Cremona's table of elliptic curves

32648 = 2³ · 7 · 11 · 53

Class	r	Atkin-Lehner	Eigenvalues
32648a (2 curves)	1	2+ 7+ 11- 53-	2+ -2  0 7+ 11-  2 -2  4
Curve Equation t Generators 32648a1 [0,1,0,-43,-78] 2 [-2:2:1] 32648a2 [0,1,0,-308,1936] 2 [0:44:1]
32648b (2 curves)	1	2+ 7+ 11- 53-	2+ -2  0 7+ 11- -6  6 -6
Curve Equation t Generators 32648b1 [0,1,0,212,0] 2 [16:88:1] 32648b2 [0,1,0,-848,-848] 2 [-12:88:1]
32648c (2 curves)	1	2+ 7- 11+ 53-	2+  0  2 7- 11+ -4  6  8
Curve Equation t Generators 32648c1 [0,0,0,-17099,-861002] 2 [195929607:39126804592:4913] 32648c2 [0,0,0,-273619,-55089330] 2 [336887257350867262:-67271439179953473315:8447286387896]
32648d (2 curves)	0	2+ 7- 11- 53-	2+  2  2 7- 11-  2  0 -8
Curve Equation t 32648d1 [0,-1,0,4048,59612] 2 32648d2 [0,-1,0,-19272,535340] 2
32648e (1 curve)	0	2- 7+ 11+ 53+	2-  1 -3 7+ 11+  5  2 -2
Curve Equation t 32648e1 [0,1,0,1728,-34336] 1
32648f (2 curves)	1	2- 7+ 11+ 53-	2- -2  0 7+ 11+ -2 -6  0
Curve Equation t Generators 32648f1 [0,1,0,-43,6] 2 [-5:11:1] 32648f2 [0,1,0,-428,-3536] 2 [-12:4:1]
32648g (1 curve)	1	2- 7- 11+ 53+	2-  1  3 7- 11+ -1 -4 -4
Curve Equation t Generators 32648g1 [0,1,0,-544,5344] 1 [15:28:1]
32648h (1 curve)	1	2- 7- 11+ 53+	2-  1 -3 7- 11+ -2 -4  6
Curve Equation t Generators 32648h1 [0,1,0,-1097,-14389] 1 [41:106:1]
32648i (2 curves)	1	2- 7- 11- 53-	2-  2  0 7- 11- -6  2  6
Curve Equation t Generators 32648i1 [0,-1,0,-2023,35304] 2 [-39:231:1] 32648i2 [0,-1,0,-308,91556] 2 [52:462:1]

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

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