Cremona's table of elliptic curves

19350 = 2 · 3² · 5² · 43

Class	r	Atkin-Lehner	Eigenvalues
19350a (2 curves)	1	2+ 3+ 5+ 43+	2+ 3+ 5+  0  0  6  2  2
Curve Equation t Generators 19350a1 [1,-1,0,-567,3341] 2 [-1:63:1] 19350a2 [1,-1,0,-8067,280841] 2 [-1:538:1]
19350b (2 curves)	1	2+ 3+ 5+ 43+	2+ 3+ 5+  1 -3  1  6 -1
Curve Equation t Generators 19350b1 [1,-1,0,-5217,146941] 1 [50:71:1] 19350b2 [1,-1,0,12783,768941] 1 [-50:79:1]
19350c (4 curves)	1	2+ 3+ 5+ 43+	2+ 3+ 5+  4  0 -2 -6  2
Curve Equation t Generators 19350c1 [1,-1,0,-512067,141104341] 2 [399:238:1] 19350c2 [1,-1,0,-8192067,9026864341] 2 [1599:2963:1] 19350c3 [1,-1,0,-1568067,-586799659] 2 [-975491:17758058:1331] 19350c4 [1,-1,0,-8318067,8734950341] 2 [-2111:130993:1]
19350d (1 curve)	0	2+ 3+ 5+ 43-	2+ 3+ 5+ -1 -2  4  6  4
Curve Equation t 19350d1 [1,-1,0,-11367,469541] 1
19350e (2 curves)	0	2+ 3+ 5+ 43-	2+ 3+ 5+  2 -2  2  4  0
Curve Equation t 19350e1 [1,-1,0,-16917,-813259] 2 19350e2 [1,-1,0,-43917,2453741] 2
19350f (2 curves)	0	2+ 3+ 5+ 43-	2+ 3+ 5+  2 -2 -2  0 -8
Curve Equation t 19350f1 [1,-1,0,-54792,-4168384] 2 19350f2 [1,-1,0,-246792,43255616] 2
19350g (1 curve)	0	2+ 3+ 5+ 43-	2+ 3+ 5+  5  2 -4  2  0
Curve Equation t 19350g1 [1,-1,0,33,-179] 1
19350h (1 curve)	0	2+ 3+ 5- 43+	2+ 3+ 5-  1  2 -4  6  4
Curve Equation t 19350h1 [1,-1,0,-4092,-99784] 1
19350i (1 curve)	0	2+ 3+ 5- 43+	2+ 3+ 5- -5 -2  4  2  0
Curve Equation t 19350i1 [1,-1,0,7383,574541] 1
19350j (1 curve)	0	2+ 3- 5+ 43+	2+ 3- 5+  0 -3  0 -7 -7
Curve Equation t 19350j1 [1,-1,0,18633,124541] 1
19350k (4 curves)	0	2+ 3- 5+ 43+	2+ 3- 5+  0 -4  6 -6 -8
Curve Equation t 19350k1 [1,-1,0,149958,-28983884] 2 19350k2 [1,-1,0,-1002042,-292791884] 4 19350k3 [1,-1,0,-14934042,-22207827884] 2 19350k4 [1,-1,0,-5502042,4724708116] 2
19350l (2 curves)	0	2+ 3- 5+ 43+	2+ 3- 5+  1  0  4 -6  2
Curve Equation t 19350l1 [1,-1,0,-72,-374] 1 19350l2 [1,-1,0,603,6781] 1
19350m (1 curve)	0	2+ 3- 5+ 43+	2+ 3- 5+ -1 -4 -4  6  6
Curve Equation t 19350m1 [1,-1,0,15418008,-22587963584] 1
19350n (2 curves)	0	2+ 3- 5+ 43+	2+ 3- 5+ -2  0 -2  6  4
Curve Equation t 19350n1 [1,-1,0,-431217,-108697059] 2 19350n2 [1,-1,0,-287217,-182569059] 2
19350o (4 curves)	0	2+ 3- 5+ 43+	2+ 3- 5+ -2  6 -2  0  2
Curve Equation t 19350o1 [1,-1,0,-24192,-423284] 2 19350o2 [1,-1,0,-305442,-64829534] 2 19350o3 [1,-1,0,-1121067,457142341] 2 19350o4 [1,-1,0,-1166067,418487341] 2
