Cremona's table of elliptic curves

27650 = 2 · 5² · 7 · 79

Class	r	Atkin-Lehner	Eigenvalues
27650a (4 curves)	1	2+ 5+ 7+ 79+	2+  0 5+ 7+ -4  2 -2 -4
Curve Equation t Generators 27650a1 [1,-1,0,1483,9141] 2 [-1:88:1] 27650a2 [1,-1,0,-6517,81141] 4 [-7:359:1] 27650a3 [1,-1,0,-55517,-4965859] 2 [359:4433:1] 27650a4 [1,-1,0,-85517,9640141] 2 [193:448:1]
27650b (3 curves)	0	2+ 5+ 7+ 79-	2+ -1 5+ 7+  3 -5  3  2
Curve Equation t 27650b1 [1,1,0,-6400,8192000] 1 27650b2 [1,1,0,57600,-221120000] 1 27650b3 [1,1,0,-25933400,-50848823000] 1
27650c (1 curve)	2	2+ 5+ 7- 79+	2+ -1 5+ 7- -5  1 -5  2
Curve Equation t Generators 27650c1 [1,1,0,0,4000] 1 [-130:115:8]&[-5:65:1]
27650d (2 curves)	0	2+ 5+ 7- 79+	2+  2 5+ 7- -4 -2  2  0
Curve Equation t 27650d1 [1,1,0,57125,-11971875] 2 27650d2 [1,1,0,-567875,-143846875] 2
27650e (2 curves)	0	2+ 5- 7+ 79+	2+  1 5- 7+  2 -4 -8  0
Curve Equation t 27650e1 [1,0,1,-242126,-45896552] 1 27650e2 [1,0,1,1600549,231997798] 1
27650f (1 curve)	2	2+ 5- 7+ 79+	2+ -2 5- 7+ -2 -4  2 -3
Curve Equation t Generators 27650f1 [1,0,1,-701,9048] 1 [-234:663:8]&[27:-114:1]
27650g (1 curve)	0	2+ 5- 7+ 79+	2+  3 5- 7+ -2  0  4  4
Curve Equation t 27650g1 [1,-1,0,758,-7084] 1
27650h (1 curve)	1	2+ 5- 7- 79+	2+  1 5- 7- -3  4  1 -5
Curve Equation t Generators 27650h1 [1,0,1,4049,363298] 1 [-22:524:1]
27650i (1 curve)	1	2+ 5- 7- 79+	2+ -3 5- 7- -6 -4  0  0
Curve Equation t Generators 27650i1 [1,-1,0,-71692,7406416] 1 [155:-81:1]
27650j (1 curve)	0	2+ 5- 7- 79-	2+  2 5- 7-  2  4  2 -5
Curve Equation t 27650j1 [1,1,0,70562300,-303411486000] 1
27650k (1 curve)	2	2+ 5- 7- 79-	2+ -2 5- 7- -2  0 -6 -5
Curve Equation t Generators 27650k1 [1,0,1,-176,2898] 1 [3:47:1]&[-13:61:1]
27650l (1 curve)	0	2+ 5- 7- 79-	2+ -3 5- 7- -3  4 -3 -5
Curve Equation t 27650l1 [1,-1,0,-129367,-17877209] 1
27650m (2 curves)	0	2- 5+ 7+ 79+	2-  0 5+ 7+  0 -2  0  6
Curve Equation t 27650m1 [1,-1,1,750020,764475647] 2 27650m2 [1,-1,1,-9361980,9986619647] 2
27650n (1 curve)	2	2- 5+ 7+ 79+	2- -1 5+ 7+ -3 -1 -7 -8
Curve Equation t Generators 27650n1 [1,1,1,-121688,16288281] 1 [205:-203:1]&[-75:5037:1]
27650o (1 curve)	2	2- 5+ 7+ 79+	2- -1 5+ 7+ -3 -4 -1 -5
Curve Equation t Generators 27650o1 [1,1,1,162,2971] 1 [11:-85:1]&[1:-57:1]
27650p (1 curve)	0	2- 5+ 7+ 79+	2-  3 5+ 7+ -3 -5 -3  0
Curve Equation t 27650p1 [1,-1,1,7395,8647] 1
27650q (1 curve)	0	2- 5+ 7+ 79+	2-  3 5+ 7+ -6  4  0  0
