Cremona's table of elliptic curves

88350 = 2 · 3 · 5² · 19 · 31

Class	r	Atkin-Lehner	Eigenvalues
88350a (2 curves)	1	2+ 3+ 5+ 19+ 31+	2+ 3+ 5+  2  0 -2  2 19+
Curve Equation t Generators 88350a1 [1,1,0,-22150,-1227500] 2 [-75:175:1] 88350a2 [1,1,0,-60150,4054500] 2 [-105:3090:1]
88350b (2 curves)	1	2+ 3+ 5+ 19+ 31+	2+ 3+ 5+ -2  2 -4  2 19+
Curve Equation t Generators 88350b1 [1,1,0,379500,154080000] 2 [80:13560:1] 88350b2 [1,1,0,-3050000,1687066500] 2 [-880:61190:1]
88350c (1 curve)	1	2+ 3+ 5+ 19+ 31+	2+ 3+ 5+ -3  5 -3  4 19+
Curve Equation t Generators 88350c1 [1,1,0,314567785,509370346965] 1 [1209964037329545289:2898579746506117987756:210751100351]
88350d (4 curves)	1	2+ 3+ 5+ 19+ 31+	2+ 3+ 5+ -4  4  6 -2 19+
Curve Equation t Generators 88350d1 [1,1,0,-63738375,-195888292875] 2 [4761003497485446292730:-1255304478283940007344765:67818979270570627] 88350d2 [1,1,0,-63770375,-195681796875] 4 [22311452330:856913040235:2248091] 88350d3 [1,1,0,-41900375,-331910026875] 2 [4229520587670600797090758:-2239902838022165994942799497:15100762227260659048] 88350d4 [1,1,0,-86152375,-46237182875] 2 [30990:5185205:1]
88350e (4 curves)	0	2+ 3+ 5+ 19- 31+	2+ 3+ 5+  0  0  6  6 19-
Curve Equation t 88350e1 [1,1,0,-11504750,18695512500] 2 88350e2 [1,1,0,-196336750,1058745176500] 4 88350e3 [1,1,0,-208648750,918425312500] 2 88350e4 [1,1,0,-3141336750,67765940176500] 2
88350f (1 curve)	0	2+ 3+ 5+ 19- 31+	2+ 3+ 5+  1 -3  5  0 19-
Curve Equation t 88350f1 [1,1,0,-9700,-551000] 1
88350g (1 curve)	2	2+ 3+ 5+ 19- 31+	2+ 3+ 5+ -1  2 -5 -3 19-
Curve Equation t Generators 88350g1 [1,1,0,-25,1375] 1 [-5:40:1]&[-10:305:8]
88350h (1 curve)	0	2+ 3+ 5+ 19- 31+	2+ 3+ 5+  3  3  3  0 19-
Curve Equation t 88350h1 [1,1,0,-3125,-52875] 1
88350i (1 curve)	0	2+ 3+ 5+ 19- 31+	2+ 3+ 5+ -3  3  3  8 19-
Curve Equation t 88350i1 [1,1,0,320,-20480] 1
88350j (2 curves)	0	2+ 3+ 5+ 19- 31+	2+ 3+ 5+  4  2  0  2 19-
Curve Equation t 88350j1 [1,1,0,-1620076525,-25165115451875] 2 88350j2 [1,1,0,-25940076525,-1608080955451875] 2
88350k (3 curves)	1	2+ 3+ 5+ 19- 31-	2+ 3+ 5+  1  3 -5  0 19-
Curve Equation t Generators 88350k1 [1,1,0,-36732375,83288503125] 1 [169300:4274725:64] 88350k2 [1,1,0,-404607375,-3104328121875] 1 [-10925:115900:1] 88350k3 [1,1,0,-32690603625,-2275019500205625] 1 [-21439212025:10727579600:205379]
