Cremona's table of elliptic curves

82656 = 2⁵ · 3² · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
82656a (2 curves)	1	2+ 3+ 7+ 41+	2+ 3+  2 7+  2 -4  6 -8
Curve Equation t Generators 82656a1 [0,0,0,-69,-40] 2 [-7:10:1] 82656a2 [0,0,0,-684,6848] 2 [-26:84:1]
82656b (2 curves)	0	2+ 3+ 7- 41+	2+ 3+  2 7- -2 -4  6  8
Curve Equation t 82656b1 [0,0,0,-69,40] 2 82656b2 [0,0,0,-684,-6848] 2
82656c (1 curve)	0	2+ 3- 7+ 41+	2+ 3-  0 7+  1 -4  3  8
Curve Equation t 82656c1 [0,0,0,-3720,-87568] 1
82656d (2 curves)	0	2+ 3- 7+ 41+	2+ 3-  0 7+ -2  6 -6  0
Curve Equation t 82656d1 [0,0,0,-312105,-98993648] 2 82656d2 [0,0,0,-5626515,-5135991446] 2
82656e (1 curve)	0	2+ 3- 7+ 41+	2+ 3-  0 7+  5 -4 -2  5
Curve Equation t 82656e1 [0,0,0,-75,898] 1
82656f (1 curve)	0	2+ 3- 7+ 41+	2+ 3- -1 7+  2  1  0  4
Curve Equation t 82656f1 [0,0,0,-52428,-4620544] 1
82656g (1 curve)	0	2+ 3- 7+ 41+	2+ 3- -1 7+  2 -7  0  4
Curve Equation t 82656g1 [0,0,0,-2141326668,38156288784896] 1
82656h (1 curve)	0	2+ 3- 7+ 41+	2+ 3- -1 7+ -4  5  3  1
Curve Equation t 82656h1 [0,0,0,-2883,-59974] 1
82656i (4 curves)	0	2+ 3- 7+ 41+	2+ 3-  2 7+ -4 -2  6  4
Curve Equation t 82656i1 [0,0,0,-5169,142760] 4 82656i2 [0,0,0,-3324,246080] 2 82656i3 [0,0,0,-7059,28982] 2 82656i4 [0,0,0,-82659,9147098] 2
82656j (1 curve)	0	2+ 3- 7+ 41+	2+ 3- -3 7+  2 -1 -2  2
Curve Equation t 82656j1 [0,0,0,-134364,-18975584] 1
82656k (1 curve)	0	2+ 3- 7+ 41+	2+ 3-  4 7+ -3 -4 -5  4
Curve Equation t 82656k1 [0,0,0,-4846008,4106056880] 1
82656l (2 curves)	1	2+ 3- 7+ 41-	2+ 3-  0 7+  6  2  6  0
Curve Equation t Generators 82656l1 [0,0,0,375,-13984] 2 [3820:20162:125] 82656l2 [0,0,0,-6915,-207898] 2 [137:1190:1]
82656m (4 curves)	1	2+ 3- 7+ 41-	2+ 3-  2 7+  0  6  2  4
Curve Equation t Generators 82656m1 [0,0,0,-3909,-48620] 4 [7568:658350:1] 82656m2 [0,0,0,13101,-358202] 4 [4659512550:-29137981639:166375000] 82656m3 [0,0,0,-29739,1940290] 2 [95065436950:-66563385471:857375000] 82656m4 [0,0,0,-53724,-4791008] 2 [946166050:82279174131:125000]
82656n (1 curve)	1	2+ 3- 7+ 41-	2+ 3-  4 7+  1  0 -3  0
Curve Equation t Generators 82656n1 [0,0,0,-284808,96585680] 1 [84920:1839852:125]
82656o (2 curves)	1	2+ 3- 7- 41+	2+ 3-  0 7-  2  6 -6  0
Curve Equation t Generators 82656o1 [0,0,0,-312105,98993648] 2 [-148:11914:1] 82656o2 [0,0,0,-5626515,5135991446] 2 [-655:92414:1]
82656p (1 curve)	1	2+ 3- 7- 41+	2+ 3-  1 7-  0 -6  7 -4
Curve Equation t Generators 82656p1 [0,0,0,-5907,36902] 1 [101:686:1]
82656q (1 curve)	1	2+ 3- 7- 41+	2+ 3-  1 7-  6 -3 -2  2
Curve Equation t Generators 82656q1 [0,0,0,708,992] 1 [37:279:1]
82656r (1 curve)	1	2+ 3- 7- 41+	2+ 3- -1 7- -2  1  0 -4
Curve Equation t Generators 82656r1 [0,0,0,-52428,4620544] 1 [134:36:1]
82656s (1 curve)	1	2+ 3- 7- 41+	2+ 3- -1 7- -2 -7  0 -4
Curve Equation t Generators 82656s1 [0,0,0,-2141326668,-38156288784896] 1 [56054:4235364:1]
82656t (1 curve)	1	2+ 3- 7- 41+	2+ 3- -1 7-  4  5  3 -1
