Cremona's table of elliptic curves

3366 = 2 · 3² · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
3366a (2 curves)	1	2+ 3+ 11+ 17+	2+ 3+  0  4 11+  4 17+ -4
Curve Equation t Generators 3366a1 [1,-1,0,-312,2060] 2 [7:10:1] 3366a2 [1,-1,0,-4902,133334] 2 [41:-17:1]
3366b (2 curves)	0	2+ 3- 11+ 17+	2+ 3- -2 -2 11+  4 17+ -2
Curve Equation t 3366b1 [1,-1,0,-3706083,2640481429] 2 3366b2 [1,-1,0,-9972963,-8638649195] 2
3366c (4 curves)	0	2+ 3- 11+ 17+	2+ 3- -2  4 11+ -2 17+  4
Curve Equation t 3366c1 [1,-1,0,-3483,-78251] 2 3366c2 [1,-1,0,-3663,-69575] 4 3366c3 [1,-1,0,-17433,825475] 2 3366c4 [1,-1,0,7227,-411521] 2
3366d (2 curves)	1	2+ 3- 11+ 17-	2+ 3-  0  2 11+  4 17- -8
Curve Equation t Generators 3366d1 [1,-1,0,-1782,-28512] 2 [57:201:1] 3366d2 [1,-1,0,-1692,-31590] 2 [87:645:1]
3366e (4 curves)	1	2+ 3- 11+ 17-	2+ 3-  0  2 11+ -4 17-  8
Curve Equation t Generators 3366e1 [1,-1,0,-1849032,958443840] 2 [3969:234936:1] 3366e2 [1,-1,0,-374472,2443915584] 2 [-1095:39792:1] 3366e3 [1,-1,0,-149351112,702560755008] 6 [30225592600272:50295259097667:4220112896] 3366e4 [1,-1,0,-149349672,702574979040] 6 [5261064:254800995:512]
3366f (2 curves)	1	2+ 3- 11+ 17-	2+ 3-  2  0 11+ -4 17- -4
Curve Equation t Generators 3366f1 [1,-1,0,-81,157] 2 [-6:23:1] 3366f2 [1,-1,0,279,949] 2 [5:47:1]
3366g (2 curves)	1	2+ 3- 11+ 17-	2+ 3- -4 -2 11+  0 17-  0
Curve Equation t Generators 3366g1 [1,-1,0,-1764,28944] 2 [16:60:1] 3366g2 [1,-1,0,-1404,40824] 2 [-9:234:1]
3366h (6 curves)	1	2+ 3- 11- 17+	2+ 3-  2  0 11- -2 17+ -4
Curve Equation t Generators 3366h1 [1,-1,0,-2556,-37040] 2 [-37:95:1] 3366h2 [1,-1,0,-14076,614992] 4 [-88:1124:1] 3366h3 [1,-1,0,-222156,40358272] 4 [204:1768:1] 3366h4 [1,-1,0,9684,2463520] 2 [-55:1355:1] 3366h5 [1,-1,0,-3554496,2580267820] 2 [1095:-190:1] 3366h6 [1,-1,0,-219096,41521684] 2 [125:3947:1]
3366i (2 curves)	1	2+ 3- 11- 17+	2+ 3- -2 -2 11-  4 17+  2
Curve Equation t Generators 3366i1 [1,-1,0,-108,-324] 2 [-6:12:1] 3366i2 [1,-1,0,-1638,-25110] 2 [-23:12:1]
3366j (4 curves)	1	2+ 3- 11- 17+	2+ 3- -2  4 11- -2 17+ -4
Curve Equation t Generators 3366j1 [1,-1,0,-52623,3646701] 2 [183:255:1] 3366j2 [1,-1,0,-789903,270394605] 4 [382:4737:1] 3366j3 [1,-1,0,-12638223,17296430445] 2 [2065:-70:1] 3366j4 [1,-1,0,-738063,307377261] 2 [-21:17979:1]
3366k (2 curves)	0	2+ 3- 11- 17-	2+ 3-  2 -4 11- -4 17- -8
Curve Equation t 3366k1 [1,-1,0,-8136,-278208] 2 3366k2 [1,-1,0,-2376,-668736] 2
3366l (2 curves)	0	2- 3+ 11- 17-	2- 3+  0  4 11-  4 17- -4
Curve Equation t 3366l1 [1,-1,1,-35,-65] 2 3366l2 [1,-1,1,-545,-4757] 2
3366m (4 curves)	0	2- 3- 11+ 17-	2- 3-  2  0 11+  2 17- -4
Curve Equation t 3366m1 [1,-1,1,-59999,-4240569] 4 3366m2 [1,-1,1,-892319,-324184377] 4 3366m3 [1,-1,1,-14276759,-20759547369] 2 3366m4 [1,-1,1,-824999,-375212937] 2
3366n (2 curves)	0	2- 3- 11+ 17-	2- 3-  2 -2 11+  0 17-  6
Curve Equation t 3366n1 [1,-1,1,-4919,-128689] 2 3366n2 [1,-1,1,-11039,260543] 2
3366o (4 curves)	0	2- 3- 11+ 17-	2- 3- -2  4 11+  6 17-  4
Curve Equation t 3366o1 [1,-1,1,-74516,7063287] 4 3366o2 [1,-1,1,-282596,-50200329] 4 3366o3 [1,-1,1,-4355456,-3497469033] 2 3366o4 [1,-1,1,460984,-270300009] 2
3366p (2 curves)	1	2- 3- 11- 17-	2- 3-  0 -2 11- -2 17- -4
Curve Equation t Generators 3366p1 [1,-1,1,-290,289] 2 [-7:47:1] 3366p2 [1,-1,1,1150,1441] 2 [7:95:1]
3366q (2 curves)	1	2- 3- 11- 17-	2- 3- -2 -2 11-  0 17- -2
Curve Equation t Generators 3366q1 [1,-1,1,-2381,2805] 2 [-37:216:1] 3366q2 [1,-1,1,-26861,1696821] 2 [107:144:1]

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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