Cremona's table of elliptic curves

44850 = 2 · 3 · 5² · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
44850a (4 curves)	0	2+ 3+ 5+ 13+ 23-	2+ 3+ 5+ -2  6 13+  6  2
Curve Equation t 44850a1 [1,1,0,1800,648000] 2 44850a2 [1,1,0,-102200,12192000] 2 44850a3 [1,1,0,-16200,-17514000] 2 44850a4 [1,1,0,-1114700,-449224500] 2
44850b (1 curve)	0	2+ 3+ 5+ 13+ 23-	2+ 3+ 5+  3  0 13+  3  2
Curve Equation t 44850b1 [1,1,0,390,2580] 1
44850c (2 curves)	0	2+ 3+ 5+ 13+ 23-	2+ 3+ 5+  4 -3 13+  3 -4
Curve Equation t 44850c1 [1,1,0,3425,77125] 1 44850c2 [1,1,0,-34075,-3635375] 1
44850d (4 curves)	0	2+ 3+ 5+ 13+ 23-	2+ 3+ 5+  4  4 13+ -6  0
Curve Equation t 44850d1 [1,1,0,825,-52875] 2 44850d2 [1,1,0,-17175,-826875] 4 44850d3 [1,1,0,-51675,3485625] 2 44850d4 [1,1,0,-270675,-54315375] 2
44850e (1 curve)	0	2+ 3+ 5+ 13- 23+	2+ 3+ 5+  2  3 13-  1  6
Curve Equation t 44850e1 [1,1,0,-7325,238845] 1
44850f (1 curve)	0	2+ 3+ 5+ 13- 23+	2+ 3+ 5+ -2  2 13-  6 -1
Curve Equation t 44850f1 [1,1,0,-284075,58252125] 1
44850g (2 curves)	0	2+ 3+ 5+ 13- 23+	2+ 3+ 5+  4  2 13-  0 -4
Curve Equation t 44850g1 [1,1,0,-1000,-26000] 2 44850g2 [1,1,0,-20500,-1137500] 2
44850h (1 curve)	0	2+ 3+ 5+ 13- 23+	2+ 3+ 5+  5  3 13-  7  0
Curve Equation t 44850h1 [1,1,0,-3490,-81020] 1
44850i (1 curve)	1	2+ 3+ 5+ 13- 23-	2+ 3+ 5+  1 -5 13- -6  8
Curve Equation t Generators 44850i1 [1,1,0,-83375,-176692875] 1 [946:23861:1]
44850j (1 curve)	1	2+ 3+ 5+ 13- 23-	2+ 3+ 5+ -3 -5 13- -1  0
Curve Equation t Generators 44850j1 [1,1,0,30961550,-15248013500] 1 [1744:209026:1]
44850k (1 curve)	2	2+ 3+ 5- 13+ 23+	2+ 3+ 5-  1 -1 13+ -2 -6
Curve Equation t Generators 44850k1 [1,1,0,-15,-75] 1 [5:0:1]&[10:25:1]
44850l (1 curve)	2	2+ 3+ 5- 13+ 23+	2+ 3+ 5-  1 -3 13+ -3 -4
Curve Equation t Generators 44850l1 [1,1,0,-42075,9892125] 1 [-90:-3555:1]&[135:-2655:1]
44850m (1 curve)	0	2+ 3+ 5- 13+ 23+	2+ 3+ 5- -1  4 13+ -1 -8
Curve Equation t 44850m1 [1,1,0,-292450,-144738500] 1
44850n (1 curve)	0	2+ 3+ 5- 13+ 23+	2+ 3+ 5- -2 -1 13+  3  2
Curve Equation t 44850n1 [1,1,0,-27950,4186500] 1
44850o (2 curves)	0	2+ 3+ 5- 13+ 23+	2+ 3+ 5- -2  6 13+  6  4
Curve Equation t 44850o1 [1,1,0,2515,-103575] 2 44850o2 [1,1,0,-23935,-1240925] 2
44850p (1 curve)	1	2+ 3+ 5- 13- 23+	2+ 3+ 5-  1  4 13- -3 -4
Curve Equation t Generators 44850p1 [1,1,0,100,1650] 1 [-5:35:1]
44850q (1 curve)	1	2+ 3+ 5- 13- 23+	2+ 3+ 5- -3  6 13-  2  4
Curve Equation t Generators 44850q1 [1,1,0,425,5875] 1 [-11:10:1]
44850r (6 curves)	0	2+ 3- 5+ 13+ 23+	2+ 3- 5+  0 -4 13+ -2  4
