Cremona's table of elliptic curves

113050 = 2 · 5² · 7 · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
113050a (1 curve)	1	2+ 5+ 7+ 17+ 19+	2+  1 5+ 7+  3  1 17+ 19+
Curve Equation t Generators 113050a1 [1,0,1,-8646,230808] 1 [2145:35857:125]
113050b (1 curve)	1	2+ 5+ 7+ 17+ 19+	2+ -2 5+ 7+  0 -2 17+ 19+
Curve Equation t Generators 113050b1 [1,0,1,-11901,498698] 1 [62:-44:1]
113050c (2 curves)	1	2+ 5+ 7+ 17+ 19+	2+ -2 5+ 7+ -4 -4 17+ 19+
Curve Equation t Generators 113050c1 [1,0,1,-7526,227448] 2 [122:-1124:1] 113050c2 [1,0,1,9474,1111448] 2 [82:-1604:1]
113050d (1 curve)	0	2+ 5+ 7+ 17+ 19-	2+  0 5+ 7+ -2  5 17+ 19-
Curve Equation t 113050d1 [1,-1,0,-42617,14444541] 1
113050e (4 curves)	0	2+ 5+ 7+ 17+ 19-	2+  0 5+ 7+  4  2 17+ 19-
Curve Equation t 113050e1 [1,-1,0,-895517,-178740859] 2 113050e2 [1,-1,0,-12447517,-16894484859] 4 113050e3 [1,-1,0,-10585517,-22124842859] 2 113050e4 [1,-1,0,-199141517,-1081610366859] 2
113050f (1 curve)	0	2+ 5+ 7+ 17+ 19-	2+  3 5+ 7+ -5 -1 17+ 19-
Curve Equation t 113050f1 [1,-1,0,-607867,-135425179] 1
113050g (1 curve)	0	2+ 5+ 7+ 17- 19+	2+  2 5+ 7+ -1  2 17- 19+
Curve Equation t 113050g1 [1,1,0,-513250,-453646543500] 1
113050h (2 curves)	0	2+ 5+ 7+ 17- 19+	2+ -2 5+ 7+  0  6 17- 19+
Curve Equation t 113050h1 [1,0,1,-40665976,-66839913402] 2 113050h2 [1,0,1,114982024,-455337321402] 2
113050i (1 curve)	1	2+ 5+ 7+ 17- 19-	2+  0 5+ 7+ -2 -4 17- 19-
Curve Equation t Generators 113050i1 [1,-1,0,-16142,-854234] 1 [279:3898:1]
113050j (2 curves)	1	2+ 5+ 7+ 17- 19-	2+ -1 5+ 7+  0  4 17- 19-
Curve Equation t Generators 113050j1 [1,1,0,-153450,23036500] 1 [13684:8667:64] 113050j2 [1,1,0,-653450,-181863500] 1 [-351:2275:1]
113050k (2 curves)	1	2+ 5+ 7+ 17- 19-	2+ -1 5+ 7+  3 -2 17- 19-
Curve Equation t Generators 113050k1 [1,1,0,-632900,193762000] 1 [2710:32945:8] 113050k2 [1,1,0,886100,911465000] 1 [-125:28325:1]
113050l (2 curves)	1	2+ 5+ 7+ 17- 19-	2+  2 5+ 7+  0 -2 17- 19-
Curve Equation t Generators 113050l1 [1,1,0,-1528375,811903125] 1 [60106076340:862335490155:92345408] 113050l2 [1,1,0,10071625,-2452496875] 1 [176020:13647565:64]
113050m (4 curves)	1	2+ 5+ 7+ 17- 19-	2+  2 5+ 7+  0  4 17- 19-
Curve Equation t Generators 113050m1 [1,1,0,-123900,16730000] 2 [-160:5780:1] 113050m2 [1,1,0,-106900,21507000] 2 [1095:34365:1] 113050m3 [1,1,0,-342400,-55840500] 2 [-270:4260:1] 113050m4 [1,1,0,885850,-364131250] 2 [66405:3455860:27]
113050n (2 curves)	1	2+ 5+ 7+ 17- 19-	2+ -2 5+ 7+ -2 -2 17- 19-
Curve Equation t Generators 113050n1 [1,0,1,-27276,-1497802] 2 [-104:517:1] 113050n2 [1,0,1,-117526,14025198] 2 [352:-4214:1]
