Cremona's table of elliptic curves

27495 = 3² · 5 · 13 · 47

Class	r	Atkin-Lehner	Eigenvalues
27495a (2 curves)	1	3+ 5+ 13+ 47+	1 3+ 5+  2  4 13+ -4  2
Curve Equation t Generators 27495a1 [1,-1,0,-13830,914551] 2 [1510:17137:8] 27495a2 [1,-1,0,-248205,47648926] 2 [8166:7292:27]
27495b (2 curves)	0	3+ 5+ 13+ 47-	-1 3+ 5+  2 -4 13+ -2  2
Curve Equation t 27495b1 [1,-1,1,-3188,69742] 2 27495b2 [1,-1,1,-1433,144856] 2
27495c (2 curves)	0	3+ 5- 13+ 47+	1 3+ 5-  2  4 13+  2  2
Curve Equation t 27495c1 [1,-1,0,-354,-2465] 2 27495c2 [1,-1,0,-159,-5312] 2
27495d (2 curves)	1	3+ 5- 13+ 47-	-1 3+ 5-  2 -4 13+  4  2
Curve Equation t Generators 27495d1 [1,-1,1,-124472,-24568406] 2 [13404:154847:27] 27495d2 [1,-1,1,-2233847,-1284287156] 2 [2002:46586:1]
27495e (2 curves)	0	3- 5+ 13- 47-	0 3- 5+  2  3 13-  3 -4
Curve Equation t 27495e1 [0,0,1,402,-2547] 1 27495e2 [0,0,1,-4098,140778] 3
27495f (2 curves)	0	3- 5+ 13- 47-	-1 3- 5+  4  4 13-  0  4
Curve Equation t 27495f1 [1,-1,1,-113,17192] 2 27495f2 [1,-1,1,-10688,423272] 2
27495g (1 curve)	2	3- 5- 13- 47+	0 3- 5- -3 -5 13- -5  6
Curve Equation t Generators 27495g1 [0,0,1,1338,9972] 1 [20:-212:1]&[2:112:1]
27495h (4 curves)	0	3- 5- 13- 47+	-1 3- 5-  4 -4 13- -6 -8
Curve Equation t 27495h1 [1,-1,1,-1697,20864] 4 27495h2 [1,-1,1,-9302,-325924] 4 27495h3 [1,-1,1,6493,-1330486] 2 27495h4 [1,-1,1,-146777,-21607054] 2
27495i (1 curve)	0	3- 5- 13- 47+	2 3- 5-  4 -1 13-  3  4
Curve Equation t 27495i1 [0,0,1,-14277,664227] 1
27495j (1 curve)	1	3- 5- 13- 47-	0 3- 5-  1  3 13-  3 -2
Curve Equation t Generators 27495j1 [0,0,1,-8472,300240] 1 [50:-41:1]

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

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