Cremona's table of elliptic curves

2800 = 2⁴ · 5² · 7

Class	r	Atkin-Lehner	Eigenvalues
2800a (4 curves)	1	2+ 5+ 7+	2+  0 5+ 7+  4 -2  6 -8
Curve Equation t Generators 2800a1 [0,0,0,25,-250] 2 [41:264:1] 2800a2 [0,0,0,-475,-3750] 4 [-11:12:1] 2800a3 [0,0,0,-7475,-248750] 2 [175:1950:1] 2800a4 [0,0,0,-1475,17250] 2 [-19:196:1]
2800b (1 curve)	1	2+ 5+ 7+	2+  1 5+ 7+  1  6 -7 -1
Curve Equation t Generators 2800b1 [0,1,0,-168,788] 1 [4:14:1]
2800c (1 curve)	1	2+ 5+ 7+	2+ -1 5+ 7+  5 -1 -3  6
Curve Equation t Generators 2800c1 [0,-1,0,-33,-563] 1 [12:25:1]
2800d (1 curve)	1	2+ 5+ 7+	2+  2 5+ 7+ -1 -4  0 -6
Curve Equation t Generators 2800d1 [0,-1,0,-28,147] 1 [3:9:1]
2800e (1 curve)	1	2+ 5+ 7+	2+ -2 5+ 7+ -5  0  8  2
Curve Equation t Generators 2800e1 [0,1,0,-208,-2037] 1 [29:131:1]
2800f (1 curve)	0	2+ 5+ 7-	2+  0 5+ 7- -1  2  4  2
Curve Equation t 2800f1 [0,0,0,625,-9375] 1
2800g (2 curves)	0	2+ 5+ 7-	2+  2 5+ 7-  0  0  2  2
Curve Equation t 2800g1 [0,-1,0,-8,512] 2 2800g2 [0,-1,0,-1008,12512] 2
2800h (1 curve)	0	2+ 5+ 7-	2+ -3 5+ 7-  5  5  7  2
Curve Equation t 2800h1 [0,0,0,-10300,-414500] 1
2800i (1 curve)	0	2+ 5- 7+	2+  0 5- 7+ -1 -2 -4  2
Curve Equation t 2800i1 [0,0,0,25,-75] 1
2800j (1 curve)	0	2+ 5- 7+	2+  1 5- 7+  1  1  3  4
Curve Equation t 2800j1 [0,1,0,7,-157] 1
2800k (1 curve)	1	2+ 5- 7-	2+ -1 5- 7-  1 -1 -3  4
Curve Equation t Generators 2800k1 [0,-1,0,167,-19963] 1 [92:875:1]
2800l (1 curve)	1	2+ 5- 7-	2+ -1 5- 7-  1 -6  7 -1
Curve Equation t Generators 2800l1 [0,-1,0,-4208,106912] 1 [92:700:1]
2800m (1 curve)	1	2+ 5- 7-	2+  2 5- 7- -5  0 -8  2
Curve Equation t Generators 2800m1 [0,-1,0,-8,-13] 1 [7:15:1]
2800n (1 curve)	1	2+ 5- 7-	2+ -2 5- 7- -1  4  0 -6
Curve Equation t Generators 2800n1 [0,1,0,-708,16963] 1 [33:175:1]
2800o (4 curves)	0	2- 5+ 7+	2-  0 5+ 7+ -4  6 -2  0
Curve Equation t 2800o1 [0,0,0,925,17250] 2 2800o2 [0,0,0,-7075,185250] 4 2800o3 [0,0,0,-35075,-2362750] 2 2800o4 [0,0,0,-107075,13485250] 2
2800p (1 curve)	0	2- 5+ 7+	2-  0 5+ 7+  5 -6  4  6
Curve Equation t 2800p1 [0,0,0,-5,-5] 1
2800q (1 curve)	0	2- 5+ 7+	2-  3 5+ 7+  5  3  1 -6
Curve Equation t 2800q1 [0,0,0,800,-26500] 1
2800r (1 curve)	0	2- 5+ 7+	2- -3 5+ 7+  5  6  1  3
Curve Equation t 2800r1 [0,0,0,-71875,-8018750] 1
2800s (3 curves)	1	2- 5+ 7-	2-  1 5+ 7-  3 -5 -3 -2
