Cremona's table of elliptic curves

116865 = 3² · 5 · 7² · 53

Class	r	Atkin-Lehner	Eigenvalues
116865a (2 curves)	0	3+ 5+ 7- 53+	-1 3+ 5+ 7-  0 -6 -6 -4
Curve Equation t 116865a1 [1,-1,1,-19928,1752706] 2 116865a2 [1,-1,1,-370523,86877172] 2
116865b (2 curves)	2	3+ 5+ 7- 53+	-1 3+ 5+ 7-  2 -2 -4  2
Curve Equation t Generators 116865b1 [1,-1,1,-1553,32512] 2 [-40:191:1]&[-106:1849:8] 116865b2 [1,-1,1,-27278,1740652] 2 [2:1297:1]&[790:13:8]
116865c (1 curve)	0	3+ 5+ 7- 53+	-1 3+ 5+ 7- -3  3  6  2
Curve Equation t 116865c1 [1,-1,1,-466370813,-3876431334758] 1
116865d (1 curve)	0	3+ 5+ 7- 53+	-2 3+ 5+ 7- -6 -4  7 -8
Curve Equation t 116865d1 [0,0,1,-161883603,1586933132258] 1
116865e (1 curve)	1	3+ 5+ 7- 53-	-1 3+ 5+ 7- -3  5  2 -2
Curve Equation t Generators 116865e1 [1,-1,1,-83,-18448] 1 [30:58:1]
116865f (1 curve)	1	3+ 5+ 7- 53-	-2 3+ 5+ 7- -6  0 -3 -4
Curve Equation t Generators 116865f1 [0,0,1,147,-6946] 1 [21:73:1]
116865g (1 curve)	1	3+ 5- 7- 53+	1 3+ 5- 7-  3  5 -2 -2
Curve Equation t Generators 116865g1 [1,-1,0,-744,498833] 1 [352:6439:1]
116865h (1 curve)	1	3+ 5- 7- 53+	2 3+ 5- 7-  6  0  3 -4
Curve Equation t Generators 116865h1 [0,0,1,1323,187535] 1 [-2268:19813:64]
116865i (2 curves)	0	3+ 5- 7- 53-	1 3+ 5- 7-  0 -6  6 -4
Curve Equation t 116865i1 [1,-1,0,-2214,-64177] 2 116865i2 [1,-1,0,-41169,-3203950] 2
116865j (2 curves)	0	3+ 5- 7- 53-	1 3+ 5- 7- -2 -2  4  2
Curve Equation t 116865j1 [1,-1,0,-13974,-863857] 2 116865j2 [1,-1,0,-245499,-46752112] 2
116865k (1 curve)	0	3+ 5- 7- 53-	1 3+ 5- 7-  3  3 -6  2
Curve Equation t 116865k1 [1,-1,0,-51818979,143588803910] 1
116865l (1 curve)	0	3+ 5- 7- 53-	2 3+ 5- 7-  6 -4 -7 -8
Curve Equation t 116865l1 [0,0,1,-17987067,-58775301195] 1
116865m (1 curve)	2	3- 5+ 7+ 53+	-2 3- 5+ 7+ -2 -5  4 -1
Curve Equation t Generators 116865m1 [0,0,1,-7203,1450804] 1 [4802:116861:8]&[49:-1103:1]
116865n (1 curve)	1	3- 5+ 7+ 53-	1 3- 5+ 7+ -3  5 -3 -4
Curve Equation t Generators 116865n1 [1,-1,0,-31320,-1865025] 1 [-110:545:1]
116865o (1 curve)	1	3- 5+ 7+ 53-	-1 3- 5+ 7+ -3  1  1  8
Curve Equation t Generators 116865o1 [1,-1,1,-1542848,736796022] 1 [678:1098:1]
116865p (1 curve)	1	3- 5+ 7- 53+	0 3- 5+ 7-  4  0  5  4
Curve Equation t Generators 116865p1 [0,0,1,-97608,-11775276] 1 [56104958:1081517503:97336]
116865q (1 curve)	1	3- 5+ 7- 53+	-1 3- 5+ 7-  2  4  2  8
Curve Equation t Generators 116865q1 [1,-1,1,-90488,-10769048] 1 [1537262076:625544085944:9261]
116865r (2 curves)	0	3- 5+ 7- 53-	0 3- 5+ 7-  0  4  3 -8
Curve Equation t 116865r1 [0,0,1,-216678,142758229] 1 116865r2 [0,0,1,1926582,-3601195502] 1
116865s (1 curve)	0	3- 5+ 7- 53-	0 3- 5+ 7-  4 -1  6 -7
Curve Equation t 116865s1 [0,0,1,-76818,-46369836] 1
116865t (1 curve)	0	3- 5+ 7- 53-	0 3- 5+ 7- -5 -1  3  2
Curve Equation t 116865t1 [0,0,1,-9408,6854769] 1
116865u (2 curves)	0	3- 5+ 7- 53-	1 3- 5+ 7-  0  6 -6  2
Curve Equation t 116865u1 [1,-1,0,-60720,5774075] 2 116865u2 [1,-1,0,-58515,6211106] 2
