Cremona's table of elliptic curves

22550 = 2 · 5² · 11 · 41

Class	r	Atkin-Lehner	Eigenvalues
22550a (2 curves)	1	2+ 5+ 11+ 41+	2+  2 5+  2 11+  0  4  4
Curve Equation t Generators 22550a1 [1,1,0,-69250,6112500] 2 [105:60:1] 22550a2 [1,1,0,-1069250,425112500] 2 [700:4150:1]
22550b (2 curves)	1	2+ 5+ 11+ 41+	2+  2 5+ -5 11+ -2  3  5
Curve Equation t Generators 22550b1 [1,1,0,-1600,24000] 1 [24:0:1] 22550b2 [1,1,0,1900,111500] 1 [-26:226:1]
22550c (1 curve)	0	2+ 5+ 11+ 41-	2+  3 5+ -3 11+  2  3 -1
Curve Equation t 22550c1 [1,-1,0,364058,6753716] 1
22550d (1 curve)	0	2+ 5+ 11+ 41-	2+ -3 5+  3 11+  2 -3  8
Curve Equation t 22550d1 [1,-1,0,-22,-44] 1
22550e (2 curves)	2	2+ 5+ 11- 41+	2+ -2 5+ -2 11- -4  0 -4
Curve Equation t Generators 22550e1 [1,0,1,-2751,-55102] 2 [-29:36:1]&[-28:26:1] 22550e2 [1,0,1,-5251,59898] 2 [-69:342:1]&[-58:441:1]
22550f (1 curve)	1	2+ 5+ 11- 41-	2+  0 5+  2 11- -1  4 -6
Curve Equation t Generators 22550f1 [1,-1,0,-363917,84608741] 1 [349:-37:1]
22550g (1 curve)	1	2+ 5+ 11- 41-	2+ -1 5+  3 11-  0 -1 -3
Curve Equation t Generators 22550g1 [1,1,0,-15524875,31666392125] 1 [123095:55395565:343]
22550h (2 curves)	1	2+ 5+ 11- 41-	2+  2 5+  0 11-  6 -4  0
Curve Equation t Generators 22550h1 [1,1,0,-2250,36500] 2 [65:380:1] 22550h2 [1,1,0,2750,181500] 2 [51:651:1]
22550i (1 curve)	1	2+ 5+ 11- 41-	2+  3 5+ -1 11- -4  7 -3
Curve Equation t Generators 22550i1 [1,-1,0,458,-56884] 1 [1173:5051:27]
22550j (2 curves)	2	2+ 5- 11+ 41+	2+  0 5-  2 11+ -4 -4 -4
Curve Equation t Generators 22550j1 [1,-1,0,-1492,94416] 2 [-55:116:1]&[8:284:1] 22550j2 [1,-1,0,-41492,3254416] 2 [-231:803:1]&[0:1804:1]
22550k (1 curve)	1	2+ 5- 11+ 41-	2+  0 5-  4 11+ -2 -7 -3
Curve Equation t Generators 22550k1 [1,-1,0,-152492,-22881584] 1 [-24228467025:12833956649:107171875]
22550l (1 curve)	1	2+ 5- 11+ 41-	2+  2 5- -1 11+  1  0  2
Curve Equation t Generators 22550l1 [1,1,0,-3575,207125] 1 [-65:445:1]
22550m (1 curve)	1	2+ 5- 11+ 41-	2+ -2 5-  1 11+ -5  0 -2
Curve Equation t Generators 22550m1 [1,0,1,-542451,158918798] 1 [656:8917:1]
22550n (2 curves)	1	2+ 5- 11+ 41-	2+ -2 5-  2 11+  2  3 -1
Curve Equation t Generators 22550n1 [1,0,1,-1687151,843347298] 3 [372:16161:1] 22550n2 [1,0,1,-1784526,740517248] 1 [140929308:6148630687:438976]
22550o (2 curves)	1	2+ 5- 11- 41+	2+  2 5- -4 11- -2  6  4
Curve Equation t Generators 22550o1 [1,1,0,220,-74800] 2 [1165:39205:1] 22550o2 [1,1,0,-25380,-1534000] 2 [200:1100:1]
22550p (2 curves)	1	2+ 5- 11- 41+	2+ -2 5-  2 11-  2 -3 -7
