Cremona's table of elliptic curves

119350 = 2 · 5² · 7 · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
119350a (1 curve)	1	2+ 5+ 7+ 11+ 31+	2+  1 5+ 7+ 11+  2  4 -1
Curve Equation t Generators 119350a1 [1,0,1,-112526,14640448] 1 [4359:20207:27]
119350b (2 curves)	1	2+ 5+ 7+ 11+ 31+	2+ -2 5+ 7+ 11+  6 -6 -6
Curve Equation t Generators 119350b1 [1,0,1,-7172001,7404256148] 2 [1387:-11894:1] 119350b2 [1,0,1,-114804001,473450816148] 2 [4522:214026:1]
119350c (2 curves)	0	2+ 5+ 7+ 11+ 31-	2+  2 5+ 7+ 11+ -5  3  5
Curve Equation t 119350c1 [1,1,0,-25168220,49236254480] 1 119350c2 [1,1,0,94161480,241998762740] 1
119350d (4 curves)	2	2+ 5+ 7+ 11- 31+	2+  0 5+ 7+ 11-  2 -6 -4
Curve Equation t Generators 119350d1 [1,-1,0,22708,5617616] 2 [109:-3117:1]&[89:2843:1] 119350d2 [1,-1,0,-369292,80489616] 4 [-665:5959:1]&[-192:12108:1] 119350d3 [1,-1,0,-1216292,-421781384] 2 [-467:6883:1]&[1315:15199:1] 119350d4 [1,-1,0,-5794292,5369864616] 2 [-10418:832959:8]&[-271:83323:1]
119350e (2 curves)	1	2+ 5+ 7+ 11- 31-	2+  0 5+ 7+ 11-  2  0 -2
Curve Equation t Generators 119350e1 [1,-1,0,-1823627692,12981662763216] 2 [-9983255488:1372097100521:262144] 119350e2 [1,-1,0,-24302475692,1457360041003216] 2 [2874764832:-24966966791:32768]
119350f (2 curves)	1	2+ 5+ 7+ 11- 31-	2+  1 5+ 7+ 11- -4  2 -5
Curve Equation t Generators 119350f1 [1,0,1,-12876,725898] 1 [177:1911:1] 119350f2 [1,0,1,-93376,-69218102] 1 [4127:262211:1]
119350g (2 curves)	1	2+ 5+ 7+ 11- 31-	2+  1 5+ 7+ 11-  6  2  0
Curve Equation t Generators 119350g1 [1,0,1,-6242251,6002369398] 1 [1480790:1797113:1000] 119350g2 [1,0,1,14918749,31815107398] 1 [90254:10187597:8]
119350h (1 curve)	1	2+ 5+ 7+ 11- 31-	2+  3 5+ 7+ 11-  2  6  4
Curve Equation t Generators 119350h1 [1,-1,0,-1342,43316] 1 [10338:58543:216]
119350i (1 curve)	0	2+ 5+ 7- 11+ 31+	2+ -1 5+ 7- 11+ -4 -2 -2
Curve Equation t 119350i1 [1,1,0,6825,-719064875] 1
119350j (2 curves)	0	2+ 5+ 7- 11+ 31+	2+  2 5+ 7- 11+  2 -2 -2
Curve Equation t 119350j1 [1,1,0,408100,209769500] 2 119350j2 [1,1,0,-3793650,2440898750] 2
119350k (1 curve)	0	2+ 5+ 7- 11+ 31+	2+ -2 5+ 7- 11+ -3 -3 -1
Curve Equation t 119350k1 [1,0,1,-34603701576,-2622200553924202] 1
119350l (4 curves)	1	2+ 5+ 7- 11+ 31-	2+  0 5+ 7- 11+ -2  2 -4
Curve Equation t Generators 119350l1 [1,-1,0,168058,-70574284] 2 [365:6086:1] 119350l2 [1,-1,0,-1879942,-883630284] 4 [-947:7309:1] 119350l3 [1,-1,0,-7367942,6772129716] 2 [-2851:69238:1] 119350l4 [1,-1,0,-29159942,-60599550284] 2 [21679:3070648:1]
