Cremona's table of elliptic curves

58400 = 2⁵ · 5² · 73

Class	r	Atkin-Lehner	Eigenvalues
58400a (1 curve)	2	2+ 5+ 73-	2+  1 5+ -1 -5  0  2 -8
Curve Equation t Generators 58400a1 [0,1,0,-408,1688] 1 [-2:50:1]&[22:62:1]
58400b (1 curve)	0	2+ 5+ 73-	2+ -1 5+  1  5  0  2  8
Curve Equation t 58400b1 [0,-1,0,-408,-1688] 1
58400c (1 curve)	0	2+ 5- 73+	2+  0 5-  4 -4  0 -3 -1
Curve Equation t 58400c1 [0,0,0,-155,-750] 1
58400d (1 curve)	0	2+ 5- 73+	2+  3 5-  3 -3  4  2 -6
Curve Equation t 58400d1 [0,0,0,-23875,-1056250] 1
58400e (1 curve)	0	2+ 5- 73+	2+ -3 5- -3  3  4  2  6
Curve Equation t 58400e1 [0,0,0,-23875,1056250] 1
58400f (1 curve)	1	2+ 5- 73-	2+  0 5-  4  4  0  3  1
Curve Equation t Generators 58400f1 [0,0,0,-3875,93750] 1 [125:1250:1]
58400g (1 curve)	1	2+ 5- 73-	2+  2 5-  4 -5  0  4  2
Curve Equation t Generators 58400g1 [0,-1,0,1167,5537] 1 [3584:46983:343]
58400h (1 curve)	1	2+ 5- 73-	2+ -2 5- -4  5  0  4 -2
Curve Equation t Generators 58400h1 [0,1,0,1167,-5537] 1 [9:76:1]
58400i (2 curves)	0	2- 5+ 73+	2-  0 5+  2  2  6  6  4
Curve Equation t 58400i1 [0,0,0,-38020825,-90236121000] 2 58400i2 [0,0,0,-38020700,-90236744000] 2
58400j (2 curves)	0	2- 5+ 73+	2-  0 5+ -2 -2  6  6 -4
Curve Equation t 58400j1 [0,0,0,-38020825,90236121000] 2 58400j2 [0,0,0,-38020700,90236744000] 2
58400k (2 curves)	0	2- 5+ 73+	2-  0 5+  4 -2  0 -6 -4
Curve Equation t 58400k1 [0,0,0,-625,-6000] 2 58400k2 [0,0,0,-875,-750] 2
58400l (2 curves)	0	2- 5+ 73+	2-  0 5+ -4  2  0 -6  4
Curve Equation t 58400l1 [0,0,0,-625,6000] 2 58400l2 [0,0,0,-875,750] 2
58400m (1 curve)	2	2- 5+ 73+	2-  1 5+ -1 -5 -6  2  2
Curve Equation t Generators 58400m1 [0,1,0,-25008,1512488] 1 [-2:1250:1]&[94:34:1]
58400n (1 curve)	0	2- 5+ 73+	2- -1 5+  1  5 -6  2 -2
Curve Equation t 58400n1 [0,-1,0,-25008,-1512488] 1
58400o (1 curve)	0	2- 5+ 73+	2-  2 5+  4  5  0 -4 -2
Curve Equation t 58400o1 [0,-1,0,47,-63] 1
58400p (1 curve)	2	2- 5+ 73+	2- -2 5+ -4 -5  0 -4  2
Curve Equation t Generators 58400p1 [0,1,0,47,63] 1 [-1:4:1]&[2:13:1]
58400q (1 curve)	1	2- 5- 73+	2-  0 5- -4  4  0 -3  1
Curve Equation t Generators 58400q1 [0,0,0,-155,750] 1 [5:10:1]
58400r (1 curve)	0	2- 5- 73-	2-  0 5- -4 -4  0  3 -1
Curve Equation t 58400r1 [0,0,0,-3875,-93750] 1
58400s (1 curve)	0	2- 5- 73-	2-  3 5-  3  3 -4 -2  6
Curve Equation t 58400s1 [0,0,0,-955,8450] 1
58400t (1 curve)	2	2- 5- 73-	2- -3 5- -3 -3 -4 -2 -6
Curve Equation t Generators 58400t1 [0,0,0,-955,-8450] 1 [41:-146:1]&[-10:10:1]

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