Cremona's table of elliptic curves

121410 = 2 · 3² · 5 · 19 · 71

Class	r	Atkin-Lehner	Eigenvalues
121410a (4 curves)	0	2+ 3- 5+ 19+ 71+	2+ 3- 5+  0  0 -2  2 19+
Curve Equation t 121410a1 [1,-1,0,-93825,128061] 2 121410a2 [1,-1,0,-1026945,-399060675] 4 121410a3 [1,-1,0,-566865,-758751219] 2 121410a4 [1,-1,0,-16416945,-25598646675] 2
121410b (2 curves)	1	2+ 3- 5+ 19+ 71-	2+ 3- 5+  2 -6  0  2 19+
Curve Equation t Generators 121410b1 [1,-1,0,10530,-127980] 2 [21:309:1] 121410b2 [1,-1,0,-44190,-1014444] 2 [-183:1050:1]
121410c (2 curves)	1	2+ 3- 5+ 19- 71+	2+ 3- 5+  2  4  2 -4 19-
Curve Equation t Generators 121410c1 [1,-1,0,66465,2299981] 2 [19270:493357:125] 121410c2 [1,-1,0,-283455,19166125] 2 [-115:7145:1]
121410d (1 curve)	1	2+ 3- 5+ 19- 71+	2+ 3- 5+ -5  2 -1 -1 19-
Curve Equation t Generators 121410d1 [1,-1,0,-61875,108203125] 1 [5625:418750:1]
121410e (2 curves)	2	2+ 3- 5+ 19- 71-	2+ 3- 5+ -1  0  2 -6 19-
Curve Equation t Generators 121410e1 [1,-1,0,225,-16875] 1 [25:50:1]&[93:849:1] 121410e2 [1,-1,0,-2025,456975] 3 [-75:465:1]&[-65:590:1]
121410f (2 curves)	2	2+ 3- 5+ 19- 71-	2+ 3- 5+ -2 -2 -6  0 19-
Curve Equation t Generators 121410f1 [1,-1,0,-43200,3499200] 2 [45:-1305:1]&[-144:2664:1] 121410f2 [1,-1,0,-693000,222221880] 2 [463:443:1]&[37:14004:1]
121410g (4 curves)	2	2+ 3- 5+ 19- 71-	2+ 3- 5+ -4  0 -4  0 19-
Curve Equation t Generators 121410g1 [1,-1,0,-47295,-6858675] 2 [645:-15510:1]&[441:7389:1] 121410g2 [1,-1,0,-902295,-329535675] 2 [-557:314:1]&[1441:36170:1] 121410g3 [1,-1,0,398205,127253025] 6 [-264:2049:1]&[-99:9369:1] 121410g4 [1,-1,0,-2688345,1295820855] 6 [-9874:423127:8]&[3511:185670:1]
121410h (2 curves)	1	2+ 3- 5- 19+ 71+	2+ 3- 5-  2  2 -4  2 19+
Curve Equation t Generators 121410h1 [1,-1,0,-1551969,5570331133] 2 [3429:199676:1] 121410h2 [1,-1,0,-57585249,167360823805] 2 [-1294:490247:1]
121410i (2 curves)	1	2+ 3- 5- 19+ 71+	2+ 3- 5-  2  2 -4 -4 19+
Curve Equation t Generators 121410i1 [1,-1,0,-6444,-803300] 2 [206:-2668:1] 121410i2 [1,-1,0,-175194,-28107050] 2 [-249:302:1]
121410j (2 curves)	1	2+ 3- 5- 19+ 71+	2+ 3- 5- -2  6 -4  0 19+
Curve Equation t Generators 121410j1 [1,-1,0,3006,106708] 2 [12:-386:1] 121410j2 [1,-1,0,-23994,1181308] 2 [-103:1649:1]
121410k (1 curve)	0	2+ 3- 5- 19+ 71-	2+ 3- 5- -1  2 -6  4 19+
Curve Equation t 121410k1 [1,-1,0,-2484,-49712] 1
121410l (1 curve)	0	2+ 3- 5- 19+ 71-	2+ 3- 5-  4  0 -3  2 19+
Curve Equation t 121410l1 [1,-1,0,-699,-16507] 1
121410m (2 curves)	0	2+ 3- 5- 19- 71+	2+ 3- 5-  0  2  0  0 19-
Curve Equation t 121410m1 [1,-1,0,-4866084,-4130369712] 2 121410m2 [1,-1,0,-4814964,-4221434880] 2
121410n (2 curves)	0	2+ 3- 5- 19- 71+	2+ 3- 5-  0  2  6  6 19-
Curve Equation t 121410n1 [1,-1,0,-87354,11835828] 2 121410n2 [1,-1,0,-1469754,686170548] 2
121410o (2 curves)	0	2+ 3- 5- 19- 71+	2+ 3- 5-  2  0  4  4 19-
Curve Equation t 121410o1 [1,-1,0,2646,-140940] 2 121410o2 [1,-1,0,-29754,-1754460] 2
