Cremona's table of elliptic curves

6768 = 2⁴ · 3² · 47

Class	r	Atkin-Lehner	Eigenvalues
6768a (2 curves)	0	2+ 3- 47+	2+ 3-  0  4 -4  2 -2  2
Curve Equation t 6768a1 [0,0,0,105,-106] 2 6768a2 [0,0,0,-435,-862] 2
6768b (1 curve)	0	2+ 3- 47+	2+ 3- -1 -3  1 -2 -2 -2
Curve Equation t 6768b1 [0,0,0,-8868,-304004] 1
6768c (1 curve)	0	2+ 3- 47+	2+ 3-  3  1  5 -4  4  2
Curve Equation t 6768c1 [0,0,0,-41196,3217772] 1
6768d (1 curve)	1	2+ 3- 47-	2+ 3-  1  1 -1 -4  4  6
Curve Equation t Generators 6768d1 [0,0,0,-732,7292] 1 [1:81:1]
6768e (2 curves)	1	2+ 3- 47-	2+ 3-  2  0 -2  4 -2 -8
Curve Equation t Generators 6768e1 [0,0,0,-3940059,3832955098] 2 [1109:28764:1] 6768e2 [0,0,0,-67712979,214449400690] 2 [-8865:343570:1]
6768f (2 curves)	1	2+ 3- 47-	2+ 3- -2  0 -6  0  6  4
Curve Equation t Generators 6768f1 [0,0,0,69,826] 2 [5:36:1] 6768f2 [0,0,0,-1011,11410] 2 [-33:94:1]
6768g (1 curve)	1	2+ 3- 47-	2+ 3- -3  5  3 -6 -2  2
Curve Equation t Generators 6768g1 [0,0,0,-84,-164] 1 [-7:9:1]
6768h (1 curve)	0	2- 3+ 47+	2- 3+  3 -1  3  0  0  4
Curve Equation t 6768h1 [0,0,0,-1296,17712] 1
6768i (1 curve)	2	2- 3+ 47+	2- 3+ -3 -3 -1 -4 -4 -4
Curve Equation t Generators 6768i1 [0,0,0,-24,-36] 1 [-3:3:1]&[-2:2:1]
6768j (1 curve)	1	2- 3+ 47-	2- 3+  3 -3  1 -4  4 -4
Curve Equation t Generators 6768j1 [0,0,0,-216,972] 1 [18:54:1]
6768k (1 curve)	1	2- 3+ 47-	2- 3+ -3 -1 -3  0  0  4
Curve Equation t Generators 6768k1 [0,0,0,-144,-656] 1 [-7:3:1]
6768l (2 curves)	1	2- 3- 47+	2- 3-  0  0  2 -4  2  2
Curve Equation t Generators 6768l1 [0,0,0,45,-1134] 2 [15:54:1] 6768l2 [0,0,0,-1395,-19278] 2 [63:378:1]
6768m (1 curve)	1	2- 3- 47+	2- 3-  1  3  1 -2 -2 -6
Curve Equation t Generators 6768m1 [0,0,0,-3792,-89872] 1 [-286:9:8]
6768n (1 curve)	1	2- 3- 47+	2- 3-  1  3 -3 -4 -8  6
Curve Equation t Generators 6768n1 [0,0,0,-192,-272] 1 [-7:27:1]
6768o (4 curves)	1	2- 3- 47+	2- 3- -2  0  0  2 -2  0
Curve Equation t Generators 6768o1 [0,0,0,8349,-146846] 2 [167:2430:1] 6768o2 [0,0,0,-37731,-1243550] 4 [5009:354240:1] 6768o3 [0,0,0,-504291,-137759006] 2 [628555:44100666:125] 6768o4 [0,0,0,-308451,65082850] 2 [353:432:1]
6768p (4 curves)	1	2- 3- 47+	2- 3- -2  0  4 -2 -2  0
Curve Equation t Generators 6768p1 [0,0,0,-291,5474] 2 [1:72:1] 6768p2 [0,0,0,-6771,214130] 4 [-1:470:1] 6768p3 [0,0,0,-8931,65954] 2 [127:990:1] 6768p4 [0,0,0,-108291,13716290] 4 [215:610:1]
6768q (2 curves)	1	2- 3- 47+	2- 3-  3  1 -3 -4  0 -2
Curve Equation t Generators 6768q1 [0,0,0,-336,2252] 1 [-2:54:1] 6768q2 [0,0,0,-4656,-121732] 1 [-38:18:1]
6768r (2 curves)	0	2- 3- 47-	2- 3-  0 -4  0  6  6 -2
Curve Equation t 6768r1 [0,0,0,-1155,-21566] 2 6768r2 [0,0,0,-20595,-1137422] 2
6768s (1 curve)	0	2- 3- 47-	2- 3-  1  1  3 -2  6  6
Curve Equation t 6768s1 [0,0,0,-1992,-34148] 1
6768t (1 curve)	0	2- 3- 47-	2- 3-  3  3 -5  2  6  6
Curve Equation t 6768t1 [0,0,0,-1776,10928] 1
6768u (2 curves)	0	2- 3- 47-	2- 3-  4  4  0 -2  6 -6
Curve Equation t 6768u1 [0,0,0,-2163,47410] 2 6768u2 [0,0,0,-36723,2708530] 2

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