Cremona's table of elliptic curves

116850 = 2 · 3 · 5² · 19 · 41

Class	r	Atkin-Lehner	Eigenvalues
116850a (1 curve)	1	2+ 3+ 5+ 19+ 41+	2+ 3+ 5+  1  1 -3  7 19+
Curve Equation t Generators 116850a1 [1,1,0,-17854500,-29055870000] 1 [25353079277214155055:1635070011742784284485:3500798916116321]
116850b (1 curve)	1	2+ 3+ 5+ 19+ 41+	2+ 3+ 5+  1 -6  3  6 19+
Curve Equation t Generators 116850b1 [1,1,0,-76630,8132980] 1 [159:-89:1]
116850c (2 curves)	1	2+ 3+ 5+ 19+ 41+	2+ 3+ 5+ -2 -4  6  6 19+
Curve Equation t Generators 116850c1 [1,1,0,-1200,-16500] 2 [101:901:1] 116850c2 [1,1,0,-950,-23250] 2 [49:201:1]
116850d (1 curve)	1	2+ 3+ 5+ 19+ 41+	2+ 3+ 5+  4 -1  0  0 19+
Curve Equation t Generators 116850d1 [1,1,0,-17575,1043125] 1 [25:775:1]
116850e (1 curve)	1	2+ 3+ 5+ 19+ 41+	2+ 3+ 5+  4 -3  6  0 19+
Curve Equation t Generators 116850e1 [1,1,0,2341550,2173736500] 1 [25839411:1728741209:6859]
116850f (1 curve)	0	2+ 3+ 5+ 19+ 41-	2+ 3+ 5+ -1 -1  3  3 19+
Curve Equation t 116850f1 [1,1,0,-63486900,-194730318000] 1
116850g (2 curves)	0	2+ 3+ 5+ 19+ 41-	2+ 3+ 5+  2  2 -4  2 19+
Curve Equation t 116850g1 [1,1,0,-82000,10144000] 1 116850g2 [1,1,0,-89500,-789123500] 1
116850h (2 curves)	0	2+ 3+ 5+ 19- 41+	2+ 3+ 5+  1  0  1  0 19-
Curve Equation t 116850h1 [1,1,0,18465,-1304595] 1 116850h2 [1,1,0,-601185,-180427185] 1
116850i (1 curve)	0	2+ 3+ 5+ 19- 41+	2+ 3+ 5+  2 -2  0  2 19-
Curve Equation t 116850i1 [1,1,0,-46241875,122409902125] 1
116850j (2 curves)	0	2+ 3+ 5+ 19- 41+	2+ 3+ 5+ -4  0  4 -2 19-
Curve Equation t 116850j1 [1,1,0,-1725000,-871960500] 2 116850j2 [1,1,0,-1304750,-1306919250] 2
116850k (6 curves)	1	2+ 3+ 5+ 19- 41-	2+ 3+ 5+  0 -4  2  6 19-
Curve Equation t Generators 116850k1 [1,1,0,-2377456000,-35886872576000] 2 [304590650717545:22961364421660165:5277112021] 116850k2 [1,1,0,-35931888000,-2621490739200000] 4 [885143270874432062472820235325:-1413380485652655732767186152857975:345417058098686045120921] 116850k3 [1,1,0,-33832688000,-2941238784000000] 2 [278516489976790400:258150998889229372800:309052889081] 116850k4 [1,1,0,-574902000000,-167779719069696000] 4 [5074314871516121102603173199267881375741947826596515582105:-7803592036059269684043773540823987829992045924939015711455115:1945278383185562874414555033671356172043485488353349] 116850k5 [1,1,0,-574893792000,-167784749449200000] 2 [4694190476914308054468508149445214820067084145573472084573281890174835003313566231548448197763488263854770465635016675:-7219016240024027886563897162775804851015592057855695122462503280252717849377867730633392195728659880893232630104257938025:1799555088509773524098127357038318614777590707943857262138004562455818981912543930916099661525443456013054932871] 