Cremona's table of elliptic curves

77350 = 2 · 5² · 7 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
77350a (1 curve)	1	2+ 5+ 7+ 13+ 17+	2+  0 5+ 7+  3 13+ 17+ -7
Curve Equation t Generators 77350a1 [1,-1,0,28,326] 1 [-5:9:1]
77350b (1 curve)	1	2+ 5+ 7+ 13+ 17+	2+  1 5+ 7+  1 13+ 17+  1
Curve Equation t Generators 77350b1 [1,0,1,-16901,-13619552] 1 [121681:1656138:343]
77350c (4 curves)	1	2+ 5+ 7+ 13+ 17+	2+  2 5+ 7+  0 13+ 17+ -4
Curve Equation t Generators 77350c1 [1,1,0,-118450,15448500] 2 [-396:870:1] 77350c2 [1,1,0,-14450,41760500] 2 [-9717:24140:27] 77350c3 [1,1,0,-968450,-359537500] 2 [-43672216:-9217054:68921] 77350c4 [1,1,0,130050,-1127389000] 2 [926759382042777:-5960731087175737:917480004813]
77350d (4 curves)	2	2+ 5+ 7+ 13+ 17-	2+  0 5+ 7+ -4 13+ 17-  0
Curve Equation t Generators 77350d1 [1,-1,0,-11417,443741] 2 [25:404:1]&[-658:7579:8] 77350d2 [1,-1,0,-35917,-2079759] 4 [350:-5479:1]&[-136:593:1] 77350d3 [1,-1,0,77833,-12658509] 2 [189:2868:1]&[783:22584:1] 77350d4 [1,-1,0,-541667,-153299009] 2 [-425:304:1]&[979:15448:1]
77350e (1 curve)	0	2+ 5+ 7+ 13+ 17-	2+  0 5+ 7+ -5 13+ 17-  5
Curve Equation t 77350e1 [1,-1,0,-11417,2172461] 1
77350f (3 curves)	0	2+ 5+ 7+ 13+ 17-	2+  2 5+ 7+  0 13+ 17-  2
Curve Equation t 77350f1 [1,1,0,-8725,310125] 1 77350f2 [1,1,0,2275,1035125] 1 77350f3 [1,1,0,-20475,-27971125] 1
77350g (1 curve)	0	2+ 5+ 7+ 13- 17+	2+  0 5+ 7+  5 13- 17+  3
Curve Equation t 77350g1 [1,-1,0,-638807,-202612579] 1
77350h (1 curve)	0	2+ 5+ 7+ 13- 17+	2+ -3 5+ 7+ -3 13- 17+  4
Curve Equation t 77350h1 [1,-1,0,-623092,-189211184] 1
77350i (1 curve)	1	2+ 5+ 7+ 13- 17-	2+  1 5+ 7+  1 13- 17-  8
Curve Equation t Generators 77350i1 [1,0,1,-3476,110098] 1 [112:1006:1]
77350j (4 curves)	0	2+ 5+ 7- 13+ 17+	2+  0 5+ 7-  0 13+ 17+  0
Curve Equation t 77350j1 [1,-1,0,-32229167,56274445741] 2 77350j2 [1,-1,0,-163301167,-753619442259] 4 77350j3 [1,-1,0,144026833,-3260493938259] 2 77350j4 [1,-1,0,-2567781167,-50081526642259] 2
77350k (4 curves)	0	2+ 5+ 7- 13+ 17+	2+  0 5+ 7-  4 13+ 17+ -4
Curve Equation t 77350k1 [1,-1,0,-22967,-1249059] 2 77350k2 [1,-1,0,-360967,-83383059] 4 77350k3 [1,-1,0,-354467,-86535559] 2 77350k4 [1,-1,0,-5775467,-5340862559] 2
77350l (1 curve)	0	2+ 5+ 7- 13+ 17+	2+  2 5+ 7-  1 13+ 17+  4
Curve Equation t 77350l1 [1,1,0,72800,-12876000] 1
77350m (1 curve)	1	2+ 5+ 7- 13+ 17-	2+ -1 5+ 7- -1 13+ 17-  1
Curve Equation t Generators 77350m1 [1,1,0,1475,-71875] 1 [250:3875:1]
77350n (1 curve)	1	2+ 5+ 7- 13+ 17-	2+ -1 5+ 7-  5 13+ 17-  4
Curve Equation t Generators 77350n1 [1,1,0,943850,449367500] 1 [-325:10575:1]
77350o (1 curve)	1	2+ 5+ 7- 13+ 17-	2+ -2 5+ 7-  5 13+ 17- -1
Curve Equation t Generators 77350o1 [1,0,1,454,3948] 1 [-4:47:1]
77350p (1 curve)	0	2+ 5+ 7- 13- 17-	2+  2 5+ 7- -1 13- 17- -3
Curve Equation t 77350p1 [1,1,0,8425,420875] 1
77350q (2 curves)	2	2+ 5+ 7- 13- 17-	2+ -2 5+ 7-  2 13- 17- -6
Curve Equation t Generators 77350q1 [1,0,1,-8151,-233302] 2 [-1311:6592:27]&[-68:121:1] 77350q2 [1,0,1,16349,-1360302] 2 [72:401:1]&[87:806:1]
77350r (1 curve)	0	2+ 5+ 7- 13- 17-	2+ -2 5+ 7-  4 13- 17-  6
Curve Equation t 77350r1 [1,0,1,1049899,-137773152] 1
77350s (1 curve)	1	2+ 5- 7+ 13- 17+	2+ -2 5- 7+ -1 13- 17+  7
Curve Equation t Generators 77350s1 [1,0,1,424,156798] 1 [-48:186:1]
77350t (1 curve)	1	2+ 5- 7+ 13- 17+	2+ -2 5- 7+  3 13- 17+  3
