Cremona's table of elliptic curves

44400 = 2⁴ · 3 · 5² · 37

Class	r	Atkin-Lehner	Eigenvalues
44400a (4 curves)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  0  0  2  2  4
Curve Equation t Generators 44400a1 [0,-1,0,92,25312] 2 [36:272:1] 44400a2 [0,-1,0,-12408,525312] 4 [-3:750:1] 44400a3 [0,-1,0,-27408,-974688] 2 [-43:350:1] 44400a4 [0,-1,0,-197408,33825312] 2 [293:1026:1]
44400b (2 curves)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  0  0  6  4 -4
Curve Equation t Generators 44400b1 [0,-1,0,-83,4662] 2 [178:2366:1] 44400b2 [0,-1,0,-4708,124912] 2 [36:28:1]
44400c (4 curves)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  0  0 -6 -2  8
Curve Equation t Generators 44400c1 [0,-1,0,-512508,-148831488] 2 [221181684734140:-36353746238329976:8181353375] 44400c2 [0,-1,0,-8325008,-9242581488] 4 [1277848202:28927843750:357911] 44400c3 [0,-1,0,-8450008,-8950581488] 2 [-198880:-2691468:125] 44400c4 [0,-1,0,-133200008,-591659581488] 2 [1155571951208162:-378167904674173250:10662526601]
44400d (1 curve)	1	2+ 3+ 5+ 37+	2+ 3+ 5+ -1  3  5 -7 -5
Curve Equation t Generators 44400d1 [0,-1,0,-5008,140512] 1 [42:50:1]
44400e (1 curve)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  3  3  3  1 -7
Curve Equation t Generators 44400e1 [0,-1,0,-8408,-1112688] 1 [432:8700:1]
44400f (1 curve)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  4 -6 -1  1 -2
Curve Equation t Generators 44400f1 [0,-1,0,-15208,328912] 1 [-39:928:1]
44400g (1 curve)	2	2+ 3+ 5+ 37-	2+ 3+ 5+  0 -2  0 -6 -5
Curve Equation t Generators 44400g1 [0,-1,0,-4488,117792] 1 [138:1701:8]&[38:26:1]
44400h (2 curves)	2	2+ 3+ 5+ 37-	2+ 3+ 5+  0 -2 -6 -6 -2
Curve Equation t Generators 44400h1 [0,-1,0,592,-8688] 2 [16:68:1]&[37:250:1] 44400h2 [0,-1,0,-4408,-88688] 2 [-48:100:1]&[-38:150:1]
44400i (1 curve)	0	2+ 3+ 5+ 37-	2+ 3+ 5+ -1  4  1  8  1
Curve Equation t 44400i1 [0,-1,0,-95833,-11387963] 1
44400j (1 curve)	2	2+ 3+ 5+ 37-	2+ 3+ 5+ -4 -2  4  2  1
Curve Equation t Generators 44400j1 [0,-1,0,32,112] 1 [-2:6:1]&[1:12:1]
44400k (4 curves)	0	2+ 3+ 5+ 37-	2+ 3+ 5+ -4  4 -2 -6  8
Curve Equation t 44400k1 [0,-1,0,-13908,-626688] 2 44400k2 [0,-1,0,-14408,-578688] 4 44400k3 [0,-1,0,22592,-3094688] 2 44400k4 [0,-1,0,-59408,5001312] 4
44400l (2 curves)	0	2+ 3- 5+ 37+	2+ 3- 5+  0  0 -2  0  0
Curve Equation t 44400l1 [0,1,0,-283,1688] 2 44400l2 [0,1,0,92,6188] 2
44400m (4 curves)	0	2+ 3- 5+ 37+	2+ 3- 5+  0  4  2  6  0
Curve Equation t 44400m1 [0,1,0,-983,288] 2 44400m2 [0,1,0,-11108,445788] 4 44400m3 [0,1,0,-6608,814788] 2 44400m4 [0,1,0,-177608,28750788] 2
44400n (4 curves)	0	2+ 3- 5+ 37+	2+ 3- 5+  0 -4 -6  2 -4
Curve Equation t 44400n1 [0,1,0,-7783,-266812] 2 44400n2 [0,1,0,-8908,-185812] 4 44400n3 [0,1,0,28592,-1310812] 2 44400n4 [0,1,0,-64408,6141188] 2
44400o (1 curve)	2	2+ 3- 5+ 37+	2+ 3- 5+ -1 -3 -6 -1 -6
Curve Equation t Generators 44400o1 [0,1,0,-11008,451988] 1 [62:108:1]&[-82:900:1]
44400p (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+ -2  0  3 -2 -2
Curve Equation t Generators 44400p1 [0,1,0,367,6363] 1 [-2:75:1]
44400q (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+  3  1 -3 -3  7
Curve Equation t Generators 44400q1 [0,1,0,-3074008,2109175988] 1 [338:33300:1]
44400r (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5-  0 -2  0  6 -5
Curve Equation t Generators 44400r1 [0,1,0,-112208,14499588] 1 [208:450:1]
44400s (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5-  1  4 -1 -8  1
Curve Equation t Generators 44400s1 [0,1,0,-3833,-92637] 1 [2394:40515:8]
44400t (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5-  4 -2 -4 -2  1
