Cremona's table of elliptic curves

85305 = 3 · 5 · 11² · 47

Class	r	Atkin-Lehner	Eigenvalues
85305a (1 curve)	0	3+ 5+ 11- 47+	0 3+ 5+ -2 11- -1  2  6
Curve Equation t 85305a1 [0,-1,1,-699541,-231274539] 1
85305b (1 curve)	2	3+ 5+ 11- 47+	-1 3+ 5+ -3 11- -5  2  6
Curve Equation t Generators 85305b1 [1,1,1,-426,21924] 1 [28:167:1]&[-26:140:1]
85305c (4 curves)	1	3+ 5+ 11- 47-	1 3+ 5+  0 11- -2 -2 -4
Curve Equation t Generators 85305c1 [1,1,0,2902,-17673] 2 [26670:389217:125] 85305c2 [1,1,0,-12223,-159848] 4 [868:24946:1] 85305c3 [1,1,0,-112048,14274847] 2 [138:1141:1] 85305c4 [1,1,0,-154398,-23391243] 2 [57972:1513659:64]
85305d (1 curve)	1	3+ 5+ 11- 47-	1 3+ 5+  2 11- -3  2 -4
Curve Equation t Generators 85305d1 [1,1,0,-4963,163948] 1 [158:2099:8]
85305e (2 curves)	1	3+ 5+ 11- 47-	1 3+ 5+  2 11-  6 -6 -2
Curve Equation t Generators 85305e1 [1,1,0,-346183,70523512] 2 [1567673600664:-21694136855128:2761677827] 85305e2 [1,1,0,459072,350913303] 2 [9150854:4358472823:226981]
85305f (1 curve)	1	3+ 5+ 11- 47-	-1 3+ 5+ -2 11-  3 -2  4
Curve Equation t Generators 85305f1 [1,1,1,-41,-142] 1 [9:13:1]
85305g (1 curve)	1	3+ 5+ 11- 47-	2 3+ 5+ -5 11- -6 -2  4
Curve Equation t Generators 85305g1 [0,-1,1,6494,649791] 1 [11802:453867:8]
85305h (1 curve)	1	3+ 5- 11+ 47-	0 3+ 5-  1 11+ -2  4  4
Curve Equation t Generators 85305h1 [0,-1,1,1775,-1675224] 1 [583028832:4297214189:4330747]
85305i (1 curve)	1	3+ 5- 11+ 47-	0 3+ 5- -1 11+  2 -4 -4
Curve Equation t Generators 85305i1 [0,-1,1,15,1253] 1 [-7:27:1]
85305j (1 curve)	0	3+ 5- 11- 47-	1 3+ 5-  5 11- -3  3  1
Curve Equation t 85305j1 [1,1,0,-14522,-56350191] 1
85305k (1 curve)	0	3+ 5- 11- 47-	-2 3+ 5- -1 11- -6 -6  4
Curve Equation t 85305k1 [0,-1,1,-1170110,-834756352] 1
85305l (1 curve)	1	3- 5+ 11- 47+	0 3- 5+  1 11-  2  0  3
Curve Equation t Generators 85305l1 [0,1,1,-1371,-23314] 1 [722:19387:1]
85305m (1 curve)	1	3- 5+ 11- 47+	0 3- 5+ -1 11- -2  0 -3
Curve Equation t Generators 85305m1 [0,1,1,-165931,30366925] 1 [-118:45821:8]
85305n (2 curves)	1	3- 5+ 11- 47+	0 3- 5+ -2 11- -5 -6 -2
Curve Equation t Generators 85305n1 [0,1,1,1049,-22709] 1 [29:181:1] 85305n2 [0,1,1,-9841,784240] 1 [-4:907:1]
85305o (1 curve)	1	3- 5+ 11- 47+	0 3- 5+  3 11- -6  2  5
Curve Equation t Generators 85305o1 [0,1,1,-15033201,22432900430] 1 [2034:16567:1]
85305p (1 curve)	1	3- 5+ 11- 47+	0 3- 5+ -3 11-  6 -2 -5
Curve Equation t Generators 85305p1 [0,1,1,-124241,-16899349] 1 [2827:149107:1]
