Cremona's table of elliptic curves

19530 = 2 · 3² · 5 · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
19530a (2 curves)	1	2+ 3+ 5+ 7+ 31+	2+ 3+ 5+ 7+  2 -2 -2  0
Curve Equation t Generators 19530a1 [1,-1,0,135,4781] 2 [10:79:1] 19530a2 [1,-1,0,-3585,79925] 2 [-65:220:1]
19530b (2 curves)	1	2+ 3+ 5+ 7+ 31+	2+ 3+ 5+ 7+ -6 -6  2  4
Curve Equation t Generators 19530b1 [1,-1,0,-2175,735245] 2 [-67:793:1] 19530b2 [1,-1,0,-136095,19189421] 2 [163:1066:1]
19530c (2 curves)	0	2+ 3+ 5+ 7- 31+	2+ 3+ 5+ 7-  0 -6  0  6
Curve Equation t 19530c1 [1,-1,0,-1313835,579969925] 2 19530c2 [1,-1,0,-1313355,580414501] 2
19530d (2 curves)	1	2+ 3+ 5+ 7- 31-	2+ 3+ 5+ 7-  0  2  8 -2
Curve Equation t Generators 19530d1 [1,-1,0,-1590,-6284] 2 [45:86:1] 19530d2 [1,-1,0,6090,-53900] 2 [63:728:1]
19530e (2 curves)	0	2+ 3+ 5- 7+ 31+	2+ 3+ 5- 7+ -4 -2  4  0
Curve Equation t 19530e1 [1,-1,0,-581484,-170523760] 2 19530e2 [1,-1,0,-581364,-170597752] 2
19530f (2 curves)	1	2+ 3+ 5- 7- 31+	2+ 3+ 5- 7-  4 -2  4  4
Curve Equation t Generators 19530f1 [1,-1,0,-3984,-93952] 2 [89:456:1] 19530f2 [1,-1,0,336,-290080] 2 [119:1134:1]
19530g (4 curves)	0	2+ 3- 5+ 7+ 31+	2+ 3- 5+ 7+  0 -2 -6 -4
Curve Equation t 19530g1 [1,-1,0,-53730,-12598124] 2 19530g2 [1,-1,0,-1205730,-508649324] 4 19530g3 [1,-1,0,-19284930,-32591997644] 2 19530g4 [1,-1,0,-1558530,-186401804] 2
19530h (4 curves)	0	2+ 3- 5+ 7+ 31+	2+ 3- 5+ 7+  0  6  2 -4
Curve Equation t 19530h1 [1,-1,0,-164430,38377476] 2 19530h2 [1,-1,0,-2976930,1977314976] 4 19530h3 [1,-1,0,-3325680,1485368226] 2 19530h4 [1,-1,0,-47628180,126527511726] 2
19530i (1 curve)	0	2+ 3- 5+ 7+ 31+	2+ 3- 5+ 7+ -1 -5  4  3
Curve Equation t 19530i1 [1,-1,0,-2535,-48259] 1
19530j (6 curves)	0	2+ 3- 5+ 7+ 31+	2+ 3- 5+ 7+ -4 -2  6  4
Curve Equation t 19530j1 [1,-1,0,-6930,-4560300] 2 19530j2 [1,-1,0,-456930,-117690300] 4 19530j3 [1,-1,0,-7292430,-7577955000] 2 19530j4 [1,-1,0,-821430,96854400] 4 19530j5 [1,-1,0,-10545480,13171812030] 2 19530j6 [1,-1,0,3070620,748383570] 2
19530k (4 curves)	1	2+ 3- 5+ 7+ 31-	2+ 3- 5+ 7+  0 -6  2 -4
Curve Equation t Generators 19530k1 [1,-1,0,-425475,50743125] 2 [75:4350:1] 19530k2 [1,-1,0,-3374595,-2350430379] 4 [8005:691374:1] 19530k3 [1,-1,0,-53774595,-151766270379] 2 [15318:1610541:1] 19530k4 [1,-1,0,-160515,-6645084075] 2 [38976053:3424257870:4913]