19350p (1 curve)	0	2+ 3- 5+ 43+	2+ 3- 5+  3  0  3 -4 -1
Curve Equation t 19350p1 [1,-1,0,3558,19466] 1
19350q (1 curve)	0	2+ 3- 5+ 43+	2+ 3- 5+  3 -4  3  0  7
Curve Equation t 19350q1 [1,-1,0,27051739308,11310686524075216] 1
19350r (1 curve)	0	2+ 3- 5+ 43+	2+ 3- 5+  3  5  3  0  7
Curve Equation t 19350r1 [1,-1,0,-3267,-78359] 1
19350s (2 curves)	2	2+ 3- 5+ 43+	2+ 3- 5+ -4 -4 -4  0  0
Curve Equation t Generators 19350s1 [1,-1,0,558,13216] 2 [-7:98:1]&[-1:113:1] 19350s2 [1,-1,0,-6192,168466] 2 [-61:593:1]&[-21:548:1]
19350t (2 curves)	1	2+ 3- 5+ 43-	2+ 3- 5+  0  0  4  0  4
Curve Equation t Generators 19350t1 [1,-1,0,-6192,297216] 2 [39:318:1] 19350t2 [1,-1,0,-114192,14877216] 2 [-291:4983:1]
19350u (2 curves)	1	2+ 3- 5+ 43-	2+ 3- 5+  0 -6 -2  0 -2
Curve Equation t Generators 19350u1 [1,-1,0,-34768692,78719337216] 2 [13404:1414848:1] 19350u2 [1,-1,0,-20706192,142970899716] 2 [-1077:405534:1]
19350v (1 curve)	1	2+ 3- 5+ 43-	2+ 3- 5+ -1  0 -7 -4  1
Curve Equation t Generators 19350v1 [1,-1,0,1139958,16130480116] 1 [2879:206573:1]
19350w (1 curve)	1	2+ 3- 5+ 43-	2+ 3- 5+ -1  4  1  0  1
Curve Equation t Generators 19350w1 [1,-1,0,-4542,-116884] 1 [79:73:1]
19350x (1 curve)	1	2+ 3- 5+ 43-	2+ 3- 5+  2 -1 -4  5 -3
Curve Equation t Generators 19350x1 [1,-1,0,-3312,-80024] 1 [363:6634:1]
19350y (2 curves)	1	2+ 3- 5+ 43-	2+ 3- 5+  2  2  2 -4 -6
Curve Equation t Generators 19350y1 [1,-1,0,-8442,-198284] 2 [-51:338:1] 19350y2 [1,-1,0,-53442,4616716] 2 [-151:3113:1]
19350z (1 curve)	1	2+ 3- 5+ 43-	2+ 3- 5+  2  3 -1  2 -8
Curve Equation t Generators 19350z1 [1,-1,0,-2322,-44204] 1 [308:5174:1]
19350ba (4 curves)	1	2+ 3- 5+ 43-	2+ 3- 5+ -4  0  2  2  4
Curve Equation t Generators 19350ba1 [1,-1,0,-15417,739741] 2 [29:548:1] 19350ba2 [1,-1,0,-19917,276241] 4 [-136:743:1] 19350ba3 [1,-1,0,-188667,-31280009] 2 [-235:311:1] 19350ba4 [1,-1,0,76833,2114491] 2 [-7:1259:1]
19350bb (1 curve)	1	2+ 3- 5+ 43-	2+ 3- 5+ -4  5 -7  2  0
Curve Equation t Generators 19350bb1 [1,-1,0,-368757,-86098379] 1 [364538:219914243:1]
19350bc (1 curve)	1	2+ 3- 5+ 43-	2+ 3- 5+ -4 -5 -2 -3 -5
Curve Equation t Generators 19350bc1 [1,-1,0,-132,1016] 1 [5:19:1]
19350bd (1 curve)	1	2+ 3- 5+ 43-	2+ 3- 5+  5 -1  3  0 -7
Curve Equation t Generators 19350bd1 [1,-1,0,558,13716] 1 [-12:78:1]
19350be (1 curve)	1	2+ 3- 5- 43+	2+ 3- 5-  1  0 -1  4 -3
Curve Equation t Generators 19350be1 [1,-1,0,-1872,-414464] 1 [179:2138:1]
