Cremona's table of elliptic curves

76893 = 3 · 19² · 71

Class	r	Atkin-Lehner	Eigenvalues
76893a (2 curves)	0	3+ 19- 71+	-1 3+  2 -4  2  0  0 19-
Curve Equation t 76893a1 [1,1,1,-61197,5973546] 2 76893a2 [1,1,1,-987162,377100318] 2
76893b (1 curve)	2	3+ 19- 71+	-1 3+ -2 -3  0  1  0 19-
Curve Equation t Generators 76893b1 [1,1,1,-74,1010] 1 [-10:34:1]&[-4:37:1]
76893c (2 curves)	1	3+ 19- 71-	0 3+  0  2 -3  4  3 19-
Curve Equation t Generators 76893c1 [0,-1,1,-63,-169] 1 [-38:3:8] 76893c2 [0,-1,1,-633,6272] 1 [-28:35:1]
76893d (4 curves)	1	3+ 19- 71-	1 3+ -2 -4  4 -6  6 19-
Curve Equation t Generators 76893d1 [1,1,0,105044,36260995] 2 [189718:29124481:8] 76893d2 [1,1,0,-1210801,458647240] 4 [749770680:6364140223:1728000] 76893d3 [1,1,0,-4670986,-3400843109] 2 [-50805085952222520:599168421093782567:34391539008000] 76893d4 [1,1,0,-18804136,31377174169] 2 [499722:3252569:216]
76893e (2 curves)	1	3+ 19- 71-	-1 3+  2  2  0  2  0 19-
Curve Equation t Generators 76893e1 [1,1,1,173,-8224] 2 [1233:42703:1] 76893e2 [1,1,1,-5242,-142516] 2 [631752:21847463:512]
76893f (2 curves)	0	3- 19+ 71+	0 3-  0  2 -3 -4  3 19+
Curve Equation t 76893f1 [0,1,1,-22863,1294382] 3 76893f2 [0,1,1,-228633,-41649817] 1
76893g (1 curve)	1	3- 19+ 71-	1 3- -2 -3  0 -1  0 19+
Curve Equation t Generators 76893g1 [1,0,1,-26722,-7142581] 1 [391:6302:1]

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

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