Cremona's table of elliptic curves

31350 = 2 · 3 · 5² · 11 · 19

Class	r	Atkin-Lehner	Eigenvalues
31350a (4 curves)	1	2+ 3+ 5+ 11+ 19+	2+ 3+ 5+  4 11+  2  6 19+
Curve Equation t Generators 31350a1 [1,1,0,-9350,340500] 2 [65:80:1] 31350a2 [1,1,0,-17350,-339500] 4 [-69:766:1] 31350a3 [1,1,0,63650,-2526500] 2 [345:7615:1] 31350a4 [1,1,0,-226350,-41512500] 2 [-269:166:1]
31350b (2 curves)	0	2+ 3+ 5+ 11+ 19-	2+ 3+ 5+  1 11+ -5  3 19-
Curve Equation t 31350b1 [1,1,0,-34700,474000] 1 31350b2 [1,1,0,-1722200,-870613500] 1
31350c (2 curves)	0	2+ 3+ 5+ 11+ 19-	2+ 3+ 5+ -2 11+  2  0 19-
Curve Equation t 31350c1 [1,1,0,-23525,9665625] 2 31350c2 [1,1,0,-840275,294711375] 2
31350d (2 curves)	0	2+ 3+ 5+ 11+ 19-	2+ 3+ 5+ -2 11+  4 -3 19-
Curve Equation t 31350d1 [1,1,0,-285475,59477125] 1 31350d2 [1,1,0,1111775,284555875] 1
31350e (2 curves)	0	2+ 3+ 5+ 11- 19+	2+ 3+ 5+  2 11- -4 -3 19+
Curve Equation t 31350e1 [1,1,0,1875,244125] 1 31350e2 [1,1,0,-307125,-68230875] 1
31350f (4 curves)	0	2+ 3+ 5+ 11- 19+	2+ 3+ 5+  2 11-  6  2 19+
Curve Equation t 31350f1 [1,1,0,-681875,250078125] 2 31350f2 [1,1,0,-11373875,14759122125] 2 31350f3 [1,1,0,-1604375,-20463669375] 2 31350f4 [1,1,0,-122392625,-516057859125] 2
31350g (2 curves)	1	2+ 3+ 5+ 11- 19-	2+ 3+ 5+  2 11-  2 -2 19-
Curve Equation t Generators 31350g1 [1,1,0,-607525,-158661875] 2 [65815:16850530:1] 31350g2 [1,1,0,992475,-851461875] 2 [15892261:199660989:24389]
31350h (2 curves)	1	2+ 3+ 5+ 11- 19-	2+ 3+ 5+  2 11-  2  4 19-
Curve Equation t Generators 31350h1 [1,1,0,-24150,1444500] 2 [84:-174:1] 31350h2 [1,1,0,-387150,92557500] 2 [-235:13180:1]
31350i (1 curve)	0	2+ 3+ 5- 11+ 19+	2+ 3+ 5- -1 11+ -3  5 19+
Curve Equation t 31350i1 [1,1,0,-2400200,1371144000] 1
31350j (2 curves)	2	2+ 3+ 5- 11+ 19+	2+ 3+ 5- -2 11+ -2 -6 19+
Curve Equation t Generators 31350j1 [1,1,0,-55,325] 2 [-6:25:1]&[-5:25:1] 31350j2 [1,1,0,-1155,14625] 2 [-24:183:1]&[-5:145:1]
31350k (2 curves)	0	2+ 3+ 5- 11+ 19+	2+ 3+ 5-  4 11+  2  0 19+
Curve Equation t 31350k1 [1,1,0,-2700,-58500] 2 31350k2 [1,1,0,-43950,-3564750] 2
31350l (1 curve)	1	2+ 3+ 5- 11+ 19-	2+ 3+ 5-  3 11+  2  0 19-
Curve Equation t Generators 31350l1 [1,1,0,-150,-900] 1 [15:15:1]
31350m (2 curves)	1	2+ 3+ 5- 11- 19+	2+ 3+ 5-  2 11-  1  7 19+
Curve Equation t Generators 31350m1 [1,1,0,-38500,-16068800] 1 [396:5368:1] 31350m2 [1,1,0,-2948825,2576017125] 1 [-293997274:122444774253:2248091]
