Cremona's table of elliptic curves

37296 = 2⁴ · 3² · 7 · 37

Class	r	Atkin-Lehner	Eigenvalues
37296a (2 curves)	0	2+ 3+ 7- 37+	2+ 3+  0 7-  6 -2  0 -4
Curve Equation t 37296a1 [0,0,0,-2295,-42282] 2 37296a2 [0,0,0,-1755,-62694] 2
37296b (2 curves)	2	2+ 3+ 7- 37+	2+ 3+  0 7- -6 -2  0 -4
Curve Equation t Generators 37296b1 [0,0,0,-255,1566] 2 [-18:18:1]&[-3:48:1] 37296b2 [0,0,0,-195,2322] 2 [-11:56:1]&[3:-42:1]
37296c (2 curves)	0	2+ 3+ 7- 37+	2+ 3+  2 7- -2  6 -2  8
Curve Equation t 37296c1 [0,0,0,1026,1027] 2 37296c2 [0,0,0,-4119,8230] 2
37296d (2 curves)	0	2+ 3+ 7- 37+	2+ 3+ -2 7-  2  6  2  8
Curve Equation t 37296d1 [0,0,0,9234,-27729] 2 37296d2 [0,0,0,-37071,-222210] 2
37296e (2 curves)	0	2+ 3+ 7- 37+	2+ 3+  4 7-  2 -6 -4 -4
Curve Equation t 37296e1 [0,0,0,-114183,-14850810] 2 37296e2 [0,0,0,-113643,-14998230] 2
37296f (2 curves)	2	2+ 3+ 7- 37+	2+ 3+ -4 7- -2 -6  4 -4
Curve Equation t Generators 37296f1 [0,0,0,-12687,550030] 2 [62:42:1]&[-43:1008:1] 37296f2 [0,0,0,-12627,555490] 2 [10945:-43512:125]&[-93:962:1]
37296g (2 curves)	1	2+ 3+ 7- 37-	2+ 3+  2 7- -2 -4  2  2
Curve Equation t Generators 37296g1 [0,0,0,81,4590] 2 [10:80:1] 37296g2 [0,0,0,-3699,83970] 2 [3:270:1]
37296h (2 curves)	1	2+ 3+ 7- 37-	2+ 3+ -2 7-  2 -4 -2  2
Curve Equation t Generators 37296h1 [0,0,0,9,-170] 2 [6:10:1] 37296h2 [0,0,0,-411,-3110] 2 [-13:6:1]
37296i (2 curves)	2	2+ 3- 7+ 37+	2+ 3-  0 7+ -4 -4  0 -2
Curve Equation t Generators 37296i1 [0,0,0,-255,6302] 2 [-7:88:1]&[13:72:1] 37296i2 [0,0,0,-6915,220754] 2 [-35:648:1]&[-29:630:1]
37296j (2 curves)	0	2+ 3- 7+ 37+	2+ 3-  2 7+  0  4 -2  6
Curve Equation t 37296j1 [0,0,0,-174,583] 2 37296j2 [0,0,0,-1119,-13970] 2
37296k (2 curves)	2	2+ 3- 7+ 37+	2+ 3- -2 7+  2 -4  2  0
Curve Equation t Generators 37296k1 [0,0,0,249,-250] 2 [2:16:1]&[13:72:1] 37296k2 [0,0,0,-1011,-2014] 2 [-29:54:1]&[-5:54:1]
37296l (2 curves)	0	2+ 3- 7+ 37+	2+ 3-  4 7+  4 -4  4  2
Curve Equation t 37296l1 [0,0,0,1257,-6410] 2 37296l2 [0,0,0,-5403,-53030] 2
37296m (2 curves)	1	2+ 3- 7+ 37-	2+ 3-  0 7+  0 -2 -4 -4
Curve Equation t Generators 37296m1 [0,0,0,330,331] 2 [35:234:1] 37296m2 [0,0,0,-1335,2662] 2 [-7:108:1]
37296n (2 curves)	1	2+ 3- 7+ 37-	2+ 3-  0 7+  0 -6  4  0
Curve Equation t Generators 37296n1 [0,0,0,-259950,50900663] 2 [1538:22671:8] 37296n2 [0,0,0,-161535,89892686] 2 [-203:10692:1]
37296o (2 curves)	1	2+ 3- 7+ 37-	2+ 3-  0 7+ -4  2  4 -4