Curve Equation t Generators 22550p1 [1,0,1,-4701,122048] 3 [-48:511:1] 22550p2 [1,0,1,-39076,-2916702] 1 [-6988:17931:64]
22550q (2 curves)	0	2+ 5- 11- 41-	2+  1 5- -3 11-  6  7  0
Curve Equation t 22550q1 [1,0,1,-2251,-128402] 1 22550q2 [1,0,1,-97576,18247798] 1
22550r (1 curve)	0	2- 5+ 11+ 41+	2-  2 5+ -1 11+  6  7  1
Curve Equation t 22550r1 [1,1,1,-59538,9664031] 1
22550s (1 curve)	1	2- 5+ 11+ 41-	2-  0 5+ -4 11+  2  7 -3
Curve Equation t Generators 22550s1 [1,-1,1,-6100,-181833] 1 [-45:23:1]
22550t (1 curve)	1	2- 5+ 11+ 41-	2-  2 5+ -1 11+  5  0 -2
Curve Equation t Generators 22550t1 [1,1,1,-21698,1262671] 1 [221:2595:1]
22550u (2 curves)	1	2- 5+ 11+ 41-	2-  2 5+ -2 11+ -2 -3 -1
Curve Equation t Generators 22550u1 [1,1,1,-42178763,105418412281] 1 [3719:1338:1] 22550u2 [1,1,1,-44613138,92564656031] 1 [-5031:438067:1]
22550v (1 curve)	1	2- 5+ 11+ 41-	2-  2 5+ -4 11+ -1  0  4
Curve Equation t Generators 22550v1 [1,1,1,6437,38281] 1 [55:722:1]
22550w (1 curve)	1	2- 5+ 11+ 41-	2- -2 5+  1 11+ -1  0  2
Curve Equation t Generators 22550w1 [1,0,0,-143,1657] 1 [-2:45:1]
22550x (2 curves)	1	2- 5+ 11- 41+	2-  0 5+ -2 11- -4  6  0
Curve Equation t Generators 22550x1 [1,-1,1,-305980,65115647] 2 [59:6845:1] 22550x2 [1,-1,1,-205980,108315647] 2 [139:9005:1]
22550y (1 curve)	1	2- 5+ 11- 41+	2-  0 5+ -2 11-  5  0 -6
Curve Equation t Generators 22550y1 [1,-1,1,20,397] 1 [62:215:8]
22550z (1 curve)	1	2- 5+ 11- 41+	2-  1 5+  1 11- -4 -7  1
Curve Equation t Generators 22550z1 [1,0,0,-27088,-1726208] 1 [432:7984:1]
22550ba (2 curves)	1	2- 5+ 11- 41+	2-  2 5+ -2 11- -2  3 -7
Curve Equation t Generators 22550ba1 [1,1,1,-188,901] 1 [-1:33:1] 22550ba2 [1,1,1,-1563,-23959] 1 [-21:22:1]
22550bb (2 curves)	0	2- 5+ 11- 41-	2- -1 5+  3 11- -6 -7  0
Curve Equation t 22550bb1 [1,1,1,-3903,144421] 5 22550bb2 [1,1,1,-56263,-16050219] 1
22550bc (2 curves)	0	2- 5+ 11- 41-	2-  2 5+  4 11-  1  0 -4
Curve Equation t 22550bc1 [1,1,1,-16088,-812969] 1 22550bc2 [1,1,1,-1312713,-579445969] 1
22550bd (2 curves)	1	2- 5- 11+ 41+	2-  0 5- -2 11+  4  4 -4
Curve Equation t Generators 22550bd1 [1,-1,1,-60,767] 2 [5:21:1] 22550bd2 [1,-1,1,-1660,26367] 2 [9:105:1]
22550be (1 curve)	0	2- 5- 11+ 41-	2-  3 5- -3 11+ -2  3  8
Curve Equation t 22550be1 [1,-1,1,-555,-6053] 1
22550bf (2 curves)	0	2- 5- 11- 41+	2- -2 5-  4 11-  2 -6  4
Curve Equation t 22550bf1 [1,0,0,5487,-9360983] 2 22550bf2 [1,0,0,-634513,-190480983] 2

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