Cremona's table of elliptic curves

99975 = 3 · 5² · 31 · 43

Class	r	Atkin-Lehner	Eigenvalues
99975a (1 curve)	2	3+ 5+ 31+ 43-	0 3+ 5+ -1 -5 -1 -4  0
Curve Equation t Generators 99975a1 [0,-1,1,-8383,305043] 1 [27:312:1]&[33:251:1]
99975b (2 curves)	2	3+ 5+ 31- 43+	-1 3+ 5+  2  0 -2  0 -2
Curve Equation t Generators 99975b1 [1,1,1,-378188,89360156] 2 [275:2362:1]&[380:647:1] 99975b2 [1,1,1,-382063,87430406] 2 [70:7777:1]&[3598:19095:8]
99975c (1 curve)	0	3+ 5+ 31- 43+	2 3+ 5+ -4  3  7 -3 -2
Curve Equation t 99975c1 [0,-1,1,-343958,-80662807] 1
99975d (1 curve)	1	3+ 5+ 31- 43-	1 3+ 5+  1  3 -1  2 -5
Curve Equation t Generators 99975d1 [1,1,0,-50,-6375] 1 [6888:8553:343]
99975e (2 curves)	1	3+ 5+ 31- 43-	1 3+ 5+ -2 -2 -2  2 -4
Curve Equation t Generators 99975e1 [1,1,0,-4150,-40625] 2 [-330:2165:8] 99975e2 [1,1,0,15225,-292500] 2 [662:9605:8]
99975f (1 curve)	1	3+ 5- 31+ 43-	-1 3+ 5-  0 -5  2  6 -1
Curve Equation t Generators 99975f1 [1,1,1,-1330863,-591510894] 1 [1387281361652:45532281269701:712121957]
99975g (1 curve)	1	3+ 5- 31- 43+	2 3+ 5- -1  3  1  2  0
Curve Equation t Generators 99975g1 [0,-1,1,42572,-8484867] 1 [1578:21975:8]
99975h (2 curves)	0	3- 5+ 31+ 43+	1 3- 5+  0  4  4  0  2
Curve Equation t 99975h1 [1,0,1,749,2273] 2 99975h2 [1,0,1,-3126,17773] 2
99975i (1 curve)	0	3- 5+ 31+ 43+	1 3- 5+  0 -5 -2 -6 -1
Curve Equation t 99975i1 [1,0,1,-33271576,-73872318577] 1
99975j (2 curves)	1	3- 5+ 31+ 43-	-1 3- 5+ -2  4  6  4 -2
Curve Equation t Generators 99975j1 [1,0,0,-55438,-4821133] 2 [-127:482:1] 99975j2 [1,0,0,-152313,16588242] 2 [417:4854:1]
99975k (2 curves)	1	3- 5+ 31- 43+	1 3- 5+  2  0  6  0 -6
Curve Equation t Generators 99975k1 [1,0,1,-6526,195323] 2 [72633:29234:1331] 99975k2 [1,0,1,-103401,12789073] 2 [11348:6669:64]
99975l (1 curve)	1	3- 5+ 31- 43+	2 3- 5+  3 -5 -3 -4  6
Curve Equation t Generators 99975l1 [0,1,1,-3158,-74281] 1 [1215606:25395719:2744]
99975m (4 curves)	2	3- 5+ 31- 43-	1 3- 5+  4 -4 -6 -6  0
Curve Equation t Generators 99975m1 [1,0,1,-50001,3974023] 2 [10201:1024967:1]&[4468:55859:64] 99975m2 [1,0,1,-170126,-22453477] 4 [-253:2226:1]&[294216:4124729:512] 99975m3 [1,0,1,329749,-129426727] 2 [5974:181767:8]&[11467779363279847276:-558570924597405576687:5211189636774848] 99975m4 [1,0,1,-2592001,-1606359727] 2 [18326:526183:8]&[6967:560891:1]
99975n (1 curve)	2	3- 5+ 31- 43-	-2 3- 5+ -5 -1  3  0 -6
Curve Equation t Generators 99975n1 [0,1,1,992,19894] 1 [-16:13:1]&[-7:-113:1]
99975o (1 curve)	1	3- 5- 31- 43-	-2 3- 5-  1  3 -1 -2  0
Curve Equation t Generators 99975o1 [0,1,1,1064292,-1058479756] 1 [1209:44686:1]
99975p (1 curve)	1	3- 5- 31- 43-	-2 3- 5-  4  3 -7  3 -2
Curve Equation t Generators 99975p1 [0,1,1,-13758,-650806] 1 [264:-3767:1]

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

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