Cremona's table of elliptic curves

1680 = 2⁴ · 3 · 5 · 7

Class	r	Atkin-Lehner	Eigenvalues
1680a (4 curves)	1	2+ 3+ 5+ 7+	2+ 3+ 5+ 7+  0  2  2 -4
Curve Equation t Generators 1680a1 [0,-1,0,-36,96] 2 [5:4:1] 1680a2 [0,-1,0,-56,0] 4 [-4:12:1] 1680a3 [0,-1,0,-656,-6240] 2 [-14:2:1] 1680a4 [0,-1,0,224,-224] 2 [10:54:1]
1680b (4 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7-  0  6 -2 -4
Curve Equation t 1680b1 [0,-1,0,-27991,1811530] 2 1680b2 [0,-1,0,-31116,1385280] 4 1680b3 [0,-1,0,-202616,-34012320] 2 1680b4 [0,-1,0,90384,9452880] 4
1680c (4 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7-  4 -6 -2  8
Curve Equation t 1680c1 [0,-1,0,-71,246] 2 1680c2 [0,-1,0,-196,-704] 4 1680c3 [0,-1,0,-2896,-59024] 2 1680c4 [0,-1,0,504,-5184] 2
1680d (6 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7- -4 -2  2 -4
Curve Equation t Generators 1680d1 [0,-1,0,-15,-90] 2 [354:1144:27] 1680d2 [0,-1,0,-420,-3168] 4 [52:336:1] 1680d3 [0,-1,0,-6720,-209808] 2 [97:204:1] 1680d4 [0,-1,0,-600,0] 8 [-20:60:1] 1680d5 [0,-1,0,-6480,202272] 4 [-76:500:1] 1680d6 [0,-1,0,2400,-2400] 4 [10:150:1]
1680e (4 curves)	0	2+ 3- 5+ 7+	2+ 3- 5+ 7+  0 -2  6  4
Curve Equation t 1680e1 [0,1,0,9,84] 2 1680e2 [0,1,0,-236,1260] 4 1680e3 [0,1,0,-656,-4956] 2 1680e4 [0,1,0,-3736,86660] 4
1680f (4 curves)	0	2+ 3- 5+ 7+	2+ 3- 5+ 7+  4  2 -2  0
Curve Equation t 1680f1 [0,1,0,9,0] 2 1680f2 [0,1,0,-36,-36] 4 1680f3 [0,1,0,-456,-3900] 2 1680f4 [0,1,0,-336,2244] 2
1680g (4 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7- -4 -2 -6  0
Curve Equation t Generators 1680g1 [0,1,0,-316,2060] 2 [11:6:1] 1680g2 [0,1,0,-336,1764] 4 [-6:60:1] 1680g3 [0,1,0,-1736,-26796] 2 [-20:18:1] 1680g4 [0,1,0,744,11700] 2 [-6:84:1]
1680h (6 curves)	1	2+ 3- 5- 7+	2+ 3- 5- 7+ -4 -2 -6 -4
Curve Equation t Generators 1680h1 [0,1,0,-735,-7920] 2 [48:264:1] 1680h2 [0,1,0,-740,-7812] 4 [-17:12:1] 1680h3 [0,1,0,-1720,16100] 8 [-40:150:1] 1680h4 [0,1,0,160,-24732] 2 [43:252:1] 1680h5 [0,1,0,-24400,1458548] 8 [-154:1260:1] 1680h6 [0,1,0,5280,119700] 4 [-12:234:1]
1680i (4 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7-  0  2  2  0
Curve Equation t 1680i1 [0,1,0,-15,-12] 2 1680i2 [0,1,0,-140,588] 4 1680i3 [0,1,0,-2240,40068] 2 1680i4 [0,1,0,-40,1508] 4
1680j (6 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7-  4 -2  2  4
Curve Equation t 1680j1 [0,1,0,-175,-952] 2 1680j2 [0,1,0,-180,-900] 4 1680j3 [0,1,0,-680,5700] 8 1680j4 [0,1,0,240,-4092] 2 1680j5 [0,1,0,-10480,409460] 4 1680j6 [0,1,0,1120,32340] 4