31350n (2 curves)	1	2+ 3+ 5- 11- 19+	2+ 3+ 5- -3 11-  1 -3 19+
Curve Equation t Generators 31350n1 [1,1,0,-58625,-5487975] 1 [-140:75:1] 31350n2 [1,1,0,-489450,128956500] 1 [260:-4530:1]
31350o (2 curves)	2	2+ 3+ 5- 11- 19-	2+ 3+ 5- -2 11- -6 -4 19-
Curve Equation t Generators 31350o1 [1,1,0,180,0] 2 [9:-54:1]&[5:30:1] 31350o2 [1,1,0,-720,-900] 2 [-26:46:1]&[51:-339:1]
31350p (1 curve)	0	2+ 3- 5+ 11+ 19+	2+ 3- 5+ -2 11+  0 -5 19+
Curve Equation t 31350p1 [1,0,1,-81901,-9070552] 1
31350q (6 curves)	1	2+ 3- 5+ 11+ 19-	2+ 3- 5+  0 11+  2 -2 19-
Curve Equation t Generators 31350q1 [1,0,1,-55976,5092598] 2 [138:-41:1] 31350q2 [1,0,1,-57976,4708598] 4 [-203:2951:1] 31350q3 [1,0,1,90524,24904598] 2 [-104:3842:1] 31350q4 [1,0,1,-238476,-40055402] 4 [-298:2286:1] 31350q5 [1,0,1,336274,-203284402] 2 [912:28906:1] 31350q6 [1,0,1,-3701226,-2741000402] 2 [-1108:666:1]
31350r (4 curves)	1	2+ 3- 5+ 11+ 19-	2+ 3- 5+  0 11+ -2  6 19-
Curve Equation t Generators 31350r1 [1,0,1,1099,16448] 2 [-4:111:1] 31350r2 [1,0,1,-6901,160448] 4 [-68:596:1] 31350r3 [1,0,1,-39901,-2941552] 2 [678:16447:1] 31350r4 [1,0,1,-101901,12510448] 2 [-268:4671:1]
31350s (1 curve)	1	2+ 3- 5+ 11+ 19-	2+ 3- 5+  3 11+  1 -3 19-
Curve Equation t Generators 31350s1 [1,0,1,-2683647201,-52254515745452] 1 [-13085463034153:-183256630488846:393832837]
31350t (6 curves)	1	2+ 3- 5+ 11- 19+	2+ 3- 5+  0 11-  2  6 19+
Curve Equation t Generators 31350t1 [1,0,1,-3726,86848] 2 [46:92:1] 31350t2 [1,0,1,-5726,-17152] 4 [-22:324:1] 31350t3 [1,0,1,22774,-131152] 2 [278:5124:1] 31350t4 [1,0,1,-66226,-6551152] 4 [-153:151:1] 31350t5 [1,0,1,-41476,-11501152] 2 [342:3616:1] 31350t6 [1,0,1,-1058976,-419535152] 2 [3962:237981:1]
31350u (1 curve)	1	2+ 3- 5+ 11- 19+	2+ 3- 5+  2 11- -5  5 19+
Curve Equation t Generators 31350u1 [1,0,1,-111,-542] 1 [23:84:1]
31350v (2 curves)	0	2+ 3- 5+ 11- 19-	2+ 3- 5+  2 11-  6 -2 19-
Curve Equation t 31350v1 [1,0,1,-91876,-5539102] 2 31350v2 [1,0,1,308124,-40739102] 2
31350w (1 curve)	1	2+ 3- 5- 11+ 19+	2+ 3- 5-  1 11+ -1 -5 19+
Curve Equation t Generators 31350w1 [1,0,1,-1701,-21452] 1 [-23:86:1]
31350x (2 curves)	0	2+ 3- 5- 11+ 19-	2+ 3- 5- -1 11+  2  0 19-
Curve Equation t 31350x1 [1,0,1,-1173576,489259798] 3 31350x2 [1,0,1,-312951,1186062298] 1
31350y (2 curves)	0	2+ 3- 5- 11+ 19-	2+ 3- 5-  5 11+  5  3 19-
