Cremona's table of elliptic curves

78351 = 3 · 7² · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
78351a (1 curve)	1	3+ 7+ 13+ 41+	0 3+  0 7+ -1 13+ -2  4
Curve Equation t Generators 78351a1 [0,-1,1,-484773,118891730] 1 [1556:55941:1]
78351b (1 curve)	1	3+ 7+ 13+ 41+	-1 3+ -1 7+  4 13+ -5  1
Curve Equation t Generators 78351b1 [1,1,1,-2451,45912] 1 [20:63:1]
78351c (1 curve)	1	3+ 7+ 13+ 41+	2 3+ -4 7+ -5 13+  4  4
Curve Equation t Generators 78351c1 [0,-1,1,-854870,-303941863] 1 [9770:173799:8]
78351d (1 curve)	0	3+ 7- 13+ 41+	-1 3+  3 7- -3 13+  3  6
Curve Equation t 78351d1 [1,1,1,-17494,-715156] 1
78351e (1 curve)	1	3+ 7- 13+ 41-	0 3+ -2 7- -3 13+ -3  8
Curve Equation t Generators 78351e1 [0,-1,1,-2809,76971] 1 [-9:318:1]
78351f (1 curve)	1	3+ 7- 13+ 41-	2 3+ -3 7- -2 13+ -4 -7
Curve Equation t Generators 78351f1 [0,-1,1,-1547632,792229395] 1 [2042:162725:8]
78351g (1 curve)	0	3+ 7- 13- 41-	-1 3+  1 7-  0 13- -3  5
Curve Equation t 78351g1 [1,1,1,120770,3427514] 1
78351h (2 curves)	0	3+ 7- 13- 41-	-1 3+ -2 7-  6 13- -6 -4
Curve Equation t 78351h1 [1,1,1,-344,-11320] 2 78351h2 [1,1,1,-9899,-382054] 2
78351i (1 curve)	2	3+ 7- 13- 41-	-2 3+ -2 7- -3 13-  0  8
Curve Equation t Generators 78351i1 [0,-1,1,-44,104] 1 [-7:4:1]&[2:4:1]
78351j (1 curve)	0	3- 7+ 13+ 41+	-1 3- -1 7+  0 13+  3 -5
Curve Equation t 78351j1 [1,0,0,5917729,-1157884176] 1
78351k (1 curve)	2	3- 7+ 13+ 41+	-2 3-  2 7+ -3 13+  0 -8
Curve Equation t Generators 78351k1 [0,1,1,-2172,-31426] 1 [-36:37:1]&[-33:73:1]
78351l (1 curve)	1	3- 7- 13+ 41+	1 3-  1 7-  1 13+  1  0
Curve Equation t Generators 78351l1 [1,0,1,-15608,-173365] 1 [165:1240:1]
78351m (1 curve)	0	3- 7- 13+ 41-	0 3- -1 7-  2 13+ -4 -1
Curve Equation t 78351m1 [0,1,1,2359089,-3610503718] 1
78351n (1 curve)	0	3- 7- 13+ 41-	1 3-  1 7-  1 13+  1 -6
Curve Equation t 78351n1 [1,0,1,-145213,19158605] 1
78351o (1 curve)	0	3- 7- 13+ 41-	-2 3-  4 7- -5 13+  7  0
Curve Equation t 78351o1 [0,1,1,-465879766,3870271763698] 1
78351p (1 curve)	1	3- 7- 13- 41-	0 3-  0 7- -1 13-  2 -4
Curve Equation t Generators 78351p1 [0,1,1,-9893,-349450] 1 [130:760:1]
78351q (1 curve)	1	3- 7- 13- 41-	-1 3-  1 7-  4 13-  5 -1
Curve Equation t Generators 78351q1 [1,0,0,-50,-141] 1 [5949:-550:729]
78351r (4 curves)	1	3- 7- 13- 41-	-1 3- -2 7-  4 13-  2 -4
Curve Equation t Generators 78351r1 [1,0,0,-17407104,-31815408465] 4 [6566991:16825377126:1] 78351r2 [1,0,0,-289065309,-1891641811536] 4 [6779205930:113378538603:343000] 78351r3 [1,0,0,-299642694,-1745752171185] 2 [1808749671004002510:-31872048936106665831:91185763501000] 78351r4 [1,0,0,-4625019204,-121065334615611] 2 [179091599218776510:-459012420636536781279:27270901000]
78351s (1 curve)	1	3- 7- 13- 41-	-1 3-  3 7- -1 13- -3 -4
Curve Equation t Generators 78351s1 [1,0,0,-344,2337] 1 [39:201:1]
78351t (1 curve)	1	3- 7- 13- 41-	2 3-  0 7- -1 13-  3 -4
Curve Equation t Generators 78351t1 [0,1,1,13312,-585469] 1 [506:5729:8]
78351u (1 curve)	1	3- 7- 13- 41-	2 3-  1 7-  4 13-  2 -7
Curve Equation t Generators 78351u1 [0,1,1,2140,-3271453] 1 [1850:24839:8]
78351v (1 curve)	1	3- 7- 13- 41-	2 3-  4 7- -5 13- -4 -4
Curve Equation t Generators 78351v1 [0,1,1,-17446,881143] 1 [634:401:8]

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