116865v (4 curves)	0	3- 5+ 7- 53-	-1 3- 5+ 7-  0  2  2 -8
Curve Equation t 116865v1 [1,-1,1,-629978,-5416288] 2 116865v2 [1,-1,1,-6823823,6840021206] 4 116865v3 [1,-1,1,-3668468,13186071182] 2 116865v4 [1,-1,1,-109080698,438527644706] 2
116865w (4 curves)	0	3- 5+ 7- 53-	-1 3- 5+ 7-  4  2 -2 -4
Curve Equation t 116865w1 [1,-1,1,-3758,60932] 2 116865w2 [1,-1,1,-23603,-1344094] 4 116865w3 [1,-1,1,9472,-4836814] 2 116865w4 [1,-1,1,-374198,-88011178] 2
116865x (4 curves)	2	3- 5+ 7- 53-	-1 3- 5+ 7- -4 -6  6  0
Curve Equation t Generators 116865x1 [1,-1,1,9472,-229638] 2 [310:3369:8]&[72:870:1] 116865x2 [1,-1,1,-45653,-1971588] 4 [-172:963:1]&[-138:1367:1] 116865x3 [1,-1,1,-343328,76138332] 2 [-619:7464:1]&[-460:11916:1] 116865x4 [1,-1,1,-629978,-192227808] 2 [-453:422:1]&[35478:2303877:8]
116865y (1 curve)	0	3- 5+ 7- 53-	2 3- 5+ 7- -2 -4  1 -4
Curve Equation t 116865y1 [0,0,1,45717,2100789] 1
116865z (1 curve)	1	3- 5- 7+ 53+	-1 3- 5- 7+  2 -4 -2 -8
Curve Equation t Generators 116865z1 [1,-1,1,-1847,31924] 1 [44:163:1]
116865ba (1 curve)	0	3- 5- 7+ 53-	0 3- 5- 7+  4  1 -6  7
Curve Equation t 116865ba1 [0,0,1,-3764082,15904853662] 1
116865bb (4 curves)	0	3- 5- 7- 53+	1 3- 5- 7-  0 -6  6 -4
Curve Equation t 116865bb1 [1,-1,0,-255789,-49729352] 2 116865bb2 [1,-1,0,-257994,-48826625] 4 116865bb3 [1,-1,0,92601,-171745232] 2 116865bb4 [1,-1,0,-643869,131840050] 2
116865bc (8 curves)	0	3- 5- 7- 53+	1 3- 5- 7-  4  2  2  4
Curve Equation t 116865bc1 [1,-1,0,-52611309,146894543928] 2 116865bc2 [1,-1,0,-52613514,146881616895] 4 116865bc3 [1,-1,0,-47354589,177403365810] 2 116865bc4 [1,-1,0,-57907719,115532511408] 4 116865bc5 [1,-1,0,160883406,780701289633] 2 116865bc6 [1,-1,0,-361406124,-2556042548445] 4 116865bc7 [1,-1,0,149878251,-9208977092820] 2 116865bc8 [1,-1,0,-5728664979,-166887553815522] 2
116865bd (6 curves)	0	3- 5- 7- 53+	1 3- 5- 7- -4  2 -6  4
Curve Equation t 116865bd1 [1,-1,0,560061,-296297352] 2 116865bd2 [1,-1,0,-4734144,-3317170725] 4 116865bd3 [1,-1,0,-21913299,36376984818] 2 116865bd4 [1,-1,0,-72262269,-236410752600] 4 116865bd5 [1,-1,0,-68789394,-260158966425] 2 116865bd6 [1,-1,0,-1156185144,-15131462116275] 2
116865be (1 curve)	0	3- 5- 7- 53+	-2 3- 5- 7-  2 -4  3  4
Curve Equation t 116865be1 [0,0,1,-48657,4764870] 1
116865bf (1 curve)	2	3- 5- 7- 53+	-2 3- 5- 7- -2  5 -4  1
Curve Equation t Generators 116865bf1 [0,0,1,-147,-4230] 1 [162:261:8]&[23:67:1]
116865bg (1 curve)	1	3- 5- 7- 53-	1 3- 5- 7- -3 -5  3  4
Curve Equation t Generators 116865bg1 [1,-1,0,-639,5620] 1 [-4:92:1]
116865bh (2 curves)	1	3- 5- 7- 53-	1 3- 5- 7-  6 -2  0 -8
Curve Equation t Generators 116865bh1 [1,-1,0,-641664,-199198805] 2 [1286406:11464697:1331] 116865bh2 [1,-1,0,-10288539,-12699619430] 2 [3866:70832:1]
116865bi (1 curve)	1	3- 5- 7- 53-	-1 3- 5- 7- -3 -1 -1 -8
Curve Equation t Generators 116865bi1 [1,-1,1,-75599537,-252569836564] 1 [-4854:4879:1]

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