1680k (8 curves)	0	2- 3+ 5+ 7+	2- 3+ 5+ 7+  0  2 -6  4
Curve Equation t 1680k1 [0,-1,0,-656,2496] 2 1680k2 [0,-1,0,-5776,-165440] 4 1680k3 [0,-1,0,-42896,3433920] 2 1680k4 [0,-1,0,-92176,-10740800] 2 1680k5 [0,-1,0,-1296,-419904] 2 1680k6 [0,-1,0,-43216,3380416] 4 1680k7 [0,-1,0,-103216,-7995584] 2 1680k8 [0,-1,0,11664,11327040] 2
1680l (4 curves)	0	2- 3+ 5+ 7+	2- 3+ 5+ 7+ -6 -4  6 -2
Curve Equation t 1680l1 [0,-1,0,-61,-164] 2 1680l2 [0,-1,0,-36,-324] 2 1680l3 [0,-1,0,-301,1960] 2 1680l4 [0,-1,0,324,8460] 2
1680m (8 curves)	1	2- 3+ 5- 7+	2- 3+ 5- 7+  0  2 -6 -8
Curve Equation t Generators 1680m1 [0,-1,0,-7960,-270608] 2 [-51:10:1] 1680m2 [0,-1,0,-9240,-176400] 4 [-70:350:1] 1680m3 [0,-1,0,-23560,1065712] 2 [-3:1066:1] 1680m4 [0,-1,0,-69720,6984432] 4 [124:480:1] 1680m5 [0,-1,0,30760,-1328400] 2 [90:1470:1] 1680m6 [0,-1,0,-351240,80233200] 4 [2:8918:1] 1680m7 [0,-1,0,-5619720,5129544432] 4 [1538:11050:1] 1680m8 [0,-1,0,-325640,92398320] 2 [842:20358:1]
1680n (4 curves)	1	2- 3+ 5- 7+	2- 3+ 5- 7+  0 -6  2  8
Curve Equation t Generators 1680n1 [0,-1,0,-40,-80] 2 [-3:2:1] 1680n2 [0,-1,0,-120,432] 4 [-6:30:1] 1680n3 [0,-1,0,-1800,30000] 4 [-20:240:1] 1680n4 [0,-1,0,280,2352] 2 [2:54:1]
1680o (2 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7- -2  4  2  2
Curve Equation t 1680o1 [0,-1,0,-5,0] 2 1680o2 [0,-1,0,20,-20] 2
1680p (8 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7-  4 -2  2 -4
Curve Equation t 1680p1 [0,-1,0,3360,-57600] 2 1680p2 [0,-1,0,-17120,-499968] 4 1680p3 [0,-1,0,-241120,-45479168] 2 1680p4 [0,-1,0,-120800,15840000] 8 1680p5 [0,-1,0,-1920800,1025280000] 8 1680p6 [0,-1,0,20320,50499072] 4 1680p7 [0,-1,0,-30732800,65587209600] 4 1680p8 [0,-1,0,-1908800,1038710400] 4
1680q (2 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7- -2  4  6 -6
Curve Equation t 1680q1 [0,1,0,-4061,-67590] 2 1680q2 [0,1,0,11564,-448840] 2
1680r (4 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  4 -2 -6  0
Curve Equation t 1680r1 [0,1,0,-56,84] 2 1680r2 [0,1,0,-376,-2860] 4 1680r3 [0,1,0,-5976,-179820] 2 1680r4 [0,1,0,104,-9196] 2
1680s (2 curves)	0	2- 3- 5- 7+	2- 3- 5- 7+  2  4  2 -2
Curve Equation t 1680s1 [0,1,0,-565,-5362] 2 1680s2 [0,1,0,-540,-5832] 2
1680t (6 curves)	0	2- 3- 5- 7+	2- 3- 5- 7+ -4 -2  2  4
Curve Equation t 1680t1 [0,1,0,160,1140] 2 1680t2 [0,1,0,-1120,10868] 4 1680t3 [0,1,0,-5920,-167692] 2 1680t4 [0,1,0,-16800,832500] 8 1680t5 [0,1,0,-268800,53550900] 4 1680t6 [0,1,0,-15680,949428] 8

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