Cremona's table of elliptic curves

4770 = 2 · 3² · 5 · 53

Class	r	Atkin-Lehner	Eigenvalues
4770a (1 curve)	0	2+ 3+ 5+ 53-	2+ 3+ 5+  1  5 -6  2 -1
Curve Equation t 4770a1 [1,-1,0,12540,-439984] 1
4770b (2 curves)	0	2+ 3+ 5+ 53-	2+ 3+ 5+ -2  4  2  2  4
Curve Equation t 4770b1 [1,-1,0,-150,80036] 2 4770b2 [1,-1,0,-28770,1860200] 2
4770c (2 curves)	0	2+ 3+ 5+ 53-	2+ 3+ 5+ -2 -4 -6  2 -4
Curve Equation t 4770c1 [1,-1,0,-30525,-2045755] 2 4770c2 [1,-1,0,-488445,-131270779] 2
4770d (2 curves)	0	2+ 3+ 5- 53+	2+ 3+ 5- -2 -2  0 -2 -4
Curve Equation t 4770d1 [1,-1,0,366,-15020] 2 4770d2 [1,-1,0,-7314,-225452] 2
4770e (1 curve)	1	2+ 3+ 5- 53-	2+ 3+ 5-  1 -3 -2  6 -5
Curve Equation t Generators 4770e1 [1,-1,0,-879,10403] 1 [7:64:1]
4770f (4 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+  0  0 -2  2  8
Curve Equation t 4770f1 [1,-1,0,-270,-2300] 2 4770f2 [1,-1,0,-4770,-125600] 4 4770f3 [1,-1,0,-76320,-8096270] 2 4770f4 [1,-1,0,-5220,-100130] 2
4770g (4 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+  4 -4  6  6  0
Curve Equation t 4770g1 [1,-1,0,-1215,-1139] 2 4770g2 [1,-1,0,-12735,554125] 4 4770g3 [1,-1,0,-203535,35394205] 2 4770g4 [1,-1,0,-6255,1112701] 2
4770h (4 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+ -4 -4 -2 -2  0
Curve Equation t 4770h1 [1,-1,0,-8150040,-8953419200] 2 4770h2 [1,-1,0,-8150760,-8951757584] 4 4770h3 [1,-1,0,-9343260,-6159638084] 2 4770h4 [1,-1,0,-6969780,-11637542300] 2
4770i (1 curve)	0	2+ 3- 5+ 53+	2+ 3- 5+  5  5 -2 -8  3
Curve Equation t 4770i1 [1,-1,0,-78017760,265259084800] 1
4770j (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+  0 -2  2  0 -2
Curve Equation t Generators 4770j1 [1,-1,0,-90,756] 2 [3:21:1] 4770j2 [1,-1,0,-1890,32076] 2 [-15:246:1]
4770k (4 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+  2  0 -4  0  8
Curve Equation t Generators 4770k1 [1,-1,0,-1890,22356] 2 [-45:144:1] 4770k2 [1,-1,0,-11610,-461700] 2 [-69:120:1] 4770k3 [1,-1,0,-139590,20108736] 6 [-225:6444:1] 4770k4 [1,-1,0,-139860,20027250] 6 [-77217:2209710:343]
4770l (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+ -2  4  0  4 -4
Curve Equation t Generators 4770l1 [1,-1,0,-1530,-20300] 2 [-19:50:1] 4770l2 [1,-1,0,-5850,151636] 2 [-37:581:1]
4770m (1 curve)	1	2+ 3- 5- 53+	2+ 3- 5-  1  1 -6  4 -1
Curve Equation t Generators 4770m1 [1,-1,0,-990189,-379012955] 1 [1781:58307:1]
4770n (1 curve)	1	2+ 3- 5- 53+	2+ 3- 5- -2  4 -3  1 -1
Curve Equation t Generators 4770n1 [1,-1,0,81,-275] 1 [6:17:1]
4770o (2 curves)	1	2+ 3- 5- 53+	2+ 3- 5- -4 -4  4  4 -6
Curve Equation t Generators 4770o1 [1,-1,0,-1224,16780] 2 [11:62:1] 4770o2 [1,-1,0,-954,24178] 2 [17:104:1]
4770p (2 curves)	0	2+ 3- 5- 53-	2+ 3- 5-  0  2  4  2  4
Curve Equation t 4770p1 [1,-1,0,-1044,23440] 2 4770p2 [1,-1,0,-20124,1103368] 2
4770q (1 curve)	0	2+ 3- 5- 53-	2+ 3- 5- -3  3 -2  4 -7
Curve Equation t 4770q1 [1,-1,0,-3654,-97740] 1
