Cremona's table of elliptic curves

38710 = 2 · 5 · 7² · 79

Class	r	Atkin-Lehner	Eigenvalues
38710a (1 curve)	1	2+ 5+ 7+ 79+	2+  0 5+ 7+ -5 -3  4 -5
Curve Equation t Generators 38710a1 [1,-1,0,-2165,39605] 1 [31:24:1]
38710b (1 curve)	0	2+ 5+ 7+ 79-	2+  0 5+ 7+  3 -3  4 -5
Curve Equation t 38710b1 [1,-1,0,-10971305,39501473101] 1
38710c (1 curve)	0	2+ 5+ 7+ 79-	2+  2 5+ 7+ -1  4 -4  4
Curve Equation t 38710c1 [1,1,0,-15558,-753388] 1
38710d (2 curves)	0	2+ 5+ 7- 79+	2+  0 5+ 7-  0 -2  0 -6
Curve Equation t 38710d1 [1,-1,0,1470040,-2098603200] 2 38710d2 [1,-1,0,-18349480,-27392274624] 2
38710e (1 curve)	2	2+ 5+ 7- 79+	2+ -1 5+ 7- -1 -5 -1  0
Curve Equation t Generators 38710e1 [1,1,0,-2573,49477] 1 [-57:151:1]&[41:102:1]
38710f (1 curve)	0	2+ 5+ 7- 79+	2+ -1 5+ 7- -3 -1 -7  8
Curve Equation t 38710f1 [1,1,0,-238508,-44933552] 1
38710g (1 curve)	0	2+ 5+ 7- 79+	2+  2 5+ 7-  3 -4 -4 -4
Curve Equation t 38710g1 [1,1,0,-7893,-58603] 1
38710h (1 curve)	0	2+ 5+ 7- 79+	2+  3 5+ 7- -3 -5 -3  0
Curve Equation t 38710h1 [1,-1,0,14495,-32425] 1
38710i (1 curve)	1	2+ 5+ 7- 79-	2+  0 5+ 7- -3  2  0  8
Curve Equation t Generators 38710i1 [1,-1,0,-48470,3991700] 1 [95:440:1]
38710j (1 curve)	1	2+ 5+ 7- 79-	2+  1 5+ 7- -2 -2  0 -2
Curve Equation t Generators 38710j1 [1,0,1,-4198199,3322826266] 1 [-2249:38412:1]
38710k (2 curves)	1	2+ 5+ 7- 79-	2+ -1 5+ 7- -3  7 -3 -2
Curve Equation t Generators 38710k1 [1,1,0,26582,963572] 1 [601:15012:1] 38710k2 [1,1,0,-530793,151188997] 1 [111:9622:1]
38710l (1 curve)	1	2+ 5+ 7- 79-	2+ -2 5+ 7- -5  4  0  4
Curve Equation t Generators 38710l1 [1,0,1,-19,-24] 1 [-2:3:1]
38710m (1 curve)	1	2+ 5+ 7- 79-	2+ -3 5+ 7-  3  3 -7 -4
Curve Equation t Generators 38710m1 [1,-1,0,-18036370,100794639700] 1 [5095:373140:1]
38710n (1 curve)	0	2+ 5- 7+ 79+	2+ -2 5- 7+  3  4  4  4
Curve Equation t 38710n1 [1,0,1,-386783,18940506] 1
38710o (1 curve)	1	2+ 5- 7+ 79-	2+  0 5- 7+ -3 -2  0 -8
Curve Equation t Generators 38710o1 [1,-1,0,-989,-11355] 1 [-19:27:1]
38710p (1 curve)	1	2+ 5- 7+ 79-	2+ -1 5- 7+ -2  2  0  2
Curve Equation t Generators 38710p1 [1,1,0,-85677,-9724259] 1 [682:-16141:1]
38710q (1 curve)	1	2+ 5- 7+ 79-	2+  2 5- 7+ -5 -4  0 -4
Curve Equation t Generators 38710q1 [1,1,0,-907,7239] 1 [3:66:1]
38710r (1 curve)	1	2+ 5- 7- 79+	2+  0 5- 7- -5  3 -4  5
Curve Equation t Generators 38710r1 [1,-1,0,-106094,-13372332] 1 [737628515:10286151439:1520875]
38710s (1 curve)	1	2+ 5- 7- 79+	2+ -1 5- 7-  1  1  1 -6
Curve Equation t Generators 38710s1 [1,1,0,-34472,3086056] 1 [1217:41409:1]
