Cremona's table of elliptic curves

70224 = 2⁴ · 3 · 7 · 11 · 19

Class	r	Atkin-Lehner	Eigenvalues
70224a (1 curve)	1	2+ 3+ 7+ 11+ 19+	2+ 3+  3 7+ 11+ -6  4 19+
Curve Equation t Generators 70224a1 [0,-1,0,-11264,464112] 1 [54:102:1]
70224b (1 curve)	0	2+ 3+ 7+ 11+ 19-	2+ 3+  0 7+ 11+  1  4 19-
Curve Equation t 70224b1 [0,-1,0,-8,-1584] 1
70224c (1 curve)	0	2+ 3+ 7+ 11+ 19-	2+ 3+ -3 7+ 11+  4 -4 19-
Curve Equation t 70224c1 [0,-1,0,-217,-539] 1
70224d (1 curve)	1	2+ 3+ 7+ 11- 19-	2+ 3+  0 7+ 11-  1  7 19-
Curve Equation t Generators 70224d1 [0,-1,0,208207,88929741] 1 [941890:33462737:1000]
70224e (2 curves)	1	2+ 3+ 7+ 11- 19-	2+ 3+  0 7+ 11- -2  4 19-
Curve Equation t Generators 70224e1 [0,-1,0,-1083,73350] 2 [-46:154:1] 70224e2 [0,-1,0,-33668,2380368] 2 [-196:1188:1]
70224f (4 curves)	0	2+ 3+ 7- 11+ 19+	2+ 3+ -2 7- 11+  2  6 19+
Curve Equation t 70224f1 [0,-1,0,-439,3598] 2 70224f2 [0,-1,0,-1044,-7776] 4 70224f3 [0,-1,0,3136,-57936] 2 70224f4 [0,-1,0,-14904,-695232] 2
70224g (1 curve)	0	2+ 3+ 7- 11+ 19+	2+ 3+ -4 7- 11+ -5 -3 19+
Curve Equation t 70224g1 [0,-1,0,-92625,-10822419] 1
70224h (2 curves)	1	2+ 3+ 7- 11+ 19-	2+ 3+  0 7- 11+  2  0 19-
Curve Equation t Generators 70224h1 [0,-1,0,-91803,-9550926] 2 [-1158:6615:8] 70224h2 [0,-1,0,127812,-48466704] 2 [8828:830060:1]
70224i (4 curves)	1	2+ 3+ 7- 11+ 19-	2+ 3+  2 7- 11+ -2  2 19-
Curve Equation t Generators 70224i1 [0,-1,0,-407,2178] 2 [-508:4455:64] 70224i2 [0,-1,0,-5852,174240] 4 [-31:570:1] 70224i3 [0,-1,0,-5192,214368] 4 [1754:24745:8] 70224i4 [0,-1,0,-93632,11058960] 2 [277:2510:1]
70224j (1 curve)	1	2+ 3+ 7- 11+ 19-	2+ 3+ -3 7- 11+ -4  6 19-
Curve Equation t Generators 70224j1 [0,-1,0,-58737,-5459619] 1 [-17420:361:125]
70224k (2 curves)	1	2+ 3+ 7- 11- 19+	2+ 3+  0 7- 11-  4  2 19+
Curve Equation t Generators 70224k1 [0,-1,0,-2168,-37632] 2 [-26:22:1] 70224k2 [0,-1,0,-208,-105056] 2 [60:308:1]
70224l (4 curves)	0	2+ 3+ 7- 11- 19-	2+ 3+  2 7- 11- -2 -2 19-
Curve Equation t 70224l1 [0,-1,0,-5367,-149562] 2 70224l2 [0,-1,0,-5412,-146880] 4 70224l3 [0,-1,0,1848,-518592] 4 70224l4 [0,-1,0,-13392,395760] 2
70224m (1 curve)	0	2+ 3+ 7- 11- 19-	2+ 3+  3 7- 11-  4  6 19-
Curve Equation t 70224m1 [0,-1,0,-8375729,-9274773459] 1
70224n (2 curves)	0	2+ 3+ 7- 11- 19-	2+ 3+  4 7- 11- -6  0 19-
