Cremona's table of elliptic curves

84420 = 2² · 3² · 5 · 7 · 67

Class	r	Atkin-Lehner	Eigenvalues
84420a (2 curves)	1	2- 3+ 5+ 7+ 67-	2- 3+ 5+ 7+  0 -4  2 -6
Curve Equation t Generators 84420a1 [0,0,0,-34548,-2408747] 2 [34692:752209:64] 84420a2 [0,0,0,-81423,5531878] 2 [2118:96614:1]
84420b (2 curves)	1	2- 3+ 5+ 7+ 67-	2- 3+ 5+ 7+ -2  4  2  6
Curve Equation t Generators 84420b1 [0,0,0,-4308,-108743] 2 [231:3350:1] 84420b2 [0,0,0,-3303,-160802] 2 [158:1806:1]
84420c (1 curve)	1	2- 3+ 5+ 7- 67+	2- 3+ 5+ 7-  3 -7  2 -2
Curve Equation t Generators 84420c1 [0,0,0,-1053,-24327] 1 [48:189:1]
84420d (2 curves)	0	2- 3+ 5+ 7- 67-	2- 3+ 5+ 7-  4  4  2  2
Curve Equation t 84420d1 [0,0,0,-202068,-34925067] 2 84420d2 [0,0,0,-3232143,-2236577562] 2
84420e (2 curves)	2	2- 3+ 5- 7+ 67-	2- 3+ 5- 7+  0 -4 -2 -6
Curve Equation t Generators 84420e1 [0,0,0,-310932,65036169] 2 [-617:4690:1]&[-312:11475:1] 84420e2 [0,0,0,-732807,-149360706] 2 [1083:18090:1]&[-437:9350:1]
84420f (2 curves)	0	2- 3+ 5- 7+ 67-	2- 3+ 5- 7+  2  4 -2  6
Curve Equation t 84420f1 [0,0,0,-38772,2936061] 2 84420f2 [0,0,0,-29727,4341654] 2
84420g (1 curve)	2	2- 3+ 5- 7- 67+	2- 3+ 5- 7- -3 -7 -2 -2
Curve Equation t Generators 84420g1 [0,0,0,-117,901] 1 [-13:15:1]&[5:-21:1]
84420h (2 curves)	1	2- 3+ 5- 7- 67-	2- 3+ 5- 7- -4  4 -2  2
Curve Equation t Generators 84420h1 [0,0,0,-22452,1293521] 2 [95:134:1] 84420h2 [0,0,0,-359127,82836206] 2 [430:2814:1]
84420i (1 curve)	0	2- 3- 5+ 7+ 67-	2- 3- 5+ 7+ -1  5  6 -8
Curve Equation t 84420i1 [0,0,0,-1713,-134363] 1
84420j (1 curve)	0	2- 3- 5+ 7+ 67-	2- 3- 5+ 7+  6 -4  5  3
Curve Equation t 84420j1 [0,0,0,-3288,-72812] 1
84420k (1 curve)	0	2- 3- 5+ 7- 67+	2- 3- 5+ 7- -1  5  7 -2
Curve Equation t 84420k1 [0,0,0,-7488,1059588] 1
84420l (2 curves)	0	2- 3- 5+ 7- 67+	2- 3- 5+ 7-  2  6  4 -2
Curve Equation t 84420l1 [0,0,0,-12288,-522587] 2 84420l2 [0,0,0,-6663,-1002962] 2
84420m (2 curves)	2	2- 3- 5+ 7- 67+	2- 3- 5+ 7- -2 -6 -4 -2
Curve Equation t Generators 84420m1 [0,0,0,-68808,6947057] 2 [166:-315:1]&[-212:3465:1] 84420m2 [0,0,0,-66783,7375142] 2 [139:-882:1]&[-218:3402:1]
84420n (4 curves)	1	2- 3- 5+ 7- 67-	2- 3- 5+ 7-  0  2 -6  2
Curve Equation t Generators 84420n1 [0,0,0,-79068,8134117] 2 [-309:1750:1] 84420n2 [0,0,0,-230943,-32477258] 2 [16502:2118942:1] 84420n3 [0,0,0,-6316068,6109677817] 6 [-1929:105430:1] 84420n4 [0,0,0,-6316743,6108306622] 6 [-33904806:1853015783:17576]
84420o (2 curves)	1	2- 3- 5+ 7- 67-	2- 3- 5+ 7-  0  4  2  2
Curve Equation t Generators 84420o1 [0,0,0,-156288,23700913] 2 [38:4221:1] 84420o2 [0,0,0,-231663,-1519562] 2 [551:6174:1]
