Cremona's table of elliptic curves

33306 = 2 · 3 · 7 · 13 · 61

Class	r	Atkin-Lehner	Eigenvalues
33306a (2 curves)	1	2+ 3+ 7+ 13+ 61+	2+ 3+  0 7+ -4 13+ -2 -4
Curve Equation t Generators 33306a1 [1,1,0,-570635,-151642563] 2 [2729:135107:1] 33306a2 [1,1,0,-2052395,962937309] 2 [3753035:174723577:1331]
33306b (4 curves)	0	2+ 3+ 7- 13+ 61+	2+ 3+  2 7- -4 13+  2 -4
Curve Equation t 33306b1 [1,1,0,-50818274,139415806068] 2 33306b2 [1,1,0,-50900194,138943668340] 4 33306b3 [1,1,0,-19941474,306275549940] 2 33306b4 [1,1,0,-83169634,-58603389452] 2
33306c (2 curves)	1	2+ 3+ 7- 13+ 61-	2+ 3+  0 7-  4 13+  0 -2
Curve Equation t Generators 33306c1 [1,1,0,-800,-8448] 2 [-17:33:1] 33306c2 [1,1,0,-12560,-547056] 2 [-65:33:1]
33306d (2 curves)	1	2+ 3+ 7- 13- 61+	2+ 3+  0 7-  4 13-  0  0
Curve Equation t Generators 33306d1 [1,1,0,-745,-7931] 2 [-17:22:1] 33306d2 [1,1,0,215,-25787] 2 [42:223:1]
33306e (1 curve)	0	2+ 3- 7+ 13+ 61+	2+ 3-  1 7+  0 13+ -4  7
Curve Equation t 33306e1 [1,0,1,8137,-28390] 1
33306f (1 curve)	0	2+ 3- 7+ 13+ 61+	2+ 3- -3 7+  6 13+  3 -2
Curve Equation t 33306f1 [1,0,1,-21923802415,-1249460610458590] 1
33306g (1 curve)	1	2+ 3- 7+ 13- 61+	2+ 3- -3 7+  2 13- -1  6
Curve Equation t Generators 33306g1 [1,0,1,-10688161450,425312031019292] 1 [1721844966:-24681809408:29791]
33306h (2 curves)	0	2+ 3- 7- 13+ 61-	2+ 3-  2 7- -4 13+  0 -2
Curve Equation t 33306h1 [1,0,1,-474540,125768938] 2 33306h2 [1,0,1,-514860,103125226] 2
33306i (2 curves)	0	2+ 3- 7- 13- 61+	2+ 3-  2 7-  0 13-  4  4
Curve Equation t 33306i1 [1,0,1,-1040,-6946] 2 33306i2 [1,0,1,3440,-49954] 2
33306j (2 curves)	1	2+ 3- 7- 13- 61-	2+ 3-  0 7- -4 13- -2  4
Curve Equation t Generators 33306j1 [1,0,1,-31,-34] 2 [-2:5:1] 33306j2 [1,0,1,-241,1394] 2 [12:10:1]
33306k (4 curves)	1	2+ 3- 7- 13- 61-	2+ 3- -2 7- -4 13-  2  8
Curve Equation t Generators 33306k1 [1,0,1,-1242,11404] 2 [-19:177:1] 33306k2 [1,0,1,-7722,-252980] 4 [-55:105:1] 33306k3 [1,0,1,3258,-911780] 4 [128:1203:1] 33306k4 [1,0,1,-122382,-16488836] 2 [-202:105:1]
33306l (1 curve)	1	2- 3+ 7+ 13+ 61-	2- 3+  1 7+  0 13+  0  5
Curve Equation t Generators 33306l1 [1,1,1,-383390,91234523] 1 [377:487:1]
33306m (2 curves)	1	2- 3+ 7+ 13+ 61-	2- 3+ -2 7+  0 13+  0  8
Curve Equation t Generators 33306m1 [1,1,1,-144,-723] 2 [-58:37:8] 33306m2 [1,1,1,-74,-1339] 2 [390:2501:8]
33306n (2 curves)	1	2- 3+ 7+ 13- 61+	2- 3+ -2 7+  0 13-  0  0
Curve Equation t Generators 33306n1 [1,1,1,-2624,-52063] 2 [-31:41:1] 33306n2 [1,1,1,-104,-144799] 2 [95:797:1]
33306o (2 curves)	0	2- 3+ 7- 13+ 61-	2- 3+  4 7-  4 13+  0  2
Curve Equation t 33306o1 [1,1,1,-82954171,289355515721] 2 33306o2 [1,1,1,-131123131,-85302655159] 2
33306p (2 curves)	0	2- 3+ 7- 13- 61+	2- 3+  4 7-  4 13-  8  4
Curve Equation t 33306p1 [1,1,1,-6703066,-6682514329] 2 33306p2 [1,1,1,-6694426,-6700589209] 2
33306q (2 curves)	0	2- 3- 7+ 13+ 61-	2- 3- -2 7+ -4 13+  8  6
Curve Equation t 33306q1 [1,0,0,-21314,-692160] 2 33306q2 [1,0,0,-299144,-62981646] 2
33306r (1 curve)	2	2- 3- 7+ 13+ 61-	2- 3- -3 7+ -6 13+ -3 -6
Curve Equation t Generators 33306r1 [1,0,0,-3987,120609] 1 [12:-279:1]&[-66:345:1]
33306s (4 curves)	0	2- 3- 7- 13- 61-	2- 3-  0 7-  0 13- -6  2
Curve Equation t 33306s1 [1,0,0,-2288,32448] 6 33306s2 [1,0,0,5272,203304] 6 33306s3 [1,0,0,-60788,-5771220] 2 33306s4 [1,0,0,-50498,-7786002] 2
33306t (2 curves)	0	2- 3- 7- 13- 61-	2- 3- -3 7-  6 13- -3  2
Curve Equation t 33306t1 [1,0,0,-32,-84936] 3 33306t2 [1,0,0,-147062,-21720654] 1

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

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