Curve Equation t 70224n1 [0,-1,0,-774411,-261902682] 2 70224n2 [0,-1,0,-627396,-364519152] 2
70224o (2 curves)	0	2+ 3- 7+ 11+ 19+	2+ 3-  0 7+ 11+ -6  4 19+
Curve Equation t 70224o1 [0,1,0,77,-388] 2 70224o2 [0,1,0,-588,-4644] 2
70224p (1 curve)	0	2+ 3- 7+ 11+ 19+	2+ 3-  3 7+ 11+  0 -2 19+
Curve Equation t 70224p1 [0,1,0,-49169,4177179] 1
70224q (1 curve)	1	2+ 3- 7+ 11+ 19-	2+ 3-  1 7+ 11+  4  0 19-
Curve Equation t Generators 70224q1 [0,1,0,-41865,3257667] 1 [102:243:1]
70224r (1 curve)	1	2+ 3- 7+ 11+ 19-	2+ 3- -1 7+ 11+ -6  4 19-
Curve Equation t Generators 70224r1 [0,1,0,2984,-11452] 1 [8:114:1]
70224s (4 curves)	1	2+ 3- 7+ 11+ 19-	2+ 3-  2 7+ 11+  2 -6 19-
Curve Equation t Generators 70224s1 [0,1,0,-23892,-1352772] 2 [-81:240:1] 70224s2 [0,1,0,-71912,5734980] 4 [-152:3630:1] 70224s3 [0,1,0,165248,35806868] 4 [62:-6804:1] 70224s4 [0,1,0,-1077392,430047540] 2 [628:1230:1]
70224t (4 curves)	1	2+ 3- 7+ 11- 19+	2+ 3- -2 7+ 11-  2 -2 19+
Curve Equation t Generators 70224t1 [0,1,0,-484,21692] 2 [2:144:1] 70224t2 [0,1,0,-15064,704036] 4 [-10:924:1] 70224t3 [0,1,0,-22624,-85228] 2 [-28:726:1] 70224t4 [0,1,0,-240784,45396596] 2 [284:30:1]
70224u (1 curve)	2	2+ 3- 7+ 11- 19-	2+ 3- -1 7+ 11- -6 -5 19-
Curve Equation t Generators 70224u1 [0,1,0,11144,6448628] 1 [-166:228:1]&[74:-2772:1]
70224v (6 curves)	1	2+ 3- 7- 11+ 19+	2+ 3- -2 7- 11+ -2 -6 19+
Curve Equation t Generators 70224v1 [0,1,0,9921,-10024200] 2 [1800:76440:1] 70224v2 [0,1,0,-641684,-192994884] 4 [-422:1680:1] 70224v3 [0,1,0,-1515304,444747716] 8 [-1225:21546:1] 70224v4 [0,1,0,-10193744,-12530435580] 2 [-117980:6195:64] 70224v5 [0,1,0,4579136,3128739092] 4 [-433:32634:1] 70224v6 [0,1,0,-21587664,38590260660] 4 [2940:23310:1]
70224w (1 curve)	1	2+ 3- 7- 11+ 19+	2+ 3-  3 7- 11+ -2  0 19+
Curve Equation t Generators 70224w1 [0,1,0,-29744,-3996732] 1 [376:-6174:1]
70224x (4 curves)	0	2+ 3- 7- 11+ 19-	2+ 3- -2 7- 11+  6 -2 19-
Curve Equation t 70224x1 [0,1,0,-14252719,-20715447820] 2 70224x2 [0,1,0,-14253324,-20713601844] 4 70224x3 [0,1,0,-12819584,-25044070140] 2 70224x4 [0,1,0,-15696744,-16264981404] 4
70224y (1 curve)	0	2+ 3- 7- 11- 19+	2+ 3-  0 7- 11- -1 -5 19+
Curve Equation t 70224y1 [0,1,0,-33,-165] 1
70224z (1 curve)	1	2+ 3- 7- 11- 19-	2+ 3-  0 7- 11- -3 -4 19-
Curve Equation t Generators 70224z1 [0,1,0,-25088,1584660] 1 [-98:1764:1]
