Cremona's table of elliptic curves

49770 = 2 · 3² · 5 · 7 · 79

Class	r	Atkin-Lehner	Eigenvalues
49770a (2 curves)	1	2+ 3+ 5+ 7+ 79+	2+ 3+ 5+ 7+ -2  0 -2  4
Curve Equation t Generators 49770a1 [1,-1,0,-139875,-20096875] 2 [-158778:96821:729] 49770a2 [1,-1,0,-154995,-15473179] 2 [-110:541:1]
49770b (2 curves)	1	2+ 3+ 5+ 7- 79-	2+ 3+ 5+ 7-  4  0  0  4
Curve Equation t Generators 49770b1 [1,-1,0,-9735,352061] 2 [71:87:1] 49770b2 [1,-1,0,7545,1454525] 2 [47:1359:1]
49770c (2 curves)	1	2+ 3+ 5+ 7- 79-	2+ 3+ 5+ 7- -4  4  8 -8
Curve Equation t Generators 49770c1 [1,-1,0,-124755,16155701] 2 [-58:4845:1] 49770c2 [1,-1,0,86925,65223125] 2 [131:8814:1]
49770d (1 curve)	1	2+ 3+ 5+ 7- 79-	2+ 3+ 5+ 7-  6  3 -2 -5
Curve Equation t Generators 49770d1 [1,-1,0,-10189950,-12523027564] 1 [840919795:139914534619:29791]
49770e (2 curves)	1	2+ 3+ 5- 7- 79+	2+ 3+ 5- 7-  6 -4  6  0
Curve Equation t Generators 49770e1 [1,-1,0,-474,-1180] 2 [-16:54:1] 49770e2 [1,-1,0,-4254,106928] 2 [-58:424:1]
49770f (1 curve)	1	2+ 3+ 5- 7- 79+	2+ 3+ 5- 7- -6  1 -2 -5
Curve Equation t Generators 49770f1 [1,-1,0,-1149,24173] 1 [19:-104:1]
49770g (1 curve)	0	2+ 3+ 5- 7- 79-	2+ 3+ 5- 7-  3  6 -2  7
Curve Equation t 49770g1 [1,-1,0,-474,-4582] 1
49770h (1 curve)	0	2+ 3- 5+ 7+ 79+	2+ 3- 5+ 7+ -1  4  2 -5
Curve Equation t 49770h1 [1,-1,0,-11250,468180] 1
49770i (2 curves)	0	2+ 3- 5+ 7+ 79+	2+ 3- 5+ 7+  2  2 -8  2
Curve Equation t 49770i1 [1,-1,0,-426375,-107052435] 2 49770i2 [1,-1,0,-440595,-99518679] 2
49770j (2 curves)	0	2+ 3- 5+ 7+ 79+	2+ 3- 5+ 7+  4  2  2  0
Curve Equation t 49770j1 [1,-1,0,20565,2585925] 2 49770j2 [1,-1,0,-204435,31070925] 2
49770k (4 curves)	0	2+ 3- 5+ 7+ 79+	2+ 3- 5+ 7+ -4  2 -2  8
Curve Equation t 49770k1 [1,-1,0,-2242080,1287705600] 2 49770k2 [1,-1,0,-35834400,82574401536] 4 49770k3 [1,-1,0,-35795520,82762495200] 2 49770k4 [1,-1,0,-573350400,5284331739936] 2
49770l (6 curves)	0	2+ 3- 5+ 7+ 79+	2+ 3- 5+ 7+ -4 -2 -2  4
Curve Equation t 49770l1 [1,-1,0,-33300,-79478064] 2 49770l2 [1,-1,0,-2982420,-1960426800] 4 49770l3 [1,-1,0,-5574420,1960232400] 4 49770l4 [1,-1,0,-47576340,-126297194544] 2 49770l5 [1,-1,0,20356380,15013797120] 2 49770l6 [1,-1,0,-72977220,239797752480] 2
49770m (1 curve)	0	2+ 3- 5+ 7+ 79+	2+ 3- 5+ 7+  5 -1 -5  2
Curve Equation t 49770m1 [1,-1,0,0,-864] 1
49770n (2 curves)	1	2+ 3- 5+ 7+ 79-	2+ 3- 5+ 7+  2  2  8  4