113050o (1 curve)	1	2+ 5+ 7+ 17- 19-	2+ -3 5+ 7+  4  2 17- 19-
Curve Equation t Generators 113050o1 [1,-1,0,16583,3408241] 1 [308:-6291:1]
113050p (4 curves)	0	2+ 5+ 7- 17+ 19+	2+  0 5+ 7-  0  2 17+ 19+
Curve Equation t 113050p1 [1,-1,0,-6100067,3867048341] 2 113050p2 [1,-1,0,-38868067,-90340951659] 4 113050p3 [1,-1,0,14443933,-319209367659] 2 113050p4 [1,-1,0,-616468067,-5891177751659] 2
113050q (1 curve)	0	2+ 5+ 7- 17+ 19+	2+  2 5+ 7- -2  7 17+ 19+
Curve Equation t 113050q1 [1,1,0,270,-2380] 1
113050r (1 curve)	0	2+ 5+ 7- 17+ 19+	2+  3 5+ 7- -3 -1 17+ 19+
Curve Equation t 113050r1 [1,-1,0,-30742,2068916] 1
113050s (1 curve)	1	2+ 5+ 7- 17+ 19-	2+  1 5+ 7- -3  2 17+ 19-
Curve Equation t Generators 113050s1 [1,0,1,-1,-47852] 1 [62:406:1]
113050t (1 curve)	1	2+ 5+ 7- 17+ 19-	2+ -1 5+ 7- -4 -6 17+ 19-
Curve Equation t Generators 113050t1 [1,1,0,-2100,-38000] 1 [64:276:1]
113050u (1 curve)	1	2+ 5+ 7- 17+ 19-	2+  2 5+ 7- -4  6 17+ 19-
Curve Equation t Generators 113050u1 [1,1,0,-1000750,-793762500] 1 [7381815:1078050105:343]
113050v (1 curve)	1	2+ 5+ 7- 17- 19+	2+  0 5+ 7- -6 -4 17- 19+
Curve Equation t Generators 113050v1 [1,-1,0,-181757567,-1054880796659] 1 [31179:4841098:1]
113050w (1 curve)	1	2+ 5+ 7- 17- 19+	2+ -1 5+ 7-  5  0 17- 19+
Curve Equation t Generators 113050w1 [1,1,0,-3250,72500] 1 [25:-100:1]
113050x (1 curve)	1	2+ 5+ 7- 17- 19+	2+  2 5+ 7-  5 -2 17- 19+
Curve Equation t Generators 113050x1 [1,1,0,-5212900,-4583358000] 1 [115435080:6701258460:24389]
113050y (1 curve)	0	2+ 5+ 7- 17- 19-	2+  1 5+ 7-  3  0 17- 19-
Curve Equation t 113050y1 [1,0,1,2099,-46802] 1
113050z (1 curve)	0	2+ 5+ 7- 17- 19-	2+  1 5+ 7-  4  2 17- 19-
Curve Equation t 113050z1 [1,0,1,-33086,-2234192] 1
113050ba (1 curve)	2	2+ 5- 7+ 17+ 19+	2+  1 5- 7+  3 -4 17+ 19+
Curve Equation t Generators 113050ba1 [1,0,1,-571,6988] 1 [46:473:8]&[92:811:1]
113050bb (1 curve)	0	2+ 5- 7+ 17+ 19+	2+  1 5- 7+ -5  2 17+ 19+
Curve Equation t 113050bb1 [1,0,1,-300451,192904798] 1
113050bc (1 curve)	0	2+ 5- 7+ 17+ 19+	2+  2 5- 7+ -2 -1 17+ 19+
Curve Equation t 113050bc1 [1,1,0,-1620950,794316500] 1
113050bd (1 curve)	1	2+ 5- 7+ 17+ 19-	2+ -2 5- 7+  5  0 17+ 19-
Curve Equation t Generators 113050bd1 [1,0,1,57544,-2706342] 1 [177:-3699:1]
113050be (1 curve)	1	2+ 5- 7+ 17+ 19-	2+  3 5- 7+  5  0 17+ 19-
Curve Equation t Generators 113050be1 [1,-1,0,-2820697,-1822701139] 1 [9849861525006460881865075761:302228966039357598468277486868:4041301282546476180583287]
113050bf (1 curve)	1	2+ 5- 7+ 17- 19+	2+  1 5- 7+  1 -3 17- 19+
