Cremona's table of elliptic curves

5824 = 2⁶ · 7 · 13

Class	r	Atkin-Lehner	Eigenvalues
5824a (1 curve)	1	2+ 7+ 13+	2+  0  1 7+ -2 13+  0  7
Curve Equation t Generators 5824a1 [0,0,0,-272,-1888] 1 [2405:121:125]
5824b (4 curves)	1	2+ 7+ 13+	2+  0  2 7+  4 13+  2 -4
Curve Equation t Generators 5824b1 [0,0,0,1,-68] 2 [7672:36210:343] 5824b2 [0,0,0,-244,-1440] 4 [90:840:1] 5824b3 [0,0,0,-3884,-93168] 2 [2703:19495:27] 5824b4 [0,0,0,-524,2480] 2 [22:40:1]
5824c (1 curve)	1	2+ 7+ 13+	2+ -1 -4 7+  1 13+  4 -2
Curve Equation t Generators 5824c1 [0,-1,0,-294945,61860001] 1 [345:1024:1]
5824d (1 curve)	1	2+ 7+ 13+	2+  2 -1 7+  4 13+ -2  1
Curve Equation t Generators 5824d1 [0,-1,0,-21,77] 1 [-4:9:1]
5824e (4 curves)	0	2+ 7+ 13-	2+  0 -2 7+ -4 13- -6  0
Curve Equation t 5824e1 [0,0,0,55444,3410864] 2 5824e2 [0,0,0,-272236,30018480] 4 5824e3 [0,0,0,-2002796,-1069925456] 2 5824e4 [0,0,0,-3784556,2832849840] 4
5824f (1 curve)	0	2+ 7+ 13-	2+  0  3 7+  6 13-  4 -5
Curve Equation t 5824f1 [0,0,0,4,2] 1
5824g (1 curve)	0	2+ 7+ 13-	2+ -3  4 7+ -1 13-  0  6
Curve Equation t 5824g1 [0,0,0,212,-2000] 1
5824h (4 curves)	0	2+ 7- 13+	2+  0  2 7- -4 13+  2  4
Curve Equation t 5824h1 [0,0,0,1,68] 2 5824h2 [0,0,0,-244,1440] 4 5824h3 [0,0,0,-524,-2480] 2 5824h4 [0,0,0,-3884,93168] 2
5824i (3 curves)	0	2+ 7- 13+	2+ -1  0 7-  3 13+  0 -2
Curve Equation t 5824i1 [0,-1,0,447,-4031] 1 5824i2 [0,-1,0,-12353,-527807] 1 5824i3 [0,-1,0,-1002433,-385971775] 1
5824j (3 curves)	0	2+ 7- 13+	2+  2  3 7-  0 13+ -6  7
Curve Equation t 5824j1 [0,-1,0,-29,71] 1 5824j2 [0,-1,0,51,287] 1 5824j3 [0,-1,0,-469,-9489] 1
5824k (1 curve)	1	2+ 7- 13-	2+  0  3 7-  2 13- -4  1
Curve Equation t Generators 5824k1 [0,0,0,-2336,43552] 1 [33:49:1]
5824l (1 curve)	1	2+ 7- 13-	2+  1  0 7- -3 13-  4 -2
Curve Equation t Generators 5824l1 [0,1,0,-33,-193] 1 [19:80:1]
5824m (1 curve)	1	2+ 7- 13-	2+  2  1 7- -4 13- -6 -1
Curve Equation t Generators 5824m1 [0,-1,0,-5,413] 1 [4:21:1]
5824n (1 curve)	1	2+ 7- 13-	2+ -2 -3 7-  0 13- -2 -5
Curve Equation t Generators 5824n1 [0,1,0,4283,72291] 1 [-10:169:1]
5824o (1 curve)	1	2+ 7- 13-	2+ -3  0 7-  5 13- -4 -2
Curve Equation t Generators 5824o1 [0,0,0,-1420,449776] 1 [222:3328:1]
