Cremona's table of elliptic curves

5610 = 2 · 3 · 5 · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
5610a (4 curves)	1	2+ 3+ 5+ 11+ 17+	2+ 3+ 5+  0 11+ -6 17+  8
Curve Equation t Generators 5610a1 [1,1,0,-28,208] 2 [1:13:1] 5610a2 [1,1,0,-748,7552] 4 [1:82:1] 5610a3 [1,1,0,-1048,532] 2 [-3:62:1] 5610a4 [1,1,0,-11968,498988] 2 [63:-28:1]
5610b (1 curve)	0	2+ 3+ 5+ 11+ 17-	2+ 3+ 5+  1 11+  0 17-  4
Curve Equation t 5610b1 [1,1,0,27,-243] 1
5610c (2 curves)	0	2+ 3+ 5+ 11+ 17-	2+ 3+ 5+ -2 11+  0 17- -8
Curve Equation t 5610c1 [1,1,0,-22788,-7267632] 2 5610c2 [1,1,0,-719108,-234128688] 2
5610d (2 curves)	1	2+ 3+ 5+ 11- 17-	2+ 3+ 5+ -2 11-  0 17-  0
Curve Equation t Generators 5610d1 [1,1,0,27,57] 2 [-1:6:1] 5610d2 [1,1,0,-143,363] 2 [-11:33:1]
5610e (2 curves)	1	2+ 3+ 5+ 11- 17-	2+ 3+ 5+  4 11- -4 17-  4
Curve Equation t Generators 5610e1 [1,1,0,-88,-308] 2 [-6:10:1] 5610e2 [1,1,0,162,-1458] 2 [11:37:1]
5610f (4 curves)	0	2+ 3+ 5- 11+ 17+	2+ 3+ 5-  0 11+  2 17+  4
Curve Equation t 5610f1 [1,1,0,-3547,-14819] 2 5610f2 [1,1,0,-35547,2551581] 4 5610f3 [1,1,0,-567947,164507661] 2 5610f4 [1,1,0,-15147,5485101] 2
5610g (2 curves)	0	2+ 3+ 5- 11+ 17+	2+ 3+ 5-  2 11+ -4 17+ -6
Curve Equation t 5610g1 [1,1,0,-11622,-484716] 2 5610g2 [1,1,0,-185702,-30879084] 2
5610h (1 curve)	0	2+ 3+ 5- 11+ 17+	2+ 3+ 5- -3 11+ -4 17+  4
Curve Equation t 5610h1 [1,1,0,1768,4866] 1
5610i (4 curves)	1	2+ 3+ 5- 11- 17+	2+ 3+ 5-  0 11-  2 17+  4
Curve Equation t Generators 5610i1 [1,1,0,-52377,-4634859] 2 [-133:94:1] 5610i2 [1,1,0,-58157,-3556311] 4 [-187:1001:1] 5610i3 [1,1,0,-376907,86267439] 2 [433:1901:1] 5610i4 [1,1,0,168113,-24237389] 2 [187:3619:1]
5610j (1 curve)	1	2+ 3+ 5- 11- 17+	2+ 3+ 5-  3 11- -1 17+ -5
Curve Equation t Generators 5610j1 [1,1,0,-4242,107316] 1 [20:166:1]
5610k (2 curves)	1	2+ 3- 5+ 11+ 17-	2+ 3- 5+  0 11+  4 17- -8
Curve Equation t Generators 5610k1 [1,0,1,-8504,301106] 2 [78:-377:1] 5610k2 [1,0,1,-8254,319706] 2 [-32:758:1]
5610l (1 curve)	1	2+ 3- 5+ 11+ 17-	2+ 3- 5+ -3 11+ -5 17-  7
Curve Equation t Generators 5610l1 [1,0,1,-2864,-71938] 1 [953:28899:1]
5610m (4 curves)	1	2+ 3- 5+ 11- 17+	2+ 3- 5+  0 11- -2 17+  0
Curve Equation t Generators 5610m1 [1,0,1,-139,-538] 2 [-5:8:1] 5610m2 [1,0,1,-639,5662] 4 [-7:102:1] 5610m3 [1,0,1,-9989,383402] 2 [60:1:1] 5610m4 [1,0,1,711,26722] 2 [8:177:1]
5610n (4 curves)	1	2+ 3- 5+ 11- 17+	2+ 3- 5+  2 11- -4 17+  2