19350bf (1 curve)	1	2+ 3- 5- 43+	2+ 3- 5-  2 -1 -3 -2  4
Curve Equation t Generators 19350bf1 [1,-1,0,-2865492,1867727916] 1 [978:-462:1]
19350bg (2 curves)	1	2+ 3- 5- 43+	2+ 3- 5-  2 -6  2 -2  4
Curve Equation t Generators 19350bg1 [1,-1,0,82008,-14779584] 2 [519:12678:1] 19350bg2 [1,-1,0,-637992,-159499584] 2 [903:-141:1]
19350bh (1 curve)	1	2+ 3- 5- 43+	2+ 3- 5- -2  1  2  3  1
Curve Equation t Generators 19350bh1 [1,-1,0,-2735367,-1740619459] 1 [2413134727381630805:910873941546977133058:16889532268393]
19350bi (1 curve)	1	2+ 3- 5- 43+	2+ 3- 5- -2  5 -2 -5 -3
Curve Equation t Generators 19350bi1 [1,-1,0,1233,26541] 1 [-11:113:1]
19350bj (1 curve)	1	2+ 3- 5- 43+	2+ 3- 5- -2 -5 -7  6  4
Curve Equation t Generators 19350bj1 [1,-1,0,183,-1459] 1 [10:31:1]
19350bk (1 curve)	1	2+ 3- 5- 43+	2+ 3- 5-  5  0 -1  4  1
Curve Equation t Generators 19350bk1 [1,-1,0,-72,486] 1 [9:18:1]
19350bl (2 curves)	0	2+ 3- 5- 43-	2+ 3- 5-  0  4 -2  0 -2
Curve Equation t 19350bl1 [1,-1,0,-49070367,-133036209459] 2 19350bl2 [1,-1,0,-786350367,-8487155889459] 2
19350bm (1 curve)	0	2+ 3- 5- 43-	2+ 3- 5- -3  4  1  0  7
Curve Equation t 19350bm1 [1,-1,0,7713,22221] 1
19350bn (2 curves)	2	2+ 3- 5- 43-	2+ 3- 5- -4  0 -2 -4 -6
Curve Equation t Generators 19350bn1 [1,-1,0,243,1701] 2 [3:48:1]&[9:63:1] 19350bn2 [1,-1,0,-1557,17901] 2 [-41:128:1]&[-21:213:1]
19350bo (2 curves)	0	2- 3+ 5+ 43+	2- 3+ 5+  0  0  6 -2  2
Curve Equation t 19350bo1 [1,-1,1,-5105,-85103] 2 19350bo2 [1,-1,1,-72605,-7510103] 2
19350bp (2 curves)	0	2- 3+ 5+ 43+	2- 3+ 5+  1  3  1 -6 -1
Curve Equation t 19350bp1 [1,-1,1,1420,-28953] 1 19350bp2 [1,-1,1,-46955,-3920453] 1
19350bq (4 curves)	0	2- 3+ 5+ 43+	2- 3+ 5+  4  0 -2  6  2
Curve Equation t 19350bq1 [1,-1,1,-174230,21791397] 2 19350bq2 [1,-1,1,-924230,-323208603] 2 19350bq3 [1,-1,1,-4608605,-3805208603] 2 19350bq4 [1,-1,1,-73728605,-243651608603] 2
19350br (1 curve)	1	2- 3+ 5+ 43-	2- 3+ 5+ -1  2  4 -6  4
Curve Equation t Generators 19350br1 [1,-1,1,-102305,-12575303] 1 [1818065:915844:4913]
19350bs (2 curves)	1	2- 3+ 5+ 43-	2- 3+ 5+  2  2  2 -4  0
Curve Equation t Generators 19350bs1 [1,-1,1,-1880,30747] 2 [39:105:1] 19350bs2 [1,-1,1,-4880,-89253] 2 [-25:141:1]
19350bt (2 curves)	1	2- 3+ 5+ 43-	2- 3+ 5+  2  2 -2  0 -8
Curve Equation t Generators 19350bt1 [1,-1,1,-493130,113039497] 2 [689:9655:1] 19350bt2 [1,-1,1,-2221130,-1165680503] 2 [-767:9671:1]
