Cremona's table of elliptic curves

12768 = 2⁵ · 3 · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
12768a (2 curves)	1	2+ 3+ 7+ 19+	2+ 3+  0 7+ -2  4  0 19+
Curve Equation t Generators 12768a1 [0,-1,0,-78,-240] 2 [23:98:1] 12768a2 [0,-1,0,-113,33] 2 [-8:19:1]
12768b (2 curves)	1	2+ 3+ 7+ 19+	2+ 3+ -2 7+ -2  2  4 19+
Curve Equation t Generators 12768b1 [0,-1,0,-14,0] 2 [-2:4:1] 12768b2 [0,-1,0,56,-56] 2 [5:18:1]
12768c (2 curves)	0	2+ 3+ 7+ 19-	2+ 3+  0 7+  4  4 -2 19-
Curve Equation t 12768c1 [0,-1,0,-5258,-61224] 2 12768c2 [0,-1,0,18752,-483800] 2
12768d (2 curves)	0	2+ 3+ 7+ 19-	2+ 3+  4 7+  2  2  8 19-
Curve Equation t 12768d1 [0,-1,0,-12398526,21748738788] 2 12768d2 [0,-1,0,-214166561,1206328872273] 2
12768e (2 curves)	0	2+ 3+ 7- 19+	2+ 3+  4 7-  4  4 -6 19+
Curve Equation t 12768e1 [0,-1,0,-1506,22968] 2 12768e2 [0,-1,0,-1016,37668] 2
12768f (2 curves)	1	2+ 3+ 7- 19-	2+ 3+  0 7-  0 -4  2 19-
Curve Equation t Generators 12768f1 [0,-1,0,-138,504] 2 [-10:28:1] 12768f2 [0,-1,0,352,2856] 2 [-3:42:1]
12768g (4 curves)	1	2+ 3+ 7- 19-	2+ 3+ -2 7-  4  2  2 19-
Curve Equation t Generators 12768g1 [0,-1,0,-134,624] 4 [14:36:1] 12768g2 [0,-1,0,-344,-1560] 2 [21:6:1] 12768g3 [0,-1,0,-2129,38529] 2 [234:165:8] 12768g4 [0,-1,0,56,2068] 2 [-4:42:1]
12768h (4 curves)	0	2+ 3- 7+ 19+	2+ 3- -2 7+ -4  2  2 19+
Curve Equation t 12768h1 [0,1,0,-134,-624] 4 12768h2 [0,1,0,-2129,-38529] 2 12768h3 [0,1,0,-344,1560] 2 12768h4 [0,1,0,56,-2068] 2
12768i (2 curves)	0	2+ 3- 7- 19-	2+ 3-  0 7-  2  4  0 19-
Curve Equation t 12768i1 [0,1,0,-78,240] 2 12768i2 [0,1,0,-113,-33] 2
12768j (2 curves)	0	2+ 3- 7- 19-	2+ 3- -2 7-  2  2  4 19-
Curve Equation t 12768j1 [0,1,0,-14,0] 2 12768j2 [0,1,0,56,56] 2
12768k (2 curves)	0	2+ 3- 7- 19-	2+ 3-  4 7-  2  6  0 19-
Curve Equation t 12768k1 [0,1,0,-806,-10428] 2 12768k2 [0,1,0,-13441,-604273] 2
12768l (2 curves)	0	2- 3+ 7+ 19+	2- 3+  4 7+ -2  6  0 19+
Curve Equation t 12768l1 [0,-1,0,-806,10428] 2 12768l2 [0,-1,0,-13441,604273] 2
12768m (4 curves)	1	2- 3+ 7+ 19-	2- 3+  2 7+  0 -6  2 19-
Curve Equation t Generators 12768m1 [0,-1,0,-175462,-28222040] 4 [202055:90824370:1] 12768m2 [0,-1,0,-2807152,-1809349832] 2 [220793807291:99244955707170:1092727] 12768m3 [0,-1,0,-200977,-19449983] 4 [-6009:101764:27] 12768m4 [0,-1,0,-150192,-36662220] 2 [2574960531262110:-6377196313516509:5368567751000]
12768n (4 curves)	1	2- 3+ 7- 19+	2- 3+  2 7-  0 -2 -6 19+
Curve Equation t Generators 12768n1 [0,-1,0,-39102,2989080] 4 [122:140:1] 12768n2 [0,-1,0,-40817,2714337] 2 [-67:2268:1] 12768n3 [0,-1,0,-625632,190678680] 2 [3706:1855:8] 12768n4 [0,-1,0,-37392,3260628] 4 [-164:2226:1]
12768o (2 curves)	0	2- 3+ 7- 19-	2- 3+  0 7- -2  4  8 19-
Curve Equation t 12768o1 [0,-1,0,-6158,-183960] 2 12768o2 [0,-1,0,-6193,-181727] 2
