Cremona's table of elliptic curves

75615 = 3 · 5 · 71²

Class	r	Atkin-Lehner	Eigenvalues
75615a (2 curves)	0	3+ 5+ 71-	1 3+ 5+  2  0  0 -4  4
Curve Equation t 75615a1 [1,1,0,-68158,9434287] 2 75615a2 [1,1,0,-1202383,506905372] 2
75615b (1 curve)	0	3+ 5+ 71-	-1 3+ 5+  4 -4  5  0  7
Curve Equation t 75615b1 [1,1,1,-176,-1276] 1
75615c (1 curve)	0	3+ 5+ 71-	-1 3+ 5+ -4  4 -5  0  7
Curve Equation t 75615c1 [1,1,1,-887321,430011218] 1
75615d (1 curve)	1	3+ 5- 71-	0 3+ 5- -1  2  1  2 -1
Curve Equation t Generators 75615d1 [0,-1,1,-127705,-19586199] 1 [1480999:31084123:2197]
75615e (8 curves)	1	3+ 5- 71-	-1 3+ 5-  0  4  2 -2  4
Curve Equation t Generators 75615e1 [1,1,1,-105,-66738] 2 [1333677744630:-13417370091672:13600574603] 75615e2 [1,1,1,-25310,-1538710] 4 [204771570:4355596930:389017] 75615e3 [1,1,1,-50515,2000072] 4 [1562:60351:1] 75615e4 [1,1,1,-403385,-98779600] 2 [386569897285:-2322084425537:517781627] 75615e5 [1,1,1,176330,15247820] 2 [-52:2463:1] 75615e6 [1,1,1,-680640,215738472] 4 [-18043728:1994944133:110592] 75615e7 [1,1,1,-554615,298259642] 2 [269357829649890:-10148311877673157:167284151000] 75615e8 [1,1,1,-10888665,13825077402] 2 [-5210:1151949:8]
75615f (4 curves)	1	3+ 5- 71-	-1 3+ 5- -4 -4 -2  2 -4
Curve Equation t Generators 75615f1 [1,1,1,25100,-10763740] 4 [188:708:1] 75615f2 [1,1,1,-605025,-172831890] 4 [25393:4031903:1] 75615f3 [1,1,1,-1739250,662865090] 2 [3310:28587:8] 75615f4 [1,1,1,-9552800,-11368287970] 2 [8734852770:1378794182599:343000]
75615g (2 curves)	1	3- 5+ 71-	-1 3- 5+  4  0 -6  0 -4
Curve Equation t Generators 75615g1 [1,0,0,-176,-849] 2 [19:43:1] 75615g2 [1,0,0,179,-3760] 2 [23:101:1]
75615h (2 curves)	1	3- 5+ 71-	-1 3- 5+ -4  0  6  0 -4
Curve Equation t Generators 75615h1 [1,0,0,-887321,298542720] 2 [911471:-5097295:1331] 75615h2 [1,0,0,902234,1351158971] 2 [521:44042:1]

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