Cremona's table of elliptic curves

81650 = 2 · 5² · 23 · 71

Class	r	Atkin-Lehner	Eigenvalues
81650a (1 curve)	1	2+ 5+ 23+ 71+	2+  1 5+ -2  3  2  3 -7
Curve Equation t Generators 81650a1 [1,0,1,9049,104548] 1 [58:879:1]
81650b (1 curve)	1	2+ 5+ 23+ 71+	2+ -2 5+  4  0 -4 -6 -4
Curve Equation t Generators 81650b1 [1,0,1,89,-9942] 1 [423:8492:1]
81650c (1 curve)	0	2+ 5+ 23+ 71-	2+  2 5+ -1  3 -3  0  1
Curve Equation t 81650c1 [1,1,0,-61605,-5216755] 1
81650d (1 curve)	2	2+ 5+ 23- 71+	2+  1 5+ -2  0  0 -2 -5
Curve Equation t Generators 81650d1 [1,0,1,-27126,768648] 1 [-1074:11833:8]&[-108:1616:1]
81650e (1 curve)	0	2+ 5+ 23- 71+	2+  2 5+ -3  1  5  0  3
Curve Equation t 81650e1 [1,1,0,-67200,6674000] 1
81650f (1 curve)	1	2+ 5+ 23- 71-	2+  1 5+ -2  3 -6 -5  5
Curve Equation t Generators 81650f1 [1,0,1,-1488311,-698981222] 1 [1765475002:35596710072:1092727]
81650g (1 curve)	2	2+ 5- 23+ 71+	2+ -1 5-  0 -4  4  4 -7
Curve Equation t Generators 81650g1 [1,1,0,-2075,32125] 1 [-31:276:1]&[30:1235:8]
81650h (1 curve)	1	2+ 5- 23+ 71-	2+ -1 5-  2 -2 -2 -8  5
Curve Equation t Generators 81650h1 [1,1,0,-192950,-32643500] 1 [-1962:1289:8]
81650i (1 curve)	1	2+ 5- 23- 71+	2+  0 5- -2  4 -1  2  8
Curve Equation t Generators 81650i1 [1,-1,0,-617,10291] 1 [-15:134:1]
81650j (1 curve)	0	2- 5+ 23+ 71+	2-  0 5+  2  4  1 -2  8
Curve Equation t 81650j1 [1,-1,1,-25,87] 1
81650k (2 curves)	0	2- 5+ 23+ 71+	2-  0 5+  4  2  6 -6  2
Curve Equation t 81650k1 [1,-1,1,43320,2343947] 2 81650k2 [1,-1,1,-212680,20775947] 2
81650l (2 curves)	0	2- 5+ 23+ 71+	2- -1 5+ -2  0  4  6 -7
Curve Equation t 81650l1 [1,1,1,-4463,111531] 1 81650l2 [1,1,1,-36088,-2596719] 1
81650m (1 curve)	0	2- 5+ 23+ 71+	2- -1 5+ -2 -4 -3  3  6
Curve Equation t 81650m1 [1,1,1,-213,-1469] 1
81650n (1 curve)	0	2- 5+ 23+ 71+	2-  3 5+ -2 -4  5  5 -2
Curve Equation t 81650n1 [1,-1,1,-25230,-1536353] 1
81650o (1 curve)	1	2- 5+ 23+ 71-	2- -1 5+ -4  6  6 -6 -5
Curve Equation t Generators 81650o1 [1,1,1,-78213,8386531] 1 [161:-80:1]
81650p (2 curves)	0	2- 5+ 23- 71-	2-  0 5+  4  2 -4 -2 -8
Curve Equation t 81650p1 [1,-1,1,6181620,12026047247] 2 81650p2 [1,-1,1,-56318380,139026047247] 2
81650q (1 curve)	0	2- 5+ 23- 71-	2-  3 5+ -2 -4 -1 -5 -2
Curve Equation t 81650q1 [1,-1,1,378345,9612847] 1
81650r (1 curve)	0	2- 5+ 23- 71-	2-  3 5+  4  2  2 -2  1
Curve Equation t 81650r1 [1,-1,1,-855,-8603] 1
81650s (1 curve)	1	2- 5- 23+ 71+	2- -2 5-  3  1 -5  0  3
Curve Equation t Generators 81650s1 [1,0,0,-2688,53392] 1 [62:324:1]
81650t (1 curve)	0	2- 5- 23+ 71-	2- -1 5-  2  3  6  5  5
Curve Equation t 81650t1 [1,1,1,-37207763,-87372652719] 1
81650u (1 curve)	2	2- 5- 23- 71+	2-  1 5-  0 -4 -4 -4 -7
Curve Equation t Generators 81650u1 [1,0,0,-83,257] 1 [2:-11:1]&[-26:191:8]
81650v (1 curve)	0	2- 5- 23- 71+	2- -1 5-  2  3 -2 -3 -7
Curve Equation t 81650v1 [1,1,1,362,981] 1
81650w (1 curve)	0	2- 5- 23- 71+	2-  2 5- -4  0  4  6 -4
Curve Equation t 81650w1 [1,1,1,2237,-1242719] 1
81650x (1 curve)	1	2- 5- 23- 71-	2-  1 5- -2 -2  2  8  5
Curve Equation t Generators 81650x1 [1,0,0,-7718,-261148] 1 [-52:42:1]
81650y (1 curve)	1	2- 5- 23- 71-	2- -2 5-  1  3  3  0  1
Curve Equation t Generators 81650y1 [1,0,0,-1540138,-649014108] 1 [-748:9574:1]

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