Curve Equation t 31350y1 [1,0,1,-6326,89048] 3 31350y2 [1,0,1,-255701,-49785952] 1
31350z (2 curves)	0	2+ 3- 5- 11- 19+	2+ 3- 5-  0 11- -4 -6 19+
Curve Equation t 31350z1 [1,0,1,165164299,-16013270205952] 2 31350z2 [1,0,1,-8614355701,-299047435965952] 2
31350ba (2 curves)	0	2+ 3- 5- 11- 19+	2+ 3- 5-  4 11- -2  6 19+
Curve Equation t 31350ba1 [1,0,1,-496,-32662] 2 31350ba2 [1,0,1,-18646,-976462] 2
31350bb (2 curves)	1	2+ 3- 5- 11- 19-	2+ 3- 5-  2 11-  2  0 19-
Curve Equation t Generators 31350bb1 [1,0,1,-1921,46388] 2 [-8:251:1] 31350bb2 [1,0,1,-34321,2443988] 2 [103:14:1]
31350bc (2 curves)	1	2+ 3- 5- 11- 19-	2+ 3- 5-  2 11- -2  2 19-
Curve Equation t Generators 31350bc1 [1,0,1,269,44558] 2 [22:-259:1] 31350bc2 [1,0,1,-17331,854158] 2 [23:672:1]
31350bd (1 curve)	0	2- 3+ 5+ 11+ 19+	2- 3+ 5+ -1 11+  1  5 19+
Curve Equation t 31350bd1 [1,1,1,-68,-199] 1
31350be (2 curves)	1	2- 3+ 5+ 11+ 19-	2- 3+ 5+  1 11+ -2  0 19-
Curve Equation t Generators 31350be1 [1,1,1,-46943,3895301] 1 [39:1438:1] 31350be2 [1,1,1,-12518,9483491] 1 [-159:2815:1]
31350bf (2 curves)	1	2- 3+ 5+ 11+ 19-	2- 3+ 5+  2 11+ -2 -2 19-
Curve Equation t Generators 31350bf1 [1,1,1,-6413963,6253668281] 2 [1449:-2912:1] 31350bf2 [1,1,1,-102641963,400211100281] 2 [-8995:776372:1]
31350bg (2 curves)	1	2- 3+ 5+ 11+ 19-	2- 3+ 5+  2 11+  4 -2 19-
Curve Equation t Generators 31350bg1 [1,1,1,-5138,112031] 2 [-25:487:1] 31350bg2 [1,1,1,10862,688031] 2 [1:835:1]
31350bh (4 curves)	1	2- 3+ 5+ 11+ 19-	2- 3+ 5+ -2 11+ -2  6 19-
Curve Equation t Generators 31350bh1 [1,1,1,12912,-339219] 2 [750:10071:8] 31350bh2 [1,1,1,-61338,-3012219] 2 [2478:21139:8] 31350bh3 [1,1,1,-264963,-53434719] 2 [691:9350:1] 31350bh4 [1,1,1,-4257963,-3383596719] 2 [72078:6607939:8]
31350bi (8 curves)	1	2- 3+ 5+ 11+ 19-	2- 3+ 5+  4 11+ -2 -6 19-
Curve Equation t Generators 31350bi1 [1,1,1,-2162688,1073413281] 2 [-395:43397:1] 31350bi2 [1,1,1,-33412688,74323413281] 4 [28462:164251:8] 31350bi3 [1,1,1,-43647063,-110866899219] 2 [-3845:13322:1] 31350bi4 [1,1,1,-32225188,79852413281] 2 [6962466:326138093:2744] 31350bi5 [1,1,1,-534600188,4757419413281] 4 [295636460:374222519:21952] 31350bi6 [1,1,1,-56447063,-40543699219] 4 [-2625:300562:1] 31350bi7 [1,1,1,217912937,-318744739219] 2 [26255:4834722:1] 31350bi8 [1,1,1,-535607063,4738598140781] 4 [12325:92162:1]
31350bj (2 curves)	1	2- 3+ 5+ 11+ 19-	2- 3+ 5+ -5 11+ -5 -3 19-
