Cremona's table of elliptic curves

28400 = 2⁴ · 5² · 71

Class	r	Atkin-Lehner	Eigenvalues
28400a (2 curves)	1	2+ 5+ 71+	2+  0 5+ -2 -4 -4  0  4
Curve Equation t Generators 28400a1 [0,0,0,425,-2250] 2 [9:48:1] 28400a2 [0,0,0,-2075,-19750] 2 [-35:100:1]
28400b (2 curves)	1	2+ 5+ 71+	2+  0 5+  4  2  0 -2  0
Curve Equation t Generators 28400b1 [0,0,0,-1075,-42750] 2 [2610:46875:8] 28400b2 [0,0,0,-26075,-1617750] 2 [74310:1185625:216]
28400c (1 curve)	1	2+ 5+ 71+	2+ -1 5+  5 -2  1  2  3
Curve Equation t Generators 28400c1 [0,-1,0,-1808,30112] 1 [12:100:1]
28400d (2 curves)	0	2+ 5+ 71-	2+  0 5+ -2  0 -4  4 -4
Curve Equation t 28400d1 [0,0,0,-650450,-201914625] 2 28400d2 [0,0,0,-641575,-207692250] 2
28400e (1 curve)	0	2+ 5+ 71-	2+  3 5+  1 -6 -1  4 -7
Curve Equation t 28400e1 [0,0,0,-1075,7250] 1
28400f (1 curve)	0	2+ 5+ 71-	2+  3 5+ -1  2 -1 -2 -1
Curve Equation t 28400f1 [0,0,0,-421675,-27415750] 1
28400g (2 curves)	2	2- 5+ 71+	2-  0 5+  0 -6 -4 -6  8
Curve Equation t Generators 28400g1 [0,0,0,-475,26250] 2 [-25:150:1]&[10:150:1] 28400g2 [0,0,0,-16475,810250] 2 [-51:1232:1]&[45:400:1]
28400h (1 curve)	0	2- 5+ 71+	2- -1 5+  1  2  1  2  7
Curve Equation t 28400h1 [0,-1,0,-11008,384512] 1
28400i (1 curve)	0	2- 5+ 71+	2- -1 5+ -1  2  1  4  1
Curve Equation t 28400i1 [0,-1,0,-166408,-25404688] 1
28400j (2 curves)	0	2- 5+ 71+	2- -1 5+  3 -2  1 -8  5
Curve Equation t 28400j1 [0,-1,0,-442008,-97353488] 1 28400j2 [0,-1,0,-72542008,237835446512] 1
28400k (1 curve)	0	2- 5+ 71+	2- -1 5+  4 -1  4 -7  1
Curve Equation t 28400k1 [0,-1,0,-928,-11008] 1
28400l (1 curve)	0	2- 5+ 71+	2-  2 5+  2 -4  1  4 -8
Curve Equation t 28400l1 [0,-1,0,-1368,19952] 1
28400m (1 curve)	0	2- 5+ 71+	2-  2 5+ -2 -4 -5 -4  4
Curve Equation t 28400m1 [0,-1,0,4792,188912] 1
28400n (1 curve)	0	2- 5+ 71+	2-  2 5+  3  4  1 -2 -1
Curve Equation t 28400n1 [0,-1,0,-133,-1863] 1
28400o (1 curve)	0	2- 5+ 71+	2-  3 5+ -3  6  5 -6 -1
Curve Equation t 28400o1 [0,0,0,-1050475,-412699750] 1
28400p (1 curve)	2	2- 5+ 71+	2- -3 5+ -3  0 -1  0  5
Curve Equation t Generators 28400p1 [0,0,0,-4675,-98750] 1 [-50:100:1]&[-31:128:1]
28400q (2 curves)	1	2- 5+ 71-	2-  1 5+ -1  0  1  0  1
Curve Equation t Generators 28400q1 [0,1,0,-3208,-70412] 1 [78:400:1] 28400q2 [0,1,0,-23208,1313588] 1 [598:14200:1]
28400r (1 curve)	1	2- 5+ 71-	2- -1 5+ -1  2  3  6 -5
Curve Equation t Generators 28400r1 [0,-1,0,-608,3712] 1 [2:50:1]
28400s (1 curve)	1	2- 5+ 71-	2- -1 5+ -3  6  3  0  1
Curve Equation t Generators 28400s1 [0,-1,0,-28008,-1785488] 1 [-92:64:1]
28400t (1 curve)	1	2- 5+ 71-	2- -1 5+ -4 -5  4  5  1
Curve Equation t Generators 28400t1 [0,-1,0,-9130208,33396358912] 1 [-276870:25844426:125]
28400u (2 curves)	1	2- 5+ 71-	2-  2 5+ -4  4  4  8 -8
Curve Equation t Generators 28400u1 [0,-1,0,-633,5012] 2 [-134:825:8] 28400u2 [0,-1,0,-9508,360012] 2 [30462:290125:216]
28400v (2 curves)	1	2- 5+ 71-	2- -2 5+ -1  0 -5 -6  1
Curve Equation t Generators 28400v1 [0,1,0,1867,19363] 1 [-2:125:1] 28400v2 [0,1,0,-38133,2899363] 1 [198:1775:1]
28400w (1 curve)	1	2- 5- 71+	2-  0 5-  3 -2 -1  2  5
Curve Equation t Generators 28400w1 [0,0,0,-2000,-50000] 1 [736575:2742125:12167]
28400x (1 curve)	1	2- 5- 71+	2-  0 5- -3 -2  1 -2  5
Curve Equation t Generators 28400x1 [0,0,0,-80,-400] 1 [25:115:1]
28400y (1 curve)	1	2- 5- 71+	2-  1 5- -4 -1 -4  7  1
Curve Equation t Generators 28400y1 [0,1,0,-23208,-1422412] 1 [1342:48848:1]
28400z (1 curve)	1	2- 5- 71+	2- -2 5-  2 -4  5  4  4
Curve Equation t Generators 28400z1 [0,1,0,192,1588] 1 [-6:16:1]
28400ba (1 curve)	1	2- 5- 71+	2- -2 5- -2 -4 -1 -4 -8
Curve Equation t Generators 28400ba1 [0,1,0,-34208,2425588] 1 [58:-800:1]
28400bb (1 curve)	0	2- 5- 71-	2-  1 5-  4 -5 -4 -5  1
Curve Equation t 28400bb1 [0,1,0,-365208,267024788] 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