Cremona's table of elliptic curves

5985 = 3² · 5 · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
5985a (1 curve)	0	3+ 5+ 7+ 19-	2 3+ 5+ 7+ -2 -2  4 19-
Curve Equation t 5985a1 [0,0,1,-3,-7] 1
5985b (2 curves)	1	3+ 5+ 7- 19-	-1 3+ 5+ 7-  0  0 -6 19-
Curve Equation t Generators 5985b1 [1,-1,1,-23,22] 2 [-2:8:1] 5985b2 [1,-1,1,82,106] 2 [5:22:1]
5985c (1 curve)	1	3+ 5+ 7- 19-	-2 3+ 5+ 7-  2  6  4 19-
Curve Equation t Generators 5985c1 [0,0,1,-4353,110554] 1 [31:73:1]
5985d (1 curve)	1	3+ 5- 7+ 19-	-2 3+ 5- 7+  2 -2 -4 19-
Curve Equation t Generators 5985d1 [0,0,1,-27,182] 1 [0:13:1]
5985e (2 curves)	0	3+ 5- 7- 19-	1 3+ 5- 7-  0  0  6 19-
Curve Equation t 5985e1 [1,-1,0,-204,-397] 2 5985e2 [1,-1,0,741,-3610] 2
5985f (1 curve)	0	3+ 5- 7- 19-	2 3+ 5- 7- -2  6 -4 19-
Curve Equation t 5985f1 [0,0,1,-39177,-2984965] 1
5985g (1 curve)	0	3- 5+ 7+ 19+	0 3- 5+ 7+  4  4  4 19+
Curve Equation t 5985g1 [0,0,1,492,19453] 1
5985h (6 curves)	0	3- 5+ 7+ 19+	1 3- 5+ 7+ -4 -2 -2 19+
Curve Equation t 5985h1 [1,-1,0,-1800,-33125] 2 5985h2 [1,-1,0,-29925,-1985000] 4 5985h3 [1,-1,0,-478800,-127400675] 2 5985h4 [1,-1,0,-31050,-1826825] 4 5985h5 [1,-1,0,-130275,16291660] 2 5985h6 [1,-1,0,50175,-9835610] 2
5985i (4 curves)	1	3- 5+ 7+ 19-	-1 3- 5+ 7+  4 -2 -2 19-
Curve Equation t Generators 5985i1 [1,-1,1,-128,586] 2 [8:1:1] 5985i2 [1,-1,1,-173,172] 4 [-8:35:1] 5985i3 [1,-1,1,-1748,-27548] 2 [-23:20:1] 5985i4 [1,-1,1,682,856] 2 [11:92:1]
5985j (6 curves)	1	3- 5+ 7- 19+	1 3- 5+ 7-  4 -2 -2 19+
Curve Equation t Generators 5985j1 [1,-1,0,630,-3969] 2 [70:581:1] 5985j2 [1,-1,0,-3015,-32400] 4 [-20:150:1] 5985j3 [1,-1,0,-41490,-3241215] 2 [2574:31347:8] 5985j4 [1,-1,0,-22860,1313091] 4 [-30:1419:1] 5985j5 [1,-1,0,-364005,84620700] 2 [-120:11310:1] 5985j6 [1,-1,0,765,3878766] 2 [110:15727:8]
5985k (1 curve)	1	3- 5+ 7- 19+	-1 3- 5+ 7-  0 -4  3 19+
Curve Equation t Generators 5985k1 [1,-1,1,-23,-48] 1 [6:-1:1]
5985l (4 curves)	1	3- 5+ 7- 19+	-1 3- 5+ 7-  0  6 -2 19+
Curve Equation t Generators 5985l1 [1,-1,1,-7820033,8419001456] 4 [-2499:112381:1] 5985l2 [1,-1,1,-7928078,8174474012] 4 [2023:19288:1] 5985l3 [1,-1,1,-23052173,-32279455294] 2 [1857940:311056623:64] 5985l4 [1,-1,1,5467297,32977350362] 2 [-14434:1057535:8]
5985m (2 curves)	1	3- 5+ 7- 19+	2 3- 5+ 7-  3 -1 -3 19+
Curve Equation t Generators 5985m1 [0,0,1,-1893,-181661] 1 [706:4651:8] 5985m2 [0,0,1,-149943,29352109] 1 [-16961869418:-3061252528593:523606616]
5985n (6 curves)	0	3- 5+ 7- 19-	1 3- 5+ 7- -4  6 -2 19-
Curve Equation t 5985n1 [1,-1,0,1128420,-139471925] 2 5985n2 [1,-1,0,-4736025,-1137600464] 4 5985n3 [1,-1,0,-59562900,-176726150339] 2 5985n4 [1,-1,0,-43740270,110500349575] 4 5985n5 [1,-1,0,-698349645,7103430458950] 2 5985n6 [1,-1,0,-13198815,261930991756] 2
5985o (1 curve)	0	3- 5+ 7- 19-	2 3- 5+ 7-  3  3 -3 19-
Curve Equation t 5985o1 [0,0,1,-873,9929] 1
5985p (4 curves)	0	3- 5- 7+ 19-	1 3- 5- 7+  0 -6 -6 19-
Curve Equation t 5985p1 [1,-1,0,1791,-110160] 2 5985p2 [1,-1,0,-26334,-1510785] 4 5985p3 [1,-1,0,-412209,-101761110] 2 5985p4 [1,-1,0,-90459,8762040] 2
5985q (4 curves)	0	3- 5- 7- 19+	1 3- 5- 7-  0  2 -6 19+
Curve Equation t 5985q1 [1,-1,0,-60264,-5679077] 2 5985q2 [1,-1,0,-62469,-5239400] 4 5985q3 [1,-1,0,-259344,45593725] 2 5985q4 [1,-1,0,99126,-27959657] 2
5985r (3 curves)	1	3- 5- 7- 19-	0 3- 5- 7-  0 -4  0 19-
Curve Equation t Generators 5985r1 [0,0,1,438,-3105] 1 [130:725:8] 5985r2 [0,0,1,-4422,161892] 3 [-58:472:1] 5985r3 [0,0,1,-399432,97165575] 3 [113:7312:1]
5985s (1 curve)	1	3- 5- 7- 19-	1 3- 5- 7- -4  0  1 19-
Curve Equation t Generators 5985s1 [1,-1,0,576,-6395] 1 [36:227:1]

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