88350l (1 curve)	1	2+ 3+ 5+ 19- 31-	2+ 3+ 5+ -1  1  1  4 19-
Curve Equation t Generators 88350l1 [1,1,0,-14995275,-20058919875] 1 [-2755:20140:1]
88350m (2 curves)	1	2+ 3+ 5+ 19- 31-	2+ 3+ 5+  2  0  6 -6 19-
Curve Equation t Generators 88350m1 [1,1,0,-875,-1875] 2 [49:251:1] 88350m2 [1,1,0,-10375,-410375] 2 [-60:55:1]
88350n (2 curves)	1	2+ 3+ 5+ 19- 31-	2+ 3+ 5+  2 -2  4 -2 19-
Curve Equation t Generators 88350n1 [1,1,0,4975,175125] 2 [-5:390:1] 88350n2 [1,1,0,-33025,1733125] 2 [-135:2005:1]
88350o (1 curve)	2	2+ 3+ 5- 19+ 31+	2+ 3+ 5-  1 -3 -5  2 19+
Curve Equation t Generators 88350o1 [1,1,0,-97200,11664000] 1 [135:945:1]&[185:145:1]
88350p (2 curves)	0	2+ 3+ 5- 19+ 31+	2+ 3+ 5-  2  0  2  4 19+
Curve Equation t 88350p1 [1,1,0,-1290,-14400] 2 88350p2 [1,1,0,-19340,-1043250] 2
88350q (1 curve)	1	2+ 3+ 5- 19+ 31-	2+ 3+ 5-  1 -1  5 -2 19+
Curve Equation t Generators 88350q1 [1,1,0,-120,450] 1 [5:0:1]
88350r (1 curve)	1	2+ 3+ 5- 19+ 31-	2+ 3+ 5- -1 -3 -1 -4 19+
Curve Equation t Generators 88350r1 [1,1,0,-10450,480250] 1 [91:496:1]
88350s (1 curve)	1	2+ 3+ 5- 19+ 31-	2+ 3+ 5- -1 -3 -1  6 19+
Curve Equation t Generators 88350s1 [1,1,0,-1246075,-333027875] 1 [-1548420:14710835:1728]
88350t (2 curves)	1	2+ 3+ 5- 19+ 31-	2+ 3+ 5- -3  2  1  7 19+
Curve Equation t Generators 88350t1 [1,1,0,-539450,-152747250] 1 [922310:11172599:1000] 88350t2 [1,1,0,3153675,17362125] 1 [6942:463575:8]
88350u (2 curves)	1	2+ 3+ 5- 19+ 31-	2+ 3+ 5-  4  2 -4 -2 19+
Curve Equation t Generators 88350u1 [1,1,0,-139950,-33223500] 2 [237582180:25971856910:19683] 88350u2 [1,1,0,-2619950,-1632823500] 2 [2900893154751:-317727331331482:239483061]
88350v (1 curve)	0	2+ 3+ 5- 19- 31-	2+ 3+ 5- -1  5 -1  4 19-
Curve Equation t 88350v1 [1,1,0,-4576825,-10776131675] 1
88350w (2 curves)	0	2+ 3+ 5- 19- 31-	2+ 3+ 5-  2  0 -2  2 19-
Curve Equation t 88350w1 [1,1,0,-1735,-41375] 2 88350w2 [1,1,0,-31185,-2132325] 2
88350x (2 curves)	0	2+ 3+ 5- 19- 31-	2+ 3+ 5-  4 -4  6  4 19-
Curve Equation t 88350x1 [1,1,0,-424950,90076500] 2 88350x2 [1,1,0,-6504950,6382876500] 2
88350y (1 curve)	0	2+ 3+ 5- 19- 31-	2+ 3+ 5- -4 -4 -4  7 19-
Curve Equation t 88350y1 [1,1,0,-10450,-1263500] 1
