Cremona's table of elliptic curves

1827 = 3² · 7 · 29

Class	r	Atkin-Lehner	Eigenvalues
1827a (1 curve)	1	3- 7- 29+	1 3- -1 7-  5 -5  4 -4
Curve Equation t Generators 1827a1 [1,-1,0,0,49] 1 [0:7:1]
1827b (6 curves)	1	3- 7- 29+	1 3-  2 7- -4 -2 -2 -4
Curve Equation t Generators 1827b1 [1,-1,0,-7056,-242501] 2 [1470:55517:1] 1827b2 [1,-1,0,-115101,-15001448] 4 [11886:438907:8] 1827b3 [1,-1,0,-1841616,-961476971] 2 [225181950:4831881187:125000] 1827b4 [1,-1,0,-117306,-14395073] 4 [354158322:13073380789:238328] 1827b5 [1,-1,0,-382221,74033554] 2 [62090:1093604:343] 1827b6 [1,-1,0,112329,-64042160] 2 [296984417277290730:-11666643850166014315:203691874936472]
1827c (2 curves)	1	3- 7- 29+	-1 3-  0 7-  0 -6  2  0
Curve Equation t Generators 1827c1 [1,-1,1,-5,-84] 2 [12:32:1] 1827c2 [1,-1,1,-320,-2100] 2 [-10:9:1]
1827d (2 curves)	0	3- 7- 29-	-1 3- -2 7-  4 -2 -4  2
Curve Equation t 1827d1 [1,-1,1,-86,-300] 2 1827d2 [1,-1,1,-1391,-19614] 2
1827e (2 curves)	0	3- 7- 29-	2 3-  4 7- -2  4  2  5
Curve Equation t 1827e1 [0,0,1,177,31] 1 1827e2 [0,0,1,-19353,1036381] 1

Data from Elliptic Curve Data by J. E. Cremona.
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