Curve Equation t 27650q1 [1,-1,1,-1792305,924009697] 1
27650r (2 curves)	1	2- 5+ 7+ 79-	2-  0 5+ 7+  0  0  2 -2
Curve Equation t Generators 27650r1 [1,-1,1,-555,-2053] 2 [-5:26:1] 27650r2 [1,-1,1,-4555,117947] 2 [-1:350:1]
27650s (1 curve)	1	2- 5+ 7+ 79-	2-  1 5+ 7+  5  5 -5 -2
Curve Equation t Generators 27650s1 [1,0,0,-88,1042] 1 [6:247:8]
27650t (2 curves)	1	2- 5+ 7+ 79-	2- -1 5+ 7+ -3  7 -3  2
Curve Equation t Generators 27650t1 [1,1,1,13562,-341469] 1 [195:3027:1] 27650t2 [1,1,1,-270813,-55291469] 1 [1895:78052:1]
27650u (1 curve)	1	2- 5+ 7+ 79-	2-  2 5+ 7+ -2  0  6 -5
Curve Equation t Generators 27650u1 [1,1,1,-4388,362281] 1 [65062:5835129:8]
27650v (1 curve)	1	2- 5+ 7+ 79-	2- -2 5+ 7+  2 -4 -2 -5
Curve Equation t Generators 27650v1 [1,0,0,2822492,-2427291888] 1 [968:34332:1]
27650w (1 curve)	1	2- 5+ 7+ 79-	2-  3 5+ 7+  3 -3 -1 -8
Curve Equation t Generators 27650w1 [1,-1,1,870,22747] 1 [45372:410825:1728]
27650x (1 curve)	1	2- 5+ 7+ 79-	2-  3 5+ 7+ -3 -4  3 -5
Curve Equation t Generators 27650x1 [1,-1,1,-5175,-141983] 1 [14103450:44389277:157464]
27650y (1 curve)	1	2- 5+ 7+ 79-	2- -3 5+ 7+  3  3 -7  4
Curve Equation t Generators 27650y1 [1,-1,1,-9202230,-36728796603] 1 [9129:-804565:1]
27650z (1 curve)	1	2- 5+ 7- 79+	2- -1 5+ 7-  1  1  1  6
Curve Equation t Generators 27650z1 [1,1,1,-17588,-1137219] 1 [355:-6303:1]
27650ba (1 curve)	1	2- 5+ 7- 79+	2- -1 5+ 7- -1 -5 -1  0
Curve Equation t Generators 27650ba1 [1,1,1,-1313,-18969] 1 [45:102:1]
27650bb (2 curves)	1	2- 5+ 7- 79+	2- -1 5+ 7-  2  4  8  0
Curve Equation t Generators 27650bb1 [1,1,1,64022,1881591] 5 [453:46219:27] 27650bb2 [1,1,1,-6053138,-5737068969] 1 [9091888514617155:-3848330203120579279:50858627625]
27650bc (1 curve)	1	2- 5+ 7- 79+	2-  2 5+ 7- -2  4 -2 -3
Curve Equation t Generators 27650bc1 [1,1,1,-28,61] 1 [1:5:1]
27650bd (1 curve)	1	2- 5+ 7- 79+	2- -3 5+ 7- -2  0 -4  4
Curve Equation t Generators 27650bd1 [1,-1,1,30,-63] 1 [5:-17:1]
27650be (2 curves)	0	2- 5+ 7- 79-	2-  0 5+ 7-  0 -2  4  6
Curve Equation t 27650be1 [1,-1,1,-2455,-57953] 2 27650be2 [1,-1,1,-41955,-3296953] 2
27650bf (2 curves)	0	2- 5+ 7- 79-	2-  0 5+ 7-  0  4 -2  6
Curve Equation t 27650bf1 [1,-1,1,-14130,649997] 2 27650bf2 [1,-1,1,-14380,625997] 2
27650bg (1 curve)	2	2- 5+ 7- 79-	2- -3 5+ 7- -3 -5 -5  0
Curve Equation t Generators 27650bg1 [1,-1,1,-3330,87297] 1 [89:-745:1]&[-51:375:1]

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