84420p (1 curve)	1	2- 3- 5+ 7- 67-	2- 3- 5+ 7-  3  0  6  0
Curve Equation t Generators 84420p1 [0,0,0,-48,1748] 1 [37:225:1]
84420q (1 curve)	1	2- 3- 5+ 7- 67-	2- 3- 5+ 7- -3 -1 -2 -8
Curve Equation t Generators 84420q1 [0,0,0,514347,1370697473] 1 [136:37989:1]
84420r (2 curves)	0	2- 3- 5- 7+ 67+	2- 3- 5- 7+  2 -2  4  6
Curve Equation t 84420r1 [0,0,0,-2618832,-844273631] 2 84420r2 [0,0,0,8771793,-6218370506] 2
84420s (2 curves)	0	2- 3- 5- 7+ 67+	2- 3- 5- 7+ -2  0 -2 -2
Curve Equation t 84420s1 [0,0,0,-282792,57882701] 2 84420s2 [0,0,0,-282567,57979406] 2
84420t (2 curves)	0	2- 3- 5- 7+ 67+	2- 3- 5- 7+  4  4  6  6
Curve Equation t 84420t1 [0,0,0,-5592,-107651] 2 84420t2 [0,0,0,-80967,-8866226] 2
84420u (1 curve)	1	2- 3- 5- 7+ 67-	2- 3- 5- 7+  0  0  3  7
Curve Equation t Generators 84420u1 [0,0,0,3168,-1457244] 1 [232:-3430:1]
84420v (2 curves)	1	2- 3- 5- 7+ 67-	2- 3- 5- 7+  2 -4 -6  6
Curve Equation t Generators 84420v1 [0,0,0,-7344552,7658993729] 2 [-1472:123615:1] 84420v2 [0,0,0,-6334527,9840849734] 2 [-1405:126362:1]
84420w (1 curve)	1	2- 3- 5- 7+ 67-	2- 3- 5- 7+  5 -1  6 -6
Curve Equation t Generators 84420w1 [0,0,0,123,821] 1 [7:-45:1]
84420x (2 curves)	1	2- 3- 5- 7- 67+	2- 3- 5- 7-  0  6 -6  2
Curve Equation t Generators 84420x1 [0,0,0,-1452,21229] 2 [3:130:1] 84420x2 [0,0,0,-2127,-506] 2 [-30:689:8]
84420y (2 curves)	0	2- 3- 5- 7- 67-	2- 3- 5- 7-  3 -4  0  2
Curve Equation t 84420y1 [0,0,0,-4255032,-3378375884] 1 84420y2 [0,0,0,-1794792,-7237855676] 3
84420z (2 curves)	0	2- 3- 5- 7- 67-	2- 3- 5- 7-  3  5  6  2
Curve Equation t 84420z1 [0,0,0,-90597,11753089] 1 84420z2 [0,0,0,-7579857,8032294681] 3
84420ba (1 curve)	0	2- 3- 5- 7- 67-	2- 3- 5- 7- -3  4  0 -6
Curve Equation t 84420ba1 [0,0,0,28968,-940844] 1
84420bb (1 curve)	2	2- 3- 5- 7- 67-	2- 3- 5- 7- -3 -5 -2  0
Curve Equation t Generators 84420bb1 [0,0,0,-1167897,487590689] 1 [-1247:2205:1]&[223:-15435:1]
84420bc (2 curves)	0	2- 3- 5- 7- 67-	2- 3- 5- 7- -4 -2  2 -6
Curve Equation t 84420bc1 [0,0,0,-5052,20221] 2 84420bc2 [0,0,0,-59727,5608006] 2
84420bd (4 curves)	0	2- 3- 5- 7- 67-	2- 3- 5- 7-  6  2  0  2
Curve Equation t 84420bd1 [0,0,0,-50259072,-137141789339] 2 84420bd2 [0,0,0,-50253447,-137174021714] 2 84420bd3 [0,0,0,-50984832,-132976990631] 6 84420bd4 [0,0,0,36905793,-543584412506] 6
84420be (2 curves)	2	2- 3- 5- 7- 67-	2- 3- 5- 7- -6 -2 -8 -6
Curve Equation t Generators 84420be1 [0,0,0,-1272,-16711] 2 [-22:25:1]&[-20:27:1] 84420be2 [0,0,0,753,-64906] 2 [55:378:1]&[115:1242:1]

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