19530l (1 curve)	1	2+ 3- 5+ 7+ 31-	2+ 3- 5+ 7+  6  3  5 -7
Curve Equation t Generators 19530l1 [1,-1,0,450,756] 1 [15:96:1]
19530m (6 curves)	1	2+ 3- 5+ 7- 31+	2+ 3- 5+ 7-  4 -2  6  4
Curve Equation t Generators 19530m1 [1,-1,0,179010,-55348844] 2 [348:6826:1] 19530m2 [1,-1,0,-1549710,-625480700] 4 [-688:11054:1] 19530m3 [1,-1,0,-23696730,-44392421624] 2 [-349655:180718:125] 19530m4 [1,-1,0,-7062210,6632276800] 4 [3687:173384:1] 19530m5 [1,-1,0,-110397960,446491230250] 2 [201365367:2735416394:29791] 19530m6 [1,-1,0,8073540,31203653350] 2 [17072583:1763102006:6859]
19530n (1 curve)	1	2+ 3- 5+ 7- 31+	2+ 3- 5+ 7-  4 -5  5 -5
Curve Equation t Generators 19530n1 [1,-1,0,-121185,-22659075] 1 [1293:43863:1]
19530o (2 curves)	1	2+ 3- 5+ 7- 31+	2+ 3- 5+ 7- -4 -2 -2  2
Curve Equation t Generators 19530o1 [1,-1,0,-767565,-154424219] 2 [-217:1481:1] 19530o2 [1,-1,0,2381715,-1099838075] 2 [209735:-96159280:1]
19530p (2 curves)	1	2+ 3- 5+ 7- 31+	2+ 3- 5+ 7- -6  0  6  0
Curve Equation t Generators 19530p1 [1,-1,0,135,2425] 2 [8:59:1] 19530p2 [1,-1,0,-2115,35275] 2 [5:155:1]
19530q (4 curves)	0	2+ 3- 5+ 7- 31-	2+ 3- 5+ 7-  0  2 -6  2
Curve Equation t 19530q1 [1,-1,0,-594270,173349396] 2 19530q2 [1,-1,0,27810,517857300] 2 19530q3 [1,-1,0,-47898270,127605270996] 6 19530q4 [1,-1,0,-47897190,127611312300] 6
19530r (2 curves)	0	2+ 3- 5+ 7- 31-	2+ 3- 5+ 7-  3 -1  2 -5
Curve Equation t 19530r1 [1,-1,0,-89955,4242325] 1 19530r2 [1,-1,0,-46344555,121447233085] 1
19530s (1 curve)	0	2+ 3- 5+ 7- 31-	2+ 3- 5+ 7-  6 -7 -7  1
Curve Equation t 19530s1 [1,-1,0,-7421400,-7803320000] 1
19530t (4 curves)	1	2+ 3- 5- 7+ 31+	2+ 3- 5- 7+  0 -2  6  4
Curve Equation t Generators 19530t1 [1,-1,0,-1449,-15795] 2 [-14:47:1] 19530t2 [1,-1,0,-7929,260253] 4 [-18:639:1] 19530t3 [1,-1,0,-125109,17063865] 4 [-264:5757:1] 19530t4 [1,-1,0,5571,1045953] 2 [27:1089:1]
19530u (2 curves)	1	2+ 3- 5- 7+ 31+	2+ 3- 5- 7+  0  4  6  0
Curve Equation t Generators 19530u1 [1,-1,0,27846,-923072] 2 [42:544:1] 19530u2 [1,-1,0,-126504,-7745342] 2 [3129:172286:1]
19530v (2 curves)	1	2+ 3- 5- 7+ 31+	2+ 3- 5- 7+  4  0 -6 -8