Curve Equation t Generators 31350bj1 [1,1,1,-253,611] 1 [1:18:1] 31350bj2 [1,1,1,-10228,-402379] 1 [-59:33:1]
31350bk (2 curves)	1	2- 3+ 5+ 11- 19+	2- 3+ 5+  2 11-  2 -6 19+
Curve Equation t Generators 31350bk1 [1,1,1,-913,10031] 2 [5:72:1] 31350bk2 [1,1,1,87,32031] 2 [21:-220:1]
31350bl (2 curves)	1	2- 3+ 5+ 11- 19+	2- 3+ 5+  2 11- -2  2 19+
Curve Equation t Generators 31350bl1 [1,1,1,-1056463,-418256719] 2 [575060:53853063:64] 31350bl2 [1,1,1,-900213,-546069219] 2 [1578390:43577243:1000]
31350bm (2 curves)	0	2- 3+ 5+ 11- 19-	2- 3+ 5+  0 11-  6  0 19-
Curve Equation t 31350bm1 [1,1,1,561912,90790281] 2 31350bm2 [1,1,1,-2606088,775078281] 2
31350bn (4 curves)	0	2- 3+ 5+ 11- 19-	2- 3+ 5+  0 11- -6 -6 19-
Curve Equation t 31350bn1 [1,1,1,-11088,-586719] 4 31350bn2 [1,1,1,-191588,-32354719] 4 31350bn3 [1,1,1,-205838,-27281719] 2 31350bn4 [1,1,1,-3065338,-2066969719] 2
31350bo (1 curve)	0	2- 3+ 5- 11+ 19-	2- 3+ 5- -3 11+ -1  3 19-
Curve Equation t 31350bo1 [1,1,1,-107345888,-418079064319] 1
31350bp (2 curves)	0	2- 3+ 5- 11- 19+	2- 3+ 5-  0 11-  4  6 19+
Curve Equation t 31350bp1 [1,1,1,6606572,-128103519019] 2 31350bp2 [1,1,1,-344574228,-2392517317419] 2
31350bq (1 curve)	0	2- 3+ 5- 11- 19+	2- 3+ 5- -2 11-  5 -5 19+
Curve Equation t 31350bq1 [1,1,1,-2763,-67719] 1
31350br (2 curves)	0	2- 3+ 5- 11- 19+	2- 3+ 5- -4 11-  2 -6 19+
Curve Equation t 31350br1 [1,1,1,-12388,-4082719] 2 31350br2 [1,1,1,-466138,-122057719] 2
31350bs (2 curves)	1	2- 3+ 5- 11- 19-	2- 3+ 5- -2 11-  2 -2 19-
Curve Equation t Generators 31350bs1 [1,1,1,6737,5569781] 2 [11:-2382:1] 31350bs2 [1,1,1,-433263,106769781] 2 [-265:14382:1]
31350bt (2 curves)	1	2- 3+ 5- 11- 19-	2- 3+ 5- -2 11- -2  0 19-
Curve Equation t Generators 31350bt1 [1,1,1,-48013,5798531] 2 [59:-1812:1] 31350bt2 [1,1,1,-858013,305498531] 2 [581:-2172:1]
31350bu (1 curve)	1	2- 3- 5+ 11+ 19+	2- 3- 5+  1 11+  3 -5 19+
Curve Equation t Generators 31350bu1 [1,0,0,-96008,10969152] 1 [16:3064:1]
31350bv (4 curves)	1	2- 3- 5+ 11+ 19+	2- 3- 5+ -4 11+ -2  6 19+
Curve Equation t Generators 31350bv1 [1,0,0,-166813,29421617] 4 [386:-4945:1] 31350bv2 [1,0,0,-2758813,1763469617] 4 [362:28319:1] 31350bv3 [1,0,0,-2848813,1642239617] 2 [332:26909:1] 31350bv4 [1,0,0,-44140813,112874139617] 2 [3836:-1891:1]
31350bw (4 curves)	0	2- 3- 5+ 11+ 19-	2- 3- 5+  0 11+  6  2 19-
