Elliptic curve search results

Results (32 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
930.a1	930b1	930.a	930b	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 31 \)	\( - 2^{9} \cdot 3 \cdot 5^{5} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$3720$	$2$	$0$	$1$	$1$		$0$	$360$	$0.296270$	$-932288503609/148800000$	$0.92916$	$4.06785$	$[1, 1, 0, -203, -1347]$	\(y^2+xy=x^3+x^2-203x-1347\)	3720.2.0.?	$[]$
2790.y1	2790bc1	2790.y	2790bc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \)	\( - 2^{9} \cdot 3^{7} \cdot 5^{5} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$0.025103685$	$1$		$20$	$2880$	$0.845576$	$-932288503609/148800000$	$0.92916$	$4.33540$	$[1, -1, 1, -1832, 34539]$	\(y^2+xy+y=x^3-x^2-1832x+34539\)	3720.2.0.?	$[(47, 201)]$
4650.bv1	4650bo1	4650.bv	4650bo	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 31 \)	\( - 2^{9} \cdot 3 \cdot 5^{11} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$1$	$1$		$0$	$8640$	$1.100988$	$-932288503609/148800000$	$0.92916$	$4.43609$	$[1, 0, 0, -5088, -158208]$	\(y^2+xy=x^3-5088x-158208\)	3720.2.0.?	$[]$
7440.v1	7440t1	7440.v	7440t	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \)	\( - 2^{21} \cdot 3 \cdot 5^{5} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$1.401400065$	$1$		$2$	$8640$	$0.989417$	$-932288503609/148800000$	$0.92916$	$4.05202$	$[0, 1, 0, -3256, 79700]$	\(y^2=x^3+x^2-3256x+79700\)	3720.2.0.?	$[(-26, 384)]$
13950.bj1	13950bb1	13950.bj	13950bb	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 31 \)	\( - 2^{9} \cdot 3^{7} \cdot 5^{11} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$1.036528509$	$1$		$4$	$69120$	$1.650295$	$-932288503609/148800000$	$0.92916$	$4.61613$	$[1, -1, 0, -45792, 4271616]$	\(y^2+xy=x^3-x^2-45792x+4271616\)	3720.2.0.?	$[(-141, 2883)]$
22320.ca1	22320bw1	22320.ca	22320bw	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 31 \)	\( - 2^{21} \cdot 3^{7} \cdot 5^{5} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$1$	$1$		$0$	$69120$	$1.538723$	$-932288503609/148800000$	$0.92916$	$4.26575$	$[0, 0, 0, -29307, -2181206]$	\(y^2=x^3-29307x-2181206\)	3720.2.0.?	$[]$
28830.l1	28830r1	28830.l	28830r	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \)	\( - 2^{9} \cdot 3 \cdot 5^{5} \cdot 31^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$2.852099093$	$1$		$2$	$345600$	$2.013264$	$-932288503609/148800000$	$0.92916$	$4.71395$	$[1, 0, 1, -195584, 37588046]$	\(y^2+xy+y=x^3-195584x+37588046\)	3720.2.0.?	$[(1196, 38322)]$
29760.bk1	29760by1	29760.bk	29760by	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \)	\( - 2^{27} \cdot 3 \cdot 5^{5} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$0.471128672$	$1$		$4$	$69120$	$1.335991$	$-932288503609/148800000$	$0.92916$	$3.91044$	$[0, -1, 0, -13025, 650625]$	\(y^2=x^3-x^2-13025x+650625\)	3720.2.0.?	$[(205, 2560)]$
29760.cl1	29760bk1	29760.cl	29760bk	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \)	\( - 2^{27} \cdot 3 \cdot 5^{5} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$1$	$1$		$0$	$69120$	$1.335991$	$-932288503609/148800000$	$0.92916$	$3.91044$	$[0, 1, 0, -13025, -650625]$	\(y^2=x^3+x^2-13025x-650625\)	3720.2.0.?	$[]$
37200.f1	37200bp1	37200.f	37200bp	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 31 \)	\( - 2^{21} \cdot 3 \cdot 5^{11} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$1$	$1$		$0$	$207360$	$1.794136$	$-932288503609/148800000$	$0.92916$	$4.34992$	$[0, -1, 0, -81408, 10125312]$	\(y^2=x^3-x^2-81408x+10125312\)	3720.2.0.?	$[]$
45570.bm1	45570bi1	45570.bm	45570bi	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 31 \)	\( - 2^{9} \cdot 3 \cdot 5^{5} \cdot 7^{6} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$1$	$1$		$0$	$118800$	$1.269226$	$-932288503609/148800000$	$0.92916$	$3.68043$	$[1, 0, 1, -9973, 432128]$	\(y^2+xy+y=x^3-9973x+432128\)	3720.2.0.?	$[]$