116850k6 [1,1,0,-9198432000000,-10737890522439696000] 2 [178091367981306178319733148896663607069380835898248790061681144958769477094124361681246059645003382139565234341515:-84461185398944505493533588686543735814595668100734713617530242023830975416198836465162555792336224457815358045346145:49418513381600193622554812874314058096281981759743580442585960997483973401665538146561854007216627490445071]
116850l (1 curve)	1	2+ 3+ 5+ 19- 41-	2+ 3+ 5+  2 -1 -2  4 19-
Curve Equation t Generators 116850l1 [1,1,0,-193725,85384125] 1 [945:26865:1]
116850m (4 curves)	1	2+ 3+ 5+ 19- 41-	2+ 3+ 5+  4 -4 -2  2 19-
Curve Equation t Generators 116850m1 [1,1,0,-282400,57472000] 2 [50992159680:-91025731040:156590819] 116850m2 [1,1,0,-410400,0] 4 [-4802:46599:8] 116850m3 [1,1,0,1641600,2052000] 2 [78556702:-11162021653:941192] 116850m4 [1,1,0,-4510400,-3677700000] 2 [-13431462:34183269:10648]
116850n (1 curve)	0	2+ 3+ 5- 19+ 41+	2+ 3+ 5-  1  3  1 -1 19+
Curve Equation t 116850n1 [1,1,0,-1825,-39125] 1
116850o (1 curve)	1	2+ 3+ 5- 19+ 41-	2+ 3+ 5-  1  0  2  1 19+
Curve Equation t Generators 116850o1 [1,1,0,-200,-6000] 1 [60:420:1]
116850p (2 curves)	1	2+ 3+ 5- 19+ 41-	2+ 3+ 5- -2 -2 -2  6 19+
Curve Equation t Generators 116850p1 [1,1,0,-1354660,1234157200] 2 [8760:809060:1] 116850p2 [1,1,0,-27418860,55213115400] 2 [24982:46713:8]
116850q (1 curve)	1	2+ 3+ 5- 19- 41+	2+ 3+ 5-  1  5 -1  3 19-
Curve Equation t Generators 116850q1 [1,1,0,5550,-103500] 1 [885:25995:1]
116850r (2 curves)	1	2+ 3+ 5- 19- 41+	2+ 3+ 5-  2 -4 -2  0 19-
Curve Equation t Generators 116850r1 [1,1,0,29175,-15442875] 2 [6335:501270:1] 116850r2 [1,1,0,-780825,-254392875] 2 [1110:15195:1]
116850s (2 curves)	1	2+ 3+ 5- 19- 41+	2+ 3+ 5-  2 -6  2 -2 19-
Curve Equation t Generators 116850s1 [1,1,0,-85,330925] 2 [101:1118:1] 116850s2 [1,1,0,-72285,7334325] 2 [-165:3930:1]
116850t (2 curves)	2	2+ 3+ 5- 19- 41-	2+ 3+ 5- -3 -3  1 -3 19-
Curve Equation t Generators 116850t1 [1,1,0,38675,-13044125] 1 [385:-7880:1]&[6885:568120:1] 116850t2 [1,1,0,-4855700,4220334000] 1 [1085:-15730:1]&[1585:21770:1]
116850u (1 curve)	0	2+ 3- 5+ 19+ 41+	2+ 3- 5+  0  3  4  8 19+
Curve Equation t 116850u1 [1,0,1,-7876,-270352] 1
116850v (1 curve)	0	2+ 3- 5+ 19+ 41+	2+ 3- 5+  2 -1  2 -6 19+
Curve Equation t 116850v1 [1,0,1,2990924,-931546702] 1
116850w (1 curve)	0	2+ 3- 5+ 19+ 41+	2+ 3- 5+  2  2 -4  6 19+
Curve Equation t 116850w1 [1,0,1,-83986001,-297652803352] 1