119350m (1 curve)	1	2+ 5+ 7- 11+ 31-	2+  1 5+ 7- 11+  2  2 -7
Curve Equation t Generators 119350m1 [1,0,1,-4701,57048] 1 [6:167:1]
119350n (2 curves)	1	2+ 5+ 7- 11+ 31-	2+ -2 5+ 7- 11+  2  2  2
Curve Equation t Generators 119350n1 [1,0,1,335474,-5708052] 2 [451:15181:1] 119350n2 [1,0,1,-1346276,-46070052] 2 [1226:11492:1]
119350o (1 curve)	1	2+ 5+ 7- 11- 31+	2+  1 5+ 7- 11-  2  4  5
Curve Equation t Generators 119350o1 [1,0,1,2449,22498] 1 [7:196:1]
119350p (1 curve)	1	2+ 5+ 7- 11- 31+	2+ -1 5+ 7- 11-  0  6 -6
Curve Equation t Generators 119350p1 [1,1,0,28375,629125] 1 [29:1201:1]
119350q (1 curve)	1	2+ 5+ 7- 11- 31+	2+ -2 5+ 7- 11-  3  7 -5
Curve Equation t Generators 119350q1 [1,0,1,4,78] 1 [3:-13:1]
119350r (1 curve)	0	2+ 5- 7+ 11- 31-	2+  0 5- 7+ 11-  7  7  3
Curve Equation t 119350r1 [1,-1,0,-26465867,-73395542459] 1
119350s (2 curves)	2	2+ 5- 7+ 11- 31-	2+  1 5- 7+ 11- -4  2 -5
Curve Equation t Generators 119350s1 [1,0,1,-259626,-44054502] 1 [-8826:70042:27]&[-258:2531:1] 119350s2 [1,0,1,-42228201,105617881548] 1 [78654:2271622:27]&[3702:3411:1]
119350t (2 curves)	0	2+ 5- 7+ 11- 31-	2+  2 5- 7+ 11-  6 -2 -4
Curve Equation t 119350t1 [1,1,0,-99111700,423269394000] 2 119350t2 [1,1,0,-1635751700,25462818194000] 2
119350u (2 curves)	2	2+ 5- 7+ 11- 31-	2+ -2 5- 7+ 11- -2 -6 -2
Curve Equation t Generators 119350u1 [1,0,1,-771,10238] 2 [-17:144:1]&[-2:109:1] 119350u2 [1,0,1,-13171,580638] 2 [-69:1112:1]&[-58:1101:1]
119350v (1 curve)	2	2+ 5- 7+ 11- 31-	2+ -2 5- 7+ 11- -7 -1 -5
Curve Equation t Generators 119350v1 [1,0,1,-10326,947048] 1 [2:961:1]&[101:917:1]
119350w (1 curve)	0	2+ 5- 7- 11+ 31-	2+ -1 5- 7- 11+ -4 -2 -5
Curve Equation t 119350w1 [1,1,0,-1369825,616467125] 1
119350x (1 curve)	0	2+ 5- 7- 11- 31+	2+  0 5- 7- 11-  1 -3 -7
Curve Equation t 119350x1 [1,-1,0,-3617,-91459] 1
119350y (1 curve)	2	2+ 5- 7- 11- 31+	2+  0 5- 7- 11- -1 -3 -7
Curve Equation t Generators 119350y1 [1,-1,0,-392,38416] 1 [-21:-182:1]&[-32:148:1]
119350z (2 curves)	1	2+ 5- 7- 11- 31-	2+  1 5- 7- 11-  2  6 -1
Curve Equation t Generators 119350z1 [1,0,1,-1291951,564315298] 3 [-1294:9001:1] 119350z2 [1,0,1,-5341326,-4208405952] 1 [-361254:1666591:216]
119350ba (2 curves)	1	2+ 5- 7- 11- 31-	2+ -2 5- 7- 11- -2  6 -8
Curve Equation t Generators 119350ba1 [1,0,1,-206,-43392] 2 [86:-803:1] 119350ba2 [1,0,1,-19806,-1062592] 2 [352:-6144:1]
119350bb (2 curves)	2	2- 5+ 7+ 11+ 31+	2-  0 5+ 7+ 11+ -2  0 -6
Curve Equation t Generators 119350bb1 [1,-1,1,-8355,194147] 2 [-37:690:1]&[-21:610:1] 119350bb2 [1,-1,1,-120355,16098147] 2 [189:180:1]&[-141:5570:1]