86490.cj1	86490cu1	86490.cj	86490cu	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 31^{2} \)	\( - 2^{9} \cdot 3^{7} \cdot 5^{5} \cdot 31^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$0.454379581$	$1$		$6$	$2764800$	$2.562569$	$-932288503609/148800000$	$0.92916$	$4.83824$	$[1, -1, 1, -1760252, -1014877249]$	\(y^2+xy+y=x^3-x^2-1760252x-1014877249\)	3720.2.0.?	$[(5061, 343429)]$
89280.m1	89280bs1	89280.m	89280bs	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \)	\( - 2^{27} \cdot 3^{7} \cdot 5^{5} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$2.071373848$	$1$		$2$	$552960$	$1.885298$	$-932288503609/148800000$	$0.92916$	$4.11182$	$[0, 0, 0, -117228, 17449648]$	\(y^2=x^3-117228x+17449648\)	3720.2.0.?	$[(102, 2560)]$
89280.cj1	89280eh1	89280.cj	89280eh	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \)	\( - 2^{27} \cdot 3^{7} \cdot 5^{5} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$7.206520330$	$1$		$2$	$552960$	$1.885298$	$-932288503609/148800000$	$0.92916$	$4.11182$	$[0, 0, 0, -117228, -17449648]$	\(y^2=x^3-117228x-17449648\)	3720.2.0.?	$[(10444, 1066752)]$
111600.bh1	111600ed1	111600.bh	111600ed	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 31 \)	\( - 2^{21} \cdot 3^{7} \cdot 5^{11} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$1.115674339$	$1$		$4$	$1658880$	$2.343441$	$-932288503609/148800000$	$0.92916$	$4.50589$	$[0, 0, 0, -732675, -272650750]$	\(y^2=x^3-732675x-272650750\)	3720.2.0.?	$[(8065, 720000)]$
112530.bu1	112530bt1	112530.bu	112530bt	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 31 \)	\( - 2^{9} \cdot 3 \cdot 5^{5} \cdot 11^{6} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$1$	$1$		$0$	$486000$	$1.495218$	$-932288503609/148800000$	$0.92916$	$3.62754$	$[1, 1, 1, -24626, 1669823]$	\(y^2+xy+y=x^3+x^2-24626x+1669823\)	3720.2.0.?	$[]$
136710.ec1	136710bn1	136710.ec	136710bn	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 \)	\( - 2^{9} \cdot 3^{7} \cdot 5^{5} \cdot 7^{6} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$1$	$1$		$0$	$950400$	$1.818531$	$-932288503609/148800000$	$0.92916$	$3.89592$	$[1, -1, 1, -89753, -11667463]$	\(y^2+xy+y=x^3-x^2-89753x-11667463\)	3720.2.0.?	$[]$
144150.dp1	144150ch1	144150.dp	144150ch	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 31^{2} \)	\( - 2^{9} \cdot 3 \cdot 5^{11} \cdot 31^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$0.921707801$	$1$		$4$	$8294400$	$2.817982$	$-932288503609/148800000$	$0.92916$	$4.88820$	$[1, 1, 1, -4889588, 4698505781]$	\(y^2+xy+y=x^3+x^2-4889588x+4698505781\)	3720.2.0.?	$[(1175, 23437)]$
148800.et1	148800lc1	148800.et	148800lc	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 31 \)	\( - 2^{27} \cdot 3 \cdot 5^{11} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$1$	$1$		$0$	$1658880$	$2.140709$	$-932288503609/148800000$	$0.92916$	$4.19280$	$[0, -1, 0, -325633, -80676863]$	\(y^2=x^3-x^2-325633x-80676863\)	3720.2.0.?	$[]$
148800.gm1	148800bj1	148800.gm	148800bj	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 31 \)	\( - 2^{27} \cdot 3 \cdot 5^{11} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$3.749908060$	$1$		$2$	$1658880$	$2.140709$	$-932288503609/148800000$	$0.92916$	$4.19280$	$[0, 1, 0, -325633, 80676863]$	\(y^2=x^3+x^2-325633x+80676863\)	3720.2.0.?	$[(1498, 54375)]$
157170.ch1	157170bj1	157170.ch	157170bj	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \)	\( - 2^{9} \cdot 3 \cdot 5^{5} \cdot 13^{6} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$0.748406620$	$1$		$4$	$829440$	$1.578745$	$-932288503609/148800000$	$0.92916$	$3.61002$	$[1, 1, 1, -34395, -2787543]$	\(y^2+xy+y=x^3+x^2-34395x-2787543\)	3720.2.0.?	$[(447, 8226)]$
227850.go1	227850ed1	227850.go	227850ed	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 31 \)	\( - 2^{9} \cdot 3 \cdot 5^{11} \cdot 7^{6} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$0.946336837$	$1$		$4$	$2851200$	$2.073944$	$-932288503609/148800000$	$0.92916$	$3.98304$	$[1, 1, 1, -249313, 54016031]$	\(y^2+xy+y=x^3+x^2-249313x+54016031\)	3720.2.0.?	$[(295, 2352)]$