Curve Equation t Generators 37296o1 [0,0,0,-4710,-112201] 2 [-382:495:8] 37296o2 [0,0,0,6225,-556162] 2 [133:1620:1]
37296p (1 curve)	1	2+ 3- 7+ 37-	2+ 3-  1 7+  3  1  2  4
Curve Equation t Generators 37296p1 [0,0,0,-1812,30508] 1 [-7:207:1]
37296q (4 curves)	1	2+ 3- 7+ 37-	2+ 3- -2 7+  0 -2  2  4
Curve Equation t Generators 37296q1 [0,0,0,-340626,-85964429] 2 [231325308020400:11746464645461189:85184000000] 37296q2 [0,0,0,-5634831,-5148283250] 4 [14461854:1467945400:1331] 37296q3 [0,0,0,-5820051,-4791734750] 4 [43043:8915742:1] 37296q4 [0,0,0,-90156891,-329493236294] 2 [74624225703126:4729167960219400:5764224257]
37296r (4 curves)	1	2+ 3- 7+ 37-	2+ 3- -2 7+  4 -6 -6  0
Curve Equation t Generators 37296r1 [0,0,0,-1146,14191] 2 [11:54:1] 37296r2 [0,0,0,-3351,-56810] 4 [102:814:1] 37296r3 [0,0,0,7989,-358454] 2 [75:814:1] 37296r4 [0,0,0,-49971,-4299230] 2 [354:4730:1]
37296s (1 curve)	1	2+ 3- 7+ 37-	2+ 3-  3 7+  0 -2  2 -1
Curve Equation t Generators 37296s1 [0,0,0,-143211,23467642] 1 [3833:236196:1]
37296t (2 curves)	1	2+ 3- 7- 37+	2+ 3-  0 7-  4  0  4 -2
Curve Equation t Generators 37296t1 [0,0,0,-90,243] 2 [-9:18:1] 37296t2 [0,0,0,225,1566] 2 [142:1702:1]
37296u (1 curve)	1	2+ 3- 7- 37+	2+ 3-  1 7-  5 -1 -6  4
Curve Equation t Generators 37296u1 [0,0,0,-295452,61958412] 1 [321:441:1]
37296v (1 curve)	1	2+ 3- 7- 37+	2+ 3- -1 7-  1 -3 -2 -4
Curve Equation t Generators 37296v1 [0,0,0,26772,266236] 1 [41:1197:1]
37296w (1 curve)	1	2+ 3- 7- 37+	2+ 3- -1 7- -2  0  4 -1
Curve Equation t Generators 37296w1 [0,0,0,-1083,-37046] 1 [89:-756:1]
37296x (2 curves)	1	2+ 3- 7- 37+	2+ 3-  2 7-  0  4 -2  6
Curve Equation t Generators 37296x1 [0,0,0,-5214,144695] 2 [527:11990:1] 37296x2 [0,0,0,-6879,44462] 2 [-79:308:1]
37296y (2 curves)	1	2+ 3- 7- 37+	2+ 3-  2 7- -2  0 -2 -4
Curve Equation t Generators 37296y1 [0,0,0,-1119,225790] 2 [-18:490:1] 37296y2 [0,0,0,-62859,6017002] 2 [-109:3402:1]
37296z (2 curves)	1	2+ 3- 7- 37+	2+ 3-  2 7-  4  0 -2  2
Curve Equation t Generators 37296z1 [0,0,0,-27894,-1793045] 2 [227:1890:1] 37296z2 [0,0,0,-29559,-1566938] 2 [341:5292:1]
37296ba (2 curves)	1	2+ 3- 7- 37+	2+ 3-  2 7-  4 -6  4 -4
Curve Equation t Generators 37296ba1 [0,0,0,141,-28478] 2 [66:518:1] 37296ba2 [0,0,0,-13179,-569270] 2 [138:490:1]
37296bb (2 curves)	1	2+ 3- 7- 37+	2+ 3-  2 7- -4 -4  6  2
Curve Equation t Generators 37296bb1 [0,0,0,-174,-65] 2 [23:90:1] 37296bb2 [0,0,0,-1839,30238] 2 [29:36:1]
37296bc (1 curve)	1	2+ 3- 7- 37+	2+ 3- -3 7- -3 -5 -6 -4