19350bu (1 curve)	1	2- 3+ 5+ 43-	2- 3+ 5+  5 -2 -4 -2  0
Curve Equation t Generators 19350bu1 [1,-1,1,295,4537] 1 [-5:56:1]
19350bv (1 curve)	1	2- 3+ 5- 43+	2- 3+ 5-  1 -2 -4 -6  4
Curve Equation t Generators 19350bv1 [1,-1,1,-455,3847] 1 [13:-4:1]
19350bw (1 curve)	1	2- 3+ 5- 43+	2- 3+ 5- -5  2  4 -2  0
Curve Equation t Generators 19350bw1 [1,-1,1,820,-21553] 1 [69:-635:1]
19350bx (3 curves)	1	2- 3- 5+ 43+	2- 3- 5+  1  6 -5 -6 -7
Curve Equation t Generators 19350bx1 [1,-1,1,895,-53103] 1 [59:420:1] 19350bx2 [1,-1,1,-8105,1476897] 1 [29:1110:1] 19350bx3 [1,-1,1,-1265855,548501397] 1 [329608:-24435:512]
19350by (2 curves)	1	2- 3- 5+ 43+	2- 3- 5+ -1 -5  7  4 -1
Curve Equation t Generators 19350by1 [1,-1,1,35770,-5826603] 1 [233:3771:1] 19350by2 [1,-1,1,-13477730,19050287397] 1 [2033:6021:1]
19350bz (2 curves)	1	2- 3- 5+ 43+	2- 3- 5+  2  4 -2 -2 -4
Curve Equation t Generators 19350bz1 [1,-1,1,-455,-453] 2 [39:180:1] 19350bz2 [1,-1,1,1795,-4953] 2 [222:1935:8]
19350ca (4 curves)	1	2- 3- 5+ 43+	2- 3- 5+ -2  0 -2 -6  8
Curve Equation t Generators 19350ca1 [1,-1,1,-3952355,-3023213853] 2 [11109:1145070:1] 19350ca2 [1,-1,1,-3727355,-3382763853] 2 [3809127:-396687460:343] 19350ca3 [1,-1,1,-7718855,3587601147] 2 [-5965568098:-2348597636925:33386248] 19350ca4 [1,-1,1,27437395,27142288647] 2 [654692694657495791682:-76020601563280455862675:62279020549454968]
19350cb (1 curve)	0	2- 3- 5+ 43-	2- 3- 5+  1  1 -1  4  1
Curve Equation t 19350cb1 [1,-1,1,-9927905,-12037959403] 1
19350cc (1 curve)	0	2- 3- 5+ 43-	2- 3- 5+  1  4  5 -8 -5
Curve Equation t 19350cc1 [1,-1,1,-10130,-719503] 1
19350cd (1 curve)	0	2- 3- 5+ 43-	2- 3- 5+  2  1 -2 -3  1
Curve Equation t 19350cd1 [1,-1,1,-109415,-13903073] 1
19350ce (1 curve)	0	2- 3- 5+ 43-	2- 3- 5+  2  5  2  5 -3
Curve Equation t 19350ce1 [1,-1,1,30820,3348447] 1
19350cf (1 curve)	0	2- 3- 5+ 43-	2- 3- 5+  2 -5  7 -6  4
Curve Equation t 19350cf1 [1,-1,1,4570,-177803] 1
19350cg (1 curve)	0	2- 3- 5+ 43-	2- 3- 5+ -2 -1  3  2  4
Curve Equation t 19350cg1 [1,-1,1,-114620,14964747] 1
19350ch (2 curves)	0	2- 3- 5+ 43-	2- 3- 5+ -2 -2  2  4 -2
Curve Equation t 19350ch1 [1,-1,1,-19355,-923353] 2 19350ch2 [1,-1,1,-300605,-63360853] 2
19350ci (2 curves)	0	2- 3- 5+ 43-	2- 3- 5+  4  2  6 -4 -2
Curve Equation t 19350ci1 [1,-1,1,-42980,-3151353] 2 19350ci2 [1,-1,1,47020,-14671353] 2
