Cremona's table of elliptic curves

12642 = 2 · 3 · 7² · 43

Class	r	Atkin-Lehner	Eigenvalues
12642a (1 curve)	1	2+ 3+ 7+ 43+	2+ 3+ -1 7+ -3 -2  0 -2
Curve Equation t Generators 12642a1 [1,1,0,-203963,36462651] 1 [265:921:1]
12642b (1 curve)	0	2+ 3+ 7+ 43-	2+ 3+ -4 7+  2 -4  0  0
Curve Equation t 12642b1 [1,1,0,5953,-19515] 1
12642c (2 curves)	0	2+ 3+ 7- 43+	2+ 3+  0 7- -4  4 -8 -4
Curve Equation t 12642c1 [1,1,0,-9732160,28835577856] 2 12642c2 [1,1,0,-212678400,1192407550272] 2
12642d (1 curve)	0	2+ 3+ 7- 43+	2+ 3+  1 7-  2  1  3 -5
Curve Equation t 12642d1 [1,1,0,-9482,281982] 1
12642e (1 curve)	0	2+ 3+ 7- 43+	2+ 3+ -1 7- -6 -1  7  1
Curve Equation t 12642e1 [1,1,0,-314703,39475269] 1
12642f (4 curves)	0	2+ 3+ 7- 43+	2+ 3+  2 7-  0  2 -2  4
Curve Equation t 12642f1 [1,1,0,661,-4227] 2 12642f2 [1,1,0,-3259,-41075] 4 12642f3 [1,1,0,-45399,-3740967] 2 12642f4 [1,1,0,-23839,1378945] 2
12642g (1 curve)	0	2+ 3+ 7- 43+	2+ 3+  3 7-  2 -5  7 -1
Curve Equation t 12642g1 [1,1,0,-1026,-13068] 1
12642h (2 curves)	1	2+ 3+ 7- 43-	2+ 3+  0 7-  0  2  2  0
Curve Equation t Generators 12642h1 [1,1,0,-44370,-3774924] 2 [545:11316:1] 12642h2 [1,1,0,-718610,-234769548] 2 [993:5163:1]
12642i (1 curve)	1	2+ 3+ 7- 43-	2+ 3+  3 7-  0 -7  5  3
Curve Equation t Generators 12642i1 [1,1,0,-718071,233906877] 1 [13161:-5380:27]
12642j (1 curve)	1	2+ 3+ 7- 43-	2+ 3+  3 7- -5  3  0 -7
Curve Equation t Generators 12642j1 [1,1,0,-711,-8343] 1 [38:127:1]
12642k (3 curves)	1	2+ 3+ 7- 43-	2+ 3+ -3 7-  0 -5 -3  7
Curve Equation t Generators 12642k1 [1,1,0,-7669,-255401] 1 [-57:53:1] 12642k2 [1,1,0,-80434,8655004] 1 [111:998:1] 12642k3 [1,1,0,-6496249,6370267429] 1 [11766:-5687:8]
12642l (2 curves)	1	2+ 3- 7- 43+	2+ 3-  0 7- -4 -4  8  4
Curve Equation t Generators 12642l1 [1,0,1,-198616,-84097114] 2 [649:7451:1] 12642l2 [1,0,1,-4340376,-3477026906] 2 [-1231:1587:1]
12642m (1 curve)	1	2+ 3- 7- 43+	2+ 3-  1 7- -3  2  0  2
Curve Equation t Generators 12642m1 [1,0,1,-4163,-106900] 1 [306:5071:1]
12642n (1 curve)	1	2+ 3- 7- 43+	2+ 3- -1 7-  1  3  0  7
Curve Equation t Generators 12642n1 [1,0,1,121,1418] 1 [-1:36:1]
12642o (1 curve)	1	2+ 3- 7- 43+	2+ 3- -1 7-  2 -1 -3  5
Curve Equation t Generators 12642o1 [1,0,1,-194,-850] 1 [-10:15:1]
12642p (1 curve)	1	2+ 3- 7- 43+	2+ 3- -1 7- -2  3 -3 -5
Curve Equation t Generators 12642p1 [1,0,1,-41284,3214250] 1 [88:470:1]
12642q (1 curve)	1	2+ 3- 7- 43+	2+ 3- -3 7-  2  5 -7  1
Curve Equation t Generators 12642q1 [1,0,1,-50300,4331450] 1 [102:463:1]
12642r (1 curve)	0	2+ 3- 7- 43-	2+ 3- -1 7-  0  1  3  5
Curve Equation t 12642r1 [1,0,1,-1839,22978] 1
12642s (2 curves)	0	2+ 3- 7- 43-	2+ 3-  2 7-  0 -2 -6 -4
