Cremona's table of elliptic curves

6650 = 2 · 5² · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
6650a (1 curve)	1	2+ 5+ 7+ 19+	2+  0 5+ 7+ -5  1  5 19+
Curve Equation t Generators 6650a1 [1,-1,0,433,-659] 1 [9:58:1]
6650b (2 curves)	0	2+ 5+ 7+ 19-	2+ -1 5+ 7+  3  7  6 19-
Curve Equation t 6650b1 [1,1,0,-8257200,9128224000] 1 6650b2 [1,1,0,-18657200,-17941376000] 1
6650c (2 curves)	0	2+ 5+ 7+ 19-	2+  2 5+ 7+  0  1  6 19-
Curve Equation t 6650c1 [1,1,0,-1575,27125] 1 6650c2 [1,1,0,10925,-135375] 1
6650d (2 curves)	0	2+ 5+ 7+ 19-	2+  2 5+ 7+ -3  7 -3 19-
Curve Equation t 6650d1 [1,1,0,-40875,3312125] 1 6650d2 [1,1,0,219125,6652125] 1
6650e (1 curve)	0	2+ 5+ 7- 19+	2+ -1 5+ 7-  1  3 -2 19+
Curve Equation t 6650e1 [1,1,0,-13450,-563500] 1
6650f (1 curve)	0	2+ 5+ 7- 19+	2+  2 5+ 7-  1  3  7 19+
Curve Equation t 6650f1 [1,1,0,-1750,112500] 1
6650g (1 curve)	1	2+ 5+ 7- 19-	2+  0 5+ 7- -1  1  3 19-
Curve Equation t Generators 6650g1 [1,-1,0,-88817,11133341] 1 [229:1548:1]
6650h (1 curve)	1	2+ 5+ 7- 19-	2+ -3 5+ 7-  5  1  6 19-
Curve Equation t Generators 6650h1 [1,-1,0,-22,16] 1 [-2:8:1]
6650i (2 curves)	0	2+ 5- 7+ 19+	2+  1 5- 7+ -3  1  2 19+
Curve Equation t 6650i1 [1,0,1,-5001,-136152] 1 6650i2 [1,0,1,-188826,31561548] 1
6650j (2 curves)	0	2+ 5- 7+ 19+	2+ -2 5- 7+  4  2 -6 19+
Curve Equation t 6650j1 [1,0,1,-1629916,800796378] 2 6650j2 [1,0,1,-1629716,801002778] 2
6650k (1 curve)	0	2+ 5- 7+ 19+	2+  3 5- 7+ -6  2 -1 19+
Curve Equation t 6650k1 [1,-1,0,-232,-1324] 1
6650l (2 curves)	1	2+ 5- 7+ 19-	2+  1 5- 7+  2  6 -3 19-
Curve Equation t Generators 6650l1 [1,0,1,-723201,-236780952] 1 [8015337:611435416:1331] 6650l2 [1,0,1,-398826,-449548452] 1 [5277:377361:1]
6650m (1 curve)	1	2+ 5- 7- 19+	2+ -1 5- 7- -2 -2 -3 19+
Curve Equation t Generators 6650m1 [1,1,0,550,-3500] 1 [60:470:1]
6650n (1 curve)	1	2+ 5- 7- 19+	2+ -1 5- 7-  3  3  2 19+
Curve Equation t Generators 6650n1 [1,1,0,-61950,4886500] 1 [-240:2570:1]
6650o (2 curves)	0	2+ 5- 7- 19-	2+  1 5- 7-  3  5 -6 19-
Curve Equation t 6650o1 [1,0,1,-2201,29548] 3 6650o2 [1,0,1,-61576,-5884202] 1
6650p (2 curves)	0	2+ 5- 7- 19-	2+  2 5- 7-  4  6  6 19-
Curve Equation t 6650p1 [1,1,0,-10,0] 2 6650p2 [1,1,0,40,50] 2
6650q (2 curves)	0	2+ 5- 7- 19-	2+ -2 5- 7-  0  5  6 19-
Curve Equation t 6650q1 [1,0,1,-203701,35370048] 3 6650q2 [1,0,1,-73076,79901298] 1
6650r (4 curves)	0	2- 5+ 7+ 19+	2-  0 5+ 7+  4 -2  2 19+
Curve Equation t 6650r1 [1,-1,1,-880,1747] 4 6650r2 [1,-1,1,-8880,-318253] 4 6650r3 [1,-1,1,-141880,-20534253] 2 6650r4 [1,-1,1,-3880,-678253] 2
6650s (1 curve)	0	2- 5+ 7+ 19+	2-  1 5+ 7+  3 -3 -2 19+