Curve Equation t Generators 113050bf1 [1,0,1,-9801,-368952] 1 [-54:86:1]
113050bg (1 curve)	1	2+ 5- 7+ 17- 19+	2+  1 5- 7+  1  5 17- 19+
Curve Equation t Generators 113050bg1 [1,0,1,-2326951,-1366439702] 1 [-2416862:1208759:2744]
113050bh (1 curve)	1	2+ 5- 7+ 17- 19+	2+ -2 5- 7+ -5 -4 17- 19+
Curve Equation t Generators 113050bh1 [1,0,1,-11701,-653952] 1 [427:8286:1]
113050bi (1 curve)	1	2+ 5- 7- 17+ 19+	2+ -1 5- 7-  0 -4 17+ 19+
Curve Equation t Generators 113050bi1 [1,1,0,-325,875] 1 [1:23:1]
113050bj (2 curves)	1	2+ 5- 7- 17+ 19+	2+ -2 5- 7- -6 -2 17+ 19+
Curve Equation t Generators 113050bj1 [1,0,1,-3826,-163452] 2 [93:489:1] 113050bj2 [1,0,1,-73826,-7723452] 2 [-159:117:1]
113050bk (1 curve)	1	2+ 5- 7- 17+ 19+	2+ -3 5- 7-  3  2 17+ 19+
Curve Equation t Generators 113050bk1 [1,-1,0,-14722,-924614] 1 [159:778:1]
113050bl (2 curves)	0	2+ 5- 7- 17+ 19-	2+  0 5- 7-  4 -4 17+ 19-
Curve Equation t 113050bl1 [1,-1,0,-497477,-105096619] 2 113050bl2 [1,-1,0,-7460677,-7841211819] 2
113050bm (1 curve)	0	2+ 5- 7- 17+ 19-	2+ -1 5- 7-  1 -6 17+ 19-
Curve Equation t 113050bm1 [1,1,0,-32700,-6146000] 1
113050bn (2 curves)	1	2+ 5- 7- 17- 19-	2+  1 5- 7-  3  5 17- 19-
Curve Equation t Generators 113050bn1 [1,0,1,-43151,-2877902] 3 [-158:121:1] 113050bn2 [1,0,1,-3330526,-2339746352] 1 [-227622:113839:216]
113050bo (1 curve)	1	2+ 5- 7- 17- 19-	2+  1 5- 7- -5  0 17- 19-
Curve Equation t Generators 113050bo1 [1,0,1,-113326,15118048] 1 [152:-1264:1]
113050bp (1 curve)	1	2+ 5- 7- 17- 19-	2+  1 5- 7- -5  5 17- 19-
Curve Equation t Generators 113050bp1 [1,0,1,-1530021397076,-728441107833110702] 1 [-408340974076:204491187282:571787]
113050bq (1 curve)	0	2- 5+ 7+ 17+ 19+	2-  1 5+ 7+ -4  2 17+ 19+
Curve Equation t 113050bq1 [1,0,0,14337,-22183] 1
113050br (1 curve)	0	2- 5+ 7+ 17+ 19+	2-  1 5+ 7+  5 -4 17+ 19+
Curve Equation t 113050br1 [1,0,0,-96688,-14448008] 1
113050bs (1 curve)	1	2- 5+ 7+ 17+ 19-	2-  0 5+ 7+  2  4 17+ 19-
Curve Equation t Generators 113050bs1 [1,-1,1,-2455,-47953] 1 [59:70:1]
113050bt (2 curves)	1	2- 5+ 7+ 17+ 19-	2- -1 5+ 7+  3  4 17+ 19-
Curve Equation t Generators 113050bt1 [1,1,1,-20605463,35993012781] 1 [2695:-7998:1] 113050bt2 [1,1,1,-17415838,47515149531] 1 [-2575:275687:1]
113050bu (2 curves)	1	2- 5+ 7+ 17+ 19-	2- -1 5+ 7+  3 -5 17+ 19-
Curve Equation t Generators 113050bu1 [1,1,1,-1078763,-359737719] 1 [-771:4182:1] 113050bu2 [1,1,1,-83263138,-292468293969] 1 [-5269:2653:1]
113050bv (1 curve)	1	2- 5+ 7+ 17+ 19-	2- -1 5+ 7+ -5  4 17+ 19-