Curve Equation t 31350bw1 [1,0,0,-1813,-14383] 2 31350bw2 [1,0,0,-14313,648117] 4 31350bw3 [1,0,0,-563,1844367] 2 31350bw4 [1,0,0,-228063,41901867] 2
31350bx (1 curve)	0	2- 3- 5+ 11+ 19-	2- 3- 5+ -2 11+  0 -7 19-
Curve Equation t 31350bx1 [1,0,0,-163,-1183] 1
31350by (1 curve)	0	2- 3- 5+ 11+ 19-	2- 3- 5+ -3 11+ -2  0 19-
Curve Equation t 31350by1 [1,0,0,-3763,-104983] 1
31350bz (2 curves)	0	2- 3- 5+ 11+ 19-	2- 3- 5+  4 11+  0  2 19-
Curve Equation t 31350bz1 [1,0,0,-366388,72501392] 2 31350bz2 [1,0,0,657612,405301392] 2
31350ca (2 curves)	0	2- 3- 5+ 11- 19+	2- 3- 5+  2 11-  2 -6 19+
Curve Equation t 31350ca1 [1,0,0,687,18117] 2 31350ca2 [1,0,0,-7563,224367] 2
31350cb (2 curves)	0	2- 3- 5+ 11- 19+	2- 3- 5+ -2 11- -1 -7 19+
Curve Equation t 31350cb1 [1,0,0,-117953,20608137] 5 31350cb2 [1,0,0,-962513,-2006674983] 1
31350cc (2 curves)	0	2- 3- 5+ 11- 19+	2- 3- 5+ -2 11-  2  2 19+
Curve Equation t 31350cc1 [1,0,0,-68938,6312992] 2 31350cc2 [1,0,0,87312,30844242] 2
31350cd (2 curves)	0	2- 3- 5+ 11- 19+	2- 3- 5+ -2 11-  2  2 19+
Curve Equation t 31350cd1 [1,0,0,-36026938,-83374068508] 2 31350cd2 [1,0,0,-576698938,-5330595828508] 2
31350ce (2 curves)	0	2- 3- 5+ 11- 19+	2- 3- 5+  3 11- -1  3 19+
Curve Equation t 31350ce1 [1,0,0,-19578,1031652] 5 31350ce2 [1,0,0,-1465638,-683065608] 1
31350cf (2 curves)	1	2- 3- 5+ 11- 19-	2- 3- 5+  0 11- -2 -4 19-
Curve Equation t Generators 31350cf1 [1,0,0,4662,1760292] 2 [42:-1446:1] 31350cf2 [1,0,0,-193338,31658292] 2 [-378:7314:1]
31350cg (2 curves)	1	2- 3- 5+ 11- 19-	2- 3- 5+  0 11- -4  2 19-
Curve Equation t Generators 31350cg1 [1,0,0,-32063,2206617] 2 [118:-323:1] 31350cg2 [1,0,0,-28063,2778617] 2 [266:3629:1]
31350ch (2 curves)	0	2- 3- 5- 11+ 19+	2- 3- 5-  2 11+  2  6 19+
Curve Equation t 31350ch1 [1,0,0,-1388,43392] 2 31350ch2 [1,0,0,-28888,1885892] 2
31350ci (2 curves)	0	2- 3- 5- 11+ 19+	2- 3- 5- -4 11+ -2  0 19+
Curve Equation t 31350ci1 [1,0,0,-108,-468] 2 31350ci2 [1,0,0,-1758,-28518] 2
31350cj (2 curves)	1	2- 3- 5- 11+ 19-	2- 3- 5- -1 11+  5 -3 19-
Curve Equation t Generators 31350cj1 [1,0,0,-1388,3792] 3 [-38:64:1] 31350cj2 [1,0,0,-68888,-6964908] 1 [-152:82:1]
31350ck (2 curves)	0	2- 3- 5- 11- 19-	2- 3- 5-  2 11-  6  4 19-
Curve Equation t 31350ck1 [1,0,0,4487,-8983] 2 31350ck2 [1,0,0,-18013,-76483] 2

Data from Elliptic Curve Data by J. E. Cremona.
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