Cremona's table of elliptic curves

44175 = 3 · 5² · 19 · 31

Class	r	Atkin-Lehner	Eigenvalues
44175a (2 curves)	1	3+ 5+ 19+ 31+	1 3+ 5+  4 -2  6  2 19+
Curve Equation t Generators 44175a1 [1,1,0,-4275,162000] 2 [310:1745:8] 44175a2 [1,1,0,-77900,8334375] 2 [1302:-567:8]
44175b (1 curve)	1	3+ 5+ 19+ 31+	-2 3+ 5+ -2  1 -6 -4 19+
Curve Equation t Generators 44175b1 [0,-1,1,-2908,-61032] 1 [72:312:1]
44175c (2 curves)	0	3+ 5+ 19- 31+	1 3+ 5+ -2  2 -4 -2 19-
Curve Equation t 44175c1 [1,1,0,-152150,-22910625] 2 44175c2 [1,1,0,-2434525,-1463089250] 2
44175d (2 curves)	0	3+ 5+ 19- 31+	1 3+ 5+  4  2 -4 -2 19-
Curve Equation t 44175d1 [1,1,0,-2650,151375] 2 44175d2 [1,1,0,-62025,5910750] 2
44175e (2 curves)	1	3+ 5+ 19- 31-	-1 3+ 5+ -2  4 -6 -6 19-
Curve Equation t Generators 44175e1 [1,1,1,-490588,-132462844] 2 [811:1570:1] 44175e2 [1,1,1,-492963,-131118594] 2 [-3250:13771:8]
44175f (2 curves)	0	3+ 5- 19- 31-	2 3+ 5-  2 -3 -4  2 19-
Curve Equation t 44175f1 [0,-1,1,25042,2239193] 1 44175f2 [0,-1,1,-6678708,6645577943] 1
44175g (2 curves)	0	3- 5+ 19+ 31+	1 3- 5+ -2  4 -2  2 19+
Curve Equation t 44175g1 [1,0,1,-401,1823] 2 44175g2 [1,0,1,-2776,-55177] 2
44175h (2 curves)	1	3- 5+ 19+ 31-	1 3- 5+ -4 -2 -6  2 19+
Curve Equation t Generators 44175h1 [1,0,1,-673276,1869314573] 2 [2414:328021:8] 44175h2 [1,0,1,-27251901,54441834823] 2 [27214:252357:8]
44175i (4 curves)	1	3- 5+ 19+ 31-	1 3- 5+ -4 -4 -2 -2 19+
Curve Equation t Generators 44175i1 [1,0,1,17374,-920977] 2 [438:3311:8] 44175i2 [1,0,1,-102751,-8849227] 4 [457:6071:1] 44175i3 [1,0,1,-625876,183660773] 2 [38548:302519:64] 44175i4 [1,0,1,-1501626,-708286727] 2 [-703:576:1]
44175j (4 curves)	1	3- 5+ 19+ 31-	-1 3- 5+  4  0  2 -2 19+
Curve Equation t Generators 44175j1 [1,0,0,-13813,-626008] 2 [373:6607:1] 44175j2 [1,0,0,-13938,-614133] 4 [167:1229:1] 44175j3 [1,0,0,5437,-2183508] 2 [217:2929:1] 44175j4 [1,0,0,-35313,1715742] 2 [-193:1259:1]
44175k (4 curves)	1	3- 5+ 19+ 31-	-1 3- 5+ -4 -4  6 -2 19+
Curve Equation t Generators 44175k1 [1,0,0,12736687,5529658992] 4 [292:96154:1] 44175k2 [1,0,0,-53693438,45321303867] 4 [-113:226744:1] 44175k3 [1,0,0,-491549063,-4161157685508] 2 [122746936:26190228130:2197] 44175k4 [1,0,0,-678719813,6798731285742] 2 [14467:-94421:1]
44175l (4 curves)	1	3- 5+ 19- 31+	1 3- 5+  0  0 -2 -2 19-
Curve Equation t Generators 44175l1 [1,0,1,624,181273] 2 [23:444:1] 44175l2 [1,0,1,-44501,3520523] 4 [1134:1481:8] 44175l3 [1,0,1,-103876,-7879477] 2 [-263:1256:1] 44175l4 [1,0,1,-707126,228813023] 2 [105018:-46813:216]
44175m (2 curves)	1	3- 5- 19- 31-	-2 3- 5- -2 -3  4 -2 19-
Curve Equation t Generators 44175m1 [0,1,1,1002,18314] 1 [23:232:1] 44175m2 [0,1,1,-267148,53057764] 5 [-157:9547:1]

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