Cremona's table of elliptic curves

7755 = 3 · 5 · 11 · 47

Class	r	Atkin-Lehner	Eigenvalues
7755a (1 curve)	1	3+ 5+ 11+ 47+	1 3+ 5+  3 11+  5 -2 -6
Curve Equation t Generators 7755a1 [1,1,0,-3,-18] 1 [6:12:1]
7755b (1 curve)	0	3+ 5+ 11+ 47-	-2 3+ 5+  5 11+  6  2 -4
Curve Equation t 7755b1 [0,-1,1,54,-508] 1
7755c (4 curves)	1	3+ 5+ 11- 47-	-1 3+ 5+  0 11-  2  2  4
Curve Equation t Generators 7755c1 [1,1,1,24,24] 2 [8:24:1] 7755c2 [1,1,1,-101,74] 4 [-6:25:1] 7755c3 [1,1,1,-926,-11146] 2 [-17:14:1] 7755c4 [1,1,1,-1276,16994] 2 [-4:150:1]
7755d (2 curves)	1	3+ 5+ 11- 47-	-1 3+ 5+ -2 11- -6  6  2
Curve Equation t Generators 7755d1 [1,1,1,-2861,-54286] 2 [-34:88:1] 7755d2 [1,1,1,3794,-261922] 2 [76:649:1]
7755e (1 curve)	0	3+ 5- 11- 47-	2 3+ 5-  1 11-  6  6 -4
Curve Equation t 7755e1 [0,-1,1,-9670,630681] 1
7755f (2 curves)	1	3- 5+ 11- 47+	-1 3- 5+  2 11-  6 -2 -2
Curve Equation t Generators 7755f1 [1,0,0,-11,0] 2 [9:21:1] 7755f2 [1,0,0,44,11] 2 [1:7:1]
7755g (1 curve)	0	3- 5+ 11- 47-	0 3- 5+ -2 11-  3  0  2
Curve Equation t 7755g1 [0,1,1,-22561,-1740434] 1
7755h (6 curves)	0	3- 5- 11- 47+	-1 3- 5-  0 11-  6  2  4
Curve Equation t 7755h1 [1,0,0,775,118800] 4 7755h2 [1,0,0,-32030,2133027] 8 7755h3 [1,0,0,-81035,-5972400] 4 7755h4 [1,0,0,-507905,139280202] 8 7755h5 [1,0,0,-1174490,-489935583] 2 7755h6 [1,0,0,228340,-40560525] 2
7755i (1 curve)	1	3- 5- 11- 47-	-1 3- 5-  1 11- -3 -6 -2
Curve Equation t Generators 7755i1 [1,0,0,-3830,-185223] 1 [409:-8372:1]

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

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