116850x (1 curve)	0	2+ 3- 5+ 19+ 41+	2+ 3- 5+  2  5  2  0 19+
Curve Equation t 116850x1 [1,0,1,-5251,162398] 1
116850y (1 curve)	2	2+ 3- 5+ 19+ 41+	2+ 3- 5+ -3  0 -7  0 19+
Curve Equation t Generators 116850y1 [1,0,1,74,968] 1 [-2:29:1]&[16:71:1]
116850z (1 curve)	0	2+ 3- 5+ 19+ 41+	2+ 3- 5+ -3 -6 -1 -2 19+
Curve Equation t 116850z1 [1,0,1,103674049,-4350118606702] 1
116850ba (2 curves)	0	2+ 3- 5+ 19+ 41+	2+ 3- 5+  4 -4 -2 -4 19+
Curve Equation t 116850ba1 [1,0,1,-1043026,-376305052] 2 116850ba2 [1,0,1,-3667026,2279182948] 2
116850bb (2 curves)	1	2+ 3- 5+ 19+ 41-	2+ 3- 5+  0  0 -4 -4 19+
Curve Equation t Generators 116850bb1 [1,0,1,-54651,-4735802] 2 [-154:261:1] 116850bb2 [1,0,1,27349,-17691802] 2 [507:-11504:1]
116850bc (6 curves)	1	2+ 3- 5+ 19+ 41-	2+ 3- 5+  0  4 -6  6 19+
Curve Equation t Generators 116850bc1 [1,0,1,-1249751,537643898] 2 [1427192:-1094826:2197] 116850bc2 [1,0,1,-1281751,508651898] 4 [438:5377:1] 116850bc3 [1,0,1,1568249,2452351898] 2 [4140234:-459704888:343] 116850bc4 [1,0,1,-4643751,-3290408102] 4 [-37374:613768:27] 116850bc5 [1,0,1,8168749,-18229783102] 2 [13917:1663666:1] 116850bc6 [1,0,1,-71248251,-231477425102] 2 [-3201084786:258061831:658503]
116850bd (1 curve)	1	2+ 3- 5+ 19- 41+	2+ 3- 5+  1  5  1 -7 19-
Curve Equation t Generators 116850bd1 [1,0,1,224,644948] 1 [-68:596:1]
116850be (1 curve)	1	2+ 3- 5+ 19- 41+	2+ 3- 5+  2 -3 -6  1 19-
Curve Equation t Generators 116850be1 [1,0,1,-55026,-5287292] 1 [461:-8439:1]
116850bf (1 curve)	1	2+ 3- 5+ 19- 41+	2+ 3- 5+ -2 -2  4 -6 19-
Curve Equation t Generators 116850bf1 [1,0,1,224,3698] 1 [7:-79:1]
116850bg (2 curves)	1	2+ 3- 5+ 19- 41+	2+ 3- 5+ -2 -4 -2  2 19-
Curve Equation t Generators 116850bg1 [1,0,1,-951,6298] 2 [88:734:1] 116850bg2 [1,0,1,3049,46298] 2 [-4:186:1]
116850bh (1 curve)	1	2+ 3- 5+ 19- 41+	2+ 3- 5+  4 -5 -2  0 19-
Curve Equation t Generators 116850bh1 [1,0,1,23819,2160128] 1 [-32:1184:1]
116850bi (1 curve)	0	2+ 3- 5+ 19- 41-	2+ 3- 5+  2  3  6  4 19-
Curve Equation t 116850bi1 [1,0,1,492285249,-33891658277102] 1
116850bj (1 curve)	0	2+ 3- 5+ 19- 41-	2+ 3- 5+  2  6  0 -2 19-
Curve Equation t 116850bj1 [1,0,1,-7025876,-7168598602] 1
116850bk (1 curve)	0	2+ 3- 5+ 19- 41-	2+ 3- 5+ -3  1 -1  7 19-
Curve Equation t 116850bk1 [1,0,1,-17126,-897352] 1
116850bl (1 curve)	0	2+ 3- 5+ 19- 41-	2+ 3- 5+  5 -3  3 -5 19-
Curve Equation t 116850bl1 [1,0,1,-3895001,2958613148] 1
116850bm (1 curve)	1	2+ 3- 5- 19+ 41+	2+ 3- 5-  2 -3  4  2 19+
Curve Equation t Generators 116850bm1 [1,0,1,-184076,30388298] 1 [302:1386:1]