70224ba (1 curve)	1	2+ 3- 7- 11- 19-	2+ 3- -3 7- 11-  2  0 19-
Curve Equation t Generators 70224ba1 [0,1,0,-4432,134276] 1 [32:-162:1]
70224bb (2 curves)	0	2- 3+ 7+ 11+ 19+	2- 3+  1 7+ 11+ -6  8 19+
Curve Equation t 70224bb1 [0,-1,0,-4186880,3458777088] 1 70224bb2 [0,-1,0,-2651887040,52563944556288] 1
70224bc (2 curves)	0	2- 3+ 7+ 11+ 19+	2- 3+  3 7+ 11+  2  6 19+
Curve Equation t 70224bc1 [0,-1,0,-269764,631786012] 1 70224bc2 [0,-1,0,-64742524,200533908652] 1
70224bd (2 curves)	0	2- 3+ 7+ 11+ 19+	2- 3+  3 7+ 11+ -4  6 19+
Curve Equation t 70224bd1 [0,-1,0,-309,-1143] 1 70224bd2 [0,-1,0,-10869,439737] 1
70224be (2 curves)	0	2- 3+ 7+ 11+ 19+	2- 3+  4 7+ 11+  0  2 19+
Curve Equation t 70224be1 [0,-1,0,-1776,-13632] 2 70224be2 [0,-1,0,6064,-107712] 2
70224bf (2 curves)	1	2- 3+ 7+ 11+ 19-	2- 3+  1 7+ 11+  4  8 19-
Curve Equation t Generators 70224bf1 [0,-1,0,-29925,-1980531] 1 [-102558783500:-1694068133:1058089859] 70224bf2 [0,-1,0,-839685,296303469] 1 [-460:24187:1]
70224bg (4 curves)	1	2- 3+ 7+ 11+ 19-	2- 3+  2 7+ 11+  2 -2 19-
Curve Equation t Generators 70224bg1 [0,-1,0,-1676232,835872048] 2 [356:16856:1] 70224bg2 [0,-1,0,-1680152,831770160] 4 [354:16770:1] 70224bg3 [0,-1,0,-455432,2017299120] 2 [2369874:-115838130:2197] 70224bg4 [0,-1,0,-2967592,-616342352] 2 [-736410:15369146:3375]
70224bh (4 curves)	1	2- 3+ 7+ 11- 19+	2- 3+  0 7+ 11-  2  6 19+
Curve Equation t Generators 70224bh1 [0,-1,0,-2073,-35352] 2 [7412:638066:1] 70224bh2 [0,-1,0,-588,-86436] 2 [130272610:-11214708253:17576] 70224bh3 [0,-1,0,-14673,667980] 2 [104:506:1] 70224bh4 [0,-1,0,5292,2329068] 2 [106:12397:8]
70224bi (4 curves)	1	2- 3+ 7+ 11- 19+	2- 3+  0 7+ 11- -4 -6 19+
Curve Equation t Generators 70224bi1 [0,-1,0,-7335648,-7636066560] 2 [29484533:3339747488:2197] 70224bi2 [0,-1,0,-5328608,-11908653312] 2 [53234:12270258:1] 70224bi3 [0,-1,0,-28639968,51313979136] 2 [2000:45056:1] 70224bi4 [0,-1,0,46655392,275573679360] 2 [-4046:143374:1]
70224bj (3 curves)	1	2- 3+ 7+ 11- 19+	2- 3+  0 7+ 11-  5  0 19+
Curve Equation t Generators 70224bj1 [0,-1,0,-12328,-523280] 1 [1868:80568:1] 70224bj2 [0,-1,0,15752,-2420624] 1 [140:1584:1] 70224bj3 [0,-1,0,-143848,70816624] 1 [1316:46464:1]
70224bk (2 curves)	1	2- 3+ 7+ 11- 19+	2- 3+  0 7+ 11-  5 -3 19+
