Cremona's table of elliptic curves

99705 = 3 · 5 · 17² · 23

Class	r	Atkin-Lehner	Eigenvalues
99705a (2 curves)	0	3+ 5+ 17+ 23-	1 3+ 5+  2  6 -2 17+  4
Curve Equation t 99705a1 [1,1,0,-35408,-3142077] 2 99705a2 [1,1,0,-600403,-179307518] 2
99705b (6 curves)	0	3+ 5+ 17+ 23-	-1 3+ 5+  0  4 -2 17+  4
Curve Equation t 99705b1 [1,1,1,-39021,9236154] 2 99705b2 [1,1,1,-942146,350978654] 4 99705b3 [1,1,1,-1267271,87107204] 4 99705b4 [1,1,1,-15067021,22504432604] 2 99705b5 [1,1,1,4996804,698480924] 2 99705b6 [1,1,1,-12733346,-17405536816] 2
99705c (4 curves)	0	3+ 5+ 17+ 23-	-1 3+ 5+ -4  0 -2 17+ -4
Curve Equation t 99705c1 [1,1,1,-882901,-319680526] 2 99705c2 [1,1,1,-884346,-318583482] 4 99705c3 [1,1,1,-342471,-704181732] 2 99705c4 [1,1,1,-1449341,137254484] 2
99705d (1 curve)	0	3+ 5+ 17+ 23-	2 3+ 5+ -3 -2  1 17+  4
Curve Equation t 99705d1 [0,-1,1,-566536,-163941429] 1
99705e (1 curve)	0	3+ 5+ 17+ 23-	-2 3+ 5+  5  2 -6 17+  2
Curve Equation t 99705e1 [0,-1,1,-28996,2169702] 1
99705f (1 curve)	0	3+ 5- 17+ 23+	0 3+ 5-  3  4  0 17+ -8
Curve Equation t 99705f1 [0,-1,1,-385,8271] 1
99705g (1 curve)	0	3+ 5- 17+ 23+	0 3+ 5-  3 -6 -5 17+  2
Curve Equation t 99705g1 [0,-1,1,-2731435,-1727744994] 1
99705h (2 curves)	0	3+ 5- 17+ 23+	1 3+ 5-  0 -4  2 17+  0
Curve Equation t 99705h1 [1,1,0,-14022,89387631] 2 99705h2 [1,1,0,-3084647,2055201756] 2
99705i (1 curve)	1	3+ 5- 17+ 23-	0 3+ 5-  1 -4 -5 17+ -2
Curve Equation t Generators 99705i1 [0,-1,1,-298055,-54341647] 1 [-6927:61399:27]
99705j (4 curves)	1	3+ 5- 17+ 23-	1 3+ 5- -4 -4  6 17+ -4
Curve Equation t Generators 99705j1 [1,1,0,131923,11665416] 2 [6366:196227:8] 99705j2 [1,1,0,-632482,100795039] 4 [3758:223541:1] 99705j3 [1,1,0,-4786857,-3963014586] 2 [870378:43934981:216] 99705j4 [1,1,0,-8708587,9884188636] 2 [1752:2014:1]
99705k (2 curves)	1	3+ 5- 17+ 23-	-1 3+ 5-  2 -2 -2 17+ -4
Curve Equation t Generators 99705k1 [1,1,1,-10878255,-13845668340] 2 [2486834883258589149844261170:-1921730377732066618213028341822:4169708809860388555125] 99705k2 [1,1,1,-174161810,-884734837288] 2 [-3024726624403189230:1506560143471092271:396984346762375]
99705l (4 curves)	1	3+ 5- 17+ 23-	-1 3+ 5- -4  4 -2 17+  8
Curve Equation t Generators 99705l1 [1,1,1,2595,-2598] 2 [82:836:1] 99705l2 [1,1,1,-10410,-33810] 4 [-32:533:1] 99705l3 [1,1,1,-110115,13964772] 2 [222:611:1] 99705l4 [1,1,1,-118785,-15769860] 2 [443:4113:1]
99705m (1 curve)	1	3+ 5- 17+ 23-	2 3+ 5-  5 -6  1 17+ -4
Curve Equation t Generators 99705m1 [0,-1,1,-24950,-1121719] 1 [-870:4331:8]
99705n (1 curve)	2	3- 5+ 17+ 23+	0 3- 5+ -1  4 -5 17+ -2
Curve Equation t Generators 99705n1 [0,1,1,-1031,-11425] 1 [-23:25:1]&[-21:37:1]
99705o (4 curves)	1	3- 5+ 17+ 23-	1 3- 5+  0  0 -2 17+  4
Curve Equation t Generators 99705o1 [1,0,1,-35409,2561527] 2 [15273384432488:-24214168090211:132339124736] 99705o2 [1,0,1,-36854,2340731] 4 [409006:21283107:17576] 99705o3 [1,0,1,62851,12829697] 2 [9562351370:-246619526379:23393656] 99705o4 [1,0,1,-159679,-22273399] 2 [1801:73481:1]
99705p (2 curves)	1	3- 5+ 17+ 23-	1 3- 5+  0  4  2 17+  0
Curve Equation t Generators 99705p1 [1,0,1,-49,18191] 2 [-11:137:1] 99705p2 [1,0,1,-10674,417691] 2 [-61:948:1]
99705q (1 curve)	1	3- 5+ 17+ 23-	2 3- 5+ -3 -2 -2 17+ -2
Curve Equation t Generators 99705q1 [0,1,1,8574,-423709] 1 [330:341:8]
99705r (1 curve)	1	3- 5- 17+ 23+	0 3- 5- -1 -4  0 17+  0
Curve Equation t Generators 99705r1 [0,1,1,-211355,-37470619] 1 [835:19207:1]
99705s (1 curve)	1	3- 5- 17+ 23+	-2 3- 5- -1 -2  5 17+  0
Curve Equation t Generators 99705s1 [0,1,1,-79860,8198606] 1 [45:2167:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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