116850bn (1 curve)	1	2+ 3- 5- 19+ 41+	2+ 3- 5- -3 -1 -7  3 19+
Curve Equation t Generators 116850bn1 [1,0,1,-2267451,1314013798] 1 [902:1236:1]
116850bo (1 curve)	0	2+ 3- 5- 19+ 41-	2+ 3- 5-  5 -5 -1 -3 19+
Curve Equation t 116850bo1 [1,0,1,-113076,14661298] 1
116850bp (1 curve)	1	2+ 3- 5- 19- 41-	2+ 3- 5- -5  1  3 -7 19-
Curve Equation t Generators 116850bp1 [1,0,1,159084,34111378] 1 [-148:2781:1]
116850bq (2 curves)	2	2- 3+ 5+ 19+ 41+	2- 3+ 5+ -2  0 -4 -2 19+
Curve Equation t Generators 116850bq1 [1,1,1,-67713,-6795969] 2 [-155:152:1]&[-149:188:1] 116850bq2 [1,1,1,-42713,-11845969] 2 [345:3652:1]&[545:11002:1]
116850br (1 curve)	2	2- 3+ 5+ 19+ 41+	2- 3+ 5+ -2 -3 -4 -2 19+
Curve Equation t Generators 116850br1 [1,1,1,-7363,240161] 1 [-29:670:1]&[19:318:1]
116850bs (2 curves)	1	2- 3+ 5+ 19- 41+	2- 3+ 5+  2  0  0  6 19-
Curve Equation t Generators 116850bs1 [1,1,1,-5613088,5116233281] 2 [1325:2037:1] 116850bs2 [1,1,1,-5513088,5307433281] 2 [969:-30087:1]
116850bt (1 curve)	1	2- 3+ 5+ 19- 41+	2- 3+ 5+ -2 -1  6 -8 19-
Curve Equation t Generators 116850bt1 [1,1,1,-4788,8225781] 1 [25:-2863:1]
116850bu (1 curve)	1	2- 3+ 5+ 19- 41+	2- 3+ 5+ -4  0 -2  0 19-
Curve Equation t Generators 116850bu1 [1,1,1,-4188,-225219] 1 [165:-1983:1]
116850bv (2 curves)	1	2- 3+ 5+ 19- 41+	2- 3+ 5+ -5  3  1 -3 19-
Curve Equation t Generators 116850bv1 [1,1,1,-5188,158531] 1 [70:2661:8] 116850bv2 [1,1,1,34187,-471469] 1 [65:1392:1]
116850bw (1 curve)	0	2- 3+ 5+ 19- 41-	2- 3+ 5+  0 -4 -2 -4 19-
Curve Equation t 116850bw1 [1,1,1,-3634835463,-84354958809219] 1
116850bx (2 curves)	2	2- 3+ 5+ 19- 41-	2- 3+ 5+  1 -3 -5 -3 19-
Curve Equation t Generators 116850bx1 [1,1,1,-74838,9144531] 1 [-299:2363:1]&[-285:2867:1] 116850bx2 [1,1,1,524787,-50633469] 1 [295:11252:1]&[105:2322:1]
116850by (1 curve)	1	2- 3+ 5- 19+ 41+	2- 3+ 5- -2 -1 -2  6 19+
Curve Equation t Generators 116850by1 [1,1,1,119637,-7404519] 1 [81:1640:1]
116850bz (1 curve)	1	2- 3+ 5- 19+ 41+	2- 3+ 5-  3  0  7  0 19+
Curve Equation t Generators 116850bz1 [1,1,1,1862,121031] 1 [85:-993:1]
116850ca (1 curve)	1	2- 3+ 5- 19+ 41+	2- 3+ 5-  3 -1  7 -3 19+
Curve Equation t Generators 116850ca1 [1,1,1,-90698,10475831] 1 [315:3487:1]
116850cb (1 curve)	1	2- 3+ 5- 19+ 41+	2- 3+ 5-  3 -6  1  2 19+
Curve Equation t Generators 116850cb1 [1,1,1,4146962,-34799290069] 1 [254415:24633769:27]
116850cc (1 curve)	2	2- 3+ 5- 19+ 41-	2- 3+ 5- -5 -5  1  3 19+
Curve Equation t Generators 116850cc1 [1,1,1,-4523,115481] 1 [35:22:1]&[-45:502:1]
