Cremona's table of elliptic curves

8904 = 2³ · 3 · 7 · 53

Class	r	Atkin-Lehner	Eigenvalues
8904a (1 curve)	2	2+ 3+ 7- 53+	2+ 3+ -3 7- -5 -4  0 -3
Curve Equation t Generators 8904a1 [0,-1,0,23,301] 1 [-5:6:1]&[-3:14:1]
8904b (1 curve)	1	2+ 3- 7- 53+	2+ 3- -1 7- -1  4  4 -5
Curve Equation t Generators 8904b1 [0,1,0,-1401,20043] 1 [39:-162:1]
8904c (4 curves)	1	2+ 3- 7- 53+	2+ 3-  2 7- -4 -2 -2  4
Curve Equation t Generators 8904c1 [0,1,0,-12,-480] 2 [260:4200:1] 8904c2 [0,1,0,-992,-12240] 4 [7041:113050:27] 8904c3 [0,1,0,-15832,-772048] 2 [-62566136450:-252589077:857375000] 8904c4 [0,1,0,-1832,10608] 2 [31708349850:145751344239:614125000]
8904d (4 curves)	0	2+ 3- 7- 53-	2+ 3-  2 7-  4 -2 -6  4
Curve Equation t 8904d1 [0,1,0,-1447,20702] 4 8904d2 [0,1,0,-1692,12960] 4 8904d3 [0,1,0,-13032,-567648] 2 8904d4 [0,1,0,5728,102000] 2
8904e (1 curve)	1	2- 3+ 7- 53+	2- 3+  1 7-  3 -6  2 -3
Curve Equation t Generators 8904e1 [0,-1,0,-1505,-26667] 1 [59:294:1]
8904f (1 curve)	0	2- 3+ 7- 53-	2- 3+ -3 7-  3 -4  5  8
Curve Equation t 8904f1 [0,-1,0,15248,64204] 1
8904g (1 curve)	0	2- 3- 7+ 53-	2- 3-  1 7+ -5  0 -7 -4
Curve Equation t 8904g1 [0,1,0,-9360,-355104] 1
8904h (2 curves)	0	2- 3- 7+ 53-	2- 3- -2 7+ -2 -6 -4  8
Curve Equation t 8904h1 [0,1,0,-404,-4704] 2 8904h2 [0,1,0,-7264,-240688] 2
8904i (4 curves)	0	2- 3- 7+ 53-	2- 3- -2 7+  4 -6  2 -4
Curve Equation t 8904i1 [0,1,0,5516,325952] 4 8904i2 [0,1,0,-50664,3741696] 4 8904i3 [0,1,0,-222384,-36784224] 2 8904i4 [0,1,0,-777824,263774112] 2
8904j (1 curve)	0	2- 3- 7+ 53-	2- 3-  3 7+  3  4 -4  3
Curve Equation t 8904j1 [0,1,0,-1656696529,25954003279043] 1
8904k (1 curve)	0	2- 3- 7+ 53-	2- 3-  3 7+  3 -4  4  3
Curve Equation t 8904k1 [0,1,0,-49,-157] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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