Cremona's table of elliptic curves

115785 = 3² · 5 · 31 · 83

Class	r	Atkin-Lehner	Eigenvalues
115785a (2 curves)	1	3+ 5+ 31- 83-	-1 3+ 5+ -4  2  4 -6 -8
Curve Equation t Generators 115785a1 [1,-1,1,217,686] 2 [-2:16:1] 115785a2 [1,-1,1,-1028,6662] 2 [-32:93:1]
115785b (1 curve)	1	3+ 5+ 31- 83-	2 3+ 5+  2 -1  4  6 -2
Curve Equation t Generators 115785b1 [0,0,1,-246033,-46971987] 1 [12349226702600105116707499472790498748569212:229643680404268282476767109321199060926574135:16368372873882189833838084627772659940288]
115785c (2 curves)	1	3+ 5- 31- 83+	1 3+ 5- -4 -2  4  6 -8
Curve Equation t Generators 115785c1 [1,-1,0,1956,-20485] 2 [12558:265529:27] 115785c2 [1,-1,0,-9249,-170632] 2 [1864:79420:1]
115785d (1 curve)	1	3+ 5- 31- 83+	-2 3+ 5-  2  1  4 -6 -2
Curve Equation t Generators 115785d1 [0,0,1,-2214297,1268243642] 1 [957:5062:1]
115785e (1 curve)	0	3- 5+ 31+ 83+	-2 3- 5+  2 -5  2  0  8
Curve Equation t 115785e1 [0,0,1,25827,-2111472] 1
115785f (1 curve)	1	3- 5+ 31+ 83-	2 3- 5+  1 -4  1 -2  0
Curve Equation t Generators 115785f1 [0,0,1,-2073,-35991] 1 [-222:99:8]
115785g (2 curves)	1	3- 5+ 31- 83+	-1 3- 5+  4  4 -4  4 -2
Curve Equation t Generators 115785g1 [1,-1,1,-29273,-1920328] 2 [13572:1574167:1] 115785g2 [1,-1,1,-30668,-1726144] 2 [-132:160:1]
115785h (6 curves)	0	3- 5+ 31- 83-	1 3- 5+  0 -4 -2 -2  4
Curve Equation t 115785h1 [1,-1,0,-3500055,868374976] 2 115785h2 [1,-1,0,-45058500,116326046875] 4 115785h3 [1,-1,0,-34290495,173334018946] 2 115785h4 [1,-1,0,-720761625,7448110375000] 4 115785h5 [1,-1,0,-720587250,7451894207875] 2 115785h6 [1,-1,0,-11532186000,476670415104625] 2
115785i (4 curves)	0	3- 5+ 31- 83-	1 3- 5+  4 -4 -2 -6  8
Curve Equation t 115785i1 [1,-1,0,3420,-216405] 2 115785i2 [1,-1,0,-39825,-2733264] 4 115785i3 [1,-1,0,-152820,20114325] 2 115785i4 [1,-1,0,-618750,-187178769] 2
115785j (1 curve)	0	3- 5+ 31- 83-	2 3- 5+ -1  2 -5  0 -8
Curve Equation t 115785j1 [0,0,1,-13143,-527877] 1
115785k (1 curve)	1	3- 5- 31+ 83+	-2 3- 5-  2  3 -2  4 -4
Curve Equation t Generators 115785k1 [0,0,1,-327,2290] 1 [10:-5:1]
115785l (1 curve)	2	3- 5- 31+ 83-	0 3- 5- -3 -2  3 -8  2
Curve Equation t Generators 115785l1 [0,0,1,-47442,-1480118] 1 [-190:821:1]&[-1294:11201:8]
115785m (1 curve)	2	3- 5- 31- 83+	0 3- 5- -5  0 -5 -2 -6
Curve Equation t Generators 115785m1 [0,0,1,-6552,-203965] 1 [-47:12:1]&[-366:41:8]
115785n (1 curve)	1	3- 5- 31- 83-	0 3- 5- -1  4  1  6 -6
Curve Equation t Generators 115785n1 [0,0,1,-129882,-18016313] 1 [427:2092:1]

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