Cremona's table of elliptic curves

42350 = 2 · 5² · 7 · 11²

Class	r	Atkin-Lehner	Eigenvalues
42350a (2 curves)	1	2+ 5+ 7+ 11+	2+  0 5+ 7+ 11+  4 -4  4
Curve Equation t Generators 42350a1 [1,-1,0,-1511692,700107216] 2 [1059:16383:1] 42350a2 [1,-1,0,-24039692,45373131216] 2 [2808:708:1]
42350b (2 curves)	1	2+ 5+ 7+ 11+	2+  0 5+ 7+ 11+ -6  6 -6
Curve Equation t Generators 42350b1 [1,-1,0,-151817,-24497159] 2 [1140:35249:1] 42350b2 [1,-1,0,-2481067,-1503570909] 2 [623945:-188068:343]
42350c (1 curve)	1	2+ 5+ 7+ 11+	2+ -3 5+ 7+ 11+  6  3  0
Curve Equation t Generators 42350c1 [1,-1,0,54488,-6229184] 1 [50736:2189416:27]
42350d (1 curve)	0	2+ 5+ 7+ 11-	2+  0 5+ 7+ 11- -1  6 -1
Curve Equation t 42350d1 [1,-1,0,22423,-2366259] 1
42350e (2 curves)	0	2+ 5+ 7+ 11-	2+  0 5+ 7+ 11-  2 -4  6
Curve Equation t 42350e1 [1,-1,0,-88292,-10246384] 2 42350e2 [1,-1,0,-1419292,-650457384] 2
42350f (4 curves)	0	2+ 5+ 7+ 11-	2+  0 5+ 7+ 11-  2  6 -4
Curve Equation t 42350f1 [1,-1,0,-36569792,102459087616] 2 42350f2 [1,-1,0,-617611792,5907649709616] 4 42350f3 [1,-1,0,-650221292,5249166076116] 2 42350f4 [1,-1,0,-9881674292,378091360647116] 2
42350g (1 curve)	2	2+ 5+ 7+ 11-	2+  1 5+ 7+ 11- -7  0 -1
Curve Equation t Generators 42350g1 [1,0,1,74,-2] 1 [2:11:1]&[46:173:8]
42350h (2 curves)	0	2+ 5+ 7+ 11-	2+ -1 5+ 7+ 11- -2  0 -4
Curve Equation t 42350h1 [1,1,0,-530950,-147563500] 1 42350h2 [1,1,0,-42880950,-108097713500] 1
42350i (1 curve)	0	2+ 5+ 7+ 11-	2+ -1 5+ 7+ 11-  3  0 -3
Curve Equation t 42350i1 [1,1,0,-996250,382416500] 1
42350j (2 curves)	2	2+ 5+ 7+ 11-	2+ -1 5+ 7+ 11- -5 -6  5
Curve Equation t Generators 42350j1 [1,1,0,-10650,419500] 1 [-810:5905:8]&[-5:690:1] 42350j2 [1,1,0,19600,2143750] 1 [-450:7675:8]&[15:-1570:1]
42350k (2 curves)	0	2+ 5+ 7+ 11-	2+ -1 5+ 7+ 11-  6 -3  0
Curve Equation t 42350k1 [1,1,0,-6415,-4412635] 1 42350k2 [1,1,0,-1514075,832914625] 1
42350l (2 curves)	0	2+ 5+ 7+ 11-	2+ -1 5+ 7+ 11-  7  6  5
Curve Equation t 42350l1 [1,1,0,-23998900,-46776910000] 1 42350l2 [1,1,0,-1961934900,-33449190878000] 1
42350m (2 curves)	0	2+ 5+ 7+ 11-	2+  2 5+ 7+ 11-  0  0  0
Curve Equation t 42350m1 [1,1,0,98250,-92387500] 2 42350m2 [1,1,0,-2563750,-1511233500] 2
42350n (2 curves)	0	2+ 5+ 7+ 11-	2+  2 5+ 7+ 11- -2 -3 -7
Curve Equation t 42350n1 [1,1,0,-540025,495385125] 1 42350n2 [1,1,0,4783975,-12244946875] 1
42350o (2 curves)	2	2+ 5+ 7+ 11-	2+ -2 5+ 7+ 11- -4  0 -4