Curve Equation t Generators 49770n1 [1,-1,0,-180,-644] 2 [-10:14:1] 49770n2 [1,-1,0,450,-4550] 2 [11:35:1]
49770o (1 curve)	1	2+ 3- 5+ 7+ 79-	2+ 3- 5+ 7+  4  1  4  1
Curve Equation t Generators 49770o1 [1,-1,0,-13770,-638604] 1 [1371:49872:1]
49770p (4 curves)	1	2+ 3- 5+ 7- 79+	2+ 3- 5+ 7-  0 -2  2 -8
Curve Equation t Generators 49770p1 [1,-1,0,1710,1453140] 2 [13:1209:1] 49770p2 [1,-1,0,-182610,29432916] 4 [-87:6726:1] 49770p3 [1,-1,0,-410130,-58344300] 2 [-420:6510:1] 49770p4 [1,-1,0,-2904210,1905703956] 2 [1257:14865:1]
49770q (4 curves)	1	2+ 3- 5+ 7- 79+	2+ 3- 5+ 7- -4  2  2  4
Curve Equation t Generators 49770q1 [1,-1,0,-2700,54400] 2 [5:200:1] 49770q2 [1,-1,0,-4320,-17204] 4 [-58:218:1] 49770q3 [1,-1,0,17010,-149450] 2 [21:455:1] 49770q4 [1,-1,0,-51570,-4487054] 2 [-133:143:1]
49770r (1 curve)	1	2+ 3- 5+ 7- 79+	2+ 3- 5+ 7- -4 -7  8  1
Curve Equation t Generators 49770r1 [1,-1,0,27920790,-162222626444] 1 [807116365:91307432794:68921]
49770s (4 curves)	0	2+ 3- 5+ 7- 79-	2+ 3- 5+ 7- -6  2  0 -4
Curve Equation t 49770s1 [1,-1,0,-39240,-1771200] 2 49770s2 [1,-1,0,122040,-12705984] 2 49770s3 [1,-1,0,-1378440,623185920] 6 49770s4 [1,-1,0,-1254960,739281816] 6
49770t (1 curve)	1	2+ 3- 5- 7+ 79+	2+ 3- 5- 7+  0 -5 -4  5
Curve Equation t Generators 49770t1 [1,-1,0,261,-55377] 1 [87:-831:1]
49770u (1 curve)	1	2+ 3- 5- 7+ 79+	2+ 3- 5- 7+  3 -4  6  1
Curve Equation t Generators 49770u1 [1,-1,0,-2889,95683] 1 [23:191:1]
49770v (1 curve)	1	2+ 3- 5- 7+ 79+	2+ 3- 5- 7+ -3  0 -6 -3
Curve Equation t Generators 49770v1 [1,-1,0,-319509,-686510987] 1 [3617:211424:1]
49770w (2 curves)	1	2+ 3- 5- 7+ 79+	2+ 3- 5- 7+ -4 -4 -2 -6
Curve Equation t Generators 49770w1 [1,-1,0,-1944,0] 2 [-24:192:1] 49770w2 [1,-1,0,7776,-5832] 2 [27:459:1]
49770x (2 curves)	0	2+ 3- 5- 7+ 79-	2+ 3- 5- 7+ -2 -2  4  4
Curve Equation t 49770x1 [1,-1,0,-248938614,485139004020] 2 49770x2 [1,-1,0,936963306,3771747585108] 2
49770y (2 curves)	2	2+ 3- 5- 7+ 79-	2+ 3- 5- 7+ -2 -2 -8 -2
Curve Equation t Generators 49770y1 [1,-1,0,-4284,68688] 2 [-63:324:1]&[-8:324:1] 49770y2 [1,-1,0,-61164,5836320] 2 [156:192:1]&[-249:2487:1]
49770z (2 curves)	0	2+ 3- 5- 7- 79+	2+ 3- 5- 7-  4  4  2 -2
Curve Equation t 49770z1 [1,-1,0,-122409,-16371635] 2 49770z2 [1,-1,0,-53289,-34799027] 2
49770ba (3 curves)	1	2+ 3- 5- 7- 79-	2+ 3- 5- 7- -3  5  3  2
