Cremona's table of elliptic curves

31110 = 2 · 3 · 5 · 17 · 61

Class	r	Atkin-Lehner	Eigenvalues
31110a (1 curve)	0	2+ 3+ 5- 17+ 61+	2+ 3+ 5- -3  0 -5 17+  4
Curve Equation t 31110a1 [1,1,0,-27772,2120686] 1
31110b (2 curves)	1	2+ 3+ 5- 17- 61+	2+ 3+ 5- -2 -4  2 17-  0
Curve Equation t Generators 31110b1 [1,1,0,140603,-10816691] 2 [363:9211:1] 31110b2 [1,1,0,-645477,-93040659] 2 [-453:10554:1]
31110c (1 curve)	0	2+ 3- 5+ 17+ 61+	2+ 3- 5+  1 -5 -6 17+ -2
Curve Equation t 31110c1 [1,0,1,-10159,-397918] 1
31110d (1 curve)	0	2+ 3- 5+ 17+ 61+	2+ 3- 5+ -1  2 -1 17+ -6
Curve Equation t 31110d1 [1,0,1,-384,95182] 1
31110e (4 curves)	1	2+ 3- 5+ 17+ 61-	2+ 3- 5+  0  4 -6 17+  4
Curve Equation t Generators 31110e1 [1,0,1,-78569,8766956] 2 [224:1443:1] 31110e2 [1,0,1,-1269289,550306412] 4 [346:12179:1] 31110e3 [1,0,1,-1281489,539184892] 2 [338:11859:1] 31110e4 [1,0,1,-20308609,35224715996] 2 [2658:3658:1]
31110f (4 curves)	1	2+ 3- 5+ 17+ 61-	2+ 3- 5+  0 -4 -2 17+ -4
Curve Equation t Generators 31110f1 [1,0,1,3116,-139054] 2 [58:458:1] 31110f2 [1,0,1,-28884,-1623854] 4 [-112:513:1] 31110f3 [1,0,1,-126084,15638866] 2 [269:963:1] 31110f4 [1,0,1,-443684,-113785774] 2 [-384:241:1]
31110g (2 curves)	1	2+ 3- 5+ 17- 61+	2+ 3- 5+ -4  6  4 17-  8
Curve Equation t Generators 31110g1 [1,0,1,-464,-11158] 2 [63:-491:1] 31110g2 [1,0,1,-10834,-434254] 2 [-62:38:1]
31110h (2 curves)	1	2+ 3- 5- 17+ 61+	2+ 3- 5-  2 -4  2 17+  0
Curve Equation t Generators 31110h1 [1,0,1,-2653,-52744] 2 [-30:22:1] 31110h2 [1,0,1,-1933,-81832] 2 [79:470:1]
31110i (2 curves)	1	2+ 3- 5- 17+ 61+	2+ 3- 5-  4 -4 -4 17+  8
Curve Equation t Generators 31110i1 [1,0,1,-103,-214] 2 [-8:14:1] 31110i2 [1,0,1,-783,8218] 2 [-28:105:1]
31110j (4 curves)	0	2+ 3- 5- 17+ 61-	2+ 3- 5-  0  0  2 17+  4
Curve Equation t 31110j1 [1,0,1,-443,-2122] 2 31110j2 [1,0,1,-6223,-189394] 4 31110j3 [1,0,1,-5373,-242774] 2 31110j4 [1,0,1,-99553,-12098302] 2
31110k (2 curves)	0	2+ 3- 5- 17- 61+	2+ 3- 5- -2 -4  4 17- -4
Curve Equation t 31110k1 [1,0,1,-2113,-117952] 2 31110k2 [1,0,1,-51243,-4461044] 2
31110l (1 curve)	1	2+ 3- 5- 17- 61-	2+ 3- 5-  3 -1  0 17-  4
Curve Equation t Generators 31110l1 [1,0,1,31667,11233568] 1 [904:27455:1]
31110m (1 curve)	1	2+ 3- 5- 17- 61-	2+ 3- 5- -3 -4 -3 17-  4
Curve Equation t Generators 31110m1 [1,0,1,-158,776] 1 [12:19:1]
31110n (1 curve)	0	2- 3+ 5+ 17+ 61+	2- 3+ 5+  5  0 -5 17+  4
Curve Equation t 31110n1 [1,1,1,1964339,-4801155517] 1
31110o (4 curves)	1	2- 3+ 5+ 17- 61+	2- 3+ 5+  0 -4  2 17- -4
Curve Equation t Generators 31110o1 [1,1,1,-216,393] 2 [-58:349:8] 31110o2 [1,1,1,-1836,-30711] 4 [-186:157:8] 31110o3 [1,1,1,-306,-78447] 2 [9606:328189:8] 31110o4 [1,1,1,-29286,-1941231] 2 [617352:20910315:512]