Curve Equation t Generators 42350o1 [1,0,1,-43926,3660248] 2 [-143:2721:1]&[32:1496:1] 42350o2 [1,0,1,-709426,229930248] 2 [13404:3872:27]&[-573:21461:1]
42350p (1 curve)	0	2+ 5+ 7+ 11-	2+  3 5+ 7+ 11- -1  0 -7
Curve Equation t 42350p1 [1,-1,0,-292,49616] 1
42350q (1 curve)	0	2+ 5+ 7+ 11-	2+ -3 5+ 7+ 11-  5  8  3
Curve Equation t 42350q1 [1,-1,0,-3179842,-3581960684] 1
42350r (2 curves)	0	2+ 5+ 7- 11+	2+  2 5+ 7- 11+ -2 -2  8
Curve Equation t 42350r1 [1,1,0,125475,-6401875] 2 42350r2 [1,1,0,-540025,-53652375] 2
42350s (1 curve)	1	2+ 5+ 7- 11-	2+  0 5+ 7- 11-  1  1  0
Curve Equation t Generators 42350s1 [1,-1,0,-151817,41387341] 1 [-30:6791:1]
42350t (1 curve)	1	2+ 5+ 7- 11-	2+  0 5+ 7- 11-  3 -2 -5
Curve Equation t Generators 42350t1 [1,-1,0,-278867,-56991709] 1 [7482631:427293173:2197]
42350u (4 curves)	1	2+ 5+ 7- 11-	2+  0 5+ 7- 11- -6 -2  4
Curve Equation t Generators 42350u1 [1,-1,0,-88292,106881616] 2 [-261:10718:1] 42350u2 [1,-1,0,-3960292,3014753616] 4 [729:22323:1] 42350u3 [1,-1,0,-6622292,-1545252384] 2 [-916:61708:1] 42350u4 [1,-1,0,-63250292,193632103616] 2 [2929:181548:1]
42350v (1 curve)	1	2+ 5+ 7- 11-	2+  1 5+ 7- 11- -1 -4 -3
Curve Equation t Generators 42350v1 [1,0,1,349,79198] 1 [22:301:1]
42350w (2 curves)	1	2+ 5+ 7- 11-	2+ -1 5+ 7- 11- -1  6  7
Curve Equation t Generators 42350w1 [1,1,0,-1025,-21875] 1 [65:-470:1] 42350w2 [1,1,0,8600,392000] 1 [190:6155:8]
42350x (2 curves)	1	2+ 5+ 7- 11-	2+ -1 5+ 7- 11- -4 -6  4
Curve Equation t Generators 42350x1 [1,1,0,-35,-95] 1 [-4:3:1] 42350x2 [1,1,0,-310,1940] 1 [4:-30:1]
42350y (2 curves)	1	2+ 5+ 7- 11-	2+ -1 5+ 7- 11-  5  0 -5
Curve Equation t Generators 42350y1 [1,1,0,-3500,-232250] 1 [495:10690:1] 42350y2 [1,1,0,30875,5577125] 1 [95:-3110:1]
42350z (2 curves)	1	2+ 5+ 7- 11-	2+  2 5+ 7- 11-  2  3  1
Curve Equation t Generators 42350z1 [1,1,0,-7625,40515875] 1 [104335:2744020:343] 42350z2 [1,1,0,-9158250,10664391500] 1 [1745:-85:1]
42350ba (4 curves)	1	2+ 5+ 7- 11-	2+  2 5+ 7- 11-  2 -6 -2
Curve Equation t Generators 42350ba1 [1,1,0,-2763400,-1776768000] 2 [257910:46117245:8] 42350ba2 [1,1,0,-44266400,-113378335000] 2 [7022706:1233860783:216] 42350ba3 [1,1,0,6871225,-9424436875] 2 [30287573750:5435415412925:941192] 42350ba4 [1,1,0,-47336775,-96753524875] 2 [34538745571604253462:6062336926038190794541:1061769915149832]
42350bb (6 curves)	1	2+ 5+ 7- 11-	2+  2 5+ 7- 11- -4  6 -2
