Cremona's table of elliptic curves

7638 = 2 · 3 · 19 · 67

Class	r	Atkin-Lehner	Eigenvalues
7638a (2 curves)	1	2+ 3+ 19+ 67+	2+ 3+  2 -2  2  2 -2 19+
Curve Equation t Generators 7638a1 [1,1,0,-34,52] 2 [-4:14:1] 7638a2 [1,1,0,-154,-740] 2 [-7:11:1]
7638b (2 curves)	0	2+ 3+ 19+ 67-	2+ 3+  0 -2 -4  2 -6 19+
Curve Equation t 7638b1 [1,1,0,-163080,24867648] 2 7638b2 [1,1,0,760,72741696] 2
7638c (2 curves)	1	2+ 3- 19+ 67-	2+ 3-  0  2  0 -6  2 19+
Curve Equation t Generators 7638c1 [1,0,1,-21,-20] 2 [-4:3:1] 7638c2 [1,0,1,69,-128] 2 [2:3:1]
7638d (2 curves)	0	2- 3+ 19+ 67+	2- 3+  2  2  2  6  6 19+
Curve Equation t 7638d1 [1,1,1,-83302,5761379] 2 7638d2 [1,1,1,-1189222,498559331] 2
7638e (2 curves)	0	2- 3+ 19+ 67+	2- 3+  2 -2 -4 -4 -2 19+
Curve Equation t 7638e1 [1,1,1,-185657,-3151609] 2 7638e2 [1,1,1,738503,-24222457] 2
7638f (1 curve)	1	2- 3+ 19+ 67-	2- 3+ -1  3 -2  0 -6 19+
Curve Equation t Generators 7638f1 [1,1,1,379,6155] 1 [-1:76:1]
7638g (4 curves)	1	2- 3+ 19+ 67-	2- 3+  2  0  4 -6 -6 19+
Curve Equation t Generators 7638g1 [1,1,1,-431807,109035173] 4 [-589:12922:1] 7638g2 [1,1,1,-432127,108865061] 4 [4110:36131:8] 7638g3 [1,1,1,-616807,6552341] 2 [824790:7317163:1000] 7638g4 [1,1,1,-252567,200297013] 2 [59514:2630705:216]
7638h (1 curve)	0	2- 3+ 19- 67-	2- 3+  3 -1  6  0  2 19-
Curve Equation t 7638h1 [1,1,1,26,-217] 1
7638i (2 curves)	1	2- 3- 19+ 67+	2- 3-  0 -2  0 -6  2 19+
Curve Equation t Generators 7638i1 [1,0,0,-228,1296] 2 [0:36:1] 7638i2 [1,0,0,-68,3120] 2 [-2:58:1]

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

Part of Computational Number Theory
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