88350z (4 curves)	0	2+ 3- 5+ 19+ 31+	2+ 3- 5+  0  0 -6  2 19+
Curve Equation t 88350z1 [1,0,1,39124,-670102] 2 88350z2 [1,0,1,-160876,-5470102] 4 88350z3 [1,0,1,-1555876,742249898] 2 88350z4 [1,0,1,-1965876,-1059590102] 2
88350ba (2 curves)	0	2+ 3- 5+ 19+ 31+	2+ 3- 5+  0  4  4  4 19+
Curve Equation t 88350ba1 [1,0,1,38468099,-632376064552] 2 88350ba2 [1,0,1,-911531901,-10084876064552] 2
88350bb (1 curve)	0	2+ 3- 5+ 19+ 31+	2+ 3- 5+ -3  1  1  4 19+
Curve Equation t 88350bb1 [1,0,1,-1817826,-970185452] 1
88350bc (1 curve)	0	2+ 3- 5+ 19+ 31+	2+ 3- 5+ -3 -5  1  4 19+
Curve Equation t 88350bc1 [1,0,1,-42182526,79242750448] 1
88350bd (1 curve)	1	2+ 3- 5+ 19+ 31-	2+ 3- 5+ -5 -1 -3  4 19+
Curve Equation t Generators 88350bd1 [1,0,1,-5383026,1665232198] 1 [-60459121522:2159628033739:30959144]
88350be (1 curve)	1	2+ 3- 5+ 19- 31+	2+ 3- 5+  1  3 -1  4 19-
Curve Equation t Generators 88350be1 [1,0,1,-57557201,168073318298] 1 [2628:185674:1]
88350bf (1 curve)	1	2+ 3- 5+ 19- 31+	2+ 3- 5+ -3 -1  3  4 19-
Curve Equation t Generators 88350bf1 [1,0,1,-27401,1583948] 1 [42:-734:1]
88350bg (2 curves)	1	2+ 3- 5+ 19- 31+	2+ 3- 5+  4 -6 -4 -2 19-
Curve Equation t Generators 88350bg1 [1,0,1,-907401,-468544052] 2 [1772:58176:1] 88350bg2 [1,0,1,-16107401,-24879744052] 2 [-2328:2851:1]
88350bh (1 curve)	0	2+ 3- 5+ 19- 31-	2+ 3- 5+  1 -2  5 -3 19-
Curve Equation t 88350bh1 [1,0,1,-30876,2103898] 1
88350bi (1 curve)	0	2+ 3- 5+ 19- 31-	2+ 3- 5+  1  5  1  8 19-
Curve Equation t 88350bi1 [1,0,1,-215663126,-1131690075352] 1
88350bj (2 curves)	0	2+ 3- 5+ 19- 31-	2+ 3- 5+ -2 -4 -2  2 19-
Curve Equation t 88350bj1 [1,0,1,-161501,-24681352] 2 88350bj2 [1,0,1,-313501,29126648] 2
88350bk (2 curves)	1	2+ 3- 5- 19+ 31+	2+ 3- 5-  0 -6  4 -6 19+
Curve Equation t Generators 88350bk1 [1,0,1,15049,1486298] 2 [-42:904:1] 88350bk2 [1,0,1,-139951,17296298] 2 [52:3161:1]
88350bl (1 curve)	1	2+ 3- 5- 19+ 31+	2+ 3- 5- -1  5 -1  2 19+
Curve Equation t Generators 88350bl1 [1,0,1,-496,-4162] 1 [-114:113:8]
88350bm (1 curve)	1	2+ 3- 5- 19+ 31+	2+ 3- 5-  2  2  0  3 19+
Curve Equation t Generators 88350bm1 [1,0,1,-2222301,1275075448] 1 [1331:25326:1]
88350bn (1 curve)	0	2+ 3- 5- 19+ 31-	2+ 3- 5-  1 -6  1  3 19+
Curve Equation t 88350bn1 [1,0,1,-2773826,1777926548] 1