Curve Equation t Generators 37296bc1 [0,0,0,36,-324] 1 [9:27:1]
37296bd (2 curves)	1	2+ 3- 7- 37+	2+ 3-  4 7- -4 -4  0 -2
Curve Equation t Generators 37296bd1 [0,0,0,-151938,-22795425] 2 [-743070150525:-2333648250:3301293169] 37296bd2 [0,0,0,-151623,-22894650] 2 [26816202561815732250:-321234008805821296791:51582705765625000]
37296be (4 curves)	2	2+ 3- 7- 37-	2+ 3- -2 7- -4 -2  2 -8
Curve Equation t Generators 37296be1 [0,0,0,-5466,155531] 2 [-65:486:1]&[31:126:1] 37296be2 [0,0,0,-5871,131150] 4 [-83:216:1]&[-23:504:1] 37296be3 [0,0,0,14109,830450] 4 [293:-5488:1]&[-46:290:1] 37296be4 [0,0,0,-32331,-2128534] 2 [-86:126:1]&[-85:74:1]
37296bf (4 curves)	2	2+ 3- 7- 37-	2+ 3- -2 7- -4 -2 -6 -4
Curve Equation t Generators 37296bf1 [0,0,0,-3666,121399] 2 [-9:392:1]&[75:-518:1] 37296bf2 [0,0,0,-65271,6417430] 4 [-43:3024:1]&[38:1998:1] 37296bf3 [0,0,0,-71931,5028154] 2 [-291:1148:1]&[-151:3528:1] 37296bf4 [0,0,0,-1044291,410752690] 4 [-493:28386:1]&[83:18018:1]
37296bg (2 curves)	0	2+ 3- 7- 37-	2+ 3-  4 7-  0 -2  0 -8
Curve Equation t 37296bg1 [0,0,0,-116238,6226715] 2 37296bg2 [0,0,0,419577,47484470] 2
37296bh (2 curves)	0	2+ 3- 7- 37-	2+ 3-  4 7- -4  2 -8  8
Curve Equation t 37296bh1 [0,0,0,-5358,158695] 2 37296bh2 [0,0,0,-86943,9867310] 2
37296bi (2 curves)	1	2- 3+ 7- 37+	2- 3+  0 7-  2  2  0 -4
Curve Equation t Generators 37296bi1 [0,0,0,-195,194] 2 [-2:24:1] 37296bi2 [0,0,0,765,1538] 2 [1:48:1]
37296bj (2 curves)	1	2- 3+ 7- 37+	2- 3+  0 7- -2  2  0 -4
Curve Equation t Generators 37296bj1 [0,0,0,-1755,-5238] 2 [253:3968:1] 37296bj2 [0,0,0,6885,-41526] 2 [13:224:1]
37296bk (2 curves)	1	2- 3- 7+ 37+	2- 3-  0 7+  4  2  0 -6
Curve Equation t Generators 37296bk1 [0,0,0,-208353360,1157565013103] 2 [238924744602561325:-64599538348349555274:84171637140625] 37296bk2 [0,0,0,-213175695,1101171663146] 2 [14541424421194570154687560197650:-4056925235408773374798156704087673:5459221525778248534614125000]
37296bl (2 curves)	1	2- 3- 7+ 37+	2- 3-  0 7+  4 -4  0 -6
Curve Equation t Generators 37296bl1 [0,0,0,-6915,-241918] 2 [1022:32560:1] 37296bl2 [0,0,0,-113475,-14712766] 2 [481:6480:1]
37296bm (2 curves)	1	2- 3- 7+ 37+	2- 3-  0 7+ -4 -4  8  2
Curve Equation t Generators 37296bm1 [0,0,0,340125,-5787038] 2 [59178:2866168:27] 37296bm2 [0,0,0,-1364835,-46365086] 2 [1553:39744:1]
37296bn (1 curve)	1	2- 3- 7+ 37+	2- 3-  1 7+ -1 -5  2  4
Curve Equation t Generators 37296bn1 [0,0,0,1248,589808] 1 [1153:39177:1]