Curve Equation t Generators 2800s1 [0,1,0,-533,-5437] 1 [38:175:1] 2800s2 [0,1,0,3467,14563] 1 [78:875:1] 2800s3 [0,1,0,-52533,4830563] 1 [4026:15625:27]
2800t (2 curves)	1	2- 5+ 7-	2-  1 5+ 7- -3  1  3 -2
Curve Equation t Generators 2800t1 [0,1,0,-133,2863] 1 [3:50:1] 2800t2 [0,1,0,-20133,1092863] 1 [103:350:1]
2800u (2 curves)	1	2- 5+ 7-	2-  1 5+ 7- -3 -2 -3  7
Curve Equation t Generators 2800u1 [0,1,0,72,-172] 1 [22:112:1] 2800u2 [0,1,0,-728,10388] 1 [14:56:1]
2800v (6 curves)	1	2- 5+ 7-	2- -2 5+ 7-  0  4 -6 -2
Curve Equation t Generators 2800v1 [0,1,0,-208,-2412] 2 [34:176:1] 2800v2 [0,1,0,-4208,-106412] 2 [-38:8:1] 2800v3 [0,1,0,1792,49588] 2 [28:350:1] 2800v4 [0,1,0,-14208,529588] 2 [218:-2800:1] 2800v5 [0,1,0,-68208,6853588] 2 [148:150:1] 2800v6 [0,1,0,-1092208,438981588] 2 [594:384:1]
2800w (2 curves)	1	2- 5+ 7-	2- -2 5+ 7- -3  4  0 -2
Curve Equation t Generators 2800w1 [0,1,0,2,3] 1 [-1:1:1] 2800w2 [0,1,0,-98,343] 1 [7:7:1]
2800x (2 curves)	1	2- 5- 7+	2-  0 5- 7+  0  4  4 -4
Curve Equation t Generators 2800x1 [0,0,0,-80,275] 2 [1:14:1] 2800x2 [0,0,0,-55,450] 2 [10:30:1]
2800y (2 curves)	1	2- 5- 7+	2-  1 5- 7+  3 -1 -7  0
Curve Equation t Generators 2800y1 [0,1,0,27,83] 1 [-2:5:1] 2800y2 [0,1,0,-2373,-45517] 1 [478:10405:1]
2800z (2 curves)	1	2- 5- 7+	2- -1 5- 7+ -3  2  3  7
Curve Equation t Generators 2800z1 [0,-1,0,1792,-25088] 1 [42:350:1] 2800z2 [0,-1,0,-18208,1334912] 1 [58:686:1]
2800ba (2 curves)	1	2- 5- 7+	2-  2 5- 7+ -3 -4  0 -2
Curve Equation t Generators 2800ba1 [0,-1,0,42,287] 1 [17:75:1] 2800ba2 [0,-1,0,-2458,47787] 1 [33:39:1]
2800bb (1 curve)	1	2- 5- 7+	2- -3 5- 7+ -3  1 -5  8
Curve Equation t Generators 2800bb1 [0,0,0,-1000,-12500] 1 [50:250:1]
2800bc (2 curves)	0	2- 5- 7-	2-  0 5- 7-  0 -4 -4 -4
Curve Equation t 2800bc1 [0,0,0,-2000,34375] 2 2800bc2 [0,0,0,-1375,56250] 2
2800bd (1 curve)	0	2- 5- 7-	2-  0 5- 7-  5  6 -4  6
Curve Equation t 2800bd1 [0,0,0,-125,-625] 1
2800be (2 curves)	0	2- 5- 7-	2- -1 5- 7-  3  1  7  0
Curve Equation t 2800be1 [0,-1,0,667,9037] 1 2800be2 [0,-1,0,-59333,-5570963] 1
2800bf (1 curve)	0	2- 5- 7-	2-  3 5- 7- -3 -1  5  8
Curve Equation t 2800bf1 [0,0,0,-40,-100] 1
2800bg (1 curve)	0	2- 5- 7-	2-  3 5- 7-  5 -6 -1  3
Curve Equation t 2800bg1 [0,0,0,-2875,-64150] 1

Data from Elliptic Curve Data by J. E. Cremona.
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