Curve Equation t Generators 49770ba1 [1,-1,0,-2304,-1769472] 1 [20652138:54885601:157464] 49770ba2 [1,-1,0,20736,47761920] 3 [631:17342:1] 49770ba3 [1,-1,0,-9336024,10983345768] 3 [6017315102:36058140199:3112136]
49770bb (1 curve)	1	2- 3+ 5+ 7- 79+	2- 3+ 5+ 7-  6  1  2 -5
Curve Equation t Generators 49770bb1 [1,-1,1,-128,-853] 1 [15:13:1]
49770bc (2 curves)	1	2- 3+ 5+ 7- 79+	2- 3+ 5+ 7- -6 -4 -6  0
Curve Equation t Generators 49770bc1 [1,-1,1,-53,61] 2 [-7:10:1] 49770bc2 [1,-1,1,-473,-3803] 2 [-13:10:1]
49770bd (1 curve)	0	2- 3+ 5+ 7- 79-	2- 3+ 5+ 7- -3  6  2  7
Curve Equation t 49770bd1 [1,-1,1,-53,187] 1
49770be (2 curves)	1	2- 3+ 5- 7+ 79+	2- 3+ 5- 7+  2  0  2  4
Curve Equation t Generators 49770be1 [1,-1,1,-15542,749509] 2 [67:-109:1] 49770be2 [1,-1,1,-17222,578821] 2 [11:619:1]
49770bf (2 curves)	1	2- 3+ 5- 7- 79-	2- 3+ 5- 7-  4  4 -8 -8
Curve Equation t Generators 49770bf1 [1,-1,1,-13862,-593739] 2 [281:-4341:1] 49770bf2 [1,-1,1,9658,-2418891] 2 [267:-4509:1]
49770bg (2 curves)	1	2- 3+ 5- 7- 79-	2- 3+ 5- 7- -4  0  0  4
Curve Equation t Generators 49770bg1 [1,-1,1,-1082,-12679] 2 [-21:31:1] 49770bg2 [1,-1,1,838,-54151] 2 [57:-449:1]
49770bh (1 curve)	1	2- 3+ 5- 7- 79-	2- 3+ 5- 7- -6  3  2 -5
Curve Equation t Generators 49770bh1 [1,-1,1,-1132217,464193241] 1 [631:524:1]
49770bi (1 curve)	1	2- 3- 5+ 7+ 79+	2- 3- 5+ 7+  1  5 -1  0
Curve Equation t Generators 49770bi1 [1,-1,1,-473,4097] 1 [13:-2:1]
49770bj (2 curves)	1	2- 3- 5+ 7+ 79+	2- 3- 5+ 7+ -2  2  2  0
Curve Equation t Generators 49770bj1 [1,-1,1,-13928,-824533] 2 [237:-3143:1] 49770bj2 [1,-1,1,-241448,-45600469] 2 [-285:187:1]
49770bk (2 curves)	0	2- 3- 5+ 7+ 79-	2- 3- 5+ 7+  2  2  6 -4
Curve Equation t 49770bk1 [1,-1,1,-181913,-66822663] 2 49770bk2 [1,-1,1,-3822233,-2872781319] 2
49770bl (2 curves)	0	2- 3- 5+ 7+ 79-	2- 3- 5+ 7+ -2  2  4  4
Curve Equation t 49770bl1 [1,-1,1,-3299648,-2283808669] 2 49770bl2 [1,-1,1,-719168,-5764360093] 2
49770bm (2 curves)	0	2- 3- 5+ 7- 79+	2- 3- 5+ 7-  0  2  0  6
Curve Equation t 49770bm1 [1,-1,1,270007,-165234743] 2 49770bm2 [1,-1,1,-3370313,-2155761719] 2
49770bn (2 curves)	0	2- 3- 5+ 7- 79+	2- 3- 5+ 7-  2 -2 -4  6
Curve Equation t 49770bn1 [1,-1,1,-13253,-574419] 2 49770bn2 [1,-1,1,-27473,887397] 2
49770bo (1 curve)	0	2- 3- 5+ 7- 79+	2- 3- 5+ 7-  3  1 -7 -8
Curve Equation t 49770bo1 [1,-1,1,-43808,-3518269] 1