38710t (1 curve)	0	2+ 5- 7- 79-	2+  0 5- 7-  3  3 -4  5
Curve Equation t 38710t1 [1,-1,0,-223904,-115100672] 1
38710u (1 curve)	0	2+ 5- 7- 79-	2+  1 5- 7-  5  5 -5  2
Curve Equation t 38710u1 [1,0,1,-173,-2894] 1
38710v (1 curve)	0	2+ 5- 7- 79-	2+ -2 5- 7- -1 -4  4 -4
Curve Equation t 38710v1 [1,0,1,-762368,256125006] 1
38710w (1 curve)	0	2+ 5- 7- 79-	2+  3 5- 7-  3 -3 -1  8
Curve Equation t 38710w1 [1,-1,0,1706,-63442] 1
38710x (1 curve)	0	2- 5+ 7+ 79+	2-  0 5+ 7+  4  3  2  6
Curve Equation t 38710x1 [1,-1,1,-155413,25063917] 1
38710y (1 curve)	1	2- 5+ 7- 79+	2-  1 5+ 7- -1  1  1  6
Curve Equation t Generators 38710y1 [1,0,0,-631,-7589] 1 [678:5591:8]
38710z (1 curve)	1	2- 5+ 7- 79+	2- -1 5+ 7-  2 -2 -4  6
Curve Equation t Generators 38710z1 [1,1,1,349,3009] 1 [43:-338:1]
38710ba (1 curve)	1	2- 5+ 7- 79+	2- -1 5+ 7- -5  1 -5 -2
Curve Equation t Generators 38710ba1 [1,1,1,-1,-10977] 1 [41:-266:1]
38710bb (2 curves)	1	2- 5+ 7- 79+	2-  2 5+ 7- -4 -2  2  0
Curve Equation t Generators 38710bb1 [1,1,1,111964,32962789] 2 [33098136:-1654166605:13824] 38710bb2 [1,1,1,-1113036,393602789] 2 [2862:50015:8]
38710bc (2 curves)	1	2- 5+ 7- 79+	2-  2 5+ 7- -4 -2  4  4
Curve Equation t Generators 38710bc1 [1,1,1,-1226,-20777] 2 [113:1083:1] 38710bc2 [1,1,1,-20826,-1165417] 2 [4521:5231:27]
38710bd (1 curve)	0	2- 5+ 7- 79-	2-  1 5+ 7-  1 -1  3  2
Curve Equation t 38710bd1 [1,0,0,-81341,-8968975] 1
38710be (1 curve)	2	2- 5+ 7- 79-	2- -1 5+ 7- -5 -3  3 -6
Curve Equation t Generators 38710be1 [1,1,1,174,223] 1 [-1:7:1]&[1:19:1]
38710bf (1 curve)	1	2- 5- 7+ 79+	2-  1 5- 7+  2  2  4 -6
Curve Equation t Generators 38710bf1 [1,0,0,17100,-980848] 1 [328:6156:1]
38710bg (1 curve)	0	2- 5- 7- 79+	2-  0 5- 7-  4 -3 -2 -6
Curve Equation t 38710bg1 [1,-1,1,-7615222,-8581693179] 1
38710bh (1 curve)	0	2- 5- 7- 79+	2- -1 5- 7- -1 -1 -1 -6
Curve Equation t 38710bh1 [1,1,1,-30920,2572107] 1
38710bi (1 curve)	1	2- 5- 7- 79-	2-  1 5- 7- -5  3 -3  6
Curve Equation t Generators 38710bi1 [1,0,0,8525,-50975] 1 [102:1321:1]
38710bj (1 curve)	1	2- 5- 7- 79-	2- -1 5- 7-  1  1 -3 -2
Curve Equation t Generators 38710bj1 [1,1,1,-1660,25437] 1 [27:-49:1]
38710bk (3 curves)	1	2- 5- 7- 79-	2- -1 5- 7-  3 -5  3 -2
Curve Equation t Generators 38710bk1 [1,1,1,-12545,-22491393] 1 [447:7616:1] 38710bk2 [1,1,1,112895,606866175] 1 [923:38248:1] 38710bk3 [1,1,1,-50829465,139478340847] 1 [4157:4046:1]

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

Part of Computational Number Theory
Back to Tables and computations