121410p (2 curves)	0	2+ 3- 5- 19- 71+	2+ 3- 5-  2  4  0 -4 19-
Curve Equation t 121410p1 [1,-1,0,15788601,-33791689107] 2 121410p2 [1,-1,0,-110773899,-349463876607] 2
121410q (2 curves)	0	2+ 3- 5- 19- 71+	2+ 3- 5- -2  0 -4  0 19-
Curve Equation t 121410q1 [1,-1,0,-25189434,-48685443660] 2 121410q2 [1,-1,0,-403103034,-3115000811340] 2
121410r (4 curves)	0	2+ 3- 5- 19- 71+	2+ 3- 5- -4  6  2 -6 19-
Curve Equation t 121410r1 [1,-1,0,-34822899,-301200702795] 2 121410r2 [1,-1,0,-920557899,-10724353035795] 2 121410r3 [1,-1,0,309892041,7634821055913] 6 121410r4 [1,-1,0,-4436201709,104634535899663] 6
121410s (1 curve)	1	2- 3- 5+ 19+ 71+	2- 3- 5+  3 -2  1  7 19+
Curve Equation t Generators 121410s1 [1,-1,1,-6113,-182969] 1 [287762350:444831907:3112136]
121410t (2 curves)	0	2- 3- 5+ 19+ 71-	2- 3- 5+ -2  6  4 -4 19+
Curve Equation t 121410t1 [1,-1,1,32623492,-360952052673] 2 121410t2 [1,-1,1,-604386428,-5373455711169] 2
121410u (2 curves)	0	2- 3- 5+ 19- 71+	2- 3- 5+  0  6  4 -2 19-
Curve Equation t 121410u1 [1,-1,1,-167153,-25591903] 2 121410u2 [1,-1,1,-2655473,-1664897119] 2
121410v (2 curves)	0	2- 3- 5+ 19- 71+	2- 3- 5+  4 -4  2  2 19-
Curve Equation t 121410v1 [1,-1,1,-2627078,643979157] 2 121410v2 [1,-1,1,-22380998,-40301946219] 2
121410w (2 curves)	0	2- 3- 5+ 19- 71+	2- 3- 5+ -4  0 -2  0 19-
Curve Equation t 121410w1 [1,-1,1,-102488,-16149733] 2 121410w2 [1,-1,1,-1764608,-901727269] 2
121410x (2 curves)	1	2- 3- 5+ 19- 71-	2- 3- 5+  0  0  2  2 19-
Curve Equation t Generators 121410x1 [1,-1,1,-428,-993] 2 [-3:17:1] 121410x2 [1,-1,1,-3848,92031] 2 [5:267:1]
121410y (2 curves)	1	2- 3- 5+ 19- 71-	2- 3- 5+  0 -6 -4 -4 19-
Curve Equation t Generators 121410y1 [1,-1,1,-337941068,-2391077294769] 2 [-52097435:22176261:4913] 121410y2 [1,-1,1,-334669388,-2439644730033] 2 [3173817669:-2551486911291:4913]
121410z (2 curves)	1	2- 3- 5+ 19- 71-	2- 3- 5+  2 -2  4 -4 19-
Curve Equation t Generators 121410z1 [1,-1,1,1822,-592419] 2 [958:8751:8] 121410z2 [1,-1,1,-95648,-11041203] 2 [4606:86955:8]
121410ba (2 curves)	1	2- 3- 5+ 19- 71-	2- 3- 5+  2 -2 -4  2 19-
Curve Equation t Generators 121410ba1 [1,-1,1,45292,29155047] 2 [-1730:25143:8] 121410ba2 [1,-1,1,-1189328,477569031] 2 [501:2447:1]
121410bb (2 curves)	1	2- 3- 5+ 19- 71-	2- 3- 5+  4 -2  0  6 19-
Curve Equation t Generators 121410bb1 [1,-1,1,-795038,-272624083] 2 [1425:37843:1] 121410bb2 [1,-1,1,-864158,-222360019] 2 [-399:7867:1]
121410bc (2 curves)	0	2- 3- 5- 19+ 71+	2- 3- 5-  0  0 -2 -4 19+
Curve Equation t 121410bc1 [1,-1,1,-8537,-303051] 2 121410bc2 [1,-1,1,-136787,-19437951] 2
121410bd (2 curves)	0	2- 3- 5- 19+ 71+	2- 3- 5-  4  0  2 -6 19+
Curve Equation t 121410bd1 [1,-1,1,-249647,-37664841] 2 121410bd2 [1,-1,1,-3751727,-2795903049] 2
121410be (2 curves)	0	2- 3- 5- 19+ 71+	2- 3- 5-  4  6 -4 -4 19+
Curve Equation t 121410be1 [1,-1,1,50008,-1059109] 2 121410be2 [1,-1,1,-206492,-8446309] 2