12768p (4 curves)	0	2- 3+ 7- 19-	2- 3+  2 7-  0 -6  2 19-
Curve Equation t 12768p1 [0,-1,0,-41382,-3197880] 4 12768p2 [0,-1,0,-660497,-206391423] 2 12768p3 [0,-1,0,-73872,2559348] 4 12768p4 [0,-1,0,-10512,-7890120] 2
12768q (2 curves)	0	2- 3+ 7- 19-	2- 3+  2 7-  6  6 -4 19-
Curve Equation t 12768q1 [0,-1,0,-13622,615912] 2 12768q2 [0,-1,0,-10192,930100] 2
12768r (2 curves)	0	2- 3+ 7- 19-	2- 3+ -2 7- -2 -6  4 19-
Curve Equation t 12768r1 [0,-1,0,-555574,-159204920] 2 12768r2 [0,-1,0,-555504,-159247116] 2
12768s (2 curves)	2	2- 3+ 7- 19-	2- 3+ -4 7- -6  0 -4 19-
Curve Equation t Generators 12768s1 [0,-1,0,-190,-104] 2 [-6:28:1]&[-4:24:1] 12768s2 [0,-1,0,-1905,32481] 2 [-49:76:1]&[-27:252:1]
12768t (2 curves)	1	2- 3- 7+ 19+	2- 3-  0 7+  0 -4  2 19+
Curve Equation t Generators 12768t1 [0,1,0,-138,-504] 2 [-6:12:1] 12768t2 [0,1,0,352,-2856] 2 [10:42:1]
12768u (2 curves)	1	2- 3- 7+ 19+	2- 3-  0 7+  2  4  8 19+
Curve Equation t Generators 12768u1 [0,1,0,-6158,183960] 2 [46:12:1] 12768u2 [0,1,0,-6193,181727] 2 [23:228:1]
12768v (4 curves)	1	2- 3- 7+ 19+	2- 3-  2 7+  0 -6  2 19+
Curve Equation t Generators 12768v1 [0,1,0,-41382,3197880] 4 [8340:761460:1] 12768v2 [0,1,0,-73872,-2559348] 2 [-239310:1212897:1000] 12768v3 [0,1,0,-660497,206391423] 4 [-881:10260:1] 12768v4 [0,1,0,-10512,7890120] 2 [66714:6092235:8]
12768w (2 curves)	1	2- 3- 7+ 19+	2- 3-  2 7+ -6  6 -4 19+
Curve Equation t Generators 12768w1 [0,1,0,-13622,-615912] 2 [-68:24:1] 12768w2 [0,1,0,-10192,-930100] 2 [275:4140:1]
12768x (2 curves)	1	2- 3- 7+ 19+	2- 3- -2 7+  2 -6  4 19+
Curve Equation t Generators 12768x1 [0,1,0,-555574,159204920] 2 [428:72:1] 12768x2 [0,1,0,-555504,159247116] 2 [435:324:1]
12768y (2 curves)	1	2- 3- 7+ 19+	2- 3- -4 7+  6  0 -4 19+
Curve Equation t Generators 12768y1 [0,1,0,-190,104] 2 [22:84:1] 12768y2 [0,1,0,-1905,-32481] 2 [-25:12:1]
12768z (4 curves)	0	2- 3- 7+ 19-	2- 3-  2 7+  0 -2 -6 19-
Curve Equation t 12768z1 [0,1,0,-39102,-2989080] 4 12768z2 [0,1,0,-625632,-190678680] 2 12768z3 [0,1,0,-40817,-2714337] 4 12768z4 [0,1,0,-37392,-3260628] 2
12768ba (2 curves)	0	2- 3- 7+ 19-	2- 3-  4 7+ -4  4 -6 19-
Curve Equation t 12768ba1 [0,1,0,-1506,-22968] 2 12768ba2 [0,1,0,-1016,-37668] 2
12768bb (2 curves)	0	2- 3- 7- 19+	2- 3-  0 7- -4  4 -2 19+
Curve Equation t 12768bb1 [0,1,0,-5258,61224] 2 12768bb2 [0,1,0,18752,483800] 2
12768bc (4 curves)	0	2- 3- 7- 19+	2- 3-  2 7-  0 -6  2 19+
Curve Equation t 12768bc1 [0,1,0,-175462,28222040] 4 12768bc2 [0,1,0,-200977,19449983] 2 12768bc3 [0,1,0,-2807152,1809349832] 4 12768bc4 [0,1,0,-150192,36662220] 2
12768bd (2 curves)	0	2- 3- 7- 19+	2- 3-  4 7- -2  2  8 19+
Curve Equation t 12768bd1 [0,1,0,-12398526,-21748738788] 2 12768bd2 [0,1,0,-214166561,-1206328872273] 2

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