Curve Equation t Generators 42350bb1 [1,1,0,-1575,-49375] 2 [941:28388:1] 42350bb2 [1,1,0,-31825,-2197125] 2 [690939:20532052:729] 42350bb3 [1,1,0,13550,1024500] 2 [39:1251:1] 42350bb4 [1,1,0,-107450,11067500] 2 [-275:4600:1] 42350bb5 [1,1,0,-515825,142791125] 2 [3062:8633:8] 42350bb6 [1,1,0,-8259825,9133575125] 2 [122974782:-66481787:74088]
42350bc (2 curves)	1	2+ 5+ 7- 11-	2+ -2 5+ 7- 11-  2  2 -6
Curve Equation t Generators 42350bc1 [1,0,1,-10651,931698] 2 [21:-858:1] 42350bc2 [1,0,1,-222401,40317198] 2 [-78:7601:1]
42350bd (1 curve)	1	2+ 5+ 7- 11-	2+ -3 5+ 7- 11- -3 -2  1
Curve Equation t Generators 42350bd1 [1,-1,0,-58042,-5367884] 1 [279:173:1]
42350be (1 curve)	0	2+ 5- 7+ 11+	2+  3 5- 7+ 11+  6  3  0
Curve Equation t 42350be1 [1,-1,0,11258,580916] 1
42350bf (1 curve)	1	2+ 5- 7+ 11-	2+  0 5- 7+ 11-  0  5  1
Curve Equation t Generators 42350bf1 [1,-1,0,-2492,-161584] 1 [26467:95829:343]
42350bg (1 curve)	1	2+ 5- 7+ 11-	2+  0 5- 7+ 11-  0  5 -1
Curve Equation t Generators 42350bg1 [1,-1,0,-12062,1730196] 1 [-151:378:1]
42350bh (2 curves)	1	2+ 5- 7+ 11-	2+  0 5- 7+ 11-  2  2  2
Curve Equation t Generators 42350bh1 [1,-1,0,-28397,-6126939] 2 [3818:233739:1] 42350bh2 [1,-1,0,-705997,-227702139] 2 [246772:-15045743:64]
42350bi (2 curves)	1	2+ 5- 7+ 11-	2+  0 5- 7+ 11-  2 -4 -4
Curve Equation t Generators 42350bi1 [1,-1,0,-2290492,747310416] 2 [21254:915749:8] 42350bi2 [1,-1,0,7389508,5403390416] 2 [355035806:30593530361:195112]
42350bj (2 curves)	1	2+ 5- 7+ 11-	2+  0 5- 7+ 11- -6 -4  4
Curve Equation t Generators 42350bj1 [1,-1,0,-47152,3951756] 2 [14:1808:1] 42350bj2 [1,-1,0,-41102,4998406] 2 [25:1984:1]
42350bk (2 curves)	1	2+ 5- 7+ 11-	2+  1 5- 7+ 11- -2  0  4
Curve Equation t Generators 42350bk1 [1,0,1,-2569801,1568686348] 1 [827:2626:1] 42350bk2 [1,0,1,-207543801,1150816909548] 1 [757923795:-379517534:91125]
42350bl (2 curves)	1	2+ 5- 7+ 11-	2+  1 5- 7+ 11- -2 -3  7
Curve Equation t Generators 42350bl1 [1,0,1,13549,-508202] 1 [202:3136:1] 42350bl2 [1,0,1,-137701,27624298] 1 [197352:2229758:729]
42350bm (2 curves)	1	2+ 5- 7+ 11-	2+  1 5- 7+ 11- -2 -3 -8
Curve Equation t Generators 42350bm1 [1,0,1,-1560054576,-23717512403202] 1 [247653238587563894001:-82858627470621091595957:1972737155886713] 42350bm2 [1,0,1,-509774576,-54931020883202] 1 [561537243531142442707972136543125856283781261731859059:-191890091906550805305627356063659028634442663624414961471:4524633135357640213794678478044680708693799553059]