85305q (2 curves)	1	3- 5+ 11- 47+	0 3- 5+  4 11-  1  0 -8
Curve Equation t Generators 85305q1 [0,1,1,-10721,-430864] 1 [280:4312:1] 85305q2 [0,1,1,-6761,-748555] 1 [400628957:6264939989:1442897]
85305r (2 curves)	1	3- 5+ 11- 47+	0 3- 5+ -4 11- -1  0  8
Curve Equation t Generators 85305r1 [0,1,1,-1297281,568290575] 3 [417:10000:1] 85305r2 [0,1,1,-818121,993053936] 1 [377575980:13361148547:438976]
85305s (2 curves)	1	3- 5+ 11- 47+	1 3- 5+ -2 11- -6  2  2
Curve Equation t Generators 85305s1 [1,0,1,-1334,-1333] 2 [6355:28116:125] 85305s2 [1,0,1,5321,-9319] 2 [33:433:1]
85305t (1 curve)	1	3- 5+ 11- 47+	1 3- 5+  4 11-  0 -4 -1
Curve Equation t Generators 85305t1 [1,0,1,-5019,-548033] 1 [7604:43041:64]
85305u (1 curve)	1	3- 5+ 11- 47+	-1 3- 5+ -4 11-  0  4  1
Curve Equation t Generators 85305u1 [1,0,0,-607241,728824350] 1 [-722:28486:1]
85305v (1 curve)	0	3- 5+ 11- 47-	0 3- 5+  2 11- -3  0 -2
Curve Equation t 85305v1 [0,1,1,-2729921,2305597685] 1
85305w (1 curve)	0	3- 5+ 11- 47-	1 3- 5+ -1 11-  7 -1  1
Curve Equation t 85305w1 [1,0,1,-4359,-112169] 1
85305x (1 curve)	0	3- 5+ 11- 47-	-1 3- 5+  3 11-  1 -3  3
Curve Equation t 85305x1 [1,0,0,784,-879] 1
85305y (1 curve)	0	3- 5- 11- 47+	1 3- 5-  0 11-  0  4  5
Curve Equation t 85305y1 [1,0,1,-3,31] 1
85305z (6 curves)	0	3- 5- 11- 47+	1 3- 5-  0 11- -6 -2 -4
Curve Equation t 85305z1 [1,0,1,93772,-158029027] 2 85305z2 [1,0,1,-3875633,-2842934569] 4 85305z3 [1,0,1,-9805238,7939459163] 4 85305z4 [1,0,1,-61456508,-185443405369] 2 85305z5 [1,0,1,27629137,54013687913] 2 85305z6 [1,0,1,-142113293,651962147681] 4
85305ba (1 curve)	0	3- 5- 11- 47+	-1 3- 5-  0 11-  0 -4 -5
Curve Equation t 85305ba1 [1,0,0,-305,-41898] 1
85305bb (1 curve)	1	3- 5- 11- 47-	1 3- 5- -1 11-  3  6  2
Curve Equation t Generators 85305bb1 [1,0,1,-463433,246068381] 1 [-45:16357:1]
85305bc (1 curve)	1	3- 5- 11- 47-	1 3- 5-  2 11-  4 -6 -7
Curve Equation t Generators 85305bc1 [1,0,1,-96803,-11752369] 1 [615:12397:1]
85305bd (4 curves)	1	3- 5- 11- 47-	-1 3- 5-  0 11- -2 -6  0
Curve Equation t Generators 85305bd1 [1,0,0,-44470,-3613213] 2 [319:3673:1] 85305bd2 [1,0,0,-45075,-3510000] 4 [395:6155:1] 85305bd3 [1,0,0,30550,-14082375] 2 [235:2350:1] 85305bd4 [1,0,0,-130380,13670427] 2 [-331:4703:1]
85305be (1 curve)	1	3- 5- 11- 47-	-1 3- 5- -2 11- -4  6  7
Curve Equation t Generators 85305be1 [1,0,0,-800,8757] 1 [19:-32:1]

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