Cremona's table of elliptic curves

6786 = 2 · 3² · 13 · 29

Class	r	Atkin-Lehner	Eigenvalues
6786a (2 curves)	1	2+ 3+ 13+ 29+	2+ 3+  0  0  4 13+ -2  6
Curve Equation t Generators 6786a1 [1,-1,0,-102,-396] 2 [25:98:1] 6786a2 [1,-1,0,-1662,-25668] 2 [49:69:1]
6786b (1 curve)	1	2+ 3+ 13- 29-	2+ 3+  1 -1  0 13- -1  1
Curve Equation t Generators 6786b1 [1,-1,0,-3174,98612] 1 [37:157:1]
6786c (1 curve)	0	2+ 3- 13+ 29+	2+ 3-  3 -3  4 13+  1  0
Curve Equation t 6786c1 [1,-1,0,387,837] 1
6786d (1 curve)	1	2+ 3- 13- 29+	2+ 3- -1 -3 -2 13-  1  5
Curve Equation t Generators 6786d1 [1,-1,0,-7470,-294998] 1 [1223:42035:1]
6786e (6 curves)	1	2+ 3- 13- 29+	2+ 3-  2  0  4 13- -2 -4
Curve Equation t Generators 6786e1 [1,-1,0,1989,20965] 2 [215:3110:1] 6786e2 [1,-1,0,-9531,189157] 4 [11:287:1] 6786e3 [1,-1,0,-72171,-7315115] 2 [-142:305:1] 6786e4 [1,-1,0,-131211,18319477] 4 [-118:5729:1] 6786e5 [1,-1,0,-2099151,1171138729] 2 [800:1427:1] 6786e6 [1,-1,0,-110151,24380545] 2 [-105:5950:1]
6786f (1 curve)	1	2+ 3- 13- 29+	2+ 3-  2 -2  1 13-  7 -2
Curve Equation t Generators 6786f1 [1,-1,0,-2511,-54675] 1 [453:9345:1]
6786g (1 curve)	0	2+ 3- 13- 29-	2+ 3-  2 -2 -3 13- -5 -6
Curve Equation t 6786g1 [1,-1,0,-468171,-123186875] 1
6786h (2 curves)	1	2- 3+ 13+ 29-	2- 3+  0  0 -4 13+  2  6
Curve Equation t Generators 6786h1 [1,-1,1,-920,11611] 2 [17:17:1] 6786h2 [1,-1,1,-14960,707995] 2 [-125:845:1]
6786i (1 curve)	1	2- 3+ 13- 29+	2- 3+ -1 -1  0 13-  1  1
Curve Equation t Generators 6786i1 [1,-1,1,-353,-3535] 1 [27:64:1]
6786j (1 curve)	1	2- 3- 13+ 29+	2- 3-  0  0 -3 13+  5 -6
Curve Equation t Generators 6786j1 [1,-1,1,-5,-61] 1 [54:77:8]
6786k (2 curves)	1	2- 3- 13+ 29+	2- 3-  0  0  4 13+ -2 -6
Curve Equation t Generators 6786k1 [1,-1,1,-10116590,12831293693] 2 [-2439:152851:1] 6786k2 [1,-1,1,-163470830,804507222269] 2 [7353:499:1]
6786l (1 curve)	1	2- 3- 13+ 29+	2- 3-  3 -3 -2 13+ -5  3
Curve Equation t Generators 6786l1 [1,-1,1,229,-61] 1 [21:106:1]
6786m (2 curves)	0	2- 3- 13+ 29-	2- 3-  4 -4 -4 13+  2  6
Curve Equation t 6786m1 [1,-1,1,-608,-6141] 2 6786m2 [1,-1,1,-9968,-380541] 2
6786n (1 curve)	0	2- 3- 13- 29+	2- 3- -1 -1  6 13-  7 -2
Curve Equation t 6786n1 [1,-1,1,-96818,-11576527] 1
6786o (2 curves)	0	2- 3- 13- 29+	2- 3-  2  2  0 13- -2  4
Curve Equation t 6786o1 [1,-1,1,-59,155] 2 6786o2 [1,-1,1,121,803] 2
6786p (4 curves)	0	2- 3- 13- 29+	2- 3-  2  4  4 13- -2  4
Curve Equation t 6786p1 [1,-1,1,-18014,42221] 2 6786p2 [1,-1,1,-202334,34989293] 4 6786p3 [1,-1,1,-3234974,2240325101] 2 6786p4 [1,-1,1,-118814,64054253] 2
6786q (1 curve)	0	2- 3- 13- 29+	2- 3-  4  4  1 13-  7 -2
Curve Equation t 6786q1 [1,-1,1,52492,35110509] 1
6786r (2 curves)	1	2- 3- 13- 29-	2- 3-  0 -4 -3 13-  3  2
Curve Equation t Generators 6786r1 [1,-1,1,760,-5461] 1 [33:217:1] 6786r2 [1,-1,1,-8015,360983] 3 [-39:802:1]
6786s (1 curve)	1	2- 3- 13- 29-	2- 3-  1  1 -2 13- -5  1
Curve Equation t Generators 6786s1 [1,-1,1,-1562,208473] 1 [227:3279:1]
6786t (2 curves)	1	2- 3- 13- 29-	2- 3- -3 -1  0 13- -3  8
Curve Equation t Generators 6786t1 [1,-1,1,-3389,-75121] 1 [566:1221:8] 6786t2 [1,-1,1,3046,-317311] 3 [616527:17646229:729]

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