Cremona's table of elliptic curves

9975 = 3 · 5² · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
9975a (6 curves)	1	3+ 5+ 7+ 19+	1 3+ 5+ 7+ -4  2 -2 19+
Curve Equation t Generators 9975a1 [1,1,0,1750,18375] 2 [70:665:1] 9975a2 [1,1,0,-8375,150000] 4 [800:22100:1] 9975a3 [1,1,0,-63500,-6079125] 4 [52180:1383285:64] 9975a4 [1,1,0,-115250,15005625] 2 [200:-25:1] 9975a5 [1,1,0,-1011125,-391762500] 2 [-772904110:389354937:1331000] 9975a6 [1,1,0,2125,-17957250] 2 [68268860:1869295695:85184]
9975b (4 curves)	1	3+ 5+ 7+ 19+	-1 3+ 5+ 7+  0 -6 -2 19+
Curve Equation t Generators 9975b1 [1,1,1,-21722313,-38976858594] 2 [-322953631875021426:200398833266370712:119961748328759] 9975b2 [1,1,1,-22022438,-37844787094] 4 [-83593182780:-902194604393:36264691] 9975b3 [1,1,1,-64033813,149441922656] 2 [288400:154676112:1] 9975b4 [1,1,1,15186937,-152672918344] 2 [1539059773375529252231:-87899213170503791640623:280058730962295979]
9975c (3 curves)	0	3+ 5+ 7+ 19-	0 3+ 5+ 7+  0  4  0 19-
Curve Equation t 9975c1 [0,-1,1,1217,13968] 1 9975c2 [0,-1,1,-12283,-745407] 1 9975c3 [0,-1,1,-1109533,-449470782] 1
9975d (2 curves)	0	3+ 5+ 7- 19+	1 3+ 5+ 7- -2 -4  0 19+
Curve Equation t 9975d1 [1,1,0,-10775,426000] 2 9975d2 [1,1,0,-11650,351625] 2
9975e (4 curves)	1	3+ 5+ 7- 19-	1 3+ 5+ 7-  0  6 -6 19-
Curve Equation t Generators 9975e1 [1,1,0,4975,510000] 2 [4:726:1] 9975e2 [1,1,0,-73150,6994375] 4 [-114:3781:1] 9975e3 [1,1,0,-251275,-40565000] 2 [6750:146075:8] 9975e4 [1,1,0,-1145025,471116250] 2 [-450:30150:1]
9975f (1 curve)	0	3+ 5- 7+ 19+	-1 3+ 5- 7+ -2  1  2 19+
Curve Equation t 9975f1 [1,1,1,-2638,-53344] 1
9975g (1 curve)	1	3+ 5- 7- 19+	0 3+ 5- 7- -2 -2  0 19+
Curve Equation t Generators 9975g1 [0,-1,1,-113,503] 1 [7:2:1]
9975h (1 curve)	1	3+ 5- 7- 19+	1 3+ 5- 7-  3 -4  0 19+
Curve Equation t Generators 9975h1 [1,1,0,-150,-1575] 1 [16:13:1]
9975i (4 curves)	0	3- 5+ 7+ 19+	1 3- 5+ 7+  0 -2 -6 19+
Curve Equation t 9975i1 [1,0,1,-167401,26347823] 2 9975i2 [1,0,1,-173526,24314323] 4 9975i3 [1,0,1,-720401,-210841927] 2 9975i4 [1,0,1,275349,129351073] 2
9975j (1 curve)	0	3- 5+ 7+ 19+	-1 3- 5+ 7+  3  4  0 19+
Curve Equation t 9975j1 [1,0,0,-3763,-189358] 1
9975k (2 curves)	1	3- 5+ 7+ 19-	1 3- 5+ 7+ -2  0  4 19-
Curve Equation t Generators 9975k1 [1,0,1,-326,-2077] 2 [-9:16:1] 9975k2 [1,0,1,-1201,13673] 2 [-17:179:1]
9975l (6 curves)	1	3- 5+ 7+ 19-	1 3- 5+ 7+  4 -6 -2 19-
Curve Equation t Generators 9975l1 [1,0,1,3134499,644658523] 2 [22126:1385433:8] 9975l2 [1,0,1,-13155626,5271054023] 4 [50907:11431546:1] 9975l3 [1,0,1,-121500751,-511535192227] 4 [2029821570667:-254472816027259:91733851] 9975l4 [1,0,1,-165452501,818231772773] 2 [2355342113970:14808917161879:300763000] 9975l5 [1,0,1,-1939860126,-32885605504727] 2 [-1752451643:973644486:68921] 9975l6 [1,0,1,-36663376,-1212631259227] 2 [11591215729390:-2594667328626727:226981000]
9975m (1 curve)	1	3- 5+ 7- 19+	0 3- 5+ 7- -4 -4  4 19+
Curve Equation t Generators 9975m1 [0,1,1,1367,-89606] 1 [148:1837:1]
9975n (1 curve)	1	3- 5+ 7- 19+	1 3- 5+ 7- -2 -1 -2 19+
Curve Equation t Generators 9975n1 [1,0,1,-106,-427] 1 [13:14:1]
9975o (6 curves)	1	3- 5+ 7- 19+	1 3- 5+ 7-  4  2 -2 19+
Curve Equation t Generators 9975o1 [1,0,1,-5001,155023] 2 [36043:287183:343] 9975o2 [1,0,1,-83126,9217523] 4 [423:6844:1] 9975o3 [1,0,1,-86251,8486273] 4 [-203:4301:1] 9975o4 [1,0,1,-1330001,590261273] 2 [162618:777679:216] 9975o5 [1,0,1,-361876,-75303727] 2 [-2674:24433:8] 9975o6 [1,0,1,139374,45488773] 4 [-187:3684:1]
9975p (2 curves)	1	3- 5+ 7- 19+	-1 3- 5+ 7- -2  4  4 19+
Curve Equation t Generators 9975p1 [1,0,0,-5263,-44608] 2 [-19:230:1] 9975p2 [1,0,0,-48138,4028517] 2 [-33:2379:1]
9975q (1 curve)	1	3- 5- 7+ 19+	0 3- 5- 7+ -2  2  0 19+
Curve Equation t Generators 9975q1 [0,1,1,-2833,57244] 1 [8:187:1]

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

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