Curve Equation t 44850r1 [1,0,1,13021124,-36527764102] 2 44850r2 [1,0,1,-118050876,-421355156102] 4 44850r3 [1,0,1,-522402876,4188257643898] 2 44850r4 [1,0,1,-1810850876,-29659396756102] 4 44850r5 [1,0,1,-1733110876,-32321836276102] 2 44850r6 [1,0,1,-28973390876,-1898224848436102] 2
44850s (1 curve)	0	2+ 3- 5+ 13+ 23+	2+ 3- 5+ -3 -4 13+  7  4
Curve Equation t 44850s1 [1,0,1,-188451,31480798] 1
44850t (1 curve)	0	2+ 3- 5+ 13+ 23+	2+ 3- 5+  4  3 13+  7  4
Curve Equation t 44850t1 [1,0,1,-163281,-25408712] 1
44850u (4 curves)	1	2+ 3- 5+ 13+ 23-	2+ 3- 5+  4  0 13+ -2  0
Curve Equation t Generators 44850u1 [1,0,1,44849,-4562302] 2 [37009:406412:343] 44850u2 [1,0,1,-293151,-45798302] 4 [-1514:14403:8] 44850u3 [1,0,1,-1638651,769574698] 2 [7318:44511:8] 44850u4 [1,0,1,-4355651,-3498923302] 2 [-1197:874:1]
44850v (2 curves)	1	2+ 3- 5+ 13- 23+	2+ 3- 5+  2  0 13-  4 -2
Curve Equation t Generators 44850v1 [1,0,1,-23576,1805798] 2 [-114:11753:8] 44850v2 [1,0,1,-407576,100109798] 2 [1097:30651:1]
44850w (2 curves)	1	2+ 3- 5+ 13- 23+	2+ 3- 5+  2 -6 13-  4  4
Curve Equation t Generators 44850w1 [1,0,1,-1240876,-815438602] 2 [1461:21421:1] 44850w2 [1,0,1,-22661626,-41514863602] 2 [341238:-70187557:8]
44850x (2 curves)	1	2+ 3- 5+ 13- 23+	2+ 3- 5+ -2  0 13-  0  2
Curve Equation t Generators 44850x1 [1,0,1,1124,37898] 2 [13:-241:1] 44850x2 [1,0,1,-12376,469898] 2 [127:-1039:1]
44850y (2 curves)	1	2+ 3- 5+ 13- 23+	2+ 3- 5+ -2 -2 13-  4  0
Curve Equation t Generators 44850y1 [1,0,1,-4708776,-4384513802] 2 [3512:147906:1] 44850y2 [1,0,1,-77716776,-263708929802] 2 [18488:2139909:1]
44850z (2 curves)	0	2+ 3- 5+ 13- 23-	2+ 3- 5+  0  2 13-  4 -4
Curve Equation t 44850z1 [1,0,1,140374,421148] 2 44850z2 [1,0,1,-561626,3229148] 2
44850ba (4 curves)	0	2+ 3- 5+ 13- 23-	2+ 3- 5+  0 -4 13- -2  8
Curve Equation t 44850ba1 [1,0,1,-6841151,-6887720302] 2 44850ba2 [1,0,1,-6969151,-6616616302] 4 44850ba3 [1,0,1,6530849,-29161616302] 2 44850ba4 [1,0,1,-22517151,33279551698] 2
44850bb (1 curve)	0	2+ 3- 5+ 13- 23-	2+ 3- 5+  1 -5 13- -5 -8
Curve Equation t 44850bb1 [1,0,1,-53762826,-271820520452] 1
44850bc (2 curves)	0	2+ 3- 5+ 13- 23-	2+ 3- 5+  4 -6 13-  8 -8
Curve Equation t 44850bc1 [1,0,1,-82901,9292448] 2 44850bc2 [1,0,1,-1330901,590860448] 2
44850bd (1 curve)	2	2+ 3- 5+ 13- 23-	2+ 3- 5+ -5 -5 13- -2  0
Curve Equation t Generators 44850bd1 [1,0,1,-282651,60790198] 1 [622:-11524:1]&[323:1632:1]
44850be (1 curve)	2	2+ 3- 5- 13+ 23-	2+ 3- 5- -3 -3 13+ -6 -6
Curve Equation t Generators 44850be1 [1,0,1,-44741,3913328] 1 [-237:1222:1]&[-168:2671:1]
44850bf (2 curves)	0	2+ 3- 5- 13- 23+	2+ 3- 5-  2  6 13-  6  5
Curve Equation t 44850bf1 [1,0,1,-2451,242548] 3 44850bf2 [1,0,1,21924,-6338702] 1