Curve Equation t Generators 19530v1 [1,-1,0,-2889,-93555] 2 [129:1227:1] 19530v2 [1,-1,0,-53289,-4720275] 2 [289:1844:1]
19530w (2 curves)	1	2+ 3- 5- 7+ 31+	2+ 3- 5- 7+ -4  4 -2  0
Curve Equation t Generators 19530w1 [1,-1,0,4023966,-209384812] 2 [1627:102349:1] 19530w2 [1,-1,0,-16136034,-1664936812] 2 [4187:62424:1]
19530x (2 curves)	0	2+ 3- 5- 7+ 31-	2+ 3- 5- 7+  2  6  4  0
Curve Equation t 19530x1 [1,-1,0,-17934,-1981612] 2 19530x2 [1,-1,0,-370734,-86724172] 2
19530y (2 curves)	0	2+ 3- 5- 7+ 31-	2+ 3- 5- 7+ -2  2 -4 -8
Curve Equation t 19530y1 [1,-1,0,-117290934,5833668717940] 2 19530y2 [1,-1,0,-5629790934,161452646217940] 2
19530z (1 curve)	0	2+ 3- 5- 7+ 31-	2+ 3- 5- 7+ -2 -3  1  7
Curve Equation t 19530z1 [1,-1,0,-1449,-24755] 1
19530ba (4 curves)	0	2+ 3- 5- 7+ 31-	2+ 3- 5- 7+  4  2  2  4
Curve Equation t 19530ba1 [1,-1,0,-7929,-156947] 2 19530ba2 [1,-1,0,-111609,-14319635] 4 19530ba3 [1,-1,0,-1785609,-917944835] 2 19530ba4 [1,-1,0,-96489,-18350627] 4
19530bb (2 curves)	0	2+ 3- 5- 7- 31+	2+ 3- 5- 7-  2  4  6  4
Curve Equation t 19530bb1 [1,-1,0,-24444,-4762800] 2 19530bb2 [1,-1,0,-600444,-178599600] 2
19530bc (1 curve)	0	2+ 3- 5- 7- 31+	2+ 3- 5- 7-  5 -5  0  1
Curve Equation t 19530bc1 [1,-1,0,-54,108] 1
19530bd (2 curves)	1	2+ 3- 5- 7- 31-	2+ 3- 5- 7-  2 -6  8  0
Curve Equation t Generators 19530bd1 [1,-1,0,-55944,-19051200] 2 [399:4494:1] 19530bd2 [1,-1,0,-1467144,-682032960] 2 [4879:326627:1]
19530be (2 curves)	1	2+ 3- 5- 7- 31-	2+ 3- 5- 7- -2 -2  0  8
Curve Equation t Generators 19530be1 [1,-1,0,-1464,22220] 2 [19:22:1] 19530be2 [1,-1,0,-23514,1393730] 2 [19:967:1]
19530bf (2 curves)	1	2+ 3- 5- 7- 31-	2+ 3- 5- 7- -4 -6  2 -6
Curve Equation t Generators 19530bf1 [1,-1,0,-999,12393] 2 [12:39:1] 19530bf2 [1,-1,0,-729,19035] 2 [-9:162:1]
19530bg (2 curves)	1	2+ 3- 5- 7- 31-	2+ 3- 5- 7-  6 -1 -3 -1
Curve Equation t Generators 19530bg1 [1,-1,0,-76163409,-272008092195] 1 [31269:5268207:1] 19530bg2 [1,-1,0,439696431,-169899663267] 3 [52318758:25377455361:39304]
19530bh (4 curves)	1	2+ 3- 5- 7- 31-	2+ 3- 5- 7- -6  2  6 -4