Curve Equation t Generators 82656t1 [0,0,0,-2883,59974] 1 [17:126:1]
82656u (4 curves)	1	2+ 3- 7- 41+	2+ 3-  2 7-  4 -2  6 -4
Curve Equation t Generators 82656u1 [0,0,0,-5169,-142760] 4 [158810:1744029:1000] 82656u2 [0,0,0,-3324,-246080] 2 [605:14805:1] 82656u3 [0,0,0,-7059,-28982] 2 [4786908710:-51474147939:29791000] 82656u4 [0,0,0,-82659,-9147098] 2 [-513383907138:294073070:3092990993]
82656v (1 curve)	1	2+ 3- 7- 41+	2+ 3-  3 7-  2 -4  1  8
Curve Equation t Generators 82656v1 [0,0,0,-171,-702] 1 [-4790:2681:1000]
82656w (1 curve)	1	2+ 3- 7- 41+	2+ 3-  4 7-  3 -4 -5 -4
Curve Equation t Generators 82656w1 [0,0,0,-4846008,-4106056880] 1 [48587080:14963331285:512]
82656x (2 curves)	0	2+ 3- 7- 41-	2+ 3-  0 7- -6  2  6  0
Curve Equation t 82656x1 [0,0,0,375,13984] 2 82656x2 [0,0,0,-6915,207898] 2
82656y (2 curves)	1	2- 3+ 7+ 41-	2- 3+ -2 7+ -2 -4 -6 -8
Curve Equation t Generators 82656y1 [0,0,0,-621,1080] 2 [-17:82:1] 82656y2 [0,0,0,-6156,-184896] 2 [-44:28:1]
82656z (2 curves)	0	2- 3+ 7- 41-	2- 3+ -2 7-  2 -4 -6  8
Curve Equation t 82656z1 [0,0,0,-621,-1080] 2 82656z2 [0,0,0,-6156,184896] 2
82656ba (1 curve)	1	2- 3- 7+ 41+	2- 3-  0 7+ -5  4  3  0
Curve Equation t Generators 82656ba1 [0,0,0,2760,-16112] 1 [32:-324:1]
82656bb (1 curve)	1	2- 3- 7+ 41+	2- 3-  1 7+  0 -6  7  4
Curve Equation t Generators 82656bb1 [0,0,0,-5907,-36902] 1 [-419118:6198917:39304]
82656bc (1 curve)	1	2- 3- 7+ 41+	2- 3-  1 7+ -6 -3 -2 -2
Curve Equation t Generators 82656bc1 [0,0,0,708,-992] 1 [14:-108:1]
82656bd (1 curve)	1	2- 3- 7+ 41+	2- 3-  3 7+ -2 -4  1 -8
Curve Equation t Generators 82656bd1 [0,0,0,-171,702] 1 [13:26:1]
82656be (1 curve)	1	2- 3- 7+ 41+	2- 3-  3 7+ -6 -1  0  4
Curve Equation t Generators 82656be1 [0,0,0,-18156,1048448] 1 [112:648:1]
82656bf (1 curve)	2	2- 3- 7- 41+	2- 3-  0 7- -1 -4  3 -8
Curve Equation t Generators 82656bf1 [0,0,0,-3720,87568] 1 [-64:252:1]&[32:-36:1]
82656bg (1 curve)	0	2- 3- 7- 41+	2- 3-  0 7-  5  4  3  0
Curve Equation t 82656bg1 [0,0,0,2760,16112] 1
82656bh (1 curve)	2	2- 3- 7- 41+	2- 3-  0 7- -5 -4 -2 -5
Curve Equation t Generators 82656bh1 [0,0,0,-75,-898] 1 [13:18:1]&[22:90:1]
82656bi (1 curve)	0	2- 3- 7- 41+	2- 3-  3 7-  6 -1  0 -4
Curve Equation t 82656bi1 [0,0,0,-18156,-1048448] 1
82656bj (1 curve)	2	2- 3- 7- 41+	2- 3- -3 7- -2 -1 -2 -2
Curve Equation t Generators 82656bj1 [0,0,0,-134364,18975584] 1 [-410:2268:1]&[206:196:1]
82656bk (4 curves)	1	2- 3- 7- 41-	2- 3-  2 7-  0  6  2 -4
Curve Equation t Generators 82656bk1 [0,0,0,-3909,48620] 4 [-249:7820:27] 82656bk2 [0,0,0,13101,358202] 2 [3884430:61692371:27000] 82656bk3 [0,0,0,-29739,-1940290] 2 [-11893710:9701630:132651] 82656bk4 [0,0,0,-53724,4791008] 4 [-26:2484:1]
82656bl (1 curve)	1	2- 3- 7- 41-	2- 3-  4 7- -1  0 -3  0
Curve Equation t Generators 82656bl1 [0,0,0,-284808,-96585680] 1 [1865:76545:1]

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