44850bg (1 curve)	1	2+ 3- 5- 13- 23-	2+ 3- 5- -2  2 13- -6  1
Curve Equation t Generators 44850bg1 [1,0,1,-8607326,-9720363952] 1 [349697790502957792987954839131755756:-43448369578413135332377792979243618808:22003593622493245819046866386701]
44850bh (1 curve)	0	2- 3+ 5+ 13+ 23+	2- 3+ 5+  2  2 13+  6  1
Curve Equation t 44850bh1 [1,1,1,-344293,-77900629] 1
44850bi (2 curves)	0	2- 3+ 5+ 13+ 23+	2- 3+ 5+  2 -4 13+ -6 -8
Curve Equation t 44850bi1 [1,1,1,-10063,1563281] 2 44850bi2 [1,1,1,-273313,54739781] 2
44850bj (4 curves)	0	2- 3+ 5+ 13+ 23+	2- 3+ 5+ -2  0 13+ -6 -4
Curve Equation t 44850bj1 [1,1,1,-456621588,3865678757781] 2 44850bj2 [1,1,1,-7365354588,243294729605781] 2 44850bj3 [1,1,1,2165318037,13492309288281] 2 44850bj4 [1,1,1,-9223929963,111143721640281] 2
44850bk (4 curves)	0	2- 3+ 5+ 13+ 23+	2- 3+ 5+  4  0 13+  0  2
Curve Equation t 44850bk1 [1,1,1,487,-465469] 2 44850bk2 [1,1,1,-87263,-9766969] 2 44850bk3 [1,1,1,-439388,-112297219] 2 44850bk4 [1,1,1,-7030388,-7177849219] 2
44850bl (2 curves)	1	2- 3+ 5+ 13+ 23-	2- 3+ 5+  2  2 13+  6 -6
Curve Equation t Generators 44850bl1 [1,1,1,-763,54281] 2 [5:-228:1] 44850bl2 [1,1,1,-26763,1666281] 2 [-55:1752:1]
44850bm (2 curves)	1	2- 3+ 5+ 13+ 23-	2- 3+ 5+ -2  6 13+ -6  5
Curve Equation t Generators 44850bm1 [1,1,1,-98,1901] 1 [-122:149:8] 44850bm2 [1,1,1,877,-50359] 1 [29:8:1]
44850bn (1 curve)	0	2- 3+ 5+ 13- 23-	2- 3+ 5+  3  3 13-  2 -4
Curve Equation t 44850bn1 [1,1,1,-91063,10594781] 1
44850bo (1 curve)	1	2- 3+ 5- 13+ 23+	2- 3+ 5- -1 -5 13+  5 -8
Curve Equation t Generators 44850bo1 [1,1,1,-2150513,-2175424369] 1 [6495:504592:1]
44850bp (1 curve)	0	2- 3+ 5- 13- 23+	2- 3+ 5-  3 -3 13-  6 -6
Curve Equation t 44850bp1 [1,1,1,-1118513,489166031] 1
44850bq (1 curve)	1	2- 3+ 5- 13- 23-	2- 3+ 5-  3 -4 13- -7  4
Curve Equation t Generators 44850bq1 [1,1,1,-7538,248831] 1 [41:83:1]
44850br (1 curve)	1	2- 3+ 5- 13- 23-	2- 3+ 5- -4  3 13- -7  4
Curve Equation t Generators 44850br1 [1,1,1,-4082013,-3176088969] 1 [8963492279085:-712861808043678:1298596571]
44850bs (2 curves)	1	2- 3- 5+ 13+ 23+	2- 3- 5+  2 -4 13+ -2  4
Curve Equation t Generators 44850bs1 [1,0,0,4387,-107283] 2 [254:1901:8] 44850bs2 [1,0,0,-24863,-1014033] 2 [5054:120245:8]
44850bt (2 curves)	1	2- 3- 5+ 13+ 23+	2- 3- 5+ -2  0 13+  6  0
Curve Equation t Generators 44850bt1 [1,0,0,-124788,16962192] 2 [216:-420:1] 44850bt2 [1,0,0,-1996788,1085874192] 2 [672:6564:1]
44850bu (4 curves)	0	2- 3- 5+ 13+ 23-	2- 3- 5+  0  0 13+ -2  4
Curve Equation t 44850bu1 [1,0,0,-13813,579617] 2 44850bu2 [1,0,0,-45813,-3100383] 4 44850bu3 [1,0,0,92187,-18142383] 2 44850bu4 [1,0,0,-695813,-223450383] 2