88350bo (2 curves)	0	2+ 3- 5- 19+ 31-	2+ 3- 5-  4  0  4  6 19+
Curve Equation t 88350bo1 [1,0,1,1174,-548452] 2 88350bo2 [1,0,1,-93826,-10808452] 2
88350bp (2 curves)	2	2+ 3- 5- 19- 31+	2+ 3- 5- -2 -4 -2 -4 19-
Curve Equation t Generators 88350bp1 [1,0,1,-8266,-271672] 2 [-62:89:1]&[-44:107:1] 88350bp2 [1,0,1,-26316,1316728] 2 [-178:696:1]&[-1226:11211:8]
88350bq (1 curve)	0	2+ 3- 5- 19- 31+	2+ 3- 5- -3  3 -3  6 19-
Curve Equation t 88350bq1 [1,0,1,-13556701,152493341048] 1
88350br (1 curve)	1	2+ 3- 5- 19- 31-	2+ 3- 5-  1  3 -5  2 19-
Curve Equation t Generators 88350br1 [1,0,1,-1037251,-406692802] 1 [14414606:56781739:12167]
88350bs (2 curves)	1	2+ 3- 5- 19- 31-	2+ 3- 5-  2 -4  6 -4 19-
Curve Equation t Generators 88350bs1 [1,0,1,23549,-5043202] 2 [48628:1335779:64] 88350bs2 [1,0,1,-336451,-69123202] 2 [1071:27736:1]
88350bt (4 curves)	0	2- 3+ 5+ 19+ 31+	2- 3+ 5+  0  0  2 -2 19+
Curve Equation t 88350bt1 [1,1,1,-26569188,-37656024219] 2 88350bt2 [1,1,1,-157641188,731998759781] 4 88350bt3 [1,1,1,82358812,2763358759781] 2 88350bt4 [1,1,1,-2494793188,47961166375781] 2
88350bu (2 curves)	0	2- 3+ 5+ 19+ 31+	2- 3+ 5+  0  0 -4  4 19+
Curve Equation t 88350bu1 [1,1,1,-1438,-28969] 2 88350bu2 [1,1,1,-25188,-1548969] 2
88350bv (1 curve)	0	2- 3+ 5+ 19+ 31+	2- 3+ 5+ -2  2  0 -3 19+
Curve Equation t 88350bv1 [1,1,1,-55557513,159384431031] 1
88350bw (1 curve)	0	2- 3+ 5+ 19+ 31+	2- 3+ 5+  5  5  1  4 19+
Curve Equation t 88350bw1 [1,1,1,-1363808188,19384978474781] 1
88350bx (1 curve)	1	2- 3+ 5+ 19+ 31-	2- 3+ 5+  1  3 -1  0 19+
Curve Equation t Generators 88350bx1 [1,1,1,-1213,-3469] 1 [-5:52:1]
88350by (2 curves)	1	2- 3+ 5+ 19+ 31-	2- 3+ 5+  4 -6  2  6 19+
Curve Equation t Generators 88350by1 [1,1,1,-3813,2469531] 2 [390:12201:8] 88350by2 [1,1,1,-298313,61958531] 2 [2822:5641:8]
88350bz (1 curve)	1	2- 3+ 5+ 19- 31+	2- 3+ 5+  3  3  3 -6 19-
Curve Equation t Generators 88350bz1 [1,1,1,-542268,1219729821] 1 [1309:51833:1]
88350ca (1 curve)	0	2- 3+ 5+ 19- 31-	2- 3+ 5+ -1  3  5 -2 19-
Curve Equation t 88350ca1 [1,1,1,-25931263,-50836600219] 1
88350cb (1 curve)	0	2- 3+ 5+ 19- 31-	2- 3+ 5+ -1 -3 -1  4 19-
Curve Equation t 88350cb1 [1,1,1,-51563,4394531] 1
88350cc (4 curves)	2	2- 3+ 5+ 19- 31-	2- 3+ 5+ -2  0 -2 -6 19-