19350cj (2 curves)	0	2- 3- 5+ 43-	2- 3- 5+  4  4 -4  4  4
Curve Equation t 19350cj1 [1,-1,1,-2307605,1399708397] 2 19350cj2 [1,-1,1,-37299605,87689980397] 2
19350ck (4 curves)	2	2- 3- 5+ 43-	2- 3- 5+ -4 -4 -6 -6 -4
Curve Equation t Generators 19350ck1 [1,-1,1,-5405,98597] 2 [-75:316:1]&[-41:520:1] 19350ck2 [1,-1,1,-77405,8306597] 4 [-141:4120:1]&[-21:3160:1] 19350ck3 [1,-1,1,-1238405,530756597] 2 [645:-224:1]&[753:4600:1] 19350ck4 [1,-1,1,-68405,10304597] 2 [-135:4198:1]&[-27:3496:1]
19350cl (1 curve)	0	2- 3- 5+ 43-	2- 3- 5+  5  2  5  2  3
Curve Equation t 19350cl1 [1,-1,1,-318380,-69900753] 1
19350cm (2 curves)	0	2- 3- 5- 43+	2- 3- 5-  0  4  2  0 -2
Curve Equation t 19350cm1 [1,-1,1,-1962815,-1063897113] 2 19350cm2 [1,-1,1,-31454015,-67890956313] 2
19350cn (1 curve)	0	2- 3- 5- 43+	2- 3- 5- -2 -1  4 -5 -3
Curve Equation t 19350cn1 [1,-1,1,-82805,-10085803] 1
19350co (1 curve)	0	2- 3- 5- 43+	2- 3- 5- -2  3  1 -2 -8
Curve Equation t 19350co1 [1,-1,1,-58055,-5583553] 1
19350cp (1 curve)	0	2- 3- 5- 43+	2- 3- 5-  3  4 -1  0  7
Curve Equation t 19350cp1 [1,-1,1,192820,2970447] 1
19350cq (2 curves)	0	2- 3- 5- 43+	2- 3- 5-  4  0  2  4 -6
Curve Equation t 19350cq1 [1,-1,1,6070,218697] 2 19350cq2 [1,-1,1,-38930,2198697] 2
19350cr (1 curve)	0	2- 3- 5- 43+	2- 3- 5-  4  5  7 -2  0
Curve Equation t 19350cr1 [1,-1,1,-9218930,-10771516303] 1
19350cs (1 curve)	0	2- 3- 5- 43+	2- 3- 5-  4 -5  2  3 -5
Curve Equation t 19350cs1 [1,-1,1,-3305,123697] 1
19350ct (1 curve)	1	2- 3- 5- 43-	2- 3- 5-  0 -3  0  7 -7
Curve Equation t Generators 19350ct1 [1,-1,1,745,847] 1 [29:200:1]
19350cu (1 curve)	1	2- 3- 5- 43-	2- 3- 5-  1 -4  4 -6  6
Curve Equation t Generators 19350cu1 [1,-1,1,616720,-180827053] 1 [3069:173425:1]
19350cv (1 curve)	1	2- 3- 5- 43-	2- 3- 5- -1  0  1 -4 -3
Curve Equation t Generators 19350cv1 [1,-1,1,-46805,-51854803] 1 [1119:35440:1]
19350cw (2 curves)	1	2- 3- 5- 43-	2- 3- 5- -1  0 -4  6  2
Curve Equation t Generators 19350cw1 [1,-1,1,-1805,-48553] 1 [3540:6919:64] 19350cw2 [1,-1,1,15070,862697] 3 [219:3715:1]
19350cx (2 curves)	1	2- 3- 5- 43-	2- 3- 5- -2 -6 -2  2  4
Curve Equation t Generators 19350cx1 [1,-1,1,3280,-118893] 2 [45:321:1] 19350cx2 [1,-1,1,-25520,-1270893] 2 [-111:485:1]
19350cy (1 curve)	1	2- 3- 5- 43-	2- 3- 5- -5  0  1 -4  1
Curve Equation t Generators 19350cy1 [1,-1,1,-1805,58947] 1 [-98:2295:8]

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