Cremona's table of elliptic curves

86768 = 2⁴ · 11 · 17 · 29

Class	r	Atkin-Lehner	Eigenvalues
86768a (1 curve)	0	2+ 11+ 17- 29+	2+  2 -2  1 11+ -1 17-  3
Curve Equation t 86768a1 [0,-1,0,-35024,-2627152] 1
86768b (1 curve)	2	2+ 11- 17+ 29+	2+  1  1  0 11- -6 17+ -5
Curve Equation t Generators 86768b1 [0,1,0,-560,4916] 1 [-1:74:1]&[14:4:1]
86768c (1 curve)	0	2+ 11- 17+ 29+	2+  1  3  2 11-  6 17+ -2
Curve Equation t 86768c1 [0,1,0,42911,2807563] 1
86768d (1 curve)	1	2+ 11- 17- 29+	2+ -2  2  1 11- -1 17- -1
Curve Equation t Generators 86768d1 [0,1,0,-272,-11132] 1 [27:44:1]
86768e (2 curves)	0	2+ 11- 17- 29-	2+  0  2 -2 11- -4 17-  4
Curve Equation t 86768e1 [0,0,0,61,-430] 2 86768e2 [0,0,0,-619,-5190] 2
86768f (1 curve)	0	2- 11+ 17+ 29+	2- -1  1  0 11+ -2 17+ -1
Curve Equation t 86768f1 [0,-1,0,-38400,-1181696] 1
86768g (2 curves)	1	2- 11+ 17+ 29-	2- -1  3  4 11+  2 17+ -5
Curve Equation t Generators 86768g1 [0,-1,0,-104864,13002496] 1 [165:406:1] 86768g2 [0,-1,0,-8475424,9499909376] 1 [26267725:16198:15625]
86768h (1 curve)	1	2- 11+ 17- 29+	2-  2 -2  3 11+ -5 17-  5
Curve Equation t Generators 86768h1 [0,-1,0,-48144,-4366912] 1 [1202:40902:1]
86768i (1 curve)	2	2- 11+ 17- 29-	2- -3 -1 -4 11+ -2 17- -5
Curve Equation t Generators 86768i1 [0,0,0,-163,-734] 1 [-9:2:1]&[-7:8:1]
86768j (2 curves)	0	2- 11- 17+ 29-	2-  0  2 -2 11- -2 17+  2
Curve Equation t 86768j1 [0,0,0,-124,123] 2 86768j2 [0,0,0,481,970] 2
86768k (1 curve)	0	2- 11- 17+ 29-	2-  1  3  4 11-  6 17+  3
Curve Equation t 86768k1 [0,1,0,-25344,1520948] 1
86768l (1 curve)	2	2- 11- 17+ 29-	2- -2  0  3 11- -3 17+ -5
Curve Equation t Generators 86768l1 [0,1,0,912,13012] 1 [-12:22:1]&[-1:110:1]
86768m (1 curve)	0	2- 11- 17+ 29-	2- -3 -1  4 11- -2 17+ -1
Curve Equation t 86768m1 [0,0,0,-133963,18872314] 1
86768n (1 curve)	2	2- 11- 17- 29+	2-  0  0 -3 11- -7 17-  7
Curve Equation t Generators 86768n1 [0,0,0,-1235,16722] 1 [-1:134:1]&[23:22:1]

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