42350bn (1 curve)	1	2+ 5- 7+ 11-	2+ -1 5- 7+ 11-  2  7  4
Curve Equation t Generators 42350bn1 [1,1,0,13550,359000] 1 [94:1526:1]
42350bo (2 curves)	1	2+ 5- 7+ 11-	2+ -2 5- 7+ 11-  1  0  1
Curve Equation t Generators 42350bo1 [1,0,1,-134676,-67505902] 1 [3002:161546:1] 42350bo2 [1,0,1,1196324,1693673298] 1 [360730:21172866:125]
42350bp (2 curves)	0	2+ 5- 7- 11-	2+  1 5- 7- 11- -4 -6 -4
Curve Equation t 42350bp1 [1,0,1,-107451,13346298] 3 42350bp2 [1,0,1,-939326,-344359952] 1
42350bq (1 curve)	0	2+ 5- 7- 11-	2+ -3 5- 7- 11-  6  1  3
Curve Equation t 42350bq1 [1,-1,0,-21742,-1328684] 1
42350br (2 curves)	0	2- 5+ 7+ 11+	2-  2 5+ 7+ 11+  2  2 -8
Curve Equation t 42350br1 [1,1,1,1037,5281] 2 42350br2 [1,1,1,-4463,38281] 2
42350bs (1 curve)	1	2- 5+ 7+ 11-	2-  0 5+ 7+ 11- -1 -1  0
Curve Equation t Generators 42350bs1 [1,-1,1,-1255,-30753] 1 [45:26:1]
42350bt (4 curves)	1	2- 5+ 7+ 11-	2-  0 5+ 7+ 11-  2  2  0
Curve Equation t Generators 42350bt1 [1,-1,1,-11155,14919347] 2 [-217:2770:1] 42350bt2 [1,-1,1,-979155,369207347] 4 [-591:27520:1] 42350bt3 [1,-1,1,-1826155,-364294653] 2 [-731:24440:1] 42350bt4 [1,-1,1,-15620155,23765525347] 2 [4733:233946:1]
42350bu (4 curves)	1	2- 5+ 7+ 11-	2-  0 5+ 7+ 11- -6  2  0
Curve Equation t Generators 42350bu1 [1,-1,1,6995,356997] 2 [222:5935:8] 42350bu2 [1,-1,1,-53505,3865997] 4 [1630:8619:8] 42350bu3 [1,-1,1,-265255,-49071503] 2 [-42919708:280092675:140608] 42350bu4 [1,-1,1,-809755,280653497] 2 [3387612:-138028595:1728]
42350bv (1 curve)	1	2- 5+ 7+ 11-	2-  1 5+ 7+ 11-  1  4  3
Curve Equation t Generators 42350bv1 [1,0,0,42287,-105370583] 1 [3882:240059:1]
42350bw (2 curves)	1	2- 5+ 7+ 11-	2- -1 5+ 7+ 11-  1 -6 -7
Curve Equation t Generators 42350bw1 [1,1,1,-124088,28495281] 1 [655:14797:1] 42350bw2 [1,1,1,1040537,-516549219] 1 [515:12242:1]
42350bx (2 curves)	1	2- 5+ 7+ 11-	2- -1 5+ 7+ 11-  4  6 -4
Curve Equation t Generators 42350bx1 [1,1,1,-4298,105051] 1 [-71:277:1] 42350bx2 [1,1,1,-37573,-2769909] 1 [-121:212:1]
42350by (2 curves)	1	2- 5+ 7+ 11-	2- -1 5+ 7+ 11- -5  0  5
Curve Equation t Generators 42350by1 [1,1,1,-423563,307007031] 1 [63700:1858743:64] 42350by2 [1,1,1,3735812,-7404474219] 1 [89300:1424693:64]
42350bz (2 curves)	1	2- 5+ 7+ 11-	2-  2 5+ 7+ 11- -2 -3 -1
Curve Equation t Generators 42350bz1 [1,1,1,-63,-30469] 1 [2100:3043:64] 42350bz2 [1,1,1,-75688,-8046719] 1 [27700:393443:64]
