Cremona's table of elliptic curves

1785 = 3 · 5 · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
1785a (2 curves)	0	3+ 5+ 7+ 17-	1 3+ 5+ 7+ -4 -4 17-  6
Curve Equation t 1785a1 [1,1,0,77,-392] 2 1785a2 [1,1,0,-598,-4847] 2
1785b (4 curves)	0	3+ 5+ 7- 17+	1 3+ 5+ 7- -4  2 17+ -4
Curve Equation t 1785b1 [1,1,0,32,-77] 2 1785b2 [1,1,0,-213,-1008] 4 1785b3 [1,1,0,-3188,-70623] 2 1785b4 [1,1,0,-1158,13923] 2
1785c (4 curves)	0	3+ 5+ 7- 17+	-1 3+ 5+ 7-  0 -2 17+  0
Curve Equation t 1785c1 [1,1,1,-181,-2206] 2 1785c2 [1,1,1,-3826,-92602] 4 1785c3 [1,1,1,-61201,-5853052] 2 1785c4 [1,1,1,-4771,-44596] 2
1785d (1 curve)	1	3+ 5+ 7- 17-	0 3+ 5+ 7-  2 -5 17-  2
Curve Equation t Generators 1785d1 [0,-1,1,-4759851,3999274382] 1 [1488:14458:1]
1785e (2 curves)	0	3+ 5- 7+ 17+	1 3+ 5- 7+  0  0 17+  2
Curve Equation t 1785e1 [1,1,0,-2,-9] 2 1785e2 [1,1,0,-77,-294] 2
1785f (1 curve)	1	3+ 5- 7+ 17-	0 3+ 5- 7+ -2  3 17- -2
Curve Equation t Generators 1785f1 [0,-1,1,-35,131] 1 [5:7:1]
1785g (4 curves)	0	3+ 5- 7- 17-	1 3+ 5- 7-  4 -2 17-  0
Curve Equation t 1785g1 [1,1,0,-37,-104] 2 1785g2 [1,1,0,-42,-81] 4 1785g3 [1,1,0,-297,1806] 4 1785g4 [1,1,0,133,-396] 2
1785h (4 curves)	0	3+ 5- 7- 17-	-1 3+ 5- 7-  4  2 17-  8
Curve Equation t 1785h1 [1,1,1,-335,-2500] 2 1785h2 [1,1,1,-340,-2428] 4 1785h3 [1,1,1,-1015,9182] 4 1785h4 [1,1,1,255,-9330] 2
1785i (4 curves)	0	3- 5+ 7+ 17+	1 3- 5+ 7+  0  6 17+  4
Curve Equation t 1785i1 [1,0,1,41,-1123] 2 1785i2 [1,0,1,-1404,-19619] 4 1785i3 [1,0,1,-22229,-1277449] 2 1785i4 [1,0,1,-3699,60247] 2
1785j (4 curves)	1	3- 5+ 7- 17+	1 3- 5+ 7-  0 -2 17+ -4
Curve Equation t Generators 1785j1 [1,0,1,286,287] 2 [165:1192:27] 1785j2 [1,0,1,-1159,2021] 4 [49:227:1] 1785j3 [1,0,1,-11784,-490979] 2 [-61:72:1] 1785j4 [1,0,1,-13654,611777] 2 [630:983:8]
1785k (4 curves)	1	3- 5+ 7- 17+	-1 3- 5+ 7-  0 -6 17+  4
Curve Equation t Generators 1785k1 [1,0,0,14,35] 2 [-1:5:1] 1785k2 [1,0,0,-111,360] 4 [-9:30:1] 1785k3 [1,0,0,-536,-4485] 2 [-11:16:1] 1785k4 [1,0,0,-1686,26505] 2 [24:-9:1]
1785l (2 curves)	0	3- 5+ 7- 17-	0 3- 5+ 7- -6 -1 17-  2
Curve Equation t 1785l1 [0,1,1,-141,-889] 3 1785l2 [0,1,1,-12381,-534400] 1
1785m (6 curves)	0	3- 5- 7+ 17-	-1 3- 5- 7+  4  6 17- -4
Curve Equation t 1785m1 [1,0,0,35,200] 4 1785m2 [1,0,0,-370,2387] 8 1785m3 [1,0,0,-1495,-19888] 4 1785m4 [1,0,0,-5725,166250] 4 1785m5 [1,0,0,-23170,-1359403] 2 1785m6 [1,0,0,2180,-101473] 2
1785n (2 curves)	0	3- 5- 7- 17+	1 3- 5- 7-  0  4 17+  2
Curve Equation t 1785n1 [1,0,1,115937,-38571787] 2 1785n2 [1,0,1,-1250938,-477065287] 2
1785o (6 curves)	1	3- 5- 7- 17-	-1 3- 5- 7- -4 -2 17- -4
Curve Equation t Generators 1785o1 [1,0,0,-3905,93600] 4 [45:75:1] 1785o2 [1,0,0,-3910,93347] 8 [-46:443:1] 1785o3 [1,0,0,-6115,-24400] 4 [-55:410:1] 1785o4 [1,0,0,-1785,194922] 8 [-63:273:1] 1785o5 [1,0,0,-71740,-7387525] 2 [490:8425:1] 1785o6 [1,0,0,24230,-188263] 2 [64:1243:1]

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