Cremona's table of elliptic curves

1650 = 2 · 3 · 5² · 11

Class	r	Atkin-Lehner	Eigenvalues
1650a (6 curves)	1	2+ 3+ 5+ 11+	2+ 3+ 5+  0 11+  2 -2 -4
Curve Equation t Generators 1650a1 [1,1,0,125,2125] 2 [-5:40:1] 1650a2 [1,1,0,-1875,28125] 4 [-6:201:1] 1650a3 [1,1,0,-6375,-165375] 4 [-60:105:1] 1650a4 [1,1,0,-29375,1925625] 2 [100:-25:1] 1650a5 [1,1,0,-97125,-11690625] 2 [-181:105:1] 1650a6 [1,1,0,12375,-934125] 2 [65:355:1]
1650b (4 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  2 11- -4  2  0
Curve Equation t 1650b1 [1,1,0,-1125,10125] 2 1650b2 [1,1,0,2875,70125] 2 1650b3 [1,1,0,-251625,-48687375] 2 1650b4 [1,1,0,-251375,-48788625] 2
1650c (2 curves)	1	2+ 3+ 5- 11-	2+ 3+ 5-  2 11-  1 -8 -5
Curve Equation t Generators 1650c1 [1,1,0,125,-1925] 1 [31:166:1] 1650c2 [1,1,0,-14450,676500] 1 [71:86:1]
1650d (2 curves)	1	2+ 3+ 5- 11-	2+ 3+ 5- -3 11- -4  7  5
Curve Equation t Generators 1650d1 [1,1,0,250,-600] 1 [70:570:1] 1650d2 [1,1,0,-22575,1297125] 1 [110:345:1]
1650e (1 curve)	0	2+ 3- 5+ 11+	2+ 3- 5+  2 11+  1  4  1
Curve Equation t 1650e1 [1,0,1,-326,17048] 1
1650f (4 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  4 11+  6 -2  4
Curve Equation t 1650f1 [1,0,1,-51,-2] 2 1650f2 [1,0,1,-551,-5002] 4 1650f3 [1,0,1,-8801,-318502] 2 1650f4 [1,0,1,-301,-9502] 2
1650g (4 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+ -4 11+ -2 -2  4
Curve Equation t 1650g1 [1,0,1,-1006651,367208198] 2 1650g2 [1,0,1,-3054651,-1602967802] 4 1650g3 [1,0,1,-45822651,-119386039802] 2 1650g4 [1,0,1,6945349,-9902967802] 2
1650h (6 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  0 11- -6 -2 -4
Curve Equation t Generators 1650h1 [1,0,1,6374,19148] 2 [22:401:1] 1650h2 [1,0,1,-25626,147148] 4 [-118:1296:1] 1650h3 [1,0,1,-267626,-53092852] 4 [-303:601:1] 1650h4 [1,0,1,-295626,61707148] 2 [-7:7989:1] 1650h5 [1,0,1,-4277126,-3405034852] 2 [-1194:601:1] 1650h6 [1,0,1,-130126,-107542852] 2 [667:9791:1]
1650i (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+ -3 11-  0 -5 -1
Curve Equation t Generators 1650i1 [1,0,1,-1,8] 1 [1:2:1]
1650j (2 curves)	1	2+ 3- 5- 11+	2+ 3- 5- -1 11+ -4  3 -1
Curve Equation t Generators 1650j1 [1,0,1,324,3898] 3 [-7:39:1] 1650j2 [1,0,1,-3051,-133802] 1 [143:1464:1]
1650k (2 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  2 11-  5  0 -1
Curve Equation t 1650k1 [1,0,1,22799,204548] 3 1650k2 [1,0,1,-286576,-65259202] 1
1650l (2 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+  1 11+  4 -3 -1
Curve Equation t 1650l1 [1,1,1,8112,487281] 1 1650l2 [1,1,1,-76263,-16725219] 1
1650m (4 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+ -2 11+  4  6 -4
Curve Equation t 1650m1 [1,1,1,-138,531] 2 1650m2 [1,1,1,112,2531] 2 1650m3 [1,1,1,-2013,-35469] 2 1650m4 [1,1,1,-1013,-69469] 2
1650n (2 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+ -2 11- -5  0 -1
Curve Equation t Generators 1650n1 [1,1,1,912,2001] 1 [109:-1243:1] 1650n2 [1,1,1,-11463,-526659] 1 [139:698:1]
1650o (1 curve)	1	2- 3+ 5- 11+	2- 3+ 5- -2 11+ -1 -4  1
Curve Equation t Generators 1650o1 [1,1,1,-13,131] 1 [5:-18:1]
1650p (1 curve)	0	2- 3+ 5- 11-	2- 3+ 5-  3 11-  0  5 -1
Curve Equation t 1650p1 [1,1,1,-13,1031] 1
1650q (4 curves)	0	2- 3- 5+ 11-	2- 3- 5+  0 11- -2  2  8
Curve Equation t 1650q1 [1,0,0,-34838,-2505708] 2 1650q2 [1,0,0,-35338,-2430208] 4 1650q3 [1,0,0,-104088,9876042] 2 1650q4 [1,0,0,25412,-9902458] 2
1650r (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+ -2 11- -1  8 -5
Curve Equation t 1650r1 [1,0,0,-578,5412] 5 1650r2 [1,0,0,3112,-246858] 1
1650s (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+  3 11-  4 -7  5
Curve Equation t 1650s1 [1,0,0,-903,10377] 5 1650s2 [1,0,0,6237,-87483] 1
1650t (4 curves)	0	2- 3- 5+ 11-	2- 3- 5+  4 11-  2  2 -8
Curve Equation t 1650t1 [1,0,0,-563,-4383] 2 1650t2 [1,0,0,-2563,45617] 4 1650t3 [1,0,0,-40063,3083117] 2 1650t4 [1,0,0,2937,216117] 2

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