Cremona's table of elliptic curves

65072 = 2⁴ · 7² · 83

Class	r	Atkin-Lehner	Eigenvalues
65072a (1 curve)	1	2+ 7+ 83+	2+  1  1 7+  5 -2  7  5
Curve Equation t Generators 65072a1 [0,1,0,-14520,-677209] 1 [-71:29:1]
65072b (1 curve)	1	2+ 7+ 83+	2+  1 -4 7+  0 -2 -3  2
Curve Equation t Generators 65072b1 [0,1,0,-65,-421] 1 [298:1793:8]
65072c (1 curve)	0	2+ 7- 83+	2+ -3  4 7-  3  4  3 -4
Curve Equation t 65072c1 [0,0,0,-343,3430] 1
65072d (1 curve)	1	2+ 7- 83-	2+  1  2 7-  3 -2  3 -2
Curve Equation t Generators 65072d1 [0,1,0,33,608] 1 [1036:9358:343]
65072e (1 curve)	1	2+ 7- 83-	2+ -1  0 7-  1  4  3  4
Curve Equation t Generators 65072e1 [0,-1,0,-163,1058] 1 [-14:20:1]
65072f (1 curve)	1	2+ 7- 83-	2+ -1 -1 7-  5  2 -7 -5
Curve Equation t Generators 65072f1 [0,-1,0,-296,2059] 1 [23:83:1]
65072g (1 curve)	1	2+ 7- 83-	2+ -1  4 7-  0  2  3 -2
Curve Equation t Generators 65072g1 [0,-1,0,-3201,138013] 1 [496272:5040085:4096]
65072h (1 curve)	1	2+ 7- 83-	2+  2  2 7- -1  2  2  7
Curve Equation t Generators 65072h1 [0,-1,0,768,-16288] 1 [68:588:1]
65072i (1 curve)	2	2- 7+ 83+	2-  0 -3 7+  0  3 -2 -5
Curve Equation t Generators 65072i1 [0,0,0,-539,5194] 1 [21:-56:1]&[15:22:1]
65072j (1 curve)	0	2- 7+ 83+	2- -1 -1 7+ -5  2  3  5
Curve Equation t 65072j1 [0,-1,0,-42646,-1150981] 1
65072k (1 curve)	0	2- 7+ 83+	2- -1 -3 7+ -1 -2 -1 -1
Curve Equation t 65072k1 [0,-1,0,-5602,-154909] 1
65072l (1 curve)	0	2- 7+ 83+	2-  2 -1 7+  4  5  6  5
Curve Equation t 65072l1 [0,-1,0,15664,101312] 1
65072m (2 curves)	1	2- 7+ 83-	2- -1  0 7+  0  2 -3 -2
Curve Equation t Generators 65072m1 [0,-1,0,-18293,-948611] 1 [3582258939492:26535312790085:19508557888] 65072m2 [0,-1,0,36587,-4910947] 1 [87044:3237415:64]
65072n (1 curve)	1	2- 7+ 83-	2- -1  1 7+ -5  6 -1 -1
Curve Equation t Generators 65072n1 [0,-1,0,-3250,-70237] 1 [89:581:1]
65072o (1 curve)	1	2- 7+ 83-	2- -1 -2 7+  1 -6 -7  2
Curve Equation t Generators 65072o1 [0,-1,0,-1829,35113] 1 [33:98:1]
65072p (2 curves)	1	2- 7- 83+	2-  1  0 7-  0 -2  3  2
Curve Equation t Generators 65072p1 [0,1,0,-373,2659] 1 [90:29:8] 65072p2 [0,1,0,747,14531] 1 [1098:706411:5832]
65072q (1 curve)	1	2- 7- 83+	2-  1 -1 7- -5 -6  1  1
Curve Equation t Generators 65072q1 [0,1,0,-159266,24409811] 1 [227:71:1]
65072r (1 curve)	1	2- 7- 83+	2-  1  2 7-  1  6  7 -2
Curve Equation t Generators 65072r1 [0,1,0,-37,-113] 1 [855:106:125]
65072s (1 curve)	1	2- 7- 83+	2- -1  2 7- -3  6 -5  2
Curve Equation t Generators 65072s1 [0,-1,0,768,-5312] 1 [16:104:1]
65072t (1 curve)	1	2- 7- 83+	2- -1  2 7-  5  2  3 -2
Curve Equation t Generators 65072t1 [0,-1,0,-5112,147568] 1 [28:160:1]
65072u (1 curve)	1	2- 7- 83+	2-  2  2 7- -1  2  6  1
Curve Equation t Generators 65072u1 [0,-1,0,-16872,-874768] 1 [908:27048:1]
65072v (1 curve)	0	2- 7- 83-	2-  0  0 7-  3  6  2 -1
Curve Equation t 65072v1 [0,0,0,-19355,2526538] 1
65072w (1 curve)	0	2- 7- 83-	2-  0  3 7-  0 -3  2  5
Curve Equation t 65072w1 [0,0,0,-26411,-1781542] 1
65072x (1 curve)	2	2- 7- 83-	2-  1  1 7- -5 -2 -3 -5
Curve Equation t Generators 65072x1 [0,1,0,-870,3107] 1 [31:83:1]&[-17083:147757:1331]
65072y (1 curve)	0	2- 7- 83-	2-  1  3 7- -1  2  1  1
Curve Equation t 65072y1 [0,1,0,-114,419] 1
65072z (1 curve)	2	2- 7- 83-	2- -2  1 7-  4 -5 -6 -5
Curve Equation t Generators 65072z1 [0,1,0,320,-204] 1 [10:-64:1]&[300:5214:1]

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