Curve Equation t Generators 113050bv1 [1,1,1,-139100588,-631515428469] 1 [830139690987509310973831883099828249378703806430:47272338158518179779424011763940100196200230381653:54644863720831286229332943546768121477450664]
113050bw (1 curve)	1	2- 5+ 7+ 17+ 19-	2- -1 5+ 7+ -5 -5 17+ 19-
Curve Equation t Generators 113050bw1 [1,1,1,-61200855883,-5827553343007239] 1 [-87715517865:43922337374:614125]
113050bx (1 curve)	1	2- 5+ 7+ 17- 19+	2-  1 5+ 7+  0  4 17- 19+
Curve Equation t Generators 113050bx1 [1,0,0,-13,7] 1 [-108:373:64]
113050by (2 curves)	2	2- 5+ 7+ 17- 19-	2- -1 5+ 7+ -3 -2 17- 19-
Curve Equation t Generators 113050by1 [1,1,1,-76563,1172363281] 1 [-931:21388:1]&[-625:31562:1] 113050by2 [1,1,1,689062,-31653042969] 1 [24750:68371:8]&[3241:66475:1]
113050bz (1 curve)	1	2- 5+ 7- 17+ 19+	2- -1 5+ 7-  1 -2 17+ 19+
Curve Equation t Generators 113050bz1 [1,1,1,3312,23281] 1 [25:-363:1]
113050ca (1 curve)	1	2- 5+ 7- 17+ 19+	2- -1 5+ 7-  1  3 17+ 19+
Curve Equation t Generators 113050ca1 [1,1,1,-245013,-46118969] 1 [-269:778:1]
113050cb (1 curve)	1	2- 5+ 7- 17+ 19+	2- -1 5+ 7-  1 -5 17+ 19+
Curve Equation t Generators 113050cb1 [1,1,1,-93078,-10968749] 1 [-4767:2371:27]
113050cc (4 curves)	0	2- 5+ 7- 17+ 19-	2-  0 5+ 7-  4 -6 17+ 19-
Curve Equation t 113050cc1 [1,-1,1,-71298355,-221157055853] 2 113050cc2 [1,-1,1,-202370355,825059648147] 4 113050cc3 [1,-1,1,500477645,5290955840147] 2 113050cc4 [1,-1,1,-3002370355,63315459648147] 2
113050cd (1 curve)	0	2- 5+ 7- 17+ 19-	2-  2 5+ 7- -1  6 17+ 19-
Curve Equation t 113050cd1 [1,1,1,2787,-195469] 1
113050ce (4 curves)	0	2- 5+ 7- 17- 19+	2-  0 5+ 7-  0 -2 17- 19+
Curve Equation t 113050ce1 [1,-1,1,14495,664497] 4 113050ce2 [1,-1,1,-83505,6348497] 4 113050ce3 [1,-1,1,-521005,-139776503] 2 113050ce4 [1,-1,1,-1214005,515073497] 2
113050cf (2 curves)	0	2- 5+ 7- 17- 19+	2-  2 5+ 7-  0  6 17- 19+
Curve Equation t 113050cf1 [1,1,1,-8313,121031] 2 113050cf2 [1,1,1,29687,957031] 2
113050cg (1 curve)	2	2- 5+ 7- 17- 19+	2- -2 5+ 7- -2  1 17- 19+
Curve Equation t Generators 113050cg1 [1,0,0,-64838,6354532] 1 [136:170:1]&[-204:3434:1]
113050ch (2 curves)	0	2- 5+ 7- 17- 19+	2- -2 5+ 7-  4  4 17- 19+
Curve Equation t 113050ch1 [1,0,0,-216188,-38707508] 2 113050ch2 [1,0,0,-211938,-40301258] 2
113050ci (1 curve)	0	2- 5+ 7- 17- 19+	2-  3 5+ 7-  4 -6 17- 19+
Curve Equation t 113050ci1 [1,-1,1,554895,-177883103] 1
113050cj (1 curve)	1	2- 5+ 7- 17- 19-	2-  0 5+ 7- -2  0 17- 19-
Curve Equation t Generators 113050cj1 [1,-1,1,-170992330,-7229300179703] 1 [75409:20178295:1]
113050ck (1 curve)	1	2- 5+ 7- 17- 19-	2- -2 5+ 7-  4  2 17- 19-
Curve Equation t Generators 113050ck1 [1,0,0,-438,28492] 1 [-18:184:1]
