Cremona's table of elliptic curves

7840 = 2⁵ · 5 · 7²

Class	r	Atkin-Lehner	Eigenvalues
7840a (1 curve)	1	2+ 5+ 7+	2+  1 5+ 7+  2  2 -2  0
Curve Equation t Generators 7840a1 [0,1,0,-3201,-109201] 1 [115:1028:1]
7840b (1 curve)	1	2+ 5+ 7+	2+ -1 5+ 7+ -2  2 -2  0
Curve Equation t Generators 7840b1 [0,-1,0,-3201,109201] 1 [33:196:1]
7840c (1 curve)	0	2+ 5+ 7-	2+  1 5+ 7-  3  7  5  4
Curve Equation t 7840c1 [0,1,0,1699,-153301] 1
7840d (1 curve)	0	2+ 5+ 7-	2+  1 5+ 7- -5 -5  5  0
Curve Equation t 7840d1 [0,1,0,-72781,-13137125] 1
7840e (1 curve)	0	2+ 5+ 7-	2+ -1 5+ 7-  5 -5  5  0
Curve Equation t 7840e1 [0,-1,0,-72781,13137125] 1
7840f (1 curve)	0	2+ 5+ 7-	2+ -2 5+ 7-  3  1  2  1
Curve Equation t 7840f1 [0,1,0,-16,-36] 1
7840g (1 curve)	0	2+ 5- 7+	2+  2 5- 7+  3 -1 -2 -1
Curve Equation t 7840g1 [0,-1,0,-800,10760] 1
7840h (4 curves)	1	2+ 5- 7-	2+  0 5- 7-  4 -2 -6  4
Curve Equation t Generators 7840h1 [0,0,0,-637,-4116] 4 [875:25872:1] 7840h2 [0,0,0,-9212,-340256] 2 [1167320:34353312:1331] 7840h3 [0,0,0,-4067,96726] 4 [-70:196:1] 7840h4 [0,0,0,1813,-28126] 2 [23610:698984:27]
7840i (1 curve)	1	2+ 5- 7-	2+  1 5- 7-  1  1 -1  0
Curve Equation t Generators 7840i1 [0,1,0,-14765,686363] 1 [-19:980:1]
7840j (1 curve)	1	2+ 5- 7-	2+  1 5- 7- -2 -2  2  0
Curve Equation t Generators 7840j1 [0,1,0,-65,-337] 1 [11:20:1]
7840k (1 curve)	1	2+ 5- 7-	2+ -1 5- 7- -1  1 -1  0
Curve Equation t Generators 7840k1 [0,-1,0,-14765,-686363] 1 [159:980:1]
7840l (1 curve)	1	2+ 5- 7-	2+ -1 5- 7- -1 -3  7  4
Curve Equation t Generators 7840l1 [0,-1,0,-3005,78037] 1 [47:196:1]
7840m (1 curve)	1	2+ 5- 7-	2+ -1 5- 7-  2 -2  2  0
Curve Equation t Generators 7840m1 [0,-1,0,-65,337] 1 [9:-20:1]
7840n (2 curves)	1	2+ 5- 7-	2+  2 5- 7- -4  6 -2 -8
Curve Equation t Generators 7840n1 [0,-1,0,-310,-1980] 2 [624:1394:27] 7840n2 [0,-1,0,-65,-5263] 2 [37:204:1]
7840o (1 curve)	1	2+ 5- 7-	2+ -3 5- 7-  1  1  3 -8
Curve Equation t Generators 7840o1 [0,0,0,1465688,-670046384] 1 [3752:240100:1]
7840p (4 curves)	1	2- 5+ 7-	2-  0 5+ 7-  0  2 -2  8
Curve Equation t Generators 7840p1 [0,0,0,-40033,-3078768] 4 [1245369:8595600:4913] 7840p2 [0,0,0,-640283,-197199618] 2 [22281:3323670:1] 7840p3 [0,0,0,-52283,-1037918] 2 [-8316:120785:64] 7840p4 [0,0,0,-28028,-4961152] 2 [802:22100:1]
7840q (4 curves)	1	2- 5+ 7-	2-  0 5+ 7-  0  2 -2 -8
Curve Equation t Generators 7840q1 [0,0,0,-40033,3078768] 4 [281:3744:1] 7840q2 [0,0,0,-52283,1037918] 2 [329:4410:1] 7840q3 [0,0,0,-640283,197199618] 2 [14:13720:1] 7840q4 [0,0,0,-28028,4961152] 2 [-126:2548:1]
7840r (1 curve)	1	2- 5+ 7-	2- -1 5+ 7- -3  7  5 -4
Curve Equation t Generators 7840r1 [0,-1,0,1699,153301] 1 [-37:196:1]
7840s (1 curve)	1	2- 5+ 7-	2-  2 5+ 7- -3  1  2 -1
Curve Equation t Generators 7840s1 [0,-1,0,-16,36] 1 [0:6:1]
7840t (1 curve)	1	2- 5+ 7-	2-  3 5+ 7- -3 -1  1 -4
Curve Equation t Generators 7840t1 [0,0,0,392,-5488] 1 [336:980:27]
7840u (1 curve)	1	2- 5+ 7-	2- -3 5+ 7-  3 -1  1  4
Curve Equation t Generators 7840u1 [0,0,0,392,5488] 1 [28:196:1]
7840v (1 curve)	1	2- 5- 7+	2- -2 5- 7+ -3 -1 -2  1
Curve Equation t Generators 7840v1 [0,1,0,-800,-10760] 1 [34:50:1]
7840w (4 curves)	0	2- 5- 7-	2-  0 5- 7- -4 -2 -6 -4
Curve Equation t 7840w1 [0,0,0,-637,4116] 4 7840w2 [0,0,0,-4067,-96726] 2 7840w3 [0,0,0,-9212,340256] 4 7840w4 [0,0,0,1813,28126] 2
7840x (1 curve)	0	2- 5- 7-	2-  1 5- 7-  1 -3  7 -4
Curve Equation t 7840x1 [0,1,0,-3005,-78037] 1
7840y (2 curves)	0	2- 5- 7-	2- -2 5- 7-  4  6 -2  8
Curve Equation t 7840y1 [0,1,0,-310,1980] 2 7840y2 [0,1,0,-65,5263] 2
7840z (1 curve)	0	2- 5- 7-	2-  3 5- 7- -1  1  3  8
Curve Equation t 7840z1 [0,0,0,1465688,670046384] 1

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