Cremona's table of elliptic curves

722 = 2 · 19²

Class	r	Atkin-Lehner	Eigenvalues
722a (2 curves)	1	2+ 19+	2+  1  0 -4  3  2 -6 19+
Curve Equation t Generators 722a1 [1,0,1,714,-16080] 3 [356772:4423160:2197] 722a2 [1,0,1,-33581,-2375576] 1 [1474:55398:1]
722b (1 curve)	1	2+ 19+	2+ -3  2 -3 -2  3 -1 19+
Curve Equation t Generators 722b1 [1,-1,0,-1,-11] 1 [5:7:1]
722c (2 curves)	0	2+ 19-	2+  1 -4  3  2  1  3 19-
Curve Equation t 722c1 [1,0,1,-8,-8138] 1 722c2 [1,0,1,-25278,1710222] 1
722d (1 curve)	0	2- 19+	2-  3  2 -3 -2 -3 -1 19+
Curve Equation t 722d1 [1,-1,1,-429,77485] 1
722e (3 curves)	1	2- 19-	2- -1  0 -1 -6 -5  3 19-
Curve Equation t Generators 722e1 [1,1,1,-5603,-163815] 1 [93:314:1] 722e2 [1,1,1,3422,-612177] 1 [359:6679:1] 722e3 [1,1,1,-30873,16782247] 1 [3247:183208:1]
722f (2 curves)	1	2- 19-	2- -1  0 -4  3 -2 -6 19-
Curve Equation t Generators 722f1 [1,1,1,2,3] 1 [-1:1:1] 722f2 [1,1,1,-93,307] 1 [7:-12:1]

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

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