Curve Equation t Generators 77350t1 [1,0,1,21379299,-126516387202] 1 [94287485110:2830304874443:24389000]
77350u (1 curve)	0	2+ 5- 7- 13+ 17-	2+  2 5- 7- -3 13+ 17-  4
Curve Equation t 77350u1 [1,1,0,-81200,-1360096000] 1
77350v (1 curve)	0	2- 5+ 7+ 13+ 17+	2-  1 5+ 7+ -3 13+ 17+ -3
Curve Equation t 77350v1 [1,0,0,-2500063,1900340617] 1
77350w (2 curves)	0	2- 5+ 7+ 13+ 17+	2- -1 5+ 7+  3 13+ 17+  8
Curve Equation t 77350w1 [1,1,1,-7803088,8391115281] 1 77350w2 [1,1,1,7116537,35111910781] 1
77350x (2 curves)	0	2- 5+ 7+ 13+ 17+	2- -2 5+ 7+ -2 13+ 17+  2
Curve Equation t 77350x1 [1,0,0,-6965427938,223746356839492] 2 77350x2 [1,0,0,-6658099938,244386812647492] 2
77350y (1 curve)	0	2- 5+ 7+ 13+ 17+	2- -2 5+ 7+  4 13+ 17+  2
Curve Equation t 77350y1 [1,0,0,-20913,-1484183] 1
77350z (2 curves)	1	2- 5+ 7+ 13+ 17-	2-  0 5+ 7+ -2 13+ 17- -4
Curve Equation t Generators 77350z1 [1,-1,1,-476005,-119644003] 2 [-421:2660:1] 77350z2 [1,-1,1,355995,-494044003] 2 [1243:42596:1]
77350ba (2 curves)	1	2- 5+ 7+ 13+ 17-	2- -1 5+ 7+  3 13+ 17- -7
Curve Equation t Generators 77350ba1 [1,1,1,-1138,15531] 1 [5:97:1] 77350ba2 [1,1,1,6987,-10469] 1 [25:412:1]
77350bb (1 curve)	1	2- 5+ 7+ 13- 17+	2- -2 5+ 7+ -3 13- 17+  4
Curve Equation t Generators 77350bb1 [1,0,0,-3248,-10880768] 1 [666:16474:1]
77350bc (4 curves)	1	2- 5+ 7- 13+ 17+	2-  0 5+ 7-  4 13+ 17+ -4
Curve Equation t Generators 77350bc1 [1,-1,1,1895,-132103] 2 [75:616:1] 77350bc2 [1,-1,1,-30105,-1860103] 4 [-107:410:1] 77350bc3 [1,-1,1,-100105,10039897] 2 [893:24696:1] 77350bc4 [1,-1,1,-472105,-124736103] 2 [1009:20120:1]
77350bd (1 curve)	0	2- 5+ 7- 13+ 17-	2- -1 5+ 7-  3 13+ 17- -3
Curve Equation t 77350bd1 [1,1,1,-14938,-708969] 1
77350be (1 curve)	0	2- 5+ 7- 13+ 17-	2-  2 5+ 7- -1 13+ 17-  7
Curve Equation t 77350be1 [1,1,1,17,1261] 1
77350bf (1 curve)	0	2- 5+ 7- 13+ 17-	2-  2 5+ 7-  3 13+ 17-  3
Curve Equation t 77350bf1 [1,1,1,855172,-1011789029] 1
77350bg (2 curves)	0	2- 5+ 7- 13+ 17-	2- -2 5+ 7-  2 13+ 17-  2
Curve Equation t 77350bg1 [1,0,0,-43209042813,-3345131149242383] 2 77350bg2 [1,0,0,17027245187,-11939945902522383] 2
77350bh (1 curve)	0	2- 5+ 7- 13- 17+	2-  1 5+ 7- -5 13- 17+  0
Curve Equation t 77350bh1 [1,0,0,-1813,45367] 1
77350bi (1 curve)	1	2- 5+ 7- 13- 17-	2- -1 5+ 7-  1 13- 17- -1
Curve Equation t Generators 77350bi1 [1,1,1,-36138,2655031] 1 [145:627:1]
77350bj (1 curve)	1	2- 5+ 7- 13- 17-	2- -3 5+ 7-  1 13- 17- -2
Curve Equation t Generators 77350bj1 [1,-1,1,37620,-2496753] 1 [109:1645:1]
77350bk (1 curve)	1	2- 5- 7+ 13+ 17+	2- -2 5- 7+ -1 13+ 17+ -3
Curve Equation t Generators 77350bk1 [1,0,0,337,3367] 1 [-66:85:8]
77350bl (1 curve)	0	2- 5- 7+ 13- 17+	2-  2 5- 7+  5 13- 17+ -1
Curve Equation t 77350bl1 [1,1,1,11362,493531] 1
77350bm (1 curve)	1	2- 5- 7+ 13- 17-	2- -2 5- 7+  1 13- 17-  4
Curve Equation t Generators 77350bm1 [1,0,0,2912,-103008] 1 [106:1130:1]
77350bn (1 curve)	1	2- 5- 7- 13+ 17-	2-  0 5- 7-  5 13+ 17-  3
Curve Equation t Generators 77350bn1 [1,-1,1,-15970180,-25342542553] 1 [5069:-157235:1]
77350bo (1 curve)	1	2- 5- 7- 13- 17+	2-  0 5- 7- -5 13- 17+  5
Curve Equation t Generators 77350bo1 [1,-1,1,-285430,271272197] 1 [1769:71915:1]
77350bp (1 curve)	0	2- 5- 7- 13- 17-	2-  0 5- 7-  3 13- 17- -7
Curve Equation t 77350bp1 [1,-1,1,695,41447] 1

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