37296bo (1 curve)	1	2- 3- 7+ 37+	2- 3- -1 7+ -4 -6  6 -7
Curve Equation t Generators 37296bo1 [0,0,0,-91083,10580474] 1 [175:18:1]
37296bp (2 curves)	1	2- 3- 7+ 37+	2- 3-  2 7+  2  0  6  8
Curve Equation t Generators 37296bp1 [0,0,0,176901,15254570] 2 [19117:2643840:1] 37296bp2 [0,0,0,-810939,130041578] 2 [19127290:2642423067:1000]
37296bq (2 curves)	1	2- 3- 7+ 37+	2- 3- -2 7+  2  4  2  4
Curve Equation t Generators 37296bq1 [0,0,0,-21171,-1248910] 2 [190:1260:1] 37296bq2 [0,0,0,-343731,-77566606] 2 [3262:183060:1]
37296br (1 curve)	1	2- 3- 7+ 37+	2- 3-  3 7+  2 -4 -4  5
Curve Equation t Generators 37296br1 [0,0,0,-1011,14002] 1 [-7:144:1]
37296bs (1 curve)	1	2- 3- 7+ 37+	2- 3- -3 7+ -1 -1  2 -4
Curve Equation t Generators 37296bs1 [0,0,0,-24384,-1465616] 1 [355795:4437963:1331]
37296bt (2 curves)	1	2- 3- 7+ 37+	2- 3-  4 7+ -4  4 -4 -2
Curve Equation t Generators 37296bt1 [0,0,0,24117,-42166150] 2 [4653438855:-110017267712:7414875] 37296bt2 [0,0,0,-1680843,-817922950] 2 [-213049915:-1201765248:274625]
37296bu (2 curves)	1	2- 3- 7+ 37+	2- 3- -4 7+  4  4  0  6
Curve Equation t Generators 37296bu1 [0,0,0,-747,-57510] 2 [61:352:1] 37296bu2 [0,0,0,-27387,-1735830] 2 [-99:72:1]
37296bv (2 curves)	1	2- 3- 7+ 37+	2- 3- -4 7+  4 -6 -4  2
Curve Equation t Generators 37296bv1 [0,0,0,-552,-1825] 2 [-11:54:1] 37296bv2 [0,0,0,-7167,-233350] 2 [98:74:1]
37296bw (4 curves)	0	2- 3- 7+ 37-	2- 3-  0 7+  0 -4  0  4
Curve Equation t 37296bw1 [0,0,0,-15420,719147] 2 37296bw2 [0,0,0,-245055,46692074] 2 37296bw3 [0,0,0,-161220,-24652969] 2 37296bw4 [0,0,0,-300135,24161762] 2
37296bx (2 curves)	0	2- 3- 7+ 37-	2- 3-  0 7+ -4  4  0  0
Curve Equation t 37296bx1 [0,0,0,-1020,-12521] 2 37296bx2 [0,0,0,-1335,-4142] 2
37296by (1 curve)	0	2- 3- 7+ 37-	2- 3- -1 7+  0 -2  2  7
Curve Equation t 37296by1 [0,0,0,7557,-1259606] 1
37296bz (4 curves)	0	2- 3- 7+ 37-	2- 3-  2 7+  0  2  6 -4
Curve Equation t 37296bz1 [0,0,0,-2019,55330] 2 37296bz2 [0,0,0,-37299,2771890] 4 37296bz3 [0,0,0,-42339,1974562] 2 37296bz4 [0,0,0,-596739,177429058] 2
37296ca (2 curves)	0	2- 3- 7+ 37-	2- 3-  3 7+  3 -1  6  4
Curve Equation t 37296ca1 [0,0,0,-696,11468] 1 37296ca2 [0,0,0,5784,-197188] 1
37296cb (3 curves)	0	2- 3- 7+ 37-	2- 3-  3 7+ -6 -4  0  7
Curve Equation t 37296cb1 [0,0,0,-686451,220918322] 1 37296cb2 [0,0,0,2268429,1149963698] 1 37296cb3 [0,0,0,-22921491,-60272840878] 1
37296cc (2 curves)	0	2- 3- 7+ 37-	2- 3- -4 7+  0  4 -4  4