Curve Equation t 6650s1 [1,0,0,-2478,39092] 1
6650t (2 curves)	1	2- 5+ 7+ 19-	2- -1 5+ 7+  0  4 -3 19-
Curve Equation t Generators 6650t1 [1,1,1,-8588,302781] 1 [55:-53:1] 6650t2 [1,1,1,1037,943281] 1 [165:-2458:1]
6650u (2 curves)	1	2- 5+ 7+ 19-	2- -1 5+ 7+  3 -5  6 19-
Curve Equation t Generators 6650u1 [1,1,1,-88,201] 1 [-9:23:1] 6650u2 [1,1,1,-2463,-48059] 1 [-29:18:1]
6650v (2 curves)	1	2- 5+ 7+ 19-	2-  2 5+ 7+  0 -5 -6 19-
Curve Equation t Generators 6650v1 [1,1,1,-8148,279701] 1 [69:193:1] 6650v2 [1,1,1,-2923,638041] 1 [19:758:1]
6650w (2 curves)	1	2- 5+ 7+ 19-	2-  2 5+ 7+ -3 -5  3 19-
Curve Equation t Generators 6650w1 [1,1,1,-88,1531] 1 [110:391:8] 6650w2 [1,1,1,787,-40469] 1 [125:1362:1]
6650x (1 curve)	1	2- 5+ 7- 19+	2-  1 5+ 7-  0 -4 -7 19+
Curve Equation t Generators 6650x1 [1,0,0,62912,12193792] 1 [1032:-34816:1]
6650y (2 curves)	1	2- 5+ 7- 19+	2- -1 5+ 7- -3 -1 -2 19+
Curve Equation t Generators 6650y1 [1,1,1,-7553,249471] 5 [-89:520:1] 6650y2 [1,1,1,-125013,-17018969] 1 [-701715:1016998:3375]
6650z (1 curve)	1	2- 5+ 7- 19+	2- -2 5+ 7- -3 -1  5 19+
Curve Equation t Generators 6650z1 [1,0,0,-10213,396417] 1 [62:-81:1]
6650ba (1 curve)	0	2- 5+ 7- 19-	2-  3 5+ 7-  0  4 -1 19-
Curve Equation t 6650ba1 [1,-1,1,-480,16147] 1
6650bb (1 curve)	1	2- 5- 7+ 19+	2-  1 5- 7+  1 -3  2 19+
Curve Equation t Generators 6650bb1 [1,0,0,-538,-4508] 1 [-12:22:1]
6650bc (1 curve)	1	2- 5- 7+ 19+	2-  1 5- 7+ -2  2  3 19+
Curve Equation t Generators 6650bc1 [1,0,0,22,-28] 1 [2:4:1]
6650bd (2 curves)	0	2- 5- 7+ 19-	2- -2 5- 7+  4 -6 -6 19-
Curve Equation t 6650bd1 [1,0,0,-263,517] 2 6650bd2 [1,0,0,987,4267] 2
6650be (1 curve)	0	2- 5- 7+ 19-	2-  3 5- 7+  5 -1 -6 19-
Curve Equation t 6650be1 [1,-1,1,-555,1447] 1
6650bf (2 curves)	0	2- 5- 7- 19+	2-  2 5- 7-  4 -2  6 19+
Curve Equation t 6650bf1 [1,1,1,-40747888,100099547281] 2 6650bf2 [1,1,1,-40742888,100125347281] 2
6650bg (1 curve)	0	2- 5- 7- 19+	2- -3 5- 7- -6 -2  1 19+
Curve Equation t 6650bg1 [1,-1,1,-5805,-171303] 1
6650bh (2 curves)	1	2- 5- 7- 19-	2-  1 5- 7-  3 -7 -6 19-
Curve Equation t Generators 6650bh1 [1,0,0,-330288,73025792] 3 [-128:10704:1] 6650bh2 [1,0,0,-746288,-143531008] 1 [-214:2634:1]
6650bi (2 curves)	1	2- 5- 7- 19-	2- -1 5- 7-  2 -6  3 19-
Curve Equation t Generators 6650bi1 [1,1,1,-28928,-1905819] 1 [7095:76189:27] 6650bi2 [1,1,1,-15953,-3602769] 5 [295:4032:1]
6650bj (2 curves)	1	2- 5- 7- 19-	2- -2 5- 7-  0 -1 -6 19-
Curve Equation t Generators 6650bj1 [1,0,0,-63,217] 3 [-8:19:1] 6650bj2 [1,0,0,437,-1083] 1 [38:247:1]

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