Cremona's table of elliptic curves

7742 = 2 · 7² · 79

Class	r	Atkin-Lehner	Eigenvalues
7742a (1 curve)	1	2+ 7+ 79+	2+  0 -2 7+  5 -2 -4  8
Curve Equation t Generators 7742a1 [1,-1,0,-9368,-293056] 1 [-61:251:1]
7742b (1 curve)	0	2+ 7- 79+	2+  0  2 7-  5  2  4 -8
Curve Equation t 7742b1 [1,-1,0,-191,909] 1
7742c (1 curve)	0	2+ 7- 79+	2+  1  1 7-  4  7  4  6
Curve Equation t 7742c1 [1,0,1,-173,-836] 1
7742d (2 curves)	1	2+ 7- 79-	2+  0  0 7-  0  0  2  2
Curve Equation t Generators 7742d1 [1,-1,0,-1087,6285] 2 [-33:90:1] 7742d2 [1,-1,0,-8927,-318291] 2 [1185:40053:1]
7742e (2 curves)	1	2+ 7- 79-	2+  0  2 7-  0 -2  4 -6
Curve Equation t Generators 7742e1 [1,-1,0,-4811,161909] 2 [170:1973:1] 7742e2 [1,-1,0,-82231,9096177] 2 [149:293:1]
7742f (2 curves)	1	2+ 7- 79-	2+  0 -4 7-  0  4 -2 -6
Curve Equation t Generators 7742f1 [1,-1,0,-27694,-1766976] 2 [242:2258:1] 7742f2 [1,-1,0,-28184,-1700826] 2 [-103:370:1]
7742g (3 curves)	1	2+ 7- 79-	2+ -1 -3 7-  0 -5  0 -2
Curve Equation t Generators 7742g1 [1,1,0,-2279,-42839] 1 [-28:15:1] 7742g2 [1,1,0,-3994,27476] 1 [-20:326:1] 7742g3 [1,1,0,-255609,49634341] 1 [274:375:1]
7742h (1 curve)	1	2+ 7- 79-	2+ -3  2 7- -3 -5 -5  0
Curve Equation t Generators 7742h1 [1,-1,0,-6526,-235628] 1 [121:797:1]
7742i (1 curve)	0	2- 7+ 79+	2-  0  4 7+ -1 -2  2 -4
Curve Equation t 7742i1 [1,-1,1,-663298,-207761151] 1
7742j (4 curves)	1	2- 7- 79+	2-  0  2 7- -4  2 -2  4
Curve Equation t Generators 7742j1 [1,-1,1,2906,-26827] 2 [41:379:1] 7742j2 [1,-1,1,-12774,-214987] 4 [139:755:1] 7742j3 [1,-1,1,-167614,-26351979] 2 [50205:2081659:27] 7742j4 [1,-1,1,-108814,13691605] 2 [-5:3775:1]
7742k (1 curve)	1	2- 7- 79+	2-  0 -4 7- -1  2 -2  4
Curve Equation t Generators 7742k1 [1,-1,1,-13537,609585] 1 [67:-28:1]
7742l (2 curves)	1	2- 7- 79+	2-  1 -1 7-  2  1  2  0
Curve Equation t Generators 7742l1 [1,0,0,-20581,-1128191] 1 [-78:103:1] 7742l2 [1,0,0,-1145621,471855089] 1 [608:103:1]
7742m (2 curves)	1	2- 7- 79+	2- -2  2 7- -4 -2  2  0
Curve Equation t Generators 7742m1 [1,0,0,48,-260] 2 [132:1454:1] 7742m2 [1,0,0,-442,-3102] 2 [-122:159:8]
7742n (1 curve)	0	2- 7- 79-	2-  3  3 7- -2  5 -6  0
Curve Equation t 7742n1 [1,-1,1,-426,-2327] 1

Data from Elliptic Curve Data by J. E. Cremona.
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