31110p (4 curves)	1	2- 3+ 5+ 17- 61+	2- 3+ 5+ -4 -4 -6 17-  4
Curve Equation t Generators 31110p1 [1,1,1,-58866,2496639] 2 [-39:-2157:1] 31110p2 [1,1,1,-473586,-123910017] 4 [-431:827:1] 31110p3 [1,1,1,-34386,-344212737] 2 [789:10587:1] 31110p4 [1,1,1,-7548306,-7985338881] 2 [-1587:827:1]
31110q (2 curves)	1	2- 3+ 5- 17+ 61+	2- 3+ 5-  0  2 -4 17+  0
Curve Equation t Generators 31110q1 [1,1,1,-300,9275085] 2 [333:-6967:1] 31110q2 [1,1,1,-663980,204662477] 2 [-423:20461:1]
31110r (2 curves)	1	2- 3+ 5- 17+ 61+	2- 3+ 5-  2 -4  6 17+  0
Curve Equation t Generators 31110r1 [1,1,1,-630,9075] 2 [3:83:1] 31110r2 [1,1,1,-11510,470387] 2 [57:31:1]
31110s (1 curve)	1	2- 3+ 5- 17+ 61+	2- 3+ 5-  3 -1 -4 17+  0
Curve Equation t Generators 31110s1 [1,1,1,-60,-213] 1 [948:2649:64]
31110t (1 curve)	1	2- 3+ 5- 17- 61-	2- 3+ 5-  3  3 -6 17-  2
Curve Equation t Generators 31110t1 [1,1,1,1925,-20215] 1 [13:78:1]
31110u (2 curves)	0	2- 3- 5+ 17+ 61-	2- 3- 5+  2  0  2 17+ -1
Curve Equation t 31110u1 [1,0,0,-96,9216] 3 31110u2 [1,0,0,864,-248640] 1
31110v (2 curves)	0	2- 3- 5+ 17+ 61-	2- 3- 5+  2  4 -2 17+  8
Curve Equation t 31110v1 [1,0,0,-3346221,-2374663599] 2 31110v2 [1,0,0,-53655341,-151279596975] 2
31110w (4 curves)	0	2- 3- 5+ 17- 61+	2- 3- 5+  0  4  2 17- -4
Curve Equation t 31110w1 [1,0,0,-23756850681,1409384552846841] 2 31110w2 [1,0,0,-24092395001,1367522110592505] 4 31110w3 [1,0,0,17024604679,5554145475409401] 2 31110w4 [1,0,0,-70578103801,-5498296216324615] 2
31110x (2 curves)	1	2- 3- 5+ 17- 61-	2- 3- 5+  0  0  4 17-  0
Curve Equation t Generators 31110x1 [1,0,0,-4331,561] 2 [-2:97:1] 31110x2 [1,0,0,-47851,4013105] 2 [86:-775:1]
31110y (2 curves)	0	2- 3- 5- 17+ 61+	2- 3- 5- -2  2  2 17+ -4
Curve Equation t 31110y1 [1,0,0,-375890,-88890108] 2 31110y2 [1,0,0,-6017170,-5681655100] 2
31110z (1 curve)	1	2- 3- 5- 17+ 61-	2- 3- 5- -5 -3  4 17+  0
Curve Equation t Generators 31110z1 [1,0,0,-1380,148752] 1 [24:-372:1]
31110ba (2 curves)	1	2- 3- 5- 17- 61+	2- 3- 5-  0  0 -4 17-  0
Curve Equation t Generators 31110ba1 [1,0,0,-42415,-3362503] 2 [-118:113:1] 31110ba2 [1,0,0,-53295,-1506375] 2 [-60:1245:1]
31110bb (1 curve)	0	2- 3- 5- 17- 61-	2- 3- 5-  2 -4 -2 17- -1
Curve Equation t 31110bb1 [1,0,0,0,12] 1
31110bc (4 curves)	0	2- 3- 5- 17- 61-	2- 3- 5- -4 -4 -2 17- -4
Curve Equation t 31110bc1 [1,0,0,-35100,-2507760] 4 31110bc2 [1,0,0,-559980,-161336448] 4 31110bc3 [1,0,0,-558360,-162315900] 4 31110bc4 [1,0,0,-8959680,-10323293508] 2

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