Cremona's table of elliptic curves

16695 = 3² · 5 · 7 · 53

Class	r	Atkin-Lehner	Eigenvalues
16695a (1 curve)	1	3+ 5+ 7+ 53+	1 3+ 5+ 7+  3 -5  2  2
Curve Equation t Generators 16695a1 [1,-1,0,-15,-1450] 1 [166:2050:1]
16695b (1 curve)	0	3+ 5+ 7+ 53-	2 3+ 5+ 7+  6  4  7  8
Curve Equation t 16695b1 [0,0,1,-367083,171356563] 1
16695c (2 curves)	1	3+ 5+ 7- 53-	1 3+ 5+ 7- -2  2 -4 -2
Curve Equation t Generators 16695c1 [1,-1,0,-285,2600] 2 [8:24:1] 16695c2 [1,-1,0,-5010,137735] 2 [334:-121:8]
16695d (1 curve)	1	3+ 5+ 7- 53-	1 3+ 5+ 7-  3 -3  6 -2
Curve Equation t Generators 16695d1 [1,-1,0,-1057530,-418324099] 1 [18534692:2171734253:1331]
16695e (1 curve)	0	3+ 5- 7+ 53+	-2 3+ 5- 7+ -6  4 -7  8
Curve Equation t 16695e1 [0,0,1,-3303747,-4626627208] 1
16695f (1 curve)	1	3+ 5- 7+ 53-	-1 3+ 5- 7+ -3 -5 -2  2
Curve Equation t Generators 16695f1 [1,-1,1,-2,54] 1 [2:6:1]
16695g (2 curves)	1	3+ 5- 7- 53+	-1 3+ 5- 7-  2  2  4 -2
Curve Equation t Generators 16695g1 [1,-1,1,-32,-86] 2 [14:38:1] 16695g2 [1,-1,1,-557,-4916] 2 [29:37:1]
16695h (1 curve)	1	3+ 5- 7- 53+	-1 3+ 5- 7- -3 -3 -6 -2
Curve Equation t Generators 16695h1 [1,-1,1,-9517772,11304268444] 1 [1762:536:1]
16695i (4 curves)	0	3- 5+ 7+ 53+	1 3- 5+ 7+  0  6 -6  4
Curve Equation t 16695i1 [1,-1,0,-5220,146475] 2 16695i2 [1,-1,0,-5265,143856] 4 16695i3 [1,-1,0,-13140,-380619] 2 16695i4 [1,-1,0,1890,500175] 2
16695j (8 curves)	1	3- 5+ 7- 53+	1 3- 5+ 7-  4 -2 -2 -4
Curve Equation t Generators 16695j1 [1,-1,0,-1073700,-427957205] 2 [891976:27535273:512] 16695j2 [1,-1,0,-1073745,-427919504] 4 [50734:3956863:8] 16695j3 [1,-1,0,-1181790,-336491825] 4 [1370490:-108157295:216] 16695j4 [1,-1,0,-966420,-516934859] 2 [3134460:-106620143:1728] 16695j5 [1,-1,0,-7375635,7454126416] 4 [10118117138586:749318903381957:1552836312] 16695j6 [1,-1,0,3283335,-2277035150] 2 [67951235634:5519576804657:10941048] 16695j7 [1,-1,0,-116911530,486586038325] 2 [1082991106869113483775446370:45210967315009802775384933065:123228935916287211662904] 16695j8 [1,-1,0,3058740,26847455791] 2 [19035771759258155632770:1620404106303585236460377:3113658210514201272]
16695k (6 curves)	1	3- 5+ 7- 53+	1 3- 5+ 7- -4 -2  6 -4
Curve Equation t Generators 16695k1 [1,-1,0,11430,860575] 2 [-30:715:1] 16695k2 [1,-1,0,-96615,9698656] 4 [-100:4334:1] 16695k3 [1,-1,0,-447210,-105927575] 2 [-19756:113765:64] 16695k4 [1,-1,0,-1474740,689665531] 4 [7950:110503:8] 16695k5 [1,-1,0,-23595615,44121791506] 2 [1778:87356:1] 16695k6 [1,-1,0,-1403865,758882056] 2 [16623750:-300579241:17576]
16695l (1 curve)	1	3- 5+ 7- 53+	-2 3- 5+ 7-  2  4 -3 -4
Curve Equation t Generators 16695l1 [0,0,1,-993,-13892] 1 [94:850:1]
16695m (2 curves)	0	3- 5+ 7- 53-	1 3- 5+ 7-  6  2  0  8
Curve Equation t 16695m1 [1,-1,0,-13095,584496] 2 16695m2 [1,-1,0,-209970,37085121] 2
16695n (1 curve)	0	3- 5- 7+ 53-	0 3- 5- 7+ -5  1 -3 -2
Curve Equation t 16695n1 [0,0,1,-192,-19985] 1
16695o (4 curves)	0	3- 5- 7+ 53-	-1 3- 5- 7+  0 -2 -2  8
Curve Equation t 16695o1 [1,-1,1,-12857,19464] 4 16695o2 [1,-1,1,-139262,-19901964] 4 16695o3 [1,-1,1,-2226137,-1277870214] 2 16695o4 [1,-1,1,-74867,-38421966] 2
16695p (1 curve)	0	3- 5- 7+ 53-	2 3- 5- 7+ -2  4 -1  4
Curve Equation t 16695p1 [0,0,1,933,-6125] 1

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

Part of Computational Number Theory
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