230640.u1	230640u1	230640.u	230640u	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 31^{2} \)	\( - 2^{21} \cdot 3 \cdot 5^{5} \cdot 31^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$18.83133286$	$1$		$0$	$8294400$	$2.706409$	$-932288503609/148800000$	$0.92916$	$4.59373$	$[0, -1, 0, -3129336, -2405634960]$	\(y^2=x^3-x^2-3129336x-2405634960\)	3720.2.0.?	$[(59419978460/5303, 3023912575204480/5303)]$
268770.bb1	268770bb1	268770.bb	268770bb	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 31 \)	\( - 2^{9} \cdot 3 \cdot 5^{5} \cdot 17^{6} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$5.042056911$	$1$		$2$	$1774080$	$1.712877$	$-932288503609/148800000$	$0.92916$	$3.58384$	$[1, 0, 1, -58818, -6206444]$	\(y^2+xy+y=x^3-58818x-6206444\)	3720.2.0.?	$[(18010, 2407757)]$
335730.cu1	335730cu1	335730.cu	335730cu	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 31 \)	\( - 2^{9} \cdot 3 \cdot 5^{5} \cdot 19^{6} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$1$	$1$		$0$	$2533680$	$1.768490$	$-932288503609/148800000$	$0.92916$	$3.57363$	$[1, 0, 0, -73471, 8651801]$	\(y^2+xy=x^3-73471x+8651801\)	3720.2.0.?	$[]$
337590.cr1	337590cr1	337590.cr	337590cr	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 31 \)	\( - 2^{9} \cdot 3^{7} \cdot 5^{5} \cdot 11^{6} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$3.486709438$	$1$		$2$	$3888000$	$2.044525$	$-932288503609/148800000$	$0.92916$	$3.83229$	$[1, -1, 0, -221634, -45306860]$	\(y^2+xy=x^3-x^2-221634x-45306860\)	3720.2.0.?	$[(611, 6557)]$
364560.cl1	364560cl1	364560.cl	364560cl	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 31 \)	\( - 2^{21} \cdot 3 \cdot 5^{5} \cdot 7^{6} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$3.038936828$	$1$		$2$	$2851200$	$1.962372$	$-932288503609/148800000$	$0.92916$	$3.73232$	$[0, -1, 0, -159560, -27656208]$	\(y^2=x^3-x^2-159560x-27656208\)	3720.2.0.?	$[(1204, 39040)]$
432450.do1	432450do1	432450.do	432450do	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 2^{9} \cdot 3^{7} \cdot 5^{11} \cdot 31^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$4.082032571$	$1$		$0$	$66355200$	$3.367290$	$-932288503609/148800000$	$0.92916$	$4.98232$	$[1, -1, 0, -44006292, -126903662384]$	\(y^2+xy=x^3-x^2-44006292x-126903662384\)	3720.2.0.?	$[(447071/7, 163306814/7)]$
446400.dc1	446400dc1	446400.dc	446400dc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 31 \)	\( - 2^{27} \cdot 3^{7} \cdot 5^{11} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$3.578264844$	$1$		$2$	$13271040$	$2.690018$	$-932288503609/148800000$	$0.92916$	$4.34542$	$[0, 0, 0, -2930700, -2181206000]$	\(y^2=x^3-2930700x-2181206000\)	3720.2.0.?	$[(3074, 133632)]$
446400.qo1	446400qo1	446400.qo	446400qo	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 31 \)	\( - 2^{27} \cdot 3^{7} \cdot 5^{11} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$4.319521992$	$1$		$2$	$13271040$	$2.690018$	$-932288503609/148800000$	$0.92916$	$4.34542$	$[0, 0, 0, -2930700, 2181206000]$	\(y^2=x^3-2930700x+2181206000\)	3720.2.0.?	$[(1285, 23175)]$
471510.bd1	471510bd1	471510.bd	471510bd	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \)	\( - 2^{9} \cdot 3^{7} \cdot 5^{5} \cdot 13^{6} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$1$	$1$		$0$	$6635520$	$2.128052$	$-932288503609/148800000$	$0.92916$	$3.81101$	$[1, -1, 0, -309555, 74954101]$	\(y^2+xy=x^3-x^2-309555x+74954101\)	3720.2.0.?	$[]$
491970.o1	491970o1	491970.o	491970o	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 23^{2} \cdot 31 \)	\( - 2^{9} \cdot 3 \cdot 5^{5} \cdot 23^{6} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3720$	$2$	$0$	$1$	$1$		$0$	$4363920$	$1.864017$	$-932288503609/148800000$	$0.92916$	$3.55691$	$[1, 1, 0, -107662, 15313204]$	\(y^2+xy=x^3+x^2-107662x+15313204\)	3720.2.0.?	$[]$