Curve Equation t 12642s1 [1,0,1,-93910,-11065624] 2 12642s2 [1,0,1,-62550,-18566936] 2
12642t (1 curve)	0	2+ 3- 7- 43-	2+ 3-  4 7-  2  4  0  0
Curve Equation t 12642t1 [1,0,1,121,74] 1
12642u (1 curve)	1	2- 3+ 7- 43+	2- 3+ -1 7-  2  1  1  3
Curve Equation t Generators 12642u1 [1,1,1,-631,5837] 1 [13:0:1]
12642v (1 curve)	1	2- 3+ 7- 43+	2- 3+  3 7- -1 -6  4 -6
Curve Equation t Generators 12642v1 [1,1,1,881,-1387] 1 [43:322:1]
12642w (1 curve)	1	2- 3+ 7- 43+	2- 3+  3 7- -2  1 -3  5
Curve Equation t Generators 12642w1 [1,1,1,-4754,-117601] 1 [-43:119:1]
12642x (1 curve)	1	2- 3+ 7- 43+	2- 3+ -3 7-  2  3  1 -3
Curve Equation t Generators 12642x1 [1,1,1,-197,-883] 1 [-50:119:8]
12642y (1 curve)	0	2- 3+ 7- 43-	2- 3+  0 7-  2  0  4 -4
Curve Equation t 12642y1 [1,1,1,-78,237] 1
12642z (2 curves)	0	2- 3+ 7- 43-	2- 3+  1 7-  5  7 -4  1
Curve Equation t 12642z1 [1,1,1,7790,-588001] 1 12642z2 [1,1,1,-2935150,1934508239] 1
12642ba (2 curves)	0	2- 3+ 7- 43-	2- 3+ -2 7- -4 -2  2  4
Curve Equation t 12642ba1 [1,1,1,-99,-99] 2 12642ba2 [1,1,1,391,-295] 2
12642bb (1 curve)	0	2- 3+ 7- 43-	2- 3+  3 7-  3  2 -4 -6
Curve Equation t 12642bb1 [1,1,1,-9654,398859] 1
12642bc (1 curve)	0	2- 3+ 7- 43-	2- 3+  3 7- -4  3  7 -1
Curve Equation t 12642bc1 [1,1,1,-1262094,-111038901] 1
12642bd (1 curve)	1	2- 3- 7+ 43+	2- 3- -3 7+ -1  6 -4  6
Curve Equation t Generators 12642bd1 [1,0,0,43168,605184] 1 [298:-6470:1]
12642be (1 curve)	0	2- 3- 7+ 43-	2- 3-  0 7+  2  0 -4  4
Curve Equation t 12642be1 [1,0,0,-3823,-92821] 1
12642bf (1 curve)	0	2- 3- 7+ 43-	2- 3- -3 7+  3 -2  4  6
Curve Equation t 12642bf1 [1,0,0,-197,-1191] 1
12642bg (2 curves)	0	2- 3- 7- 43+	2- 3-  0 7- -4  2  2  8
Curve Equation t 12642bg1 [1,0,0,342,157716] 2 12642bg2 [1,0,0,-41798,3217080] 2
12642bh (1 curve)	0	2- 3- 7- 43+	2- 3-  1 7-  2 -1 -1 -3
Curve Equation t 12642bh1 [1,0,0,-30920,-2094912] 1
12642bi (4 curves)	0	2- 3- 7- 43+	2- 3-  2 7-  4 -6  6  4
Curve Equation t 12642bi1 [1,0,0,-1177,9785] 2 12642bi2 [1,0,0,-16857,840825] 4 12642bi3 [1,0,0,-269697,53886657] 2 12642bi4 [1,0,0,-14897,1044273] 2
12642bj (1 curve)	0	2- 3- 7- 43+	2- 3-  3 7-  2  5 -1 -1
Curve Equation t 12642bj1 [1,0,0,-288464,-59643648] 1
12642bk (1 curve)	0	2- 3- 7- 43+	2- 3- -3 7- -1 -1 -4 -1
Curve Equation t 12642bk1 [1,0,0,-2162077,-1223845771] 1
12642bl (1 curve)	0	2- 3- 7- 43+	2- 3- -3 7-  6 -1  3 -1
Curve Equation t 12642bl1 [1,0,0,-81553347,-168819111231] 1
12642bm (1 curve)	1	2- 3- 7- 43-	2- 3- -1 7- -4  3  1  1
Curve Equation t Generators 12642bm1 [1,0,0,-538511,135262329] 1 [-710:12997:1]

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