119350bc (2 curves)	0	2- 5+ 7+ 11+ 31+	2-  0 5+ 7+ 11+  4  2  4
Curve Equation t 119350bc1 [1,-1,1,1370,16497] 2 119350bc2 [1,-1,1,-7380,156497] 2
119350bd (2 curves)	0	2- 5+ 7+ 11+ 31+	2-  2 5+ 7+ 11+ -2 -2  4
Curve Equation t 119350bd1 [1,1,1,3437,-1932719] 2 119350bd2 [1,1,1,-213563,-37086719] 2
119350be (1 curve)	0	2- 5+ 7+ 11+ 31+	2- -3 5+ 7+ 11+ -2 -4  7
Curve Equation t 119350be1 [1,-1,1,-5467380,-4919301753] 1
119350bf (1 curve)	1	2- 5+ 7+ 11+ 31-	2-  1 5+ 7+ 11+  4  2 -5
Curve Equation t Generators 119350bf1 [1,0,0,-54793,4931737] 1 [138:-13:1]
119350bg (2 curves)	1	2- 5+ 7+ 11+ 31-	2- -2 5+ 7+ 11+  0 -2  6
Curve Equation t Generators 119350bg1 [1,0,0,-4563,491617] 2 [-48:799:1] 119350bg2 [1,0,0,-125563,17068617] 2 [188:247:1]
119350bh (1 curve)	1	2- 5+ 7+ 11- 31+	2-  0 5+ 7+ 11-  1  3 -7
Curve Equation t Generators 119350bh1 [1,-1,1,-9805,4792197] 1 [15:2148:1]
119350bi (1 curve)	1	2- 5+ 7+ 11- 31+	2-  0 5+ 7+ 11- -1  3 -7
Curve Equation t Generators 119350bi1 [1,-1,1,-145,-703] 1 [23:-100:1]
119350bj (2 curves)	1	2- 5+ 7+ 11- 31+	2-  0 5+ 7+ 11-  4 -6 -4
Curve Equation t Generators 119350bj1 [1,-1,1,-5831380,-5424743753] 2 [2845:30301:1] 119350bj2 [1,-1,1,-93331380,-347024743753] 2 [315345:176841853:1]
119350bk (2 curves)	1	2- 5+ 7+ 11- 31+	2-  2 5+ 7+ 11- -4 -2  2
Curve Equation t Generators 119350bk1 [1,1,1,-28763,2666281] 2 [191:1950:1] 119350bk2 [1,1,1,-512763,141090281] 2 [15:11542:1]
119350bl (2 curves)	2	2- 5+ 7+ 11- 31-	2- -1 5+ 7+ 11- -2 -6 -1
Curve Equation t Generators 119350bl1 [1,1,1,-51678,4493851] 1 [-191:2823:1]&[119:157:1] 119350bl2 [1,1,1,-213653,-33752709] 1 [-321:1532:1]&[-281:2188:1]
119350bm (4 curves)	0	2- 5+ 7+ 11- 31-	2-  2 5+ 7+ 11- -2 -6 -4
Curve Equation t 119350bm1 [1,1,1,-90563,-53249219] 2 119350bm2 [1,1,1,-2748813,-1749212719] 2 119350bm3 [1,1,1,-13902438,-19957845469] 2 119350bm4 [1,1,1,-222439438,-1277018881469] 2
119350bn (4 curves)	0	2- 5+ 7+ 11- 31-	2-  2 5+ 7+ 11-  4  6  2
Curve Equation t 119350bn1 [1,1,1,-1889493388,31621941156781] 2 119350bn2 [1,1,1,-30234469388,2023480094628781] 2 119350bn3 [1,1,1,1121062237,119416353593281] 2 119350bn4 [1,1,1,-30598361763,1972274787129281] 2
119350bo (2 curves)	2	2- 5+ 7+ 11- 31-	2- -2 5+ 7+ 11- -6 -4  0
Curve Equation t Generators 119350bo1 [1,0,0,-27913,2225817] 2 [202:-2301:1]&[82:-741:1] 119350bo2 [1,0,0,-475913,126321817] 2 [382:359:1]&[-542:15275:1]
119350bp (1 curve)	0	2- 5+ 7+ 11- 31-	2- -3 5+ 7+ 11-  4  6  7