Curve Equation t Generators 70224bk1 [0,-1,0,1227,25533] 1 [-134:7:8] 70224bk2 [0,-1,0,-44373,3624285] 1 [1162:3773:8]
70224bl (4 curves)	1	2- 3+ 7+ 11- 19+	2- 3+ -2 7+ 11- -2  6 19+
Curve Equation t Generators 70224bl1 [0,-1,0,56,9520] 2 [-4:96:1] 70224bl2 [0,-1,0,-6424,196144] 4 [-36:616:1] 70224bl3 [0,-1,0,-14344,-374096] 2 [-54:490:1] 70224bl4 [0,-1,0,-102184,12606640] 4 [186:26:1]
70224bm (1 curve)	0	2- 3+ 7+ 11- 19-	2- 3+  1 7+ 11- -2  0 19-
Curve Equation t 70224bm1 [0,-1,0,2760,-304272] 1
70224bn (1 curve)	0	2- 3+ 7+ 11- 19-	2- 3+ -1 7+ 11- -4 -4 19-
Curve Equation t 70224bn1 [0,-1,0,-18501,-962451] 1
70224bo (4 curves)	0	2- 3+ 7+ 11- 19-	2- 3+  2 7+ 11-  2  2 19-
Curve Equation t 70224bo1 [0,-1,0,-1232,53760] 2 70224bo2 [0,-1,0,-30112,2017600] 4 70224bo3 [0,-1,0,-40752,476928] 2 70224bo4 [0,-1,0,-481552,128781952] 2
70224bp (2 curves)	0	2- 3+ 7+ 11- 19-	2- 3+  2 7+ 11- -2  0 19-
Curve Equation t 70224bp1 [0,-1,0,-77,168] 2 70224bp2 [0,-1,0,-572,-4980] 2
70224bq (4 curves)	0	2- 3+ 7+ 11- 19-	2- 3+ -2 7+ 11- -2  6 19-
Curve Equation t 70224bq1 [0,-1,0,-40435704,-96661771152] 2 70224bq2 [0,-1,0,-642798584,-6272567907216] 4 70224bq3 [0,-1,0,-638627704,-6357987529616] 2 70224bq4 [0,-1,0,-10284775544,-401454778798992] 2
70224br (2 curves)	1	2- 3+ 7- 11+ 19+	2- 3+  0 7- 11+  4 -6 19+
Curve Equation t Generators 70224br1 [0,-1,0,-15050288,-22467829824] 2 [32499720:6835096576:729] 70224br2 [0,-1,0,-14548528,-24036130880] 2 [395405079462:83166428215178:8869743]
70224bs (2 curves)	1	2- 3+ 7- 11+ 19+	2- 3+  0 7- 11+  6  2 19+
Curve Equation t Generators 70224bs1 [0,-1,0,-33,0] 2 [44:286:1] 70224bs2 [0,-1,0,132,-132] 2 [346:2327:8]
70224bt (1 curve)	1	2- 3+ 7- 11+ 19+	2- 3+ -1 7- 11+ -4  4 19+
Curve Equation t Generators 70224bt1 [0,-1,0,-17501,-864303] 1 [-83:98:1]
70224bu (1 curve)	1	2- 3+ 7- 11+ 19+	2- 3+ -3 7- 11+ -2  3 19+
Curve Equation t Generators 70224bu1 [0,-1,0,-854672,521456064] 1 [-488:28672:1]
70224bv (1 curve)	0	2- 3+ 7- 11+ 19-	2- 3+  1 7- 11+  4 -6 19-
Curve Equation t 70224bv1 [0,-1,0,-13685,513789] 1
70224bw (6 curves)	0	2- 3+ 7- 11+ 19-	2- 3+ -2 7- 11+ -2 -6 19-
Curve Equation t 70224bw1 [0,-1,0,-316494304,-2244601655552] 2 70224bw2 [0,-1,0,-5114057184,-140763675177216] 4 70224bw3 [0,-1,0,-5164238304,-137860195574016] 8 70224bw4 [0,-1,0,-81824882144,-9008964621172992] 2 70224bw5 [0,-1,0,2290002336,-503040462831360] 4 70224bw6 [0,-1,0,-13421376864,413141963390208] 4
