621]$	\(y^2+y=x^3-x^2+524439x+690761621\)	86.2.0.?	$[(-393867/41, 1623585227/41)]$
206400.ba1	206400dz1	206400.ba	206400dz	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{6} \cdot 3^{12} \cdot 5^{14} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$2.087217735$	$1$		$2$	$5308416$	$2.317055$	$660867352100864/8926548046875$	$1.07121$	$4.17129$	$[0, -1, 0, 181467, -140694813]$	\(y^2=x^3-x^2+181467x-140694813\)	86.2.0.?	$[(702, 18225)]$
206400.jq1	206400hr1	206400.jq	206400hr	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{6} \cdot 3^{12} \cdot 5^{14} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$5308416$	$2.317055$	$660867352100864/8926548046875$	$1.07121$	$4.17129$	$[0, 1, 0, 181467, 140694813]$	\(y^2=x^3+x^2+181467x+140694813\)	86.2.0.?	$[]$
232845.i1	232845i1	232845.i	232845i	$1$	$1$	\( 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{8} \cdot 19^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1.375989942$	$1$		$4$	$10063872$	$2.637981$	$660867352100864/8926548046875$	$1.07121$	$4.44223$	$[0, -1, 1, 655095, -964829194]$	\(y^2+y=x^3-x^2+655095x-964829194\)	86.2.0.?	$[(22110, 3289612)]$
234135.t1	234135t1	234135.t	234135t	$1$	$1$	\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 3^{18} \cdot 5^{8} \cdot 11^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$9$	$3$	$0$	$14622720$	$2.914013$	$660867352100864/8926548046875$	$1.07121$	$4.70816$	$[0, 0, 1, 1976172, 5053975704]$	\(y^2+y=x^3+1976172x+5053975704\)	86.2.0.?	$[]$
327015.s1	327015s1	327015.s	327015s	$1$	$1$	\( 3^{2} \cdot 5 \cdot 13^{2} \cdot 43 \)	\( - 3^{18} \cdot 5^{8} \cdot 13^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$6.810386230$	$1$		$2$	$25214976$	$2.997543$	$660867352100864/8926548046875$	$1.07121$	$4.66321$	$[0, 0, 1, 2760108, -8342287470]$	\(y^2+y=x^3+2760108x-8342287470\)	86.2.0.?	$[(9818, 982417)]$
341205.o1	341205o1	341205.o	341205o	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{8} \cdot 23^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$16727040$	$2.733509$	$660867352100864/8926548046875$	$1.07121$	$4.39897$	$[0, 1, 1, 959959, -1710777835]$	\(y^2+y=x^3+x^2+959959x-1710777835\)	86.2.0.?	$[]$
390225.t1	390225t1	390225.t	390225t	$1$	$1$	\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 43 \)	\( - 3^{12} \cdot 5^{14} \cdot 11^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$43868160$	$3.169426$	$660867352100864/8926548046875$	$1.07121$	$4.75941$	$[0, -1, 1, 5489367, -23399865457]$	\(y^2+y=x^3-x^2+5489367x-23399865457\)	86.2.0.?	$[]$
416025.bb1	416025bb1	416025.bb	416025bb	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 43^{2} \)	\( - 3^{18} \cdot 5^{14} \cdot 43^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$48.81541087$	$1$		$0$	$544997376$	$4.400383$	$660867352100864/8926548046875$	$1.07121$	$5.87753$	$[0, 0, 1, 754946700, 37737269564031]$	\(y^2+y=x^3+754946700x+37737269564031\)	86.2.0.?	$[(-499441459165648632858655/4392686257, 78402238897472650685340421633479091/4392686257)]$
443760.bw1	443760bw1	443760.bw	443760bw	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( - 2^{12} \cdot 3^{12} \cdot 5^{8} \cdot 43^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$204374016$	$3.739510$	$660867352100864/8926548046875$	$1.07121$	$5.23846$	$[0, 1, 0, 53685099, 715628340099]$	\(y^2=x^3+x^2+53685099x+715628340099\)	86.2.0.?	$[]$
474075.ck1	474075ck1	474075.ck	474075ck	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( - 3^{18} \cdot 5^{14} \cdot 7^{6} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$106168320$	$3.492741$	$660867352100864/8926548046875$	$1.07121$	$4.98540$	$[0, 0, 1, 20006700, 162801809406]$	\(y^2+y=x^3+20006700x+162801809406\)	86.2.0.?	$[]$