Curve Equation t 119350bp1 [1,-1,1,-180,-1053] 1
119350bq (2 curves)	1	2- 5+ 7- 11+ 31+	2- -2 5+ 7- 11+ -6  0 -4
Curve Equation t Generators 119350bq1 [1,0,0,-9713,-634583] 2 [262:-3981:1] 119350bq2 [1,0,0,-184713,-30559583] 2 [-252:157:1]
119350br (1 curve)	0	2- 5+ 7- 11+ 31-	2- -1 5+ 7- 11+  6  0  1
Curve Equation t 119350br1 [1,1,1,-95038,-11360469] 1
119350bs (2 curves)	2	2- 5+ 7- 11+ 31-	2- -2 5+ 7- 11+  2 -6 -6
Curve Equation t Generators 119350bs1 [1,0,0,20062,583492] 2 [72:-1586:1]&[-8:654:1] 119350bs2 [1,0,0,-91938,4951492] 2 [-324:1030:1]&[482:-8766:1]
119350bt (2 curves)	1	2- 5+ 7- 11- 31-	2-  0 5+ 7- 11-  2  8 -6
Curve Equation t Generators 119350bt1 [1,-1,1,-1005,-11503] 2 [-9400:15871:512] 119350bt2 [1,-1,1,-2755,40997] 2 [94:755:8]
119350bu (1 curve)	1	2- 5+ 7- 11- 31-	2-  0 5+ 7- 11- -7 -7  3
Curve Equation t Generators 119350bu1 [1,-1,1,-1058635,-586952613] 1 [16275:2063778:1]
119350bv (2 curves)	1	2- 5+ 7- 11- 31-	2- -1 5+ 7- 11-  4 -2 -5
Curve Equation t Generators 119350bv1 [1,1,1,-1689128,844267401] 5 [678390:3000867:1000] 119350bv2 [1,1,1,-6490638,-5506812719] 1 [-12242:238679:8]
119350bw (1 curve)	1	2- 5+ 7- 11- 31-	2-  2 5+ 7- 11-  7  1 -5
Curve Equation t Generators 119350bw1 [1,1,1,-413,7411] 1 [11:60:1]
119350bx (1 curve)	1	2- 5- 7+ 11+ 31+	2-  2 5- 7+ 11+  3  3 -1
Curve Equation t Generators 119350bx1 [1,1,1,-1384148063,-20978158090619] 1 [1179705:37200854:27]
119350by (1 curve)	2	2- 5- 7+ 11+ 31-	2- -1 5- 7+ 11+ -2 -2 -7
Curve Equation t Generators 119350by1 [1,1,1,-188,381] 1 [15:-43:1]&[-90:321:8]
119350bz (1 curve)	0	2- 5- 7+ 11- 31+	2-  2 5- 7+ 11- -3 -7 -5
Curve Equation t 119350bz1 [1,1,1,112,9781] 1
119350ca (2 curves)	1	2- 5- 7+ 11- 31-	2-  2 5- 7+ 11-  2 -6 -8
Curve Equation t Generators 119350ca1 [1,1,1,-5138,-5423969] 2 [5007:3125:27] 119350ca2 [1,1,1,-495138,-132823969] 2 [-441:313:1]
119350cb (2 curves)	1	2- 5- 7- 11+ 31-	2- -2 5- 7- 11+  5 -3  5
Curve Equation t Generators 119350cb1 [1,0,0,-629205513,6155790221017] 3 [12602:-483701:1] 119350cb2 [1,0,0,2354036987,30245137268517] 1 [9963462:6101398703:27]
119350cc (2 curves)	0	2- 5- 7- 11- 31-	2-  2 5- 7- 11-  2  6 -2
Curve Equation t 119350cc1 [1,1,1,-19263,1279781] 2 119350cc2 [1,1,1,-329263,72579781] 2
119350cd (2 curves)	2	2- 5- 7- 11- 31-	2- -2 5- 7- 11- -6  2 -4
Curve Equation t Generators 119350cd1 [1,0,0,-3964468,3386155152] 2 [2152:-70516:1]&[-1824:68364:1] 119350cd2 [1,0,0,-65430068,203702545552] 2 [-3784:632060:1]&[5082:-51986:1]

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