121410bf (2 curves)	0	2- 3- 5- 19+ 71+	2- 3- 5- -4  0  6  4 19+
Curve Equation t 121410bf1 [1,-1,1,-9842,19940109] 2 121410bf2 [1,-1,1,-1164092,477946509] 2
121410bg (2 curves)	2	2- 3- 5- 19+ 71+	2- 3- 5- -4  0 -6  0 19+
Curve Equation t Generators 121410bg1 [1,-1,1,2848,494979] 2 [47:-879:1]&[-43:561:1] 121410bg2 [1,-1,1,-79232,8243331] 2 [-319:1149:1]&[41:2229:1]
121410bh (1 curve)	0	2- 3- 5- 19+ 71+	2- 3- 5- -5 -2 -2  4 19+
Curve Equation t 121410bh1 [1,-1,1,-940757,-24340740361] 1
121410bi (2 curves)	1	2- 3- 5- 19+ 71-	2- 3- 5-  2  2 -6  4 19+
Curve Equation t Generators 121410bi1 [1,-1,1,44023,12288201] 2 [419:9996:1] 121410bi2 [1,-1,1,-605777,166420761] 2 [-531:18654:1]
121410bj (2 curves)	1	2- 3- 5- 19+ 71-	2- 3- 5-  4  0 -2  2 19+
Curve Equation t Generators 121410bj1 [1,-1,1,-45842,-3761391] 2 [-123:131:1] 121410bj2 [1,-1,1,-59522,-1320879] 2 [-189:1869:1]
121410bk (2 curves)	1	2- 3- 5- 19- 71+	2- 3- 5-  0  2 -4  6 19-
Curve Equation t Generators 121410bk1 [1,-1,1,-1337,18969] 2 [29:48:1] 121410bk2 [1,-1,1,-2417,-15159] 2 [-31:186:1]
121410bl (1 curve)	1	2- 3- 5- 19- 71+	2- 3- 5-  1 -4  2  2 19-
Curve Equation t Generators 121410bl1 [1,-1,1,-61907,22906739] 1 [-261:4738:1]
121410bm (2 curves)	1	2- 3- 5- 19- 71+	2- 3- 5-  2  0  6  0 19-
Curve Equation t Generators 121410bm1 [1,-1,1,15409093,93978574251] 2 [2699:392634:1] 121410bm2 [1,-1,1,-239682587,1324438801899] 2 [11806:7889163:8]
121410bn (2 curves)	1	2- 3- 5- 19- 71+	2- 3- 5-  2 -4  4  0 19-
Curve Equation t Generators 121410bn1 [1,-1,1,-1302602,4041899129] 2 [-1113:64681:1] 121410bn2 [1,-1,1,-46865102,122905349129] 2 [81399:2522387:27]
121410bo (4 curves)	0	2- 3- 5- 19- 71-	2- 3- 5-  2  6 -4  6 19-
Curve Equation t 121410bo1 [1,-1,1,5017108,-3354818209] 2 121410bo2 [1,-1,1,-25848392,-30170764609] 2 121410bo3 [1,-1,1,-51564227,194877757379] 6 121410bo4 [1,-1,1,-906564227,10505151757379] 6
121410bp (2 curves)	0	2- 3- 5- 19- 71-	2- 3- 5- -2  6  4  6 19-
Curve Equation t 121410bp1 [1,-1,1,188702203,-2564155742979] 2 121410bp2 [1,-1,1,-2055159797,-31812448140579] 2
121410bq (2 curves)	2	2- 3- 5- 19- 71-	2- 3- 5- -2 -6 -4 -2 19-
Curve Equation t Generators 121410bq1 [1,-1,1,-516992,151017891] 2 [-781:9219:1]&[381:-3231:1] 121410bq2 [1,-1,1,-8396672,9367091619] 2 [-2923:95961:1]&[1577:5961:1]
121410br (2 curves)	2	2- 3- 5- 19- 71-	2- 3- 5- -2 -6 -4 -6 19-
Curve Equation t Generators 121410br1 [1,-1,1,2083,-34459] 2 [158:867:8]&[21:124:1] 121410br2 [1,-1,1,-11597,-313531] 2 [-714:893:8]&[-63:436:1]
121410bs (2 curves)	0	2- 3- 5- 19- 71-	2- 3- 5-  4  4  4  0 19-
Curve Equation t 121410bs1 [1,-1,1,-58577,-43454271] 2 121410bs2 [1,-1,1,-2247377,-1289319231] 2
121410bt (2 curves)	0	2- 3- 5- 19- 71-	2- 3- 5-  4 -6  0  6 19-
Curve Equation t 121410bt1 [1,-1,1,-1427,-19569] 2 121410bt2 [1,-1,1,-3857,66939] 2

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