Curve Equation t 37296cc1 [0,0,0,-9012,-329285] 2 37296cc2 [0,0,0,-9327,-305030] 2
37296cd (2 curves)	0	2- 3- 7- 37+	2- 3-  0 7- -4  2  0  2
Curve Equation t 37296cd1 [0,0,0,-4080,-91177] 2 37296cd2 [0,0,0,-63615,-6175654] 2
37296ce (1 curve)	0	2- 3- 7- 37+	2- 3-  1 7- -3 -1 -6  4
Curve Equation t 37296ce1 [0,0,0,-129072,41162812] 1
37296cf (2 curves)	0	2- 3- 7- 37+	2- 3- -2 7-  6 -4 -6  4
Curve Equation t 37296cf1 [0,0,0,-1011,-27470] 2 37296cf2 [0,0,0,-21171,-1184654] 2
37296cg (1 curve)	0	2- 3- 7- 37+	2- 3-  3 7- -4  2  6 -1
Curve Equation t 37296cg1 [0,0,0,5469,609698] 1
37296ch (2 curves)	1	2- 3- 7- 37-	2- 3-  0 7-  0  4  8 -8
Curve Equation t Generators 37296ch1 [0,0,0,-300,187] 2 [29:126:1] 37296ch2 [0,0,0,-3135,-67286] 2 [610:2961:8]
37296ci (1 curve)	1	2- 3- 7- 37-	2- 3- -1 7-  1 -1 -2 -4
Curve Equation t Generators 37296ci1 [0,0,0,-364600848,2679901730224] 1 [11297:52479:1]
37296cj (1 curve)	1	2- 3- 7- 37-	2- 3- -1 7- -3 -5 -2  4
Curve Equation t Generators 37296cj1 [0,0,0,-48,4016] 1 [1:63:1]
37296ck (1 curve)	1	2- 3- 7- 37-	2- 3- -1 7- -4 -6 -2  1
Curve Equation t Generators 37296ck1 [0,0,0,-58323,-6960494] 1 [2105:95904:1]
37296cl (1 curve)	1	2- 3- 7- 37-	2- 3- -1 7- -6  4  4  5
Curve Equation t Generators 37296cl1 [0,0,0,2517,73946] 1 [-17:162:1]
37296cm (4 curves)	1	2- 3- 7- 37-	2- 3-  2 7-  0 -2 -2  4
Curve Equation t Generators 37296cm1 [0,0,0,-188859,-31590358] 2 [902740355:66276500416:166375] 37296cm2 [0,0,0,-189579,-31337350] 4 [21677:3190880:1] 37296cm3 [0,0,0,-14619,-86939638] 4 [461:2072:1] 37296cm4 [0,0,0,-376059,40457450] 2 [59486350:8755097065:2744]
37296cn (4 curves)	1	2- 3- 7- 37-	2- 3-  2 7-  0 -2 -2 -4
Curve Equation t Generators 37296cn1 [0,0,0,-14619,333002] 2 [-284:40365:64] 37296cn2 [0,0,0,-198939,34137290] 4 [10:5670:1] 37296cn3 [0,0,0,-164379,46378442] 4 [61:6048:1] 37296cn4 [0,0,0,-3182619,2185370570] 2 [222630:8495:216]
37296co (4 curves)	1	2- 3- 7- 37-	2- 3-  2 7-  4  2 -2 -4
Curve Equation t Generators 37296co1 [0,0,0,-2379,44602] 2 [-19:288:1] 37296co2 [0,0,0,-3099,15370] 4 [-22:270:1] 37296co3 [0,0,0,12021,121210] 2 [90:1390:1] 37296co4 [0,0,0,-29739,-1961318] 2 [-99:112:1]
37296cp (2 curves)	1	2- 3- 7- 37-	2- 3- -4 7-  0  4  4  8
Curve Equation t Generators 37296cp1 [0,0,0,-59412,-2865445] 2 [853:23814:1] 37296cp2 [0,0,0,-815727,-283458310] 2 [8882:107163:8]

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