Cremona's table of elliptic curves

51800 = 2³ · 5² · 7 · 37

Class	r	Atkin-Lehner	Eigenvalues
51800a (1 curve)	0	2+ 5+ 7- 37+	2+  2 5+ 7-  0 -2  4 -3
Curve Equation t 51800a1 [0,-1,0,-568,-5508] 1
51800b (2 curves)	1	2+ 5+ 7- 37-	2+  0 5+ 7- -4  4  0  2
Curve Equation t Generators 51800b1 [0,0,0,-422050,-105534375] 2 [-823992:-5439:2197] 51800b2 [0,0,0,-421175,-105993750] 2 [172681041:-9061838128:59319]
51800c (1 curve)	1	2+ 5+ 7- 37-	2+  0 5+ 7-  5  1 -6 -4
Curve Equation t Generators 51800c1 [0,0,0,-820700,286844500] 1 [1074:25382:1]
51800d (1 curve)	1	2+ 5+ 7- 37-	2+ -1 5+ 7- -4  6  2 -5
Curve Equation t Generators 51800d1 [0,-1,0,-380408,-90180563] 1 [758:7511:1]
51800e (1 curve)	2	2+ 5- 7+ 37+	2+ -1 5- 7+ -4  2  0  1
Curve Equation t Generators 51800e1 [0,-1,0,-28,77] 1 [-2:11:1]&[2:-5:1]
51800f (1 curve)	1	2+ 5- 7- 37+	2+ -1 5- 7- -4  4  6  5
Curve Equation t Generators 51800f1 [0,-1,0,19292,433037] 1 [17:875:1]
51800g (1 curve)	0	2+ 5- 7- 37-	2+  0 5- 7- -4 -1  0 -8
Curve Equation t 51800g1 [0,0,0,2125,-31250] 1
51800h (1 curve)	0	2+ 5- 7- 37-	2+  1 5- 7-  0  6 -2 -6
Curve Equation t 51800h1 [0,1,0,392,5488] 1
51800i (1 curve)	0	2+ 5- 7- 37-	2+  1 5- 7-  3  5  7 -2
Curve Equation t 51800i1 [0,1,0,-4593,-121357] 1
51800j (1 curve)	0	2+ 5- 7- 37-	2+ -1 5- 7-  4 -4 -2 -1
Curve Equation t 51800j1 [0,-1,0,-67208,-6683963] 1
51800k (1 curve)	2	2- 5+ 7+ 37+	2- -1 5+ 7+  0 -4 -8  5
Curve Equation t Generators 51800k1 [0,-1,0,-8,-863] 1 [12:25:1]&[32:175:1]
51800l (1 curve)	0	2- 5+ 7+ 37+	2- -1 5+ 7+  0 -6  2 -6
Curve Equation t 51800l1 [0,-1,0,9792,666412] 1
51800m (1 curve)	1	2- 5+ 7+ 37-	2-  1 5+ 7+ -5 -3  3  0
Curve Equation t Generators 51800m1 [0,1,0,1367,-7637] 1 [9:74:1]
51800n (1 curve)	1	2- 5+ 7- 37+	2- -1 5+ 7-  3  7 -7  0
Curve Equation t Generators 51800n1 [0,-1,0,48967,-354000563] 1 [2447:120050:1]
51800o (1 curve)	1	2- 5+ 7- 37+	2-  3 5+ 7- -4 -2 -2 -3
Curve Equation t Generators 51800o1 [0,0,0,1325,-11125] 1 [570:4375:27]
51800p (1 curve)	0	2- 5+ 7- 37-	2-  0 5+ 7- -3  5 -6  4
Curve Equation t 51800p1 [0,0,0,100,-1500] 1
51800q (2 curves)	0	2- 5+ 7- 37-	2-  0 5+ 7-  4  0  4  2
Curve Equation t 51800q1 [0,0,0,-250,1125] 2 51800q2 [0,0,0,625,7250] 2
51800r (1 curve)	0	2- 5+ 7- 37-	2-  2 5+ 7-  6  3 -8  2
Curve Equation t 51800r1 [0,-1,0,-15008,716012] 1
51800s (2 curves)	0	2- 5+ 7- 37-	2- -2 5+ 7-  4  6  4  4
Curve Equation t 51800s1 [0,1,0,392,-131712] 2 51800s2 [0,1,0,-36608,-2647712] 2
51800t (1 curve)	0	2- 5+ 7- 37-	2-  3 5+ 7-  4 -6 -2 -1
Curve Equation t 51800t1 [0,0,0,15425,-72744625] 1
51800u (1 curve)	1	2- 5- 7+ 37+	2-  0 5- 7+ -4  1  0 -8
Curve Equation t Generators 51800u1 [0,0,0,85,-250] 1 [10:40:1]
51800v (1 curve)	1	2- 5- 7+ 37+	2-  1 5- 7+  4  4  2 -1
Curve Equation t Generators 51800v1 [0,1,0,-2688,-54547] 1 [322:5707:1]
51800w (1 curve)	1	2- 5- 7+ 37+	2- -1 5- 7+  3 -5 -7 -2
Curve Equation t Generators 51800w1 [0,-1,0,-114833,-14939963] 1 [467:5750:1]
51800x (1 curve)	2	2- 5- 7+ 37-	2-  1 5- 7+ -4 -4 -6  5
Curve Equation t Generators 51800x1 [0,1,0,772,3773] 1 [2:73:1]&[23:185:1]
51800y (1 curve)	0	2- 5- 7+ 37-	2- -2 5- 7+  0  2 -4 -3
Curve Equation t 51800y1 [0,1,0,-14208,-716912] 1
51800z (1 curve)	1	2- 5- 7- 37-	2-  1 5- 7- -4 -2  0  1
Curve Equation t Generators 51800z1 [0,1,0,-708,8213] 1 [-17:125:1]

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