44850bv (1 curve)	0	2- 3- 5+ 13+ 23-	2- 3- 5+  1 -3 13+  6 -4
Curve Equation t 44850bv1 [1,0,0,366812,16734992] 1
44850bw (1 curve)	0	2- 3- 5+ 13+ 23-	2- 3- 5+ -1  4 13+  3 -4
Curve Equation t 44850bw1 [1,0,0,2487,201267] 1
44850bx (2 curves)	0	2- 3- 5+ 13+ 23-	2- 3- 5+  2  2 13+  4  4
Curve Equation t 44850bx1 [1,0,0,-128863,-20815783] 2 44850bx2 [1,0,0,-2156863,-1219363783] 2
44850by (2 curves)	0	2- 3- 5+ 13+ 23-	2- 3- 5+ -2  6 13+ -6  2
Curve Equation t 44850by1 [1,0,0,-3888,-94608] 2 44850by2 [1,0,0,-62388,-6003108] 2
44850bz (1 curve)	0	2- 3- 5+ 13+ 23-	2- 3- 5+  3  6 13+ -2  4
Curve Equation t 44850bz1 [1,0,0,17,47] 1
44850ca (4 curves)	0	2- 3- 5+ 13+ 23-	2- 3- 5+ -4  4 13+  6  8
Curve Equation t 44850ca1 [1,0,0,-72588,11451792] 2 44850ca2 [1,0,0,-1322588,585201792] 4 44850ca3 [1,0,0,-1485088,432289292] 2 44850ca4 [1,0,0,-21160088,37463114292] 2
44850cb (1 curve)	1	2- 3- 5+ 13- 23-	2- 3- 5+  1  4 13-  1 -8
Curve Equation t Generators 44850cb1 [1,0,0,-11698,-1157908] 1 [758:20252:1]
44850cc (1 curve)	1	2- 3- 5+ 13- 23-	2- 3- 5+  1 -5 13- -2  4
Curve Equation t Generators 44850cc1 [1,0,0,1287,231417] 1 [-18:459:1]
44850cd (1 curve)	1	2- 3- 5+ 13- 23-	2- 3- 5+ -1 -3 13-  3 -4
Curve Equation t Generators 44850cd1 [1,0,0,-1683,79137] 1 [96:849:1]
44850ce (1 curve)	1	2- 3- 5+ 13- 23-	2- 3- 5+  2 -1 13- -3  2
Curve Equation t Generators 44850ce1 [1,0,0,-1118,33492] 1 [106:1000:1]
44850cf (1 curve)	0	2- 3- 5- 13+ 23+	2- 3- 5-  3 -5 13+  1  0
Curve Equation t 44850cf1 [1,0,0,1238462,-121984108] 1
44850cg (1 curve)	1	2- 3- 5- 13+ 23-	2- 3- 5-  2  2 13+ -6 -1
Curve Equation t Generators 44850cg1 [1,0,0,-11363,466017] 1 [76:169:1]
44850ch (1 curve)	1	2- 3- 5- 13+ 23-	2- 3- 5- -2  3 13+ -1  6
Curve Equation t Generators 44850ch1 [1,0,0,-183138,30221892] 1 [252:174:1]
44850ci (1 curve)	1	2- 3- 5- 13+ 23-	2- 3- 5- -5  3 13+ -7  0
Curve Equation t Generators 44850ci1 [1,0,0,-87263,-9952983] 1 [352:1549:1]
44850cj (1 curve)	1	2- 3- 5- 13- 23+	2- 3- 5- -3  0 13- -3  2
Curve Equation t Generators 44850cj1 [1,0,0,9737,303017] 1 [52:949:1]
44850ck (2 curves)	1	2- 3- 5- 13- 23+	2- 3- 5- -4 -3 13- -3 -4
Curve Equation t Generators 44850ck1 [1,0,0,137,617] 3 [-4:5:1] 44850ck2 [1,0,0,-1363,-29083] 1 [46:55:1]
44850cl (1 curve)	0	2- 3- 5- 13- 23-	2- 3- 5- -1 -1 13-  2 -6
Curve Equation t 44850cl1 [1,0,0,-388,-8608] 1
44850cm (2 curves)	0	2- 3- 5- 13- 23-	2- 3- 5-  2  6 13- -6  4
Curve Equation t 44850cm1 [1,0,0,62862,-13072608] 2 44850cm2 [1,0,0,-598388,-153918858] 2

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