116850cd (1 curve)	0	2- 3+ 5- 19- 41+	2- 3+ 5- -2 -3  6 -1 19-
Curve Equation t 116850cd1 [1,1,1,-1375638,-660911469] 1
116850ce (1 curve)	2	2- 3+ 5- 19- 41+	2- 3+ 5- -4 -5  2  0 19-
Curve Equation t Generators 116850ce1 [1,1,1,595487,270016031] 1 [3735:231832:1]&[-365:2232:1]
116850cf (1 curve)	1	2- 3+ 5- 19- 41-	2- 3+ 5-  5  1 -3  7 19-
Curve Equation t Generators 116850cf1 [1,1,1,3977112,4263922281] 1 [685:-85843:1]
116850cg (1 curve)	1	2- 3- 5+ 19+ 41+	2- 3- 5+  1 -1 -1 -5 19+
Curve Equation t Generators 116850cg1 [1,0,0,12662,736292] 1 [-28:614:1]
116850ch (1 curve)	1	2- 3- 5+ 19+ 41+	2- 3- 5+  3  3 -7 -5 19+
Curve Equation t Generators 116850ch1 [1,0,0,-88,-3208] 1 [22:64:1]
116850ci (1 curve)	0	2- 3- 5+ 19+ 41-	2- 3- 5+ -1  0 -2 -1 19+
Curve Equation t 116850ci1 [1,0,0,-8,-48] 1
116850cj (2 curves)	1	2- 3- 5+ 19- 41-	2- 3- 5+ -4 -4 -4 -2 19-
Curve Equation t Generators 116850cj1 [1,0,0,-6019763,2682466017] 2 [-2162:75865:1] 116850cj2 [1,0,0,20876237,20084178017] 2 [-112:133265:1]
116850ck (1 curve)	0	2- 3- 5- 19+ 41+	2- 3- 5- -1  3 -1  1 19+
Curve Equation t 116850ck1 [1,0,0,-73,-313] 1
116850cl (1 curve)	2	2- 3- 5- 19+ 41+	2- 3- 5- -1 -6 -3 -6 19+
Curve Equation t Generators 116850cl1 [1,0,0,-1915763,1020454017] 1 [778:-1415:1]&[-248:38599:1]
116850cm (1 curve)	2	2- 3- 5- 19+ 41+	2- 3- 5- -4 -3 -6  0 19+
Curve Equation t Generators 116850cm1 [1,0,0,93662,17389892] 1 [-148:614:1]&[-124:2030:1]
116850cn (2 curves)	1	2- 3- 5- 19+ 41-	2- 3- 5-  2 -2  2 -6 19+
Curve Equation t Generators 116850cn1 [1,0,0,-33866513,154337383017] 2 [4852:320449:1] 116850cn2 [1,0,0,-685471513,6903010368017] 2 [19316:-942121:1]
116850co (2 curves)	1	2- 3- 5- 19- 41+	2- 3- 5- -1  0 -1  0 19-
Curve Equation t Generators 116850co1 [1,0,0,461612,-163997608] 3 [302:1574:1] 116850co2 [1,0,0,-15029638,-22523338858] 1 [37894:877915:8]
116850cp (1 curve)	1	2- 3- 5- 19- 41+	2- 3- 5- -1  5  1 -3 19-
Curve Equation t Generators 116850cp1 [1,0,0,222,-828] 1 [12:-66:1]
116850cq (2 curves)	1	2- 3- 5- 19- 41+	2- 3- 5- -2 -4  2  0 19-
Curve Equation t Generators 116850cq1 [1,0,0,1167,-123543] 2 [66:459:1] 116850cq2 [1,0,0,-31233,-2035143] 2 [-108:339:1]
116850cr (2 curves)	1	2- 3- 5- 19- 41+	2- 3- 5- -2 -6 -2  2 19-
Curve Equation t Generators 116850cr1 [1,0,0,-2138,41369892] 2 [-272:4810:1] 116850cr2 [1,0,0,-1807138,920404892] 2 [602:6824:1]
116850cs (2 curves)	0	2- 3- 5- 19- 41-	2- 3- 5-  3 -3 -1  3 19-
Curve Equation t 116850cs1 [1,0,0,1547,-104353] 1 116850cs2 [1,0,0,-194228,33762672] 5

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