Cremona's table of elliptic curves

33813 = 3² · 13 · 17²

Class	r	Atkin-Lehner	Eigenvalues
33813a (2 curves)	1	3+ 13+ 17+	1 3+  2  0  6 13+ 17+ -2
Curve Equation t Generators 33813a1 [1,-1,0,-921,310824] 2 [414919780:20508690054:166375] 33813a2 [1,-1,0,-74616,7783497] 2 [9976:991007:1]
33813b (2 curves)	1	3+ 13+ 17+	1 3+ -2  0 -6 13+ 17+ -2
Curve Equation t Generators 33813b1 [1,-1,0,-3,64] 2 [0:8:1] 33813b2 [1,-1,0,-258,1645] 2 [-4:53:1]
33813c (2 curves)	1	3+ 13+ 17+	-1 3+  2  0  6 13+ 17+ -2
Curve Equation t Generators 33813c1 [1,-1,1,-29,-1700] 2 [1630:-341:125] 33813c2 [1,-1,1,-2324,-42092] 2 [56:4:1]
33813d (2 curves)	1	3+ 13+ 17+	-1 3+ -2  0 -6 13+ 17+ -2
Curve Equation t Generators 33813d1 [1,-1,1,-8291,-8383958] 2 [3723286:49270819:12167] 33813d2 [1,-1,1,-671546,-209482874] 2 [1286:31798:1]
33813e (2 curves)	0	3- 13+ 17+	1 3-  0  2 -2 13+ 17+  0
Curve Equation t 33813e1 [1,-1,0,-85887,9207400] 2 33813e2 [1,-1,0,-254952,-38029361] 2
33813f (2 curves)	0	3- 13+ 17+	1 3-  2  0  0 13+ 17+ -8
Curve Equation t 33813f1 [1,-1,0,-666,-6345] 2 33813f2 [1,-1,0,-10611,-418068] 2
33813g (2 curves)	0	3- 13+ 17+	1 3- -2  0  0 13+ 17+ -8
Curve Equation t 33813g1 [1,-1,0,-192528,-31943021] 2 33813g2 [1,-1,0,-3066633,-2066234540] 2
33813h (2 curves)	0	3- 13+ 17+	1 3-  4  0  0 13+ 17+  4
Curve Equation t 33813h1 [1,-1,0,-487065915,4137175746328] 2 33813h2 [1,-1,0,-449702550,4798544670193] 2
33813i (2 curves)	0	3- 13+ 17+	1 3-  4  2  6 13+ 17+  8
Curve Equation t 33813i1 [1,-1,0,-1905720,-1010469277] 2 33813i2 [1,-1,0,-30477705,-64754567812] 2
33813j (2 curves)	0	3- 13+ 17+	1 3- -4  0  0 13+ 17+  4
Curve Equation t 33813j1 [1,-1,0,-1685349,842484024] 2 33813j2 [1,-1,0,-1556064,977069709] 2
33813k (2 curves)	0	3- 13+ 17+	-1 3-  2 -2 -6 13+ 17+  4
Curve Equation t 33813k1 [1,-1,1,-154814,-23404444] 2 33813k2 [1,-1,1,-141809,-27508822] 2
33813l (2 curves)	0	3- 13+ 17+	-1 3- -4 -2  6 13+ 17+  4
Curve Equation t 33813l1 [1,-1,1,-682817,217146440] 2 33813l2 [1,-1,1,-851882,101505980] 2
33813m (1 curve)	1	3- 13- 17+	1 3-  1 -3 -2 13- 17+  5
Curve Equation t Generators 33813m1 [1,-1,0,-54,81] 1 [0:9:1]
33813n (6 curves)	1	3- 13- 17+	1 3- -2  0  4 13- 17+ -4
Curve Equation t Generators 33813n1 [1,-1,0,-1401993,-638598816] 2 [210353253660:-98046014809238:970299] 33813n2 [1,-1,0,-1414998,-626137425] 4 [1001358:2800333:729] 33813n3 [1,-1,0,574767,-2248591806] 2 [3534:207780:1] 33813n4 [1,-1,0,-3612843,1793689920] 4 [1794624061860:-5564225171105:1137893184] 33813n5 [1,-1,0,10081422,12138337701] 2 [-981366699523539898860300:-12928827682423276900590293:922673436205977000000] 33813n6 [1,-1,0,-52472628,146291618079] 2 [244185390:9318148371:79507]
33813o (4 curves)	1	3- 13- 17+	-1 3-  2  4  4 13- 17+  0
Curve Equation t Generators 33813o1 [1,-1,1,1246,35768] 2 [13972:126960:343] 33813o2 [1,-1,1,-11759,425918] 4 [202:2401:1] 33813o3 [1,-1,1,-50774,-3974974] 2 [-132:709:1] 33813o4 [1,-1,1,-180824,29640350] 2 [-72:6538:1]
33813p (1 curve)	0	3- 13- 17-	1 3- -1  3  2 13- 17-  5
Curve Equation t 33813p1 [1,-1,0,-15660,335389] 1

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