Cremona's table of elliptic curves

35805 = 3 · 5 · 7 · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
35805a (4 curves)	1	3+ 5+ 7- 11- 31+	-1 3+ 5+ 7- 11- -6 -6 -4
Curve Equation t Generators 35805a1 [1,1,1,-1351,18548] 2 [22:-2:1] 35805a2 [1,1,1,-1476,14748] 4 [-24:204:1] 35805a3 [1,1,1,3949,103718] 2 [7:359:1] 35805a4 [1,1,1,-8901,-314922] 2 [-51:123:1]
35805b (2 curves)	0	3+ 5+ 7- 11- 31-	1 3+ 5+ 7- 11- -4  2  0
Curve Equation t 35805b1 [1,1,0,-28,-53] 2 35805b2 [1,1,0,77,-242] 2
35805c (2 curves)	0	3+ 5+ 7- 11- 31-	-1 3+ 5+ 7- 11- -6  6  2
Curve Equation t 35805c1 [1,1,1,2812614,-1628958186] 2 35805c2 [1,1,1,-15422981,-15101415772] 2
35805d (4 curves)	0	3+ 5- 7+ 11+ 31+	1 3+ 5- 7+ 11+  2  2 -4
Curve Equation t 35805d1 [1,1,0,-182,-441] 2 35805d2 [1,1,0,-2387,-45864] 4 35805d3 [1,1,0,-1862,-65919] 2 35805d4 [1,1,0,-38192,-2888781] 2
35805e (2 curves)	0	3+ 5- 7+ 11+ 31+	1 3+ 5- 7+ 11+ -4  6  4
Curve Equation t 35805e1 [1,1,0,-17097,395784] 2 35805e2 [1,1,0,59448,3044241] 2
35805f (4 curves)	1	3+ 5- 7+ 11- 31+	-1 3+ 5- 7+ 11- -2  2  8
Curve Equation t Generators 35805f1 [1,1,1,-43540,-3515020] 2 [608:13668:1] 35805f2 [1,1,1,-43945,-3446818] 4 [-108:286:1] 35805f3 [1,1,1,17930,-12307318] 2 [2367:114136:1] 35805f4 [1,1,1,-112300,9786710] 4 [-342:3058:1]
35805g (6 curves)	0	3+ 5- 7+ 11- 31-	-1 3+ 5- 7+ 11-  6  2  4
Curve Equation t 35805g1 [1,1,1,-83650,-146090530] 4 35805g2 [1,1,1,-4701255,-3893738748] 8 35805g3 [1,1,1,-8232930,2742984912] 4 35805g4 [1,1,1,-75051260,-250287596260] 4 35805g5 [1,1,1,-74882465,-251469228778] 2 35805g6 [1,1,1,-1200820135,-16016905844410] 2
35805h (1 curve)	0	3+ 5- 7+ 11- 31-	2 3+ 5- 7+ 11-  2 -5 -1
Curve Equation t 35805h1 [0,-1,1,-62851530,-191767872319] 1
35805i (4 curves)	1	3+ 5- 7- 11+ 31+	1 3+ 5- 7- 11+  6 -6 -4
Curve Equation t Generators 35805i1 [1,1,0,-262432,-1236941] 2 [851997342410:26211133719419:712121957] 35805i2 [1,1,0,-2919637,-1916018864] 4 [41046:2729917:8] 35805i3 [1,1,0,-1676692,-3557452031] 4 [4227529962:285368794019:830584] 35805i4 [1,1,0,-46677862,-122767484669] 2 [433563090:-2534939233:54872]
35805j (4 curves)	0	3+ 5- 7- 11+ 31-	1 3+ 5- 7- 11+  2 -6  8
Curve Equation t 35805j1 [1,1,0,28,339] 2 35805j2 [1,1,0,-577,4816] 4 35805j3 [1,1,0,-1732,-22211] 2 35805j4 [1,1,0,-9102,330471] 2
35805k (6 curves)	0	3+ 5- 7- 11- 31+	-1 3+ 5- 7- 11- -2 -6  4
Curve Equation t 35805k1 [1,1,1,-28140,1645740] 4 35805k2 [1,1,1,-101345,-10623418] 8 35805k3 [1,1,1,179980,-58786258] 4 35805k4 [1,1,1,-1553950,-746222590] 4 35805k5 [1,1,1,-1486575,-813786240] 2 35805k6 [1,1,1,-24863005,-47727953848] 2
35805l (2 curves)	2	3- 5+ 7+ 11- 31-	-1 3- 5+ 7+ 11- -6 -2  2
Curve Equation t Generators 35805l1 [1,0,0,329,14480] 2 [11:-145:1]&[-98:793:8] 35805l2 [1,0,0,-7266,225621] 2 [141:-1488:1]&[-87:492:1]
35805m (2 curves)	1	3- 5+ 7- 11+ 31+	-1 3- 5+ 7- 11+  2 -2  6
Curve Equation t Generators 35805m1 [1,0,0,-496,4511] 2 [5:44:1] 35805m2 [1,0,0,-8091,279450] 2 [51:-15:1]
35805n (4 curves)	1	3- 5- 7+ 11+ 31+	1 3- 5- 7+ 11+ -2 -6  4
Curve Equation t Generators 35805n1 [1,0,1,-8793,308431] 2 [125:1017:1] 35805n2 [1,0,1,-20798,-719197] 4 [-81:700:1] 35805n3 [1,0,1,62747,-5030119] 4 [75:277:1] 35805n4 [1,0,1,-296423,-62128447] 2 [5142:26255:8]
35805o (4 curves)	0	3- 5- 7+ 11+ 31-	-1 3- 5- 7+ 11+ -2  2  0
Curve Equation t 35805o1 [1,0,0,185,-7120] 4 35805o2 [1,0,0,-4620,-115713] 4 35805o3 [1,0,0,-13145,431592] 2 35805o4 [1,0,0,-72975,-7593750] 2

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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