Cremona's table of elliptic curves

12648 = 2³ · 3 · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
12648a (1 curve)	2	2+ 3+ 17- 31+	2+ 3+ -1 -2 -3 -3 17- -3
Curve Equation t Generators 12648a1 [0,-1,0,-561,6069] 1 [-25:62:1]&[3145:-10642:125]
12648b (1 curve)	2	2+ 3- 17+ 31+	2+ 3- -3 -2 -5 -7 17+  5
Curve Equation t Generators 12648b1 [0,1,0,1023,123939] 1 [-150:2511:8]&[-21:306:1]
12648c (1 curve)	2	2+ 3- 17+ 31+	2+ 3- -3 -5 -2  2 17+ -7
Curve Equation t Generators 12648c1 [0,1,0,-492,4041] 1 [-24:51:1]&[3:51:1]
12648d (1 curve)	1	2+ 3- 17- 31+	2+ 3-  1  3 -2 -2 17-  1
Curve Equation t Generators 12648d1 [0,1,0,-3060,-157383] 1 [396:-7803:1]
12648e (2 curves)	1	2- 3+ 17- 31+	2- 3+  0 -4  0  0 17- -4
Curve Equation t Generators 12648e1 [0,-1,0,-1768,39100] 2 [78:608:1] 12648e2 [0,-1,0,-30928,2103628] 2 [-23:1674:1]
12648f (4 curves)	1	2- 3- 17+ 31+	2- 3-  2  0 -4 -2 17+  4
Curve Equation t Generators 12648f1 [0,1,0,-8249247,8363734218] 2 [-261:102465:1] 12648f2 [0,1,0,-128937092,563479546080] 4 [-962:828630:1] 12648f3 [0,1,0,-2062988672,36064930348560] 2 [34903088:-79380:1331] 12648f4 [0,1,0,-125891032,591371708288] 2 [-1172336:1114845120:1331]
12648g (1 curve)	1	2- 3- 17- 31-	2- 3- -1 -1  4  0 17-  1
Curve Equation t Generators 12648g1 [0,1,0,34884,2738853] 1 [-54:837:1]

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

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