Cremona's table of elliptic curves

75850 = 2 · 5² · 37 · 41

Class	r	Atkin-Lehner	Eigenvalues
75850a (4 curves)	1	2+ 5+ 37+ 41+	2+  2 5+ -2  0 -2  6  2
Curve Equation t Generators 75850a1 [1,1,0,-153775,21745125] 2 [45:3840:1] 75850a2 [1,1,0,-481775,-102566875] 2 [-6657:34177:27] 75850a3 [1,1,0,-2299775,-1338596875] 2 [-202304975:-359794400:226981] 75850a4 [1,1,0,-36760275,-85801282375] 2 [-195858271754360193:96556339422886120:55948974095223]
75850b (1 curve)	0	2+ 5+ 37+ 41-	2+  1 5+ -2 -2  5  2  4
Curve Equation t 75850b1 [1,0,1,-1,-11852] 1
75850c (2 curves)	1	2+ 5+ 37- 41-	2+  0 5+  4  2 -2 -2  4
Curve Equation t Generators 75850c1 [1,-1,0,-3817,91341] 2 [18:159:1] 75850c2 [1,-1,0,-1817,185341] 2 [-21:473:1]
75850d (2 curves)	1	2+ 5+ 37- 41-	2+ -2 5+  2 -2 -2 -6 -2
Curve Equation t Generators 75850d1 [1,0,1,-28401,-1839052] 2 [-97:122:1] 75850d2 [1,0,1,-15901,-3464052] 2 [232:2196:1]
75850e (2 curves)	1	2+ 5+ 37- 41-	2+ -2 5+ -2  2  6 -2 -6
Curve Equation t Generators 75850e1 [1,0,1,-11279664151,460854023248698] 2 [84585620828568:-12063426023588911:952763904] 75850e2 [1,0,1,-9182512151,637505524816698] 2 [-54932964:51789363943:1728]
75850f (1 curve)	1	2+ 5+ 37- 41-	2+  3 5+ -2  2  1 -2  4
Curve Equation t Generators 75850f1 [1,-1,0,-12139942,-16359422284] 1 [2543636710113:517569959322781:60698457]
75850g (1 curve)	0	2+ 5- 37+ 41+	2+  2 5- -1 -2 -3 -8  6
Curve Equation t 75850g1 [1,1,0,5550,-23500] 1
75850h (2 curves)	0	2- 5+ 37+ 41+	2- -1 5+ -2  0  1  0 -4
Curve Equation t 75850h1 [1,1,1,-4188,-173969] 1 75850h2 [1,1,1,-397313,-96558969] 1
75850i (2 curves)	0	2- 5+ 37+ 41+	2- -1 5+  4 -3  1  3  2
Curve Equation t 75850i1 [1,1,1,1987,-5469] 1 75850i2 [1,1,1,-30388,-2142219] 1
75850j (2 curves)	1	2- 5+ 37+ 41-	2- -1 5+ -2  6  1  6 -4
Curve Equation t Generators 75850j1 [1,1,1,-18963,71915281] 1 [-205:8302:1] 75850j2 [1,1,1,170662,-1941522969] 1 [6825:559787:1]
75850k (2 curves)	1	2- 5+ 37- 41+	2-  2 5+  2  0  2 -6  2
Curve Equation t Generators 75850k1 [1,1,1,-394688,-95586719] 2 [-9825:8399:27] 75850k2 [1,1,1,-6314688,-6110306719] 2 [3069:57013:1]
75850l (2 curves)	1	2- 5+ 37- 41+	2-  2 5+  2 -4  2  2 -6
Curve Equation t Generators 75850l1 [1,1,1,-65688,6312281] 2 [129:13:1] 75850l2 [1,1,1,-147688,-12711719] 2 [-8817:28939:27]
75850m (1 curve)	1	2- 5+ 37- 41+	2- -2 5+  1 -2  3  8  6
Curve Equation t Generators 75850m1 [1,0,0,222,-188] 1 [6:34:1]
75850n (2 curves)	1	2- 5+ 37- 41+	2- -2 5+  2  0  6 -6  6
Curve Equation t Generators 75850n1 [1,0,0,-42063,3104617] 2 [-228:1039:1] 75850n2 [1,0,0,-134563,-15302883] 2 [-278:939:1]
75850o (2 curves)	1	2- 5+ 37- 41+	2- -2 5+  4 -2  0  2 -6
Curve Equation t Generators 75850o1 [1,0,0,-62623438,189914679492] 2 [5182:64934:1] 75850o2 [1,0,0,-96848438,-40659145508] 2 [23682:3296884:1]
75850p (2 curves)	2	2- 5+ 37- 41-	2- -2 5+ -2 -4 -6 -2  6
Curve Equation t Generators 75850p1 [1,0,0,-127838,10980292] 2 [-68:4434:1]&[492:-8446:1] 75850p2 [1,0,0,384162,77028292] 2 [-138:4694:1]&[-92:6442:1]

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