42350ca (1 curve)	1	2- 5+ 7+ 11-	2-  3 5+ 7+ 11- -6 -1  3
Curve Equation t Generators 42350ca1 [1,-1,1,-543555,-166629053] 1 [129081:8746150:27]
42350cb (1 curve)	1	2- 5+ 7+ 11-	2- -3 5+ 7+ 11-  3  2 -1
Curve Equation t Generators 42350cb1 [1,-1,1,-7023105,7165722897] 1 [1059:-30780:1]
42350cc (2 curves)	1	2- 5+ 7- 11+	2-  0 5+ 7- 11+ -4  4 -4
Curve Equation t Generators 42350cc1 [1,-1,1,-182914755,-931293960253] 2 [-7461:-130670:1] 42350cc2 [1,-1,1,-2908802755,-60382911240253] 2 [-840327:518150:27]
42350cd (2 curves)	1	2- 5+ 7- 11+	2-  0 5+ 7- 11+  6 -6  6
Curve Equation t Generators 42350cd1 [1,-1,1,-1255,18747] 2 [15:48:1] 42350cd2 [1,-1,1,-20505,1135247] 2 [670:-237:8]
42350ce (1 curve)	1	2- 5+ 7- 11+	2- -3 5+ 7- 11+ -6 -3  0
Curve Equation t Generators 42350ce1 [1,-1,1,450,4557] 1 [25:163:1]
42350cf (1 curve)	0	2- 5+ 7- 11-	2-  1 5+ 7- 11- -2 -7  4
Curve Equation t 42350cf1 [1,0,0,542,2872] 1
42350cg (1 curve)	0	2- 5+ 7- 11-	2-  1 5+ 7- 11-  7  0  1
Curve Equation t 42350cg1 [1,0,0,9012,11342] 1
42350ch (2 curves)	0	2- 5+ 7- 11-	2- -1 5+ 7- 11-  2  0  4
Curve Equation t 42350ch1 [1,1,1,-64245013,196085793531] 1 42350ch2 [1,1,1,-5188595013,143852113693531] 1
42350ci (2 curves)	0	2- 5+ 7- 11-	2- -1 5+ 7- 11-  2  3  7
Curve Equation t 42350ci1 [1,1,1,542,-3849] 1 42350ci2 [1,1,1,-5508,218791] 1
42350cj (2 curves)	0	2- 5+ 7- 11-	2- -1 5+ 7- 11-  2  3 -8
Curve Equation t 42350cj1 [1,1,1,-62402183,-189765060099] 1 42350cj2 [1,1,1,-20390983,-439456323459] 1
42350ck (1 curve)	0	2- 5+ 7- 11-	2- -1 5+ 7- 11- -3  0  3
Curve Equation t 42350ck1 [1,1,1,-120546313,-509599092969] 1
42350cl (2 curves)	0	2- 5+ 7- 11-	2- -1 5+ 7- 11-  5  6 -5
Curve Equation t 42350cl1 [1,1,1,-1288713,-564797969] 1 42350cl2 [1,1,1,2371537,-2841473469] 1
42350cm (2 curves)	2	2- 5+ 7- 11-	2- -1 5+ 7- 11- -7 -6 -5
Curve Equation t Generators 42350cm1 [1,1,1,-198338,35054031] 1 [-495:3747:1]&[345:-2973:1] 42350cm2 [1,1,1,-16214338,25123502031] 1 [-3135:214067:1]&[2325:-1213:1]
42350cn (2 curves)	0	2- 5+ 7- 11-	2-  2 5+ 7- 11- -1  0  1
Curve Equation t 42350cn1 [1,1,1,-3366888,-8438237719] 1 42350cn2 [1,1,1,29908112,211709162281] 1
42350co (2 curves)	0	2- 5+ 7- 11-	2-  2 5+ 7- 11-  2  3  7
Curve Equation t 42350co1 [1,1,1,-4463,-374219] 1 42350co2 [1,1,1,39537,9217781] 1
42350cp (4 curves)	0	2- 5+ 7- 11-	2-  2 5+ 7- 11-  2  6 -2