70224bx (1 curve)	0	2- 3+ 7- 11+ 19-	2- 3+  3 7- 11+ -2  4 19-
Curve Equation t 70224bx1 [0,-1,0,-624,6336] 1
70224by (1 curve)	0	2- 3+ 7- 11+ 19-	2- 3+ -4 7- 11+ -1 -1 19-
Curve Equation t 70224by1 [0,-1,0,60235,-5503299] 1
70224bz (1 curve)	0	2- 3+ 7- 11- 19+	2- 3+ -1 7- 11-  2 -2 19+
Curve Equation t 70224bz1 [0,-1,0,-236,-1428] 1
70224ca (6 curves)	0	2- 3+ 7- 11- 19+	2- 3+ -2 7- 11-  6 -6 19+
Curve Equation t 70224ca1 [0,-1,0,567776,291270400] 2 70224ca2 [0,-1,0,-4675104,3231477504] 4 70224ca3 [0,-1,0,-22021664,-36776628480] 2 70224ca4 [0,-1,0,-71214624,231328952064] 8 70224ca5 [0,-1,0,-67639584,255590603520] 4 70224ca6 [0,-1,0,-1139421984,14804241040128] 4
70224cb (1 curve)	0	2- 3+ 7- 11- 19+	2- 3+  3 7- 11-  2 -4 19+
Curve Equation t 70224cb1 [0,-1,0,-1135384,3219001072] 1
70224cc (1 curve)	0	2- 3+ 7- 11- 19+	2- 3+  4 7- 11-  3  0 19+
Curve Equation t 70224cc1 [0,-1,0,4384,16128] 1
70224cd (1 curve)	1	2- 3+ 7- 11- 19-	2- 3+ -1 7- 11-  2 -1 19-
Curve Equation t Generators 70224cd1 [0,-1,0,1024,10752] 1 [16:-176:1]
70224ce (1 curve)	1	2- 3+ 7- 11- 19-	2- 3+ -1 7- 11- -4  2 19-
Curve Equation t Generators 70224ce1 [0,-1,0,-15901621,13460887357] 1 [-2316:194579:1]
70224cf (2 curves)	1	2- 3- 7+ 11+ 19+	2- 3- -2 7+ 11+ -4  6 19+
Curve Equation t Generators 70224cf1 [0,1,0,-492689,320489406] 2 [344072:8768991:512] 70224cf2 [0,1,0,-10660924,13380570440] 2 [1403:34452:1]
70224cg (1 curve)	1	2- 3- 7+ 11+ 19+	2- 3-  4 7+ 11+ -1  0 19+
Curve Equation t Generators 70224cg1 [0,1,0,-59256,-10998828] 1 [1158:38400:1]
70224ch (1 curve)	2	2- 3- 7+ 11+ 19-	2- 3- -3 7+ 11+ -2 -3 19-
Curve Equation t Generators 70224ch1 [0,1,0,-1072,14804] 1 [20:42:1]&[-22:168:1]
70224ci (1 curve)	0	2- 3- 7+ 11- 19+	2- 3-  1 7+ 11-  0 -6 19+
Curve Equation t 70224ci1 [0,1,0,-85,-253] 1
70224cj (1 curve)	0	2- 3- 7+ 11- 19+	2- 3-  1 7+ 11-  6  0 19+
Curve Equation t 70224cj1 [0,1,0,26560,-1384908] 1
70224ck (1 curve)	2	2- 3- 7+ 11- 19+	2- 3- -1 7+ 11- -6 -7 19+
Curve Equation t Generators 70224ck1 [0,1,0,-570736,166216148] 1 [-782:11616:1]&[626:-7392:1]
70224cl (4 curves)	0	2- 3- 7+ 11- 19+	2- 3- -2 7+ 11-  6  6 19+