Curve Equation t Generators 5610n1 [1,0,1,-18729,984952] 6 [-74:1439:1] 5610n2 [1,0,1,-18899,966116] 6 [246:3226:1] 5610n3 [1,0,1,-23844,403426] 2 [-789:28381:27] 5610n4 [1,0,1,-220364,-39529438] 2 [39636:482575:64]
5610o (1 curve)	1	2+ 3- 5+ 11- 17+	2+ 3- 5+ -3 11-  1 17+ -3
Curve Equation t Generators 5610o1 [1,0,1,-91939,-29111074] 1 [3391:194912:1]
5610p (1 curve)	0	2+ 3- 5+ 11- 17-	2+ 3- 5+  3 11-  0 17-  0
Curve Equation t 5610p1 [1,0,1,-74157234,245812062532] 1
5610q (2 curves)	1	2+ 3- 5- 11+ 17+	2+ 3- 5- -1 11+ -1 17+ -7
Curve Equation t Generators 5610q1 [1,0,1,-103,398] 3 [-11:20:1] 5610q2 [1,0,1,422,1868] 1 [-3:25:1]
5610r (4 curves)	0	2+ 3- 5- 11+ 17-	2+ 3- 5-  2 11+ -4 17-  8
Curve Equation t 5610r1 [1,0,1,-43898,5987756] 6 5610r2 [1,0,1,-829978,290863148] 6 5610r3 [1,0,1,367927,-108178804] 2 5610r4 [1,0,1,-2417353,-1087483252] 2
5610s (4 curves)	0	2+ 3- 5- 11- 17+	2+ 3- 5-  4 11-  2 17+  4
Curve Equation t 5610s1 [1,0,1,7,-52] 2 5610s2 [1,0,1,-173,-844] 4 5610s3 [1,0,1,-2723,-54904] 2 5610s4 [1,0,1,-503,3248] 2
5610t (8 curves)	0	2+ 3- 5- 11- 17+	2+ 3- 5- -4 11-  2 17+ -4
Curve Equation t 5610t1 [1,0,1,43372,-1467502] 6 5610t2 [1,0,1,-189908,-12291694] 12 5610t3 [1,0,1,-780803,-272099842] 2 5610t4 [1,0,1,-2484908,-1506795694] 6 5610t5 [1,0,1,-1627388,790397138] 6 5610t6 [1,0,1,-12577283,-17169377794] 4 5610t7 [1,0,1,-201236483,-1098790303234] 2 5610t8 [1,0,1,-12661763,-16927055362] 2
5610u (1 curve)	1	2+ 3- 5- 11- 17-	2+ 3- 5- -1 11-  5 17- -5
Curve Equation t Generators 5610u1 [1,0,1,777,-123494] 1 [95:852:1]
5610v (2 curves)	1	2+ 3- 5- 11- 17-	2+ 3- 5-  2 11- -4 17- -8
Curve Equation t Generators 5610v1 [1,0,1,-8,278] 2 [2:15:1] 5610v2 [1,0,1,-688,6806] 2 [0:82:1]
5610w (1 curve)	0	2- 3+ 5+ 11+ 17+	2- 3+ 5+ -1 11+ -3 17+ -1
Curve Equation t 5610w1 [1,1,1,-86,13223] 1
5610x (1 curve)	0	2- 3+ 5+ 11+ 17+	2- 3+ 5+ -1 11+  4 17+ -8
Curve Equation t 5610x1 [1,1,1,-5389351,9273693149] 1
5610y (2 curves)	0	2- 3+ 5+ 11+ 17+	2- 3+ 5+  4 11+ -6 17+  2
Curve Equation t 5610y1 [1,1,1,-1,-37] 2 5610y2 [1,1,1,-171,-921] 2
5610z (2 curves)	1	2- 3+ 5+ 11- 17+	2- 3+ 5+ -4 11-  4 17+  4
Curve Equation t Generators 5610z1 [1,1,1,-1024276,-399370027] 2 [-587:513:1] 5610z2 [1,1,1,-924276,-480330027] 2 [1671:50589:1]
5610ba (2 curves)	0	2- 3+ 5+ 11- 17-	2- 3+ 5+ -2 11-  4 17- -2
