Cremona's table of elliptic curves

33768 = 2³ · 3² · 7 · 67

Class	r	Atkin-Lehner	Eigenvalues
33768a (2 curves)	1	2+ 3+ 7- 67-	2+ 3+ -2 7-  0 -2  4 -4
Curve Equation t Generators 33768a1 [0,0,0,-29511,1951290] 2 [115:280:1] 33768a2 [0,0,0,-28971,2026134] 2 [-9:1512:1]
33768b (1 curve)	1	2+ 3+ 7- 67-	2+ 3+ -2 7- -1  1 -6  0
Curve Equation t Generators 33768b1 [0,0,0,9,19] 1 [-1:3:1]
33768c (2 curves)	1	2+ 3+ 7- 67-	2+ 3+ -2 7- -6  6 -6  0
Curve Equation t Generators 33768c1 [0,0,0,-17795900286,-913751407729575] 2 [260728:110319587:1] 33768c2 [0,0,0,-17795294271,-913816752266574] 2 [93317290769:-39484635655276:357911]
33768d (1 curve)	0	2+ 3- 7+ 67+	2+ 3-  3 7+  4 -1  2 -4
Curve Equation t 33768d1 [0,0,0,-111,2] 1
33768e (1 curve)	1	2+ 3- 7+ 67-	2+ 3-  1 7+  4  5  0 -4
Curve Equation t Generators 33768e1 [0,0,0,-11322,280233] 1 [-92:737:1]
33768f (1 curve)	1	2+ 3- 7- 67+	2+ 3-  1 7-  0  5  6 -4
Curve Equation t Generators 33768f1 [0,0,0,-118767,-15753278] 1 [-198:14:1]
33768g (1 curve)	1	2+ 3- 7- 67+	2+ 3- -2 7-  3 -3 -6  4
Curve Equation t Generators 33768g1 [0,0,0,-111,1811] 1 [19:81:1]
33768h (4 curves)	1	2+ 3- 7- 67+	2+ 3- -2 7-  4 -6 -2  8
Curve Equation t Generators 33768h1 [0,0,0,-12666,548665] 2 [53:162:1] 33768h2 [0,0,0,-12711,544570] 4 [395:7560:1] 33768h3 [0,0,0,-1371,1481254] 2 [3106:61695:8] 33768h4 [0,0,0,-24771,-654194] 2 [-121:756:1]
33768i (2 curves)	1	2+ 3- 7- 67+	2+ 3- -2 7- -6  2  0 -4
Curve Equation t Generators 33768i1 [0,0,0,-1326,22489] 2 [20:-63:1] 33768i2 [0,0,0,-22431,1293010] 2 [-157:972:1]
33768j (1 curve)	0	2+ 3- 7- 67-	2+ 3-  1 7-  2  1 -6  6
Curve Equation t 33768j1 [0,0,0,-4107,101302] 1
33768k (2 curves)	0	2+ 3- 7- 67-	2+ 3- -2 7-  2 -2  0  0
Curve Equation t 33768k1 [0,0,0,-1326,-18335] 2 33768k2 [0,0,0,-111,-50654] 2
33768l (2 curves)	0	2- 3+ 7- 67-	2- 3+  2 7-  0 -2 -4 -4
Curve Equation t 33768l1 [0,0,0,-3279,-72270] 2 33768l2 [0,0,0,-3219,-75042] 2
33768m (1 curve)	0	2- 3+ 7- 67-	2- 3+  2 7-  1  1  6  0
Curve Equation t 33768m1 [0,0,0,81,-513] 1
33768n (2 curves)	0	2- 3+ 7- 67-	2- 3+  2 7-  6  6  6  0
Curve Equation t 33768n1 [0,0,0,-1977322254,33842644730725] 2 33768n2 [0,0,0,-1977254919,33845064898762] 2
33768o (1 curve)	1	2- 3- 7+ 67+	2- 3-  2 7+ -5 -5  6 -4
Curve Equation t Generators 33768o1 [0,0,0,-2379,44683] 1 [29:9:1]
33768p (2 curves)	0	2- 3- 7+ 67-	2- 3-  0 7+  4  4 -2 -6
Curve Equation t 33768p1 [0,0,0,225,-25758] 2 33768p2 [0,0,0,-11835,-481626] 2
33768q (1 curve)	0	2- 3- 7+ 67-	2- 3-  3 7+ -2 -5 -2  6
Curve Equation t 33768q1 [0,0,0,-1251,15822] 1
33768r (1 curve)	0	2- 3- 7+ 67-	2- 3- -3 7+  4  1 -2  0
Curve Equation t 33768r1 [0,0,0,-32814,-2287899] 1
33768s (1 curve)	0	2- 3- 7+ 67-	2- 3- -3 7+  4  1  4  0
Curve Equation t 33768s1 [0,0,0,-86274,9753669] 1
33768t (1 curve)	0	2- 3- 7- 67+	2- 3-  0 7-  3  5  2  2
Curve Equation t 33768t1 [0,0,0,-75,-317] 1
33768u (1 curve)	0	2- 3- 7- 67+	2- 3-  4 7- -3  1  6 -2
Curve Equation t 33768u1 [0,0,0,-17463,-924905] 1
33768v (2 curves)	1	2- 3- 7- 67-	2- 3-  0 7-  0 -4  2 -6
Curve Equation t Generators 33768v1 [0,0,0,-107715,-13615954] 2 [4914266:588065834:343] 33768v2 [0,0,0,-1723755,-871086778] 2 [5071361947834:-604878281025586:353393243]
33768w (1 curve)	1	2- 3- 7- 67-	2- 3- -1 7-  0  3  6  0
Curve Equation t Generators 33768w1 [0,0,0,-678,-3971] 1 [-18:49:1]
33768x (1 curve)	1	2- 3- 7- 67-	2- 3- -1 7-  0 -5  2  8
Curve Equation t Generators 33768x1 [0,0,0,-12078,-76491] 1 [-26:469:1]
33768y (1 curve)	1	2- 3- 7- 67-	2- 3-  2 7-  0  4 -1 -1
Curve Equation t Generators 33768y1 [0,0,0,36,1188] 1 [24:126:1]
33768z (1 curve)	1	2- 3- 7- 67-	2- 3-  3 7-  0 -1 -4  0
Curve Equation t Generators 33768z1 [0,0,0,-66,173] 1 [2:7:1]

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