5824p (3 curves)	0	2- 7+ 13+	2-  1  0 7+ -3 13+  0  2
Curve Equation t 5824p1 [0,1,0,447,4031] 1 5824p2 [0,1,0,-12353,527807] 1 5824p3 [0,1,0,-1002433,385971775] 1
5824q (1 curve)	0	2- 7+ 13+	2-  1 -4 7+  5 13+  0 -2
Curve Equation t 5824q1 [0,1,0,-385,-3041] 1
5824r (1 curve)	0	2- 7+ 13+	2- -1  0 7+  1 13+  4 -6
Curve Equation t 5824r1 [0,-1,0,2527,-21119] 1
5824s (3 curves)	0	2- 7+ 13+	2- -2  3 7+  0 13+ -6 -7
Curve Equation t 5824s1 [0,1,0,-29,-71] 1 5824s2 [0,1,0,51,-287] 1 5824s3 [0,1,0,-469,9489] 1
5824t (1 curve)	1	2- 7+ 13-	2-  0  3 7+ -2 13- -4 -1
Curve Equation t Generators 5824t1 [0,0,0,-2336,-43552] 1 [13738237:43536257:226981]
5824u (1 curve)	1	2- 7+ 13-	2- -1  0 7+  3 13-  4  2
Curve Equation t Generators 5824u1 [0,-1,0,-33,193] 1 [-3:16:1]
5824v (1 curve)	1	2- 7+ 13-	2-  2 -3 7+  0 13- -2  5
Curve Equation t Generators 5824v1 [0,-1,0,4283,-72291] 1 [348:6591:1]
5824w (1 curve)	1	2- 7+ 13-	2- -2  1 7+  4 13- -6  1
Curve Equation t Generators 5824w1 [0,1,0,-5,-413] 1 [22:103:1]
5824x (1 curve)	1	2- 7+ 13-	2-  3  0 7+ -5 13- -4  2
Curve Equation t Generators 5824x1 [0,0,0,-1420,-449776] 1 [3990:43264:27]
5824y (1 curve)	1	2- 7- 13+	2-  0  1 7-  2 13+  0 -7
Curve Equation t Generators 5824y1 [0,0,0,-272,1888] 1 [9:13:1]
5824z (1 curve)	1	2- 7- 13+	2-  1  0 7- -1 13+  4  6
Curve Equation t Generators 5824z1 [0,1,0,2527,21119] 1 [35:392:1]
5824ba (1 curve)	1	2- 7- 13+	2-  1 -4 7- -1 13+  4  2
Curve Equation t Generators 5824ba1 [0,1,0,-294945,-61860001] 1 [679:7168:1]
5824bb (1 curve)	1	2- 7- 13+	2- -1 -4 7- -5 13+  0  2
Curve Equation t Generators 5824bb1 [0,-1,0,-385,3041] 1 [13:8:1]
5824bc (1 curve)	1	2- 7- 13+	2- -2 -1 7- -4 13+ -2 -1
Curve Equation t Generators 5824bc1 [0,1,0,-21,-77] 1 [6:7:1]
5824bd (4 curves)	0	2- 7- 13-	2-  0 -2 7-  4 13- -6  0
Curve Equation t 5824bd1 [0,0,0,55444,-3410864] 2 5824bd2 [0,0,0,-272236,-30018480] 4 5824bd3 [0,0,0,-3784556,-2832849840] 2 5824bd4 [0,0,0,-2002796,1069925456] 4
5824be (1 curve)	0	2- 7- 13-	2-  0  3 7- -6 13-  4  5
Curve Equation t 5824be1 [0,0,0,4,-2] 1
5824bf (1 curve)	0	2- 7- 13-	2-  3  4 7-  1 13-  0 -6
Curve Equation t 5824bf1 [0,0,0,212,2000] 1

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