Curve Equation t Generators 88350cc1 [1,1,1,-916713,334739031] 2 [605:1122:1]&[-345:24872:1] 88350cc2 [1,1,1,-14634713,21542767031] 2 [-35250:197171:8]&[2201:-512:1] 88350cc3 [1,1,1,-6467088,-6136456719] 2 [-1611:11013:1]&[-1585:12417:1] 88350cc4 [1,1,1,-16195088,16665975281] 2 [-4099:121213:1]&[-255:-144023:1]
88350cd (2 curves)	2	2- 3+ 5+ 19- 31-	2- 3+ 5+ -5 -6  1 -3 19-
Curve Equation t Generators 88350cd1 [1,1,1,-16213,1229531] 1 [-151:588:1]&[65:-708:1] 88350cd2 [1,1,1,133412,-20017219] 1 [455:-11853:1]&[149:1713:1]
88350ce (2 curves)	1	2- 3+ 5- 19+ 31+	2- 3+ 5-  0 -6 -4  6 19+
Curve Equation t Generators 88350ce1 [1,1,1,602,12131] 2 [-5:97:1] 88350ce2 [1,1,1,-5598,136131] 2 [-5:407:1]
88350cf (1 curve)	1	2- 3+ 5- 19+ 31+	2- 3+ 5-  1  5  1 -2 19+
Curve Equation t Generators 88350cf1 [1,1,1,-12388,-520219] 1 [-65:157:1]
88350cg (1 curve)	1	2- 3+ 5- 19+ 31+	2- 3+ 5-  3  1 -1 -4 19+
Curve Equation t Generators 88350cg1 [1,1,1,-72713,-7790569] 1 [465:7462:1]
88350ch (1 curve)	2	2- 3+ 5- 19+ 31-	2- 3+ 5- -1 -6 -1 -3 19+
Curve Equation t Generators 88350ch1 [1,1,1,-110953,14179031] 1 [-385:312:1]&[191:-120:1]
88350ci (2 curves)	2	2- 3+ 5- 19+ 31-	2- 3+ 5- -4  0 -4 -6 19+
Curve Equation t Generators 88350ci1 [1,1,1,47,-4369] 2 [19:52:1]&[25:102:1] 88350ci2 [1,1,1,-3753,-87969] 2 [-39:50:1]&[101:708:1]
88350cj (1 curve)	0	2- 3+ 5- 19- 31+	2- 3+ 5- -1  3  1 -4 19-
Curve Equation t 88350cj1 [1,1,1,-2302288,1343665631] 1
88350ck (2 curves)	0	2- 3+ 5- 19- 31+	2- 3+ 5-  2 -4  2  4 19-
Curve Equation t 88350ck1 [1,1,1,-206638,-33958969] 2 88350ck2 [1,1,1,-657888,164591031] 2
88350cl (2 curves)	1	2- 3+ 5- 19- 31-	2- 3+ 5- -2 -4 -6  4 19-
Curve Equation t Generators 88350cl1 [1,1,1,942,-39969] 2 [45:-333:1] 88350cl2 [1,1,1,-13458,-558369] 2 [-59:-157:1]
88350cm (1 curve)	1	2- 3- 5+ 19+ 31+	2- 3- 5+  1 -5 -5  4 19+
Curve Equation t Generators 88350cm1 [1,0,0,-98813,11365617] 1 [-158:4879:1]
88350cn (1 curve)	1	2- 3- 5+ 19+ 31+	2- 3- 5+ -1 -3  5 -2 19+
Curve Equation t Generators 88350cn1 [1,0,0,-3888,93312] 1 [18:-180:1]
88350co (1 curve)	0	2- 3- 5+ 19+ 31-	2- 3- 5+  1 -3  1  4 19+
Curve Equation t 88350co1 [1,0,0,-418,3842] 1
88350cp (2 curves)	0	2- 3- 5+ 19+ 31-	2- 3- 5+  4 -6  0  2 19+
