Cremona's table of elliptic curves

123627 = 3 · 7² · 29²

Class	r	Atkin-Lehner	Eigenvalues
123627a (2 curves)	1	3+ 7+ 29+	-2 3+ -2 7+  2  1  0 -1
Curve Equation t Generators 123627a1 [0,-1,1,-96154,12502734] 1 [-19:3784:1] 123627a2 [0,-1,1,-37596344,-88787947186] 1 [37127809915940694288:84512684442731696305051:7165615654639]
123627b (1 curve)	0	3+ 7+ 29-	1 3+  0 7+  6 -3  4  3
Curve Equation t 123627b1 [1,1,0,-124485,30954708] 1
123627c (1 curve)	0	3+ 7+ 29-	2 3+ -2 7+ -2  1 -4 -4
Curve Equation t 123627c1 [0,-1,1,-96154,-17785881] 1
123627d (1 curve)	0	3+ 7- 29+	1 3+ -1 7-  2  2  5  2
Curve Equation t 123627d1 [1,1,0,-858,-7461] 1
123627e (6 curves)	0	3+ 7- 29+	1 3+  2 7- -4  2  2 -4
Curve Equation t 123627e1 [1,1,0,-32308714,-75694250393] 2 123627e2 [1,1,0,-527022759,-4657043135520] 4 123627e3 [1,1,0,-537118964,-4469344588365] 4 123627e4 [1,1,0,-8432351274,-298041176049903] 2 123627e5 [1,1,0,514328671,-19833307720512] 2 123627e6 [1,1,0,-1750105879,22907527485802] 2
123627f (2 curves)	0	3+ 7- 29+	-1 3+  0 7-  0  6 -2  0
Curve Equation t 123627f1 [1,1,1,-21463,-26315500] 2 123627f2 [1,1,1,-1463778,-675934176] 2
123627g (1 curve)	0	3+ 7- 29+	-1 3+  0 7- -6  3  4  3
Curve Equation t 123627g1 [1,1,1,-7253,-439090] 1
123627h (2 curves)	0	3+ 7- 29+	-1 3+  2 7-  0 -4  0 -4
Curve Equation t 123627h1 [1,1,1,-4801707,-4046500704] 2 123627h2 [1,1,1,-6244022,-1416871996] 2
123627i (1 curve)	2	3+ 7- 29+	-1 3+ -2 7-  1 -4  1 -1
Curve Equation t Generators 123627i1 [1,1,1,-1569,24156] 1 [-22:231:1]&[27:35:1]
123627j (1 curve)	0	3+ 7- 29+	-1 3+  3 7-  6  6  1 -6
Curve Equation t 123627j1 [1,1,1,-53409854,-136552275322] 1
123627k (1 curve)	2	3+ 7- 29+	2 3+  1 7- -2 -7  4 -4
Curve Equation t Generators 123627k1 [0,-1,1,-25510,-1007931] 1 [1994:22703:8]&[-7484:38497:64]
123627l (1 curve)	0	3+ 7- 29+	-2 3+  2 7-  2 -1 -4 -4
Curve Equation t 123627l1 [0,-1,1,-1650322,1267493394] 1
123627m (1 curve)	0	3+ 7- 29+	-2 3+ -4 7- -4 -1  2 -1
Curve Equation t 123627m1 [0,-1,1,-673080,2979633152] 1
123627n (1 curve)	2	3- 7+ 29+	-1 3-  0 7+ -6 -3 -4 -3
Curve Equation t Generators 123627n1 [1,0,0,-148,1259] 1 [-122:103:8]&[11:26:1]
123627o (1 curve)	0	3- 7+ 29+	2 3- -1 7+ -2  7 -4  4
Curve Equation t 123627o1 [0,1,1,-1250006,348220247] 1
123627p (1 curve)	0	3- 7+ 29+	-2 3- -2 7+  2  1  4  4
Curve Equation t 123627p1 [0,1,1,-80865794,-434588502652] 1
123627q (1 curve)	0	3- 7+ 29+	-2 3-  4 7+ -4  1 -2  1
Curve Equation t 123627q1 [0,1,1,-13736,-8690902] 1
123627r (6 curves)	1	3- 7- 29+	1 3-  2 7- -4  2 -6  4
Curve Equation t Generators 123627r1 [1,0,1,40350,690799] 2 [4918:126015:8] 123627r2 [1,0,1,-165695,5553461] 4 [37311858:771557765:54872] 123627r3 [1,0,1,-1608010,-780219751] 2 [-255521:846644:343] 123627r4 [1,0,1,-2020100,1103361221] 4 [224148424062126:2095940995844683:220567826088] 123627r5 [1,0,1,-1401965,1791469103] 2 [3953980065851040320217673554:303132514955638332192541824181:8643979664580377164739544] 123627r6 [1,0,1,-32308715,70682367599] 2 [3457542720893547027644226222:-237246622272147034997398453:1049029582360661946063144]
123627s (2 curves)	1	3- 7- 29+	-1 3- -2 7-  0  4  0  4
Curve Equation t Generators 123627s1 [1,0,0,-97994,11783379] 2 [193:166:1] 123627s2 [1,0,0,-127429,4112618] 2 [-307:3938:1]
123627t (2 curves)	1	3- 7- 29+	-2 3-  2 7-  2 -1  0  1
Curve Equation t Generators 123627t1 [0,1,1,-1962,-37012] 1 [174513:14030810:27] 123627t2 [0,1,1,-767272,258637768] 1 [599:3784:1]
123627u (1 curve)	0	3- 7- 29-	1 3-  0 7-  6  3 -4 -3
Curve Equation t 123627u1 [1,0,1,-6099791,-10635764191] 1
123627v (1 curve)	2	3- 7- 29-	1 3- -2 7- -1 -4 -1  1
Curve Equation t Generators 123627v1 [1,0,1,-1319547,604979575] 1 [-7850:251175:8]&[599:5139:1]
123627w (1 curve)	0	3- 7- 29-	1 3-  3 7- -6  6 -1  6
Curve Equation t 123627w1 [1,0,1,-44917687232,-3329834430577147] 1
123627x (1 curve)	0	3- 7- 29-	-1 3- -1 7- -2  2 -5 -2
Curve Equation t 123627x1 [1,0,0,-722016,-173303901] 1
123627y (1 curve)	0	3- 7- 29-	2 3-  2 7- -2 -1  4  4
Curve Equation t 123627y1 [0,1,1,-1962,51293] 1

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