Curve Equation t 70224cl1 [0,1,0,17656,-4240908] 2 70224cl2 [0,1,0,-310024,-62305804] 4 70224cl3 [0,1,0,-990984,305140212] 4 70224cl4 [0,1,0,-4871944,-4140662284] 2
70224cm (1 curve)	0	2- 3- 7+ 11- 19+	2- 3-  3 7+ 11-  6 -2 19+
Curve Equation t 70224cm1 [0,1,0,-356004,-82877256] 1
70224cn (1 curve)	2	2- 3- 7+ 11- 19+	2- 3- -4 7+ 11-  3 -1 19+
Curve Equation t Generators 70224cn1 [0,1,0,875,4799] 1 [-5:18:1]&[11:-126:1]
70224co (1 curve)	1	2- 3- 7+ 11- 19-	2- 3- -1 7+ 11-  0 -4 19-
Curve Equation t Generators 70224co1 [0,1,0,-83181,5513463] 1 [-201:3762:1]
70224cp (1 curve)	1	2- 3- 7+ 11- 19-	2- 3-  3 7+ 11-  4  0 19-
Curve Equation t Generators 70224cp1 [0,1,0,-6949,194579] 1 [-10:513:1]
70224cq (1 curve)	0	2- 3- 7- 11+ 19+	2- 3-  3 7- 11+  6  6 19+
Curve Equation t 70224cq1 [0,1,0,76,408] 1
70224cr (1 curve)	1	2- 3- 7- 11+ 19-	2- 3-  0 7- 11+  1  0 19-
Curve Equation t Generators 70224cr1 [0,1,0,2310952,1335676692] 1 [406:-48384:1]
70224cs (1 curve)	1	2- 3- 7- 11+ 19-	2- 3-  1 7- 11+  6 -3 19-
Curve Equation t Generators 70224cs1 [0,1,0,-43120,-3461164] 1 [242570:10624512:125]
70224ct (2 curves)	1	2- 3- 7- 11+ 19-	2- 3-  2 7- 11+  2  0 19-
Curve Equation t Generators 70224ct1 [0,1,0,-18677,916218] 2 [-38:1254:1] 70224ct2 [0,1,0,-58772,-4392360] 2 [343:3990:1]
70224cu (2 curves)	1	2- 3- 7- 11+ 19-	2- 3- -2 7- 11+  0  6 19-
Curve Equation t Generators 70224cu1 [0,1,0,231,-6174] 2 [126:1428:1] 70224cu2 [0,1,0,-4004,-92568] 2 [-41:66:1]
70224cv (2 curves)	1	2- 3- 7- 11- 19+	2- 3-  0 7- 11-  0  6 19+
Curve Equation t Generators 70224cv1 [0,1,0,-1573528,-748590700] 2 [2486:-103488:1] 70224cv2 [0,1,0,-36888,-2145703788] 2 [9318:-898128:1]
70224cw (1 curve)	1	2- 3- 7- 11- 19+	2- 3-  0 7- 11-  5 -4 19+
Curve Equation t Generators 70224cw1 [0,1,0,250392,4052330292] 1 [-1787355714434106:114195700091764736:2033419614309]
70224cx (1 curve)	1	2- 3- 7- 11- 19+	2- 3- -3 7- 11- -4 -4 19+
Curve Equation t Generators 70224cx1 [0,1,0,-77,231] 1 [3:6:1]
70224cy (1 curve)	0	2- 3- 7- 11- 19-	2- 3-  1 7- 11-  2 -4 19-
Curve Equation t 70224cy1 [0,1,0,-1949960,1298677236] 1
70224cz (4 curves)	0	2- 3- 7- 11- 19-	2- 3- -2 7- 11-  2  2 19-
Curve Equation t 70224cz1 [0,1,0,296,3860] 2 70224cz2 [0,1,0,-2584,41876] 4 70224cz3 [0,1,0,-11704,-450604] 2 70224cz4 [0,1,0,-39544,3013460] 2

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