Curve Equation t Generators 19530bh1 [1,-1,0,-1134,502740] 2 [-39:717:1] 19530bh2 [1,-1,0,-101934,12417300] 2 [99:1764:1] 19530bh3 [1,-1,0,-514494,142176708] 6 [-128:14414:1] 19530bh4 [1,-1,0,-8231994,9092933208] 6 [1669:30:1]
19530bi (2 curves)	0	2- 3+ 5+ 7+ 31+	2- 3+ 5+ 7+  4 -2 -4  0
Curve Equation t 19530bi1 [1,-1,1,-5233358,4609374877] 2 19530bi2 [1,-1,1,-5232278,4611371581] 2
19530bj (2 curves)	1	2- 3+ 5+ 7- 31+	2- 3+ 5+ 7- -4 -2 -4  4
Curve Equation t Generators 19530bj1 [1,-1,1,-443,3627] 2 [-13:90:1] 19530bj2 [1,-1,1,37,10731] 2 [5:102:1]
19530bk (2 curves)	1	2- 3+ 5- 7+ 31+	2- 3+ 5- 7+ -2 -2  2  0
Curve Equation t Generators 19530bk1 [1,-1,1,1213,-130301] 2 [97:896:1] 19530bk2 [1,-1,1,-32267,-2125709] 2 [-119:194:1]
19530bl (2 curves)	1	2- 3+ 5- 7+ 31+	2- 3+ 5- 7+  6 -6 -2  4
Curve Equation t Generators 19530bl1 [1,-1,1,-242,-27151] 2 [39:127:1] 19530bl2 [1,-1,1,-15122,-705679] 2 [-69:109:1]
19530bm (2 curves)	0	2- 3+ 5- 7- 31+	2- 3+ 5- 7-  0 -6  0  6
Curve Equation t 19530bm1 [1,-1,1,-11824517,-15647363459] 2 19530bm2 [1,-1,1,-11820197,-15659371331] 2
19530bn (2 curves)	1	2- 3+ 5- 7- 31-	2- 3+ 5- 7-  0  2 -8 -2
Curve Equation t Generators 19530bn1 [1,-1,1,-14312,183979] 2 [-41:857:1] 19530bn2 [1,-1,1,54808,1400491] 2 [29:1721:1]
19530bo (1 curve)	1	2- 3- 5+ 7+ 31+	2- 3- 5+ 7+  1 -1 -6  3
Curve Equation t Generators 19530bo1 [1,-1,1,-1118,-14003] 1 [-19:19:1]
19530bp (1 curve)	1	2- 3- 5+ 7+ 31+	2- 3- 5+ 7+ -2 -1  1 -5
Curve Equation t Generators 19530bp1 [1,-1,1,247,3287] 1 [30:503:8]
19530bq (2 curves)	0	2- 3- 5+ 7+ 31-	2- 3- 5+ 7+ -2  4  4 -4
Curve Equation t 19530bq1 [1,-1,1,-2048,-38253] 2 19530bq2 [1,-1,1,-33548,-2356653] 2
19530br (1 curve)	0	2- 3- 5+ 7+ 31-	2- 3- 5+ 7+  4  1  1  5
Curve Equation t 19530br1 [1,-1,1,541102,221666001] 1
19530bs (1 curve)	0	2- 3- 5+ 7- 31+	2- 3- 5+ 7- -1  1  8  7
Curve Equation t 19530bs1 [1,-1,1,-788,-7779] 1
19530bt (2 curves)	0	2- 3- 5+ 7- 31+	2- 3- 5+ 7-  2  4 -4  4
Curve Equation t 19530bt1 [1,-1,1,2137,130767] 2 19530bt2 [1,-1,1,-29363,1781367] 2
19530bu (2 curves)	1	2- 3- 5+ 7- 31-	2- 3- 5+ 7-  0 -1 -3 -7
Curve Equation t Generators 19530bu1 [1,-1,1,-3488,-78469] 1 [207:2731:1] 19530bu2 [1,-1,1,3937,-352249] 3 [63:346:1]
19530bv (4 curves)	1	2- 3- 5+ 7- 31-	2- 3- 5+ 7-  0  2  0 -4