49770bp (1 curve)	0	2- 3- 5+ 7- 79+	2- 3- 5+ 7-  3  5 -3  0
Curve Equation t 49770bp1 [1,-1,1,2662,-2933] 1
49770bq (2 curves)	1	2- 3- 5+ 7- 79-	2- 3- 5+ 7-  3 -7 -3  2
Curve Equation t Generators 49770bq1 [1,-1,1,4882,73757] 1 [133:1683:1] 49770bq2 [1,-1,1,-97493,11942957] 3 [-347:2148:1]
49770br (1 curve)	1	2- 3- 5+ 7- 79-	2- 3- 5+ 7- -3 -3 -7  4
Curve Equation t Generators 49770br1 [1,-1,1,-3312803,7934745187] 1 [-1477:98738:1]
49770bs (2 curves)	1	2- 3- 5+ 7- 79-	2- 3- 5+ 7-  6 -6  2 -8
Curve Equation t Generators 49770bs1 [1,-1,1,2497,-28713] 2 [246:2085:8] 49770bs2 [1,-1,1,-11723,-239169] 2 [-37:396:1]
49770bt (1 curve)	0	2- 3- 5- 7+ 79+	2- 3- 5- 7+ -1 -1  1  6
Curve Equation t 49770bt1 [1,-1,1,-6332,245639] 1
49770bu (2 curves)	0	2- 3- 5- 7+ 79+	2- 3- 5- 7+  2  2  4  6
Curve Equation t 49770bu1 [1,-1,1,-10623499997,269312940903269] 2 49770bu2 [1,-1,1,-70266502877,-6970369463481499] 2
49770bv (2 curves)	0	2- 3- 5- 7+ 79+	2- 3- 5- 7+  4  4  6  6
Curve Equation t 49770bv1 [1,-1,1,-308894567,820935158559] 2 49770bv2 [1,-1,1,1124377753,6283995933471] 2
49770bw (2 curves)	0	2- 3- 5- 7+ 79+	2- 3- 5- 7+  6 -6  4 -2
Curve Equation t 49770bw1 [1,-1,1,-5387,-13669] 2 49770bw2 [1,-1,1,-62267,-5951941] 2
49770bx (4 curves)	1	2- 3- 5- 7- 79+	2- 3- 5- 7-  0  2  2 -4
Curve Equation t Generators 49770bx1 [1,-1,1,-199607,30852879] 4 [-181:7902:1] 49770bx2 [1,-1,1,-764087,-224066289] 4 [-405:4542:1] 49770bx3 [1,-1,1,1226713,-1197965649] 2 [4270118095:-156373322328:3723875] 49770bx4 [1,-1,1,-11786567,-15571767441] 2 [212806847:15220697556:29791]
49770by (1 curve)	1	2- 3- 5- 7- 79+	2- 3- 5- 7- -3 -4  2 -1
Curve Equation t Generators 49770by1 [1,-1,1,5728,-13629] 1 [11:219:1]
49770bz (2 curves)	1	2- 3- 5- 7- 79+	2- 3- 5- 7- -4 -2  4 -2
Curve Equation t Generators 49770bz1 [1,-1,1,10678,163721] 2 [21:619:1] 49770bz2 [1,-1,1,-46202,1392329] 2 [-153:2281:1]
49770ca (2 curves)	0	2- 3- 5- 7- 79-	2- 3- 5- 7-  0  5  0 -7
Curve Equation t 49770ca1 [1,-1,1,-1025816927,-12645737889721] 1 49770ca2 [1,-1,1,-880611062,-16351400780539] 3
49770cb (1 curve)	0	2- 3- 5- 7- 79-	2- 3- 5- 7- -3  3 -1 -8
Curve Equation t 49770cb1 [1,-1,1,313,-5039] 1
49770cc (1 curve)	0	2- 3- 5- 7- 79-	2- 3- 5- 7- -5 -5 -5 -2
Curve Equation t 49770cc1 [1,-1,1,-32,-219] 1

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