Cremona's table of elliptic curves

79560 = 2³ · 3² · 5 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
79560a (1 curve)	1	2+ 3+ 5+ 13+ 17+	2+ 3+ 5+ -3  5 13+ 17+  1
Curve Equation t Generators 79560a1 [0,0,0,-10503,-1436373] 1 [414:8073:1]
79560b (2 curves)	1	2+ 3+ 5+ 13+ 17+	2+ 3+ 5+  4  0 13+ 17+  4
Curve Equation t Generators 79560b1 [0,0,0,2757,25542] 2 [234:3672:1] 79560b2 [0,0,0,-12243,214542] 2 [-16056:385749:512]
79560c (1 curve)	2	2+ 3+ 5+ 13- 17+	2+ 3+ 5+ -4  2 13- 17+ -4
Curve Equation t Generators 79560c1 [0,0,0,-828,9332] 1 [-22:130:1]&[4:78:1]
79560d (1 curve)	1	2+ 3+ 5+ 13- 17-	2+ 3+ 5+ -1 -3 13- 17-  1
Curve Equation t Generators 79560d1 [0,0,0,-963,11503] 1 [23:39:1]
79560e (2 curves)	1	2+ 3+ 5- 13- 17+	2+ 3+ 5-  0 -6 13- 17+  4
Curve Equation t Generators 79560e1 [0,0,0,-18807,1145354] 2 [35:728:1] 79560e2 [0,0,0,-313587,67588766] 2 [127:5460:1]
79560f (6 curves)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+  0 -4 13- 17+ -4
Curve Equation t Generators 79560f1 [0,0,0,-149178,-22177127] 2 [86907:-4893328:27] 79560f2 [0,0,0,-149223,-22163078] 4 [12839:1454112:1] 79560f3 [0,0,0,-109443,-34248242] 2 [16916658:154745000:35937] 79560f4 [0,0,0,-189723,-9178778] 4 [-166:4212:1] 79560f5 [0,0,0,722877,-71783138] 2 [1394:60372:1] 79560f6 [0,0,0,-1750323,884420782] 2 [662:3978:1]
79560g (6 curves)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+  0 -4 13- 17+ -4
Curve Equation t Generators 79560g1 [0,0,0,9942,26493257] 2 [181:5850:1] 79560g2 [0,0,0,-1275303,542904698] 4 [-1262:11934:1] 79560g3 [0,0,0,-2826723,-1036130578] 2 [-1418:10998:1] 79560g4 [0,0,0,-20287803,35172272198] 4 [-4601:176400:1] 79560g5 [0,0,0,-20170803,35597988398] 2 [-36782:1411837:8] 79560g6 [0,0,0,-324604803,2251026075998] 2 [9790279282:33613:941192]
79560h (1 curve)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+  2 -1 13- 17+ -1
Curve Equation t Generators 79560h1 [0,0,0,-82628383683,-9142097425009378] 1 [270571132577097412275783891633928614622544249717884774:9839494330974408295522216218031820456936309163084864672:813725203132302389917853206099772981825706267811]
79560i (2 curves)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+  2  4 13- 17+  4
Curve Equation t Generators 79560i1 [0,0,0,-22998,1618697] 2 [29:988:1] 79560i2 [0,0,0,-388623,93244322] 2 [346:450:1]
79560j (2 curves)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+ -2  0 13- 17+  2
Curve Equation t Generators 79560j1 [0,0,0,-3303,-73062] 2 [67:80:1] 79560j2 [0,0,0,-3123,-81378] 2 [151:1700:1]
79560k (1 curve)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+ -2 -1 13- 17+  3
Curve Equation t Generators 79560k1 [0,0,0,-1272963,1055431262] 1 [14655143834:1742660004168:1030301]
79560l (2 curves)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+ -2 -4 13- 17+  6
Curve Equation t Generators 79560l1 [0,0,0,-879303,307864442] 2 [5939:452288:1] 79560l2 [0,0,0,301677,1073375678] 2 [-809:17316:1]
79560m (1 curve)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+  3 -1 13- 17+ -7
Curve Equation t Generators 79560m1 [0,0,0,-4143,-106693] 1 [79:243:1]
79560n (2 curves)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+ -4 -2 13- 17+ -2
Curve Equation t Generators 79560n1 [0,0,0,-56343,-5147638] 2 [1019:31552:1] 79560n2 [0,0,0,-56163,-5182162] 2 [319:3060:1]
79560o (1 curve)	0	2+ 3- 5+ 13- 17-	2+ 3- 5+  1  3 13- 17-  1
Curve Equation t 79560o1 [0,0,0,9357,205567] 1
79560p (2 curves)	0	2+ 3- 5+ 13- 17-	2+ 3- 5+  2  0 13- 17-  4
Curve Equation t 79560p1 [0,0,0,402,-36047] 2 79560p2 [0,0,0,-14223,-629822] 2
79560q (2 curves)	0	2+ 3- 5+ 13- 17-	2+ 3- 5+ -2  0 13- 17-  4
Curve Equation t 79560q1 [0,0,0,-3974344518,159711617178817] 2 79560q2 [0,0,0,-74566426143,7834666270861042] 2
79560r (1 curve)	2	2+ 3- 5+ 13- 17-	2+ 3- 5+ -2  2 13- 17- -6
Curve Equation t Generators 79560r1 [0,0,0,11652,259508] 1 [-14:306:1]&[-2:486:1]
79560s (2 curves)	2	2+ 3- 5+ 13- 17-	2+ 3- 5+ -2 -4 13- 17-  0
Curve Equation t Generators 79560s1 [0,0,0,-27802758,56425604393] 2 [-5956:103615:1]&[22562:169065:8] 79560s2 [0,0,0,-27139503,59245632002] 2 [2051:-110500:1]&[-1849:321100:1]
79560t (1 curve)	1	2+ 3- 5- 13+ 17+	2+ 3- 5- -1  3 13+ 17+  3
Curve Equation t Generators 79560t1 [0,0,0,573,-20263129] 1 [427:7605:1]
79560u (2 curves)	1	2+ 3- 5- 13+ 17+	2+ 3- 5- -2 -2 13+ 17+  0
Curve Equation t Generators 79560u1 [0,0,0,-29847,-1951414] 2 [-98:180:1] 79560u2 [0,0,0,573,-5741746] 2 [223:2340:1]
79560v (1 curve)	1	2+ 3- 5- 13+ 17+	2+ 3- 5-  4  1 13+ 17+ -3
Curve Equation t Generators 79560v1 [0,0,0,573,-8674] 1 [41030:260424:1331]
79560w (2 curves)	0	2+ 3- 5- 13+ 17-	2+ 3- 5-  0 -2 13+ 17- -8
Curve Equation t 79560w1 [0,0,0,-2529147,-1545816314] 2 79560w2 [0,0,0,-1738227,-2530195346] 2
79560x (1 curve)	2	2+ 3- 5- 13+ 17-	2+ 3- 5- -2 -6 13+ 17-  2
Curve Equation t Generators 79560x1 [0,0,0,2148,144596] 1 [-38:90:1]&[22:-450:1]
79560y (1 curve)	2	2+ 3- 5- 13+ 17-	2+ 3- 5- -5 -3 13+ 17- -7
Curve Equation t Generators 79560y1 [0,0,0,-10803387,13667646359] 1 [538:89505:1]&[1903:585:1]
79560z (4 curves)	0	2+ 3- 5- 13- 17+	2+ 3- 5-  4  0 13- 17+  4
Curve Equation t 79560z1 [0,0,0,-94602,2283721] 2 79560z2 [0,0,0,-1148007,472734394] 4 79560z3 [0,0,0,-789987,772969966] 2 79560z4 [0,0,0,-18360507,30281341894] 2
79560ba (4 curves)	0	2+ 3- 5- 13- 17+	2+ 3- 5-  4 -4 13- 17+  4
Curve Equation t 79560ba1 [0,0,0,-446007,31821194] 2 79560ba2 [0,0,0,-5586987,5077178966] 4 79560ba3 [0,0,0,-4065987,7902892766] 2 79560ba4 [0,0,0,-89363667,325154362574] 2
79560bb (4 curves)	1	2+ 3- 5- 13- 17-	2+ 3- 5-  0 -4 13- 17-  0
Curve Equation t Generators 79560bb1 [0,0,0,-282,21049] 4 [-15:148:1] 79560bb2 [0,0,0,-13287,585466] 4 [-73:1080:1] 79560bb3 [0,0,0,-22467,-327026] 2 [-25:468:1] 79560bb4 [0,0,0,-212187,37620646] 2 [590:10854:1]
79560bc (2 curves)	1	2+ 3- 5- 13- 17-	2+ 3- 5-  2  0 13- 17-  0
Curve Equation t Generators 79560bc1 [0,0,0,-822,-7711] 2 [-20:27:1] 79560bc2 [0,0,0,1473,-43054] 2 [31:180:1]
79560bd (2 curves)	1	2+ 3- 5- 13- 17-	2+ 3- 5- -2 -4 13- 17- -2
Curve Equation t Generators 79560bd1 [0,0,0,-3207,69626] 2 [-50:324:1] 79560bd2 [0,0,0,-1587,139934] 2 [23:-340:1]
79560be (4 curves)	1	2+ 3- 5- 13- 17-	2+ 3- 5- -4  4 13- 17- -4
Curve Equation t Generators 79560be1 [0,0,0,-282,-1411031] 4 [165:1742:1] 79560be2 [0,0,0,-190407,-31488806] 4 [7170:182039:8] 79560be3 [0,0,0,-389307,45644614] 2 [787349208910:33224678393454:400315553] 79560be4 [0,0,0,-3033507,-2033599826] 2 [24939750:648602411:10648]
79560bf (2 curves)	0	2- 3+ 5+ 13- 17-	2- 3+ 5+  0  6 13- 17-  4
Curve Equation t 79560bf1 [0,0,0,-169263,-30924558] 2 79560bf2 [0,0,0,-2822283,-1824896682] 2
79560bg (1 curve)	2	2- 3+ 5- 13+ 17-	2- 3+ 5- -3 -5 13+ 17-  1
Curve Equation t Generators 79560bg1 [0,0,0,-1167,53199] 1 [-47:65:1]&[-27:255:1]
79560bh (2 curves)	0	2- 3+ 5- 13+ 17-	2- 3+ 5-  4  0 13+ 17-  4
Curve Equation t 79560bh1 [0,0,0,24813,-689634] 2 79560bh2 [0,0,0,-110187,-5792634] 2
79560bi (1 curve)	0	2- 3+ 5- 13- 17+	2- 3+ 5- -1  3 13- 17+  1
Curve Equation t 79560bi1 [0,0,0,-8667,-310581] 1
79560bj (1 curve)	1	2- 3+ 5- 13- 17-	2- 3+ 5- -4 -2 13- 17- -4
Curve Equation t Generators 79560bj1 [0,0,0,-7452,-251964] 1 [105:351:1]
79560bk (4 curves)	0	2- 3- 5+ 13+ 17-	2- 3- 5+  4 -4 13+ 17-  0
Curve Equation t 79560bk1 [0,0,0,-12063,79778] 2 79560bk2 [0,0,0,-143283,20838782] 4 79560bk3 [0,0,0,-94683,35195222] 2 79560bk4 [0,0,0,-2291403,1335058598] 2
79560bl (1 curve)	0	2- 3- 5+ 13- 17+	2- 3- 5+  2  6 13- 17+  6
Curve Equation t 79560bl1 [0,0,0,-120108,148302052] 1
79560bm (4 curves)	0	2- 3- 5+ 13- 17+	2- 3- 5+ -4  0 13- 17+  0
Curve Equation t 79560bm1 [0,0,0,-282018,-57645083] 2 79560bm2 [0,0,0,-285663,-56078462] 4 79560bm3 [0,0,0,182517,-221907818] 2 79560bm4 [0,0,0,-812163,210014638] 2
79560bn (2 curves)	1	2- 3- 5+ 13- 17-	2- 3- 5+  4  2 13- 17- -4
Curve Equation t Generators 79560bn1 [0,0,0,-963,2862] 2 [-29:80:1] 79560bn2 [0,0,0,3717,22518] 2 [606:14994:1]
79560bo (4 curves)	0	2- 3- 5- 13+ 17+	2- 3- 5-  0 -4 13+ 17+  8
Curve Equation t 79560bo1 [0,0,0,-4287,-92414] 2 79560bo2 [0,0,0,-18867,907774] 4 79560bo3 [0,0,0,23253,4386886] 2 79560bo4 [0,0,0,-294267,61440694] 2
79560bp (1 curve)	0	2- 3- 5- 13+ 17+	2- 3- 5-  2  5 13+ 17+ -7
Curve Equation t 79560bp1 [0,0,0,-179787,60984934] 1
79560bq (4 curves)	0	2- 3- 5- 13+ 17+	2- 3- 5- -4 -4 13+ 17+ -4
Curve Equation t 79560bq1 [0,0,0,-14006847,-20177097086] 2 79560bq2 [0,0,0,-14021427,-20132986754] 4 79560bq3 [0,0,0,-7136427,-39921853754] 2 79560bq4 [0,0,0,-21139707,2478941494] 2
79560br (1 curve)	1	2- 3- 5- 13+ 17-	2- 3- 5-  3 -3 13+ 17-  1
Curve Equation t Generators 79560br1 [0,0,0,2913,-171961] 1 [730:19773:1]
79560bs (4 curves)	1	2- 3- 5- 13- 17+	2- 3- 5-  0 -4 13- 17+ -8
Curve Equation t Generators 79560bs1 [0,0,0,-7842,-224651] 2 [-42:175:1] 79560bs2 [0,0,0,-35967,2413474] 4 [-87:2210:1] 79560bs3 [0,0,0,40533,11302774] 2 [3:3380:1] 79560bs4 [0,0,0,-562467,162364174] 2 [443:360:1]
79560bt (2 curves)	1	2- 3- 5- 13- 17+	2- 3- 5- -2  0 13- 17+  4
Curve Equation t Generators 79560bt1 [0,0,0,-24222,1450789] 2 [38:765:1] 79560bt2 [0,0,0,-21927,1736746] 2 [197:2250:1]
79560bu (2 curves)	0	2- 3- 5- 13- 17-	2- 3- 5-  2 -4 13- 17-  4
Curve Equation t 79560bu1 [0,0,0,-1587,-21634] 2 79560bu2 [0,0,0,-6267,168374] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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