Curve Equation t Generators 19530bv1 [1,-1,1,57892,-8364769] 2 [145:1677:1] 19530bv2 [1,-1,1,-436028,-88972513] 2 [-303:4057:1] 19530bv3 [1,-1,1,-548483,301084931] 6 [-485:21522:1] 19530bv4 [1,-1,1,-10870403,13789769987] 6 [-3783:29512:1]
19530bw (2 curves)	1	2- 3- 5+ 7- 31-	2- 3- 5+ 7-  0  2 -4  4
Curve Equation t Generators 19530bw1 [1,-1,1,-23,2031] 2 [5:42:1] 19530bw2 [1,-1,1,-2543,49407] 2 [-43:300:1]
19530bx (4 curves)	1	2- 3- 5+ 7- 31-	2- 3- 5+ 7-  0 -4  6 -4
Curve Equation t Generators 19530bx1 [1,-1,1,-1013,-341719] 2 [10806:391493:8] 19530bx2 [1,-1,1,-79763,-8563219] 2 [7949574:-290517803:5832] 19530bx3 [1,-1,1,9112,9220331] 6 [-185:1177:1] 19530bx4 [1,-1,1,-608288,178140971] 6 [547:2701:1]
19530by (2 curves)	1	2- 3- 5+ 7- 31-	2- 3- 5+ 7- -3 -1  0 -1
Curve Equation t Generators 19530by1 [1,-1,1,-12983,-565873] 1 [-65:46:1] 19530by2 [1,-1,1,-39758,2380637] 3 [25:1171:1]
19530bz (2 curves)	0	2- 3- 5- 7+ 31+	2- 3- 5- 7+  0  6  4 -8
Curve Equation t 19530bz1 [1,-1,1,103,-331] 2 19530bz2 [1,-1,1,-527,-2599] 2
19530ca (1 curve)	0	2- 3- 5- 7+ 31+	2- 3- 5- 7+ -2  1 -3 -3
Curve Equation t 19530ca1 [1,-1,1,-7907,286449] 1
19530cb (1 curve)	0	2- 3- 5- 7+ 31+	2- 3- 5- 7+  5  1  4 -3
Curve Equation t 19530cb1 [1,-1,1,-160158422,723630850021] 1
19530cc (1 curve)	1	2- 3- 5- 7+ 31-	2- 3- 5- 7+  0 -5 -3  3
Curve Equation t Generators 19530cc1 [1,-1,1,-4442,286841] 1 [21:439:1]
19530cd (4 curves)	1	2- 3- 5- 7+ 31-	2- 3- 5- 7+  4 -6 -2 -8
Curve Equation t Generators 19530cd1 [1,-1,1,418,3309] 2 [9:83:1] 19530cd2 [1,-1,1,-2462,33261] 4 [-19:279:1] 19530cd3 [1,-1,1,-15062,-682419] 2 [-61:111:1] 19530cd4 [1,-1,1,-35942,2631309] 2 [-73:2241:1]
19530ce (1 curve)	1	2- 3- 5- 7- 31+	2- 3- 5- 7-  2 -5 -3  1
Curve Equation t Generators 19530ce1 [1,-1,1,-2147,219611] 1 [-51:466:1]
19530cf (2 curves)	1	2- 3- 5- 7- 31+	2- 3- 5- 7- -4 -2  6 -2
Curve Equation t Generators 19530cf1 [1,-1,1,-24782,-1491811] 2 [-93:91:1] 19530cf2 [1,-1,1,-15062,-2681539] 2 [291:4039:1]
19530cg (3 curves)	0	2- 3- 5- 7- 31-	2- 3- 5- 7- -3  5  6 -7
Curve Equation t 19530cg1 [1,-1,1,-5297,-147049] 1 19530cg2 [1,-1,1,-5882,-112111] 3 19530cg3 [1,-1,1,-191417,32276441] 3

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