Cremona's table of elliptic curves

8745 = 3 · 5 · 11 · 53

Class	r	Atkin-Lehner	Eigenvalues
8745a (1 curve)	0	3+ 5+ 11+ 53-	-1 3+ 5+  2 11+  1 -6  8
Curve Equation t 8745a1 [1,1,1,539,-676] 1
8745b (2 curves)	0	3+ 5+ 11+ 53-	-1 3+ 5+  2 11+ -4  4 -2
Curve Equation t 8745b1 [1,1,1,-272316,-45414396] 2 8745b2 [1,1,1,532939,-262189042] 2
8745c (2 curves)	2	3+ 5+ 11+ 53-	-1 3+ 5+ -2 11+ -4 -4  2
Curve Equation t Generators 8745c1 [1,1,1,-46,98] 2 [-8:9:1]&[-1:12:1] 8745c2 [1,1,1,9,384] 2 [-6:15:1]&[4:20:1]
8745d (2 curves)	0	3+ 5+ 11+ 53-	-1 3+ 5+ -4 11+  4  0  8
Curve Equation t 8745d1 [1,1,1,-302776,-8387152] 2 8745d2 [1,1,1,-3550471,-2571468046] 2
8745e (2 curves)	2	3+ 5- 11+ 53+	-1 3+ 5- -2 11+  0 -8 -6
Curve Equation t Generators 8745e1 [1,1,1,-105,102] 2 [-10:21:1]&[-8:26:1] 8745e2 [1,1,1,390,1290] 2 [-2:23:1]&[3:48:1]
8745f (1 curve)	0	3- 5+ 11+ 53+	0 3- 5+  0 11+  4 -7  2
Curve Equation t 8745f1 [0,1,1,-551,45230] 1
8745g (2 curves)	1	3- 5+ 11+ 53-	-1 3- 5+  0 11+  4  0 -4
Curve Equation t Generators 8745g1 [1,0,0,-2811,-48240] 2 [-39:69:1] 8745g2 [1,0,0,-42906,-3424239] 2 [-120:69:1]
8745h (1 curve)	1	3- 5+ 11- 53+	0 3- 5+  4 11-  4 -7 -2
Curve Equation t Generators 8745h1 [0,1,1,39,110] 1 [12:49:1]
8745i (4 curves)	1	3- 5+ 11- 53+	1 3- 5+ -4 11- -2  6  4
Curve Equation t Generators 8745i1 [1,0,1,2126,-35329] 2 [79:752:1] 8745i2 [1,0,1,-11919,-333083] 4 [-55:423:1] 8745i3 [1,0,1,-172244,-27524203] 2 [3894:14087:8] 8745i4 [1,0,1,-76314,7857961] 2 [-151:4068:1]
8745j (1 curve)	0	3- 5+ 11- 53-	-1 3- 5+  2 11-  1 -2  4
Curve Equation t 8745j1 [1,0,0,24,105] 1
8745k (4 curves)	0	3- 5- 11+ 53-	-1 3- 5-  4 11+ -2  2 -8
Curve Equation t 8745k1 [1,0,0,-695,6960] 4 8745k2 [1,0,0,-1100,-2193] 4 8745k3 [1,0,0,-13025,-572208] 2 8745k4 [1,0,0,4345,-16350] 4

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

Part of Computational Number Theory
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