4770r (2 curves)	0	2+ 3- 5- 53-	2+ 3- 5-  4 -2  0 -2 -4
Curve Equation t 4770r1 [1,-1,0,30906,4098100] 2 4770r2 [1,-1,0,-274374,47020468] 2
4770s (1 curve)	0	2- 3+ 5+ 53+	2- 3+ 5+  1  3 -2 -6 -5
Curve Equation t 4770s1 [1,-1,1,-98,-353] 1
4770t (2 curves)	1	2- 3+ 5+ 53-	2- 3+ 5+ -2  2  0  2 -4
Curve Equation t Generators 4770t1 [1,-1,1,3292,402247] 2 [-43:445:1] 4770t2 [1,-1,1,-65828,6153031] 2 [-239:2981:1]
4770u (1 curve)	1	2- 3+ 5- 53+	2- 3+ 5-  1 -5 -6 -2 -1
Curve Equation t Generators 4770u1 [1,-1,1,1393,15831] 1 [41:-396:1]
4770v (2 curves)	1	2- 3+ 5- 53+	2- 3+ 5- -2  4 -6 -2 -4
Curve Equation t Generators 4770v1 [1,-1,1,-3392,76899] 2 [29:33:1] 4770v2 [1,-1,1,-54272,4879971] 2 [131:9:1]
4770w (2 curves)	1	2- 3+ 5- 53+	2- 3+ 5- -2 -4  2 -2  4
Curve Equation t Generators 4770w1 [1,-1,1,-17,-2959] 2 [21:64:1] 4770w2 [1,-1,1,-3197,-67831] 2 [-33:46:1]
4770x (1 curve)	1	2- 3- 5+ 53+	2- 3- 5+ -2  0  1 -3  1
Curve Equation t Generators 4770x1 [1,-1,1,11032,-836693] 1 [533:12233:1]
4770y (2 curves)	1	2- 3- 5+ 53+	2- 3- 5+ -2  0 -2  6 -2
Curve Equation t Generators 4770y1 [1,-1,1,-38,37] 2 [-5:11:1] 4770y2 [1,-1,1,142,181] 2 [1:17:1]
4770z (2 curves)	0	2- 3- 5+ 53-	2- 3- 5+  0  4 -4  0 -2
Curve Equation t 4770z1 [1,-1,1,-25223,1155647] 2 4770z2 [1,-1,1,62257,7349231] 2
4770ba (1 curve)	0	2- 3- 5- 53+	2- 3- 5-  1  5  2  4  1
Curve Equation t 4770ba1 [1,-1,1,2325253,-991644181] 1
4770bb (2 curves)	0	2- 3- 5- 53+	2- 3- 5-  2  0  0 -8  0
Curve Equation t 4770bb1 [1,-1,1,-93362,-10936911] 2 4770bb2 [1,-1,1,-1493042,-701818959] 2
4770bc (2 curves)	0	2- 3- 5- 53+	2- 3- 5-  2  0  5 -3  5
Curve Equation t 4770bc1 [1,-1,1,-122,5069] 1 4770bc2 [1,-1,1,-26357,1653581] 3
4770bd (2 curves)	0	2- 3- 5- 53+	2- 3- 5- -2 -4 -4  4  4
Curve Equation t 4770bd1 [1,-1,1,-212,371] 2 4770bd2 [1,-1,1,-2642,52859] 2
4770be (2 curves)	0	2- 3- 5- 53+	2- 3- 5-  4 -2  6  4  2
Curve Equation t 4770be1 [1,-1,1,-7412,-274089] 2 4770be2 [1,-1,1,-122612,-16494249] 2
4770bf (2 curves)	0	2- 3- 5- 53+	2- 3- 5- -4  6  6  4 -6
Curve Equation t 4770bf1 [1,-1,1,2983,2762709] 2 4770bf2 [1,-1,1,-278267,55300209] 2
4770bg (4 curves)	1	2- 3- 5- 53-	2- 3- 5-  0  0 -2 -2 -4
Curve Equation t Generators 4770bg1 [1,-1,1,553,-1681] 4 [7:46:1] 4770bg2 [1,-1,1,-2327,-12049] 4 [-39:154:1] 4770bg3 [1,-1,1,-29327,-1923649] 2 [-99:94:1] 4770bg4 [1,-1,1,-21407,1201439] 2 [-3:1126:1]
4770bh (4 curves)	1	2- 3- 5- 53-	2- 3- 5-  0 -4 -2  2 -8
Curve Equation t Generators 4770bh1 [1,-1,1,-141647,6455319] 2 [467:-6714:1] 4770bh2 [1,-1,1,-1800527,929456151] 4 [-199:35874:1] 4770bh3 [1,-1,1,-28800527,59497856151] 4 [1151:166374:1] 4770bh4 [1,-1,1,-1342607,1413202839] 2 [-103:39426:1]
4770bi (1 curve)	1	2- 3- 5- 53-	2- 3- 5- -3 -1 -2 -4  7
Curve Equation t Generators 4770bi1 [1,-1,1,58,141] 1 [11:39:1]

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