Cremona's table of elliptic curves

21350 = 2 · 5² · 7 · 61

Class	r	Atkin-Lehner	Eigenvalues
21350a (1 curve)	1	2+ 5+ 7+ 61+	2+  1 5+ 7+  1  4  1 -5
Curve Equation t Generators 21350a1 [1,0,1,-9976,174598] 1 [17:91:1]
21350b (2 curves)	1	2+ 5+ 7+ 61+	2+  2 5+ 7+  0  2 -2  4
Curve Equation t Generators 21350b1 [1,1,0,-2025,-26875] 2 [-31:101:1] 21350b2 [1,1,0,-30025,-2014875] 2 [-72999:45629:729]
21350c (2 curves)	0	2+ 5+ 7+ 61-	2+ -1 5+ 7+ -3  4  3 -7
Curve Equation t 21350c1 [1,1,0,-55401500,158694634000] 1 21350c2 [1,1,0,-87589000,-45982553500] 1
21350d (2 curves)	0	2+ 5+ 7+ 61-	2+  2 5+ 7+  0 -5  3 -7
Curve Equation t 21350d1 [1,1,0,14375,-46875] 1 21350d2 [1,1,0,-205625,-38066875] 1
21350e (2 curves)	0	2+ 5+ 7+ 61-	2+  2 5+ 7+  6 -2  3  2
Curve Equation t 21350e1 [1,1,0,40,320] 1 21350e2 [1,1,0,-360,-9040] 1
21350f (1 curve)	0	2+ 5+ 7- 61+	2+  0 5+ 7- -2  3 -5  3
Curve Equation t 21350f1 [1,-1,0,6478558,-88569586284] 1
21350g (4 curves)	1	2+ 5+ 7- 61-	2+  0 5+ 7-  0  2 -2  4
Curve Equation t Generators 21350g1 [1,-1,0,-9917,332741] 2 [29:248:1] 21350g2 [1,-1,0,-41917,-2963259] 4 [539:11168:1] 21350g3 [1,-1,0,56083,-14821259] 2 [249:3688:1] 21350g4 [1,-1,0,-651917,-202433259] 2 [-466:283:1]
21350h (1 curve)	1	2+ 5+ 7- 61-	2+  1 5+ 7- -5  0  3 -1
Curve Equation t Generators 21350h1 [1,0,1,-326,1048] 1 [37:181:1]
21350i (1 curve)	1	2+ 5+ 7- 61-	2+  1 5+ 7- -5  0  7 -5
Curve Equation t Generators 21350i1 [1,0,1,-81,1188] 1 [6:27:1]
21350j (1 curve)	1	2+ 5+ 7- 61-	2+ -1 5+ 7- -5 -6 -3  3
Curve Equation t Generators 21350j1 [1,1,0,-17650,-647500] 1 [-76:550:1]
21350k (1 curve)	1	2+ 5+ 7- 61-	2+ -3 5+ 7-  3 -4 -5  7
Curve Equation t Generators 21350k1 [1,-1,0,-59414167,240874465981] 1 [313913:-175983387:1]
21350l (2 curves)	0	2+ 5- 7+ 61+	2+  0 5- 7+  2  4 -2  0
Curve Equation t 21350l1 [1,-1,0,-381242,-90509084] 2 21350l2 [1,-1,0,-378742,-91756584] 2
21350m (1 curve)	0	2+ 5- 7+ 61+	2+  2 5- 7+  0 -4 -1  0
Curve Equation t 21350m1 [1,1,0,-8325,-520375] 1
21350n (2 curves)	1	2+ 5- 7- 61+	2+  0 5- 7-  0  0  2 -4
Curve Equation t Generators 21350n1 [1,-1,0,-2492,38416] 2 [0:196:1] 21350n2 [1,-1,0,-37492,2803416] 2 [125:179:1]
21350o (1 curve)	0	2+ 5- 7- 61-	2+  2 5- 7- -2  6  5  2
Curve Equation t 21350o1 [1,1,0,-1599075,777642125] 1
21350p (1 curve)	0	2- 5+ 7+ 61+	2-  2 5+ 7+  0 -1  5  1
Curve Equation t 21350p1 [1,1,1,-63,1031] 1
21350q (1 curve)	0	2- 5+ 7+ 61+	2-  3 5+ 7+ -3  6  7 -5
Curve Equation t 21350q1 [1,-1,1,-1755,22747] 1
21350r (3 curves)	1	2- 5+ 7+ 61-	2- -1 5+ 7+ -3  4  3 -7
Curve Equation t Generators 21350r1 [1,1,1,-67638,6742531] 1 [145:27:1] 21350r2 [1,1,1,-70013,6240531] 1 [-45:3072:1] 21350r3 [1,1,1,-1404388,-640344219] 1 [-675:1137:1]
21350s (4 curves)	1	2- 5+ 7+ 61-	2-  2 5+ 7+  0 -2 -6  8
Curve Equation t Generators 21350s1 [1,1,1,-9688,-74219] 2 [8500:59843:64] 21350s2 [1,1,1,-95438,11244781] 2 [262138140:713385449:1259712] 21350s3 [1,1,1,-591563,-175371719] 2 [1175:26862:1] 21350s4 [1,1,1,-598563,-171017719] 2 [7065:586642:1]
21350t (1 curve)	1	2- 5+ 7+ 61-	2- -2 5+ 7+ -2 -6 -5  2
Curve Equation t Generators 21350t1 [1,0,0,-63963,6221137] 1 [158:177:1]
21350u (1 curve)	1	2- 5+ 7- 61+	2- -1 5+ 7-  3  0 -3 -3
Curve Equation t Generators 21350u1 [1,1,1,-18038,924531] 1 [25:687:1]
21350v (1 curve)	1	2- 5+ 7- 61+	2- -2 5+ 7-  0  4  1  0
Curve Equation t Generators 21350v1 [1,0,0,-333,-4163] 1 [38:177:1]
21350w (1 curve)	0	2- 5+ 7- 61-	2-  1 5+ 7- -1  0 -1  7
Curve Equation t 21350w1 [1,0,0,-1313,17117] 1
21350x (2 curves)	1	2- 5- 7+ 61+	2-  0 5- 7+  0  0 -2 -4
Curve Equation t Generators 21350x1 [1,-1,1,-100,327] 2 [3:5:1] 21350x2 [1,-1,1,-1500,22727] 2 [23:-9:1]
21350y (1 curve)	2	2- 5- 7+ 61-	2- -1 5- 7+ -5  0 -7 -5
Curve Equation t Generators 21350y1 [1,1,1,-2013,148531] 1 [-261351755:1141887204:4330747]&[-31:442:1]
21350z (1 curve)	0	2- 5- 7+ 61-	2-  3 5- 7+  3  4  5  7
Curve Equation t 21350z1 [1,-1,1,-1485354180,30107822893447] 1
21350ba (2 curves)	0	2- 5- 7- 61+	2-  0 5- 7-  2 -4  2  0
Curve Equation t 21350ba1 [1,-1,1,-15250,-721023] 2 21350ba2 [1,-1,1,-15150,-731023] 2
21350bb (2 curves)	1	2- 5- 7- 61-	2- -2 5- 7-  6  2 -3  2
Curve Equation t Generators 21350bb1 [1,0,0,987,38017] 3 [-22:87:1] 21350bb2 [1,0,0,-9013,-1111983] 1 [136:359:1]

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