113050cl (1 curve)	0	2- 5- 7+ 17+ 19-	2- -1 5- 7+  4 -2 17+ 19-
Curve Equation t 113050cl1 [1,1,1,-827138,-279273969] 1
113050cm (1 curve)	2	2- 5- 7+ 17+ 19-	2- -1 5- 7+ -5  0 17+ 19-
Curve Equation t Generators 113050cm1 [1,1,1,-4533,119131] 1 [-65:412:1]&[49:-158:1]
113050cn (2 curves)	0	2- 5- 7+ 17- 19+	2-  2 5- 7+ -6  2 17- 19+
Curve Equation t 113050cn1 [1,1,1,-153,-1369] 2 113050cn2 [1,1,1,-2953,-62969] 2
113050co (1 curve)	2	2- 5- 7+ 17- 19+	2- -2 5- 7+ -2 -7 17- 19+
Curve Equation t Generators 113050co1 [1,0,0,6737,-310983] 1 [38:-3:1]&[52:399:1]
113050cp (1 curve)	0	2- 5- 7+ 17- 19+	2-  3 5- 7+  3 -2 17- 19+
Curve Equation t 113050cp1 [1,-1,1,-368055,-115944803] 1
113050cq (1 curve)	2	2- 5- 7+ 17- 19+	2- -3 5- 7+ -3  1 17- 19+
Curve Equation t Generators 113050cq1 [1,-1,1,-1230,16797] 1 [-37:121:1]&[-11:-165:1]
113050cr (2 curves)	1	2- 5- 7+ 17- 19-	2-  0 5- 7+  4  4 17- 19-
Curve Equation t Generators 113050cr1 [1,-1,1,-12436930,-13149514303] 2 [-2695:29431:1] 113050cr2 [1,-1,1,-186516930,-980337994303] 2 [-2716385:3438833:343]
113050cs (1 curve)	1	2- 5- 7+ 17- 19-	2-  1 5- 7+  1  6 17- 19-
Curve Equation t Generators 113050cs1 [1,0,0,-1308,-49168] 1 [412:8124:1]
113050ct (1 curve)	0	2- 5- 7- 17+ 19+	2-  2 5- 7- -5  4 17+ 19+
Curve Equation t 113050ct1 [1,1,1,-468,-5419] 1
113050cu (2 curves)	1	2- 5- 7- 17+ 19-	2-  1 5- 7-  0 -4 17+ 19-
Curve Equation t Generators 113050cu1 [1,0,0,-6138,184292] 3 [-44:630:1] 113050cu2 [1,0,0,-26138,-1454908] 1 [-112:322:1]
113050cv (1 curve)	1	2- 5- 7- 17- 19+	2- -1 5- 7-  3 -1 17- 19+
Curve Equation t Generators 113050cv1 [1,1,1,-216138,28851031] 1 [385:1507:1]
113050cw (1 curve)	1	2- 5- 7- 17- 19+	2- -1 5- 7-  3  4 17- 19+
Curve Equation t Generators 113050cw1 [1,1,1,-14263,873531] 1 [1230:11631:8]
113050cx (1 curve)	1	2- 5- 7- 17- 19+	2- -1 5- 7- -5 -2 17- 19+
Curve Equation t Generators 113050cx1 [1,1,1,-12018,1538431] 1 [-115:-1133:1]
113050cy (1 curve)	2	2- 5- 7- 17- 19-	2-  0 5- 7- -2 -5 17- 19-
Curve Equation t Generators 113050cy1 [1,-1,1,-1705,115897] 1 [-7:-354:1]&[-11:370:1]
113050cz (1 curve)	0	2- 5- 7- 17- 19-	2-  2 5- 7-  5  0 17- 19-
Curve Equation t 113050cz1 [1,1,1,1438612,-338292719] 1
113050da (1 curve)	0	2- 5- 7- 17- 19-	2- -3 5- 7-  5  0 17- 19-
Curve Equation t 113050da1 [1,-1,1,-70517430,-227908159803] 1
113050db (1 curve)	2	2- 5- 7- 17- 19-	2- -3 5- 7- -5  1 17- 19-
Curve Equation t Generators 113050db1 [1,-1,1,-15196680,-16943344053] 1 [-24898:125495:8]&[-1331:-29735:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations