Cremona's table of elliptic curves

39780 = 2² · 3² · 5 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
39780a (2 curves)	1	2- 3+ 5+ 13+ 17-	2- 3+ 5+  0 -4 13+ 17- -2
Curve Equation t Generators 39780a1 [0,0,0,432,-1323] 2 [7347:629748:1] 39780a2 [0,0,0,-1863,-10962] 2 [46:26:1]
39780b (1 curve)	1	2- 3+ 5+ 13+ 17-	2- 3+ 5+  1  3 13+ 17- -5
Curve Equation t Generators 39780b1 [0,0,0,27,-107] 1 [11:39:1]
39780c (1 curve)	1	2- 3+ 5+ 13+ 17-	2- 3+ 5+ -4  2 13+ 17-  0
Curve Equation t Generators 39780c1 [0,0,0,432,-972] 1 [18:27:8]
39780d (4 curves)	1	2- 3+ 5+ 13- 17+	2- 3+ 5+  2  0 13- 17+ -4
Curve Equation t Generators 39780d1 [0,0,0,-10968,444433] 6 [-106:645:1] 39780d2 [0,0,0,-175743,28357318] 6 [2091:93826:1] 39780d3 [0,0,0,29592,2370357] 2 [-22145277:413606250:456533] 39780d4 [0,0,0,-189783,23561982] 2 [206345784414:-9244672261525:98611128]
39780e (2 curves)	1	2- 3+ 5+ 13- 17+	2- 3+ 5+  2  0 13- 17+ -4
Curve Equation t Generators 39780e1 [0,0,0,-48,297] 2 [4:-13:1] 39780e2 [0,0,0,-1023,12582] 2 [-33:102:1]
39780f (2 curves)	1	2- 3+ 5- 13+ 17+	2- 3+ 5-  0  4 13+ 17+ -2
Curve Equation t Generators 39780f1 [0,0,0,48,49] 2 [0:7:1] 39780f2 [0,0,0,-207,406] 2 [-13:30:1]
39780g (1 curve)	1	2- 3+ 5- 13+ 17+	2- 3+ 5-  1 -3 13+ 17+ -5
Curve Equation t Generators 39780g1 [0,0,0,243,2889] 1 [-30:351:8]
39780h (1 curve)	1	2- 3+ 5- 13+ 17+	2- 3+ 5- -4 -2 13+ 17+  0
Curve Equation t Generators 39780h1 [0,0,0,48,36] 1 [0:6:1]
39780i (4 curves)	1	2- 3+ 5- 13- 17-	2- 3+ 5-  2  0 13- 17- -4
Curve Equation t Generators 39780i1 [0,0,0,3288,-87791] 6 [83:870:1] 39780i2 [0,0,0,-21087,-872666] 6 [1314:2465:8] 39780i3 [0,0,0,-98712,-11999691] 2 [430689:14728230:343] 39780i4 [0,0,0,-1581687,-765647586] 2 [3176427870:53923280543:2000376]
39780j (2 curves)	1	2- 3+ 5- 13- 17-	2- 3+ 5-  2  0 13- 17- -4
Curve Equation t Generators 39780j1 [0,0,0,-432,-8019] 2 [7730:240227:8] 39780j2 [0,0,0,-9207,-339714] 2 [38050930:-1177887331:39304]
39780k (1 curve)	1	2- 3- 5+ 13+ 17+	2- 3- 5+  1  5 13+ 17+ -1
Curve Equation t Generators 39780k1 [0,0,0,-4247013,-3372767687] 1 [2278335424897297656:-15746529981069984577:948789909877447]
39780l (1 curve)	1	2- 3- 5+ 13+ 17+	2- 3- 5+ -2  2 13+ 17+ -2
Curve Equation t Generators 39780l1 [0,0,0,-6333168,6148881092] 1 [1768:21870:1]
39780m (2 curves)	1	2- 3- 5+ 13+ 17+	2- 3- 5+ -4 -2 13+ 17+ -2
Curve Equation t Generators 39780m1 [0,0,0,-36768,-1902683] 2 [-109:900:1] 39780m2 [0,0,0,-222663,38957038] 2 [522:8060:1]
39780n (2 curves)	0	2- 3- 5+ 13+ 17-	2- 3- 5+  2  2 13+ 17-  6
Curve Equation t 39780n1 [0,0,0,-22158588,26660395037] 2 39780n2 [0,0,0,63167217,182311728518] 2
39780o (2 curves)	0	2- 3- 5+ 13+ 17-	2- 3- 5+  4  6 13+ 17-  4
Curve Equation t 39780o1 [0,0,0,-40908,3152113] 2 39780o2 [0,0,0,-8103,8066302] 2
39780p (2 curves)	2	2- 3- 5+ 13+ 17-	2- 3- 5+ -4 -6 13+ 17-  6
Curve Equation t Generators 39780p1 [0,0,0,-1128,13777] 2 [26:-45:1]&[-13:162:1] 39780p2 [0,0,0,-3423,-60122] 2 [-37:126:1]&[-33:130:1]
39780q (1 curve)	1	2- 3- 5+ 13- 17-	2- 3- 5+  3  5 13- 17- -5
Curve Equation t Generators 39780q1 [0,0,0,5667,-16603] 1 [109:1377:1]
39780r (2 curves)	1	2- 3- 5+ 13- 17-	2- 3- 5+  4  0 13- 17-  2
Curve Equation t Generators 39780r1 [0,0,0,-588,5137] 2 [2:63:1] 39780r2 [0,0,0,537,22462] 2 [-9:130:1]
39780s (2 curves)	0	2- 3- 5- 13+ 17+	2- 3- 5-  0  6 13+ 17+ -6
Curve Equation t 39780s1 [0,0,0,-68592,391349] 2 39780s2 [0,0,0,-731847,-240104914] 2
39780t (2 curves)	0	2- 3- 5- 13+ 17+	2- 3- 5-  0 -6 13+ 17+  0
Curve Equation t 39780t1 [0,0,0,-1975662732,-33276735210859] 2 39780t2 [0,0,0,-38560287,-95675841430666] 2
39780u (2 curves)	0	2- 3- 5- 13+ 17+	2- 3- 5-  4  2 13+ 17+ -4
Curve Equation t 39780u1 [0,0,0,-1077132,430280269] 2 39780u2 [0,0,0,-1073487,433336966] 2
39780v (1 curve)	2	2- 3- 5- 13+ 17+	2- 3- 5- -5 -1 13+ 17+ -5
Curve Equation t Generators 39780v1 [0,0,0,-777,9929] 1 [-32:45:1]&[73:-585:1]
39780w (2 curves)	1	2- 3- 5- 13+ 17-	2- 3- 5-  2 -2 13+ 17- -2
Curve Equation t Generators 39780w1 [0,0,0,-601572,179485589] 2 [2594:34425:8] 39780w2 [0,0,0,-484527,251421446] 2 [422:11050:1]
39780x (2 curves)	1	2- 3- 5- 13+ 17-	2- 3- 5-  2  6 13+ 17- -2
Curve Equation t Generators 39780x1 [0,0,0,-156972,23727161] 2 [-248:6885:1] 39780x2 [0,0,0,-39927,58302254] 2 [-197:7650:1]
39780y (2 curves)	1	2- 3- 5- 13+ 17-	2- 3- 5-  4 -2 13+ 17- -2
Curve Equation t Generators 39780y1 [0,0,0,-27958512,56897863441] 2 [-3490:334611:1] 39780y2 [0,0,0,-29631567,49704730774] 2 [-3541:332010:1]
39780z (1 curve)	1	2- 3- 5- 13- 17+	2- 3- 5-  1 -3 13- 17+ -3
Curve Equation t Generators 39780z1 [0,0,0,2103,-629939] 1 [92:585:1]
39780ba (2 curves)	0	2- 3- 5- 13- 17-	2- 3- 5-  2  6 13- 17-  2
Curve Equation t 39780ba1 [0,0,0,-13152,-580556] 1 39780ba2 [0,0,0,-4512,-1327484] 3
39780bb (4 curves)	0	2- 3- 5- 13- 17-	2- 3- 5- -4  0 13- 17-  2
Curve Equation t 39780bb1 [0,0,0,-111972,-14421539] 2 39780bb2 [0,0,0,-110847,-14725514] 2 39780bb3 [0,0,0,-144732,-5304431] 6 39780bb4 [0,0,0,558393,-41726306] 6

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

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