Curve Equation t 42350cp1 [1,1,1,30187,-16486469] 2 42350cp2 [1,1,1,-816813,-272280469] 2 42350cp3 [1,1,1,-272313,451178531] 2 42350cp4 [1,1,1,-10648063,13296357031] 2
42350cq (4 curves)	0	2- 5+ 7- 11-	2-  2 5+ 7- 11- -4  0  4
Curve Equation t 42350cq1 [1,1,1,-169463,-522599219] 2 42350cq2 [1,1,1,-10817463,-13577047219] 2 42350cq3 [1,1,1,1524537,14076292781] 2 42350cq4 [1,1,1,-79000963,262577985781] 2
42350cr (1 curve)	0	2- 5+ 7- 11-	2-  3 5+ 7- 11-  1  0  7
Curve Equation t 42350cr1 [1,-1,1,-35355,-65932853] 1
42350cs (1 curve)	2	2- 5+ 7- 11-	2- -3 5+ 7- 11- -5 -8 -3
Curve Equation t Generators 42350cs1 [1,-1,1,-26280,2698347] 1 [2269:106665:1]&[-191:945:1]
42350ct (1 curve)	0	2- 5- 7+ 11-	2-  0 5- 7+ 11- -3  2 -5
Curve Equation t 42350ct1 [1,-1,1,-11155,-453703] 1
42350cu (2 curves)	0	2- 5- 7+ 11-	2-  1 5- 7+ 11-  4  6  4
Curve Equation t 42350cu1 [1,0,0,-888,-10108] 1 42350cu2 [1,0,0,-7763,258017] 1
42350cv (1 curve)	0	2- 5- 7- 11+	2-  3 5- 7- 11+ -6 -3  0
Curve Equation t 42350cv1 [1,-1,1,1362195,-777285803] 1
42350cw (1 curve)	1	2- 5- 7- 11-	2-  0 5- 7- 11-  0 -5  1
Curve Equation t Generators 42350cw1 [1,-1,1,-100,-1273] 1 [29:-155:1]
42350cx (1 curve)	1	2- 5- 7- 11-	2-  0 5- 7- 11-  0 -5 -1
Curve Equation t Generators 42350cx1 [1,-1,1,-301555,215972947] 1 [2269:104740:1]
42350cy (1 curve)	1	2- 5- 7- 11-	2-  0 5- 7- 11-  1 -6 -1
Curve Equation t Generators 42350cy1 [1,-1,1,560570,-295221803] 1 [553:13275:1]
42350cz (2 curves)	1	2- 5- 7- 11-	2-  0 5- 7- 11- -2 -2  2
Curve Equation t Generators 42350cz1 [1,-1,1,-709930,-766577303] 2 [1183:6345:1] 42350cz2 [1,-1,1,-17649930,-28480417303] 2 [243183:119782471:1]
42350da (2 curves)	1	2- 5- 7- 11-	2-  0 5- 7- 11- -2  4 -4
Curve Equation t Generators 42350da1 [1,-1,1,-91620,5996807] 2 [465:-8219:1] 42350da2 [1,-1,1,295580,43168007] 2 [729:25045:1]
42350db (2 curves)	1	2- 5- 7- 11-	2-  0 5- 7- 11-  6  4  4
Curve Equation t Generators 42350db1 [1,-1,1,-1178805,492790697] 2 [5150:2503:8] 42350db2 [1,-1,1,-1027555,623773197] 2 [-124950:6975581:216]
42350dc (2 curves)	1	2- 5- 7- 11-	2-  1 5- 7- 11-  2  0 -4
Curve Equation t Generators 42350dc1 [1,0,0,-21238,-1180508] 3 [-84:154:1] 42350dc2 [1,0,0,-1715238,-864781708] 1 [-20418:10210:27]
42350dd (2 curves)	1	2- 5- 7- 11-	2-  1 5- 7- 11- -6  3  0
Curve Equation t Generators 42350dd1 [1,0,0,-60563,6663317] 1 [-5570:383451:125] 42350dd2 [1,0,0,-160388,-551258608] 1 [1088:23172:1]

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