Curve Equation t 5610ba1 [1,1,1,-441,-3741] 2 5610ba2 [1,1,1,-611,-817] 2
5610bb (6 curves)	0	2- 3+ 5- 11+ 17-	2- 3+ 5-  0 11+  6 17-  4
Curve Equation t 5610bb1 [1,1,1,-7310,237515] 4 5610bb2 [1,1,1,-7390,231947] 8 5610bb3 [1,1,1,-19890,-778053] 4 5610bb4 [1,1,1,3830,887195] 4 5610bb5 [1,1,1,-292140,-60890853] 2 5610bb6 [1,1,1,52360,-5055253] 2
5610bc (1 curve)	0	2- 3+ 5- 11+ 17-	2- 3+ 5-  3 11+  0 17- -8
Curve Equation t 5610bc1 [1,1,1,-165,-885] 1
5610bd (2 curves)	1	2- 3+ 5- 11- 17-	2- 3+ 5- -2 11- -4 17- -2
Curve Equation t Generators 5610bd1 [1,1,1,-200,-1015] 2 [-7:13:1] 5610bd2 [1,1,1,-880,8777] 2 [-13:141:1]
5610be (4 curves)	1	2- 3- 5+ 11+ 17+	2- 3- 5+ -4 11+  2 17+  2
Curve Equation t Generators 5610be1 [1,0,0,-2066,91140] 6 [-44:334:1] 5610be2 [1,0,0,-45586,3738116] 6 [-184:2522:1] 5610be3 [1,0,0,18094,-2114364] 2 [184:2638:1] 5610be4 [1,0,0,-178426,-25264420] 2 [-262:2006:1]
5610bf (2 curves)	0	2- 3- 5+ 11+ 17-	2- 3- 5+ -1 11+ -4 17- -4
Curve Equation t 5610bf1 [1,0,0,-145146,-21349404] 3 5610bf2 [1,0,0,-11764986,-15533261340] 1
5610bg (4 curves)	0	2- 3- 5+ 11+ 17-	2- 3- 5+  4 11+  6 17- -4
Curve Equation t 5610bg1 [1,0,0,-86781,9832545] 4 5610bg2 [1,0,0,-86801,9827781] 4 5610bg3 [1,0,0,-107371,4812815] 2 5610bg4 [1,0,0,-66551,14537931] 2
5610bh (2 curves)	0	2- 3- 5+ 11- 17+	2- 3- 5+  5 11- -4 17+ -4
Curve Equation t 5610bh1 [1,0,0,-281,2145] 3 5610bh2 [1,0,0,2029,-14949] 1
5610bi (4 curves)	1	2- 3- 5+ 11- 17-	2- 3- 5+  0 11- -6 17-  0
Curve Equation t Generators 5610bi1 [1,0,0,-2651,52305] 2 [-2:241:1] 5610bi2 [1,0,0,-2971,38801] 4 [-22:317:1] 5610bi3 [1,0,0,-19971,-1059399] 2 [-84:207:1] 5610bi4 [1,0,0,8909,274025] 2 [44:845:1]
5610bj (4 curves)	1	2- 3- 5+ 11- 17-	2- 3- 5+ -4 11- -2 17-  0
Curve Equation t Generators 5610bj1 [1,0,0,-166,4580] 2 [-4:74:1] 5610bj2 [1,0,0,-5286,146916] 4 [-24:522:1] 5610bj3 [1,0,0,-8006,-21180] 2 [118:-884:1] 5610bj4 [1,0,0,-84486,9444996] 2 [168:-78:1]
5610bk (2 curves)	1	2- 3- 5- 11+ 17-	2- 3- 5- -2 11+ -4 17- -6
Curve Equation t Generators 5610bk1 [1,0,0,-880,4352] 2 [-16:128:1] 5610bk2 [1,0,0,-11760,489600] 2 [-60:1020:1]
5610bl (2 curves)	1	2- 3- 5- 11- 17+	2- 3- 5- -4 11- -2 17+ -2
Curve Equation t Generators 5610bl1 [1,0,0,1595,25025] 2 [50:-505:1] 5610bl2 [1,0,0,-9285,236097] 2 [234:-3417:1]

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

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