Cremona's table of elliptic curves

18755 = 5 · 11² · 31

Class	r	Atkin-Lehner	Eigenvalues
18755a (1 curve)	0	5+ 11- 31+	0 -1 5+  0 11-  6 -5  1
Curve Equation t 18755a1 [0,-1,1,-161,-1068] 1
18755b (2 curves)	1	5+ 11- 31-	1  2 5+ -4 11-  0  8 -4
Curve Equation t Generators 18755b1 [1,1,0,-123,1808] 2 [5376:73300:27] 18755b2 [1,1,0,-3148,66543] 2 [798:22107:1]
18755c (2 curves)	1	5+ 11- 31-	-1 -2 5+ -4 11-  4 -4  4
Curve Equation t Generators 18755c1 [1,0,0,-116586,-19630709] 2 [621165:-94517492:27] 18755c2 [1,0,0,-2007211,-1094640084] 2 [92025:27867054:1]
18755d (1 curve)	1	5+ 11- 31-	2  1 5+  2 11-  1 -1  4
Curve Equation t Generators 18755d1 [0,1,1,4,-5] 1 [1662:4915:216]
18755e (1 curve)	1	5+ 11- 31-	-2  1 5+ -2 11- -1  1 -4
Curve Equation t Generators 18755e1 [0,1,1,444,8146] 1 [40:302:1]
18755f (2 curves)	0	5- 11+ 31+	1 -2 5-  4 11+  6 -2  2
Curve Equation t 18755f1 [1,0,1,-10288,-904719] 2 18755f2 [1,0,1,-216593,-38782317] 2
18755g (2 curves)	2	5- 11+ 31+	-1 -2 5- -4 11+ -6  2 -2
Curve Equation t Generators 18755g1 [1,0,0,-85,672] 2 [-11:23:1]&[-1:28:1] 18755g2 [1,0,0,-1790,28975] 2 [-45:160:1]&[10:105:1]
18755h (1 curve)	0	5- 11- 31-	1  1 5-  2 11-  1  7  1
Curve Equation t 18755h1 [1,0,1,-58,163] 1
18755i (1 curve)	0	5- 11- 31-	-1  1 5- -2 11- -1 -7 -1
Curve Equation t 18755i1 [1,0,0,-6960,-224245] 1
18755j (2 curves)	0	5- 11- 31-	2 -1 5-  2 11-  6  7  5
Curve Equation t 18755j1 [0,-1,1,1170,-13047] 1 18755j2 [0,-1,1,-101680,12537073] 1

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

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