Curve Equation t 88350cp1 [1,0,0,-228488,-42147408] 2 88350cp2 [1,0,0,-3657988,-2693150908] 2
88350cq (2 curves)	2	2- 3- 5+ 19+ 31-	2- 3- 5+ -4 -2 -4 -6 19+
Curve Equation t Generators 88350cq1 [1,0,0,1637,1099217] 2 [-58:-871:1]&[-88:569:1] 88350cq2 [1,0,0,-150363,21923217] 2 [312:2169:1]&[-432:2727:1]
88350cr (1 curve)	1	2- 3- 5+ 19- 31-	2- 3- 5+  1  5  1 -4 19-
Curve Equation t Generators 88350cr1 [1,0,0,-114420638,-1346787618108] 1 [48988:10492690:1]
88350cs (1 curve)	1	2- 3- 5+ 19- 31-	2- 3- 5+  4 -4  4 -7 19-
Curve Equation t Generators 88350cs1 [1,0,0,-418,-10108] 1 [38:152:1]
88350ct (2 curves)	0	2- 3- 5- 19+ 31+	2- 3- 5- -2  0 -2 -4 19+
Curve Equation t 88350ct1 [1,0,0,-32263,-1735483] 2 88350ct2 [1,0,0,-483513,-129439233] 2
88350cu (1 curve)	0	2- 3- 5- 19+ 31+	2- 3- 5-  3  5  3 -4 19+
Curve Equation t 88350cu1 [1,0,0,7864194612,63655564981392] 1
88350cv (1 curve)	1	2- 3- 5- 19+ 31-	2- 3- 5-  1 -3  1 -6 19+
Curve Equation t Generators 88350cv1 [1,0,0,-49843,-2664223] 1 [-148:1289:1]
88350cw (1 curve)	1	2- 3- 5- 19+ 31-	2- 3- 5- -1 -1 -5  2 19+
Curve Equation t Generators 88350cw1 [1,0,0,-3013,62267] 1 [166:667:8]
88350cx (2 curves)	1	2- 3- 5- 19+ 31-	2- 3- 5-  3  2 -1 -7 19+
Curve Equation t Generators 88350cx1 [1,0,0,-21578,-1221978] 1 [142911270348:-786808498799:788889024] 88350cx2 [1,0,0,126147,138897] 5 [1992:89319:1]
88350cy (2 curves)	1	2- 3- 5- 19+ 31-	2- 3- 5- -4  2  4  2 19+
Curve Equation t Generators 88350cy1 [1,0,0,-5598,-265788] 2 [132:1074:1] 88350cy2 [1,0,0,-104798,-13062588] 2 [-188:154:1]
88350cz (1 curve)	1	2- 3- 5- 19- 31+	2- 3- 5- -1 -3 -5  0 19-
Curve Equation t Generators 88350cz1 [1,0,0,-388,-4408] 1 [26:44:1]
88350da (1 curve)	1	2- 3- 5- 19- 31+	2- 3- 5-  3  3 -3 -8 19-
Curve Equation t Generators 88350da1 [1,0,0,7987,-2575983] 1 [802:22399:1]
88350db (2 curves)	0	2- 3- 5- 19- 31-	2- 3- 5- -2  0  2 -2 19-
Curve Equation t 88350db1 [1,0,0,-43388,-5085108] 2 88350db2 [1,0,0,-779638,-264981358] 2
88350dc (2 curves)	2	2- 3- 5- 19- 31-	2- 3- 5- -4 -4 -6 -4 19-
Curve Equation t Generators 88350dc1 [1,0,0,-16998,720612] 2 [-1146:4335:8]&[12:-726:1] 88350dc2 [1,0,0,-260198,51063012] 2 [316:-806:1]&[-332:10210:1]

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