Curve Equation t Generators 44400t1 [0,1,0,792,15588] 1 [8:150:1]
44400u (1 curve)	2	2+ 3- 5- 37-	2+ 3- 5- -4 -6  1 -1 -2
Curve Equation t Generators 44400u1 [0,1,0,-608,2388] 1 [-2:-60:1]&[-17:90:1]
44400v (1 curve)	0	2- 3+ 5+ 37+	2- 3+ 5+  0  2 -1 -5  2
Curve Equation t 44400v1 [0,-1,0,-4128,52992] 1
44400w (4 curves)	2	2- 3+ 5+ 37+	2- 3+ 5+  0  4 -6 -6 -8
Curve Equation t Generators 44400w1 [0,-1,0,6192,50112] 2 [2:250:1]&[17:400:1] 44400w2 [0,-1,0,-25808,434112] 4 [-118:1350:1]&[-104:1408:1] 44400w3 [0,-1,0,-241808,-45357888] 2 [-278:550:1]&[-2182:3839:8] 44400w4 [0,-1,0,-321808,70290112] 2 [-504:10208:1]&[-392:11664:1]
44400x (6 curves)	0	2- 3+ 5+ 37+	2- 3+ 5+  0 -4  2 -2 -4
Curve Equation t 44400x1 [0,-1,0,-338008,-260265488] 2 44400x2 [0,-1,0,-8530008,-9566377488] 4 44400x3 [0,-1,0,-11730008,-1732777488] 4 44400x4 [0,-1,0,-136402008,-613122217488] 2 44400x5 [0,-1,0,46589992,-13863337488] 2 44400x6 [0,-1,0,-121250008,511696982512] 2
44400y (1 curve)	0	2- 3+ 5+ 37+	2- 3+ 5+  3 -1 -1  1  5
Curve Equation t 44400y1 [0,-1,0,-346008,78454512] 1
44400z (1 curve)	0	2- 3+ 5+ 37+	2- 3+ 5+  3  5  2  7  2
Curve Equation t 44400z1 [0,-1,0,80992,4576512] 1
44400ba (1 curve)	0	2- 3+ 5+ 37+	2- 3+ 5+  3 -5 -3 -3  7
Curve Equation t 44400ba1 [0,-1,0,-72927008,-239684575488] 1
44400bb (1 curve)	0	2- 3+ 5+ 37+	2- 3+ 5+ -3 -4  5 -2 -1
Curve Equation t 44400bb1 [0,-1,0,-13333,1947037] 1
44400bc (2 curves)	1	2- 3+ 5+ 37-	2- 3+ 5+  0  2  2 -6 -6
Curve Equation t Generators 44400bc1 [0,-1,0,-458408,188787312] 2 [-50492:490625:64] 44400bc2 [0,-1,0,-8458408,9468787312] 2 [-3203:60750:1]
44400bd (2 curves)	1	2- 3+ 5+ 37-	2- 3+ 5+  0 -4  2  0 -6
Curve Equation t Generators 44400bd1 [0,-1,0,-333,2412] 2 [8:14:1] 44400bd2 [0,-1,0,-708,-3588] 2 [-86:413:8]
44400be (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+  0 -6  5  7  2
Curve Equation t Generators 44400be1 [0,-1,0,-30528,2063232] 1 [101:2:1]
44400bf (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+  1  1 -2  7  2
Curve Equation t Generators 44400bf1 [0,-1,0,592,21312] 1 [2:-150:1]
44400bg (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+  2 -4 -5  2 -2
Curve Equation t Generators 44400bg1 [0,-1,0,-8533,306937] 1 [57:50:1]
44400bh (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+ -2  0 -6  6  3
Curve Equation t Generators 44400bh1 [0,-1,0,2292,-393588] 1 [12138:472851:8]
44400bi (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+  3  0  5  4 -7
Curve Equation t Generators 44400bi1 [0,-1,0,21667,639537] 1 [61:1478:1]
44400bj (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+  3 -1 -1  3 -3
Curve Equation t Generators 44400bj1 [0,-1,0,6792,-1379088] 1 [2882:154750:1]
44400bk (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+  3  3  5 -5 -1
Curve Equation t Generators 44400bk1 [0,-1,0,-1408,-34688] 1 [152:1800:1]
44400bl (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+ -3  5  2 -3  6
Curve Equation t Generators 44400bl1 [0,-1,0,-52008,-4633488] 1 [452:-8000:1]
44400bm (2 curves)	1	2- 3+ 5+ 37-	2- 3+ 5+  4  4 -2 -2  2
Curve Equation t Generators 44400bm1 [0,-1,0,-192033,32452812] 2 [223230744:-1460067525:681472] 44400bm2 [0,-1,0,-181908,36016812] 2 [57348:1556775:64]
44400bn (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+ -4  2  4  2  7
Curve Equation t Generators 44400bn1 [0,-1,0,-30208,-2041088] 1 [1898:16179:8]
44400bo (4 curves)	1	2- 3+ 5+ 37-	2- 3+ 5+ -4 -4 -2  2 -8
Curve Equation t Generators 44400bo1 [0,-1,0,-569355408,4917465381312] 2 [17522:566150:1] 44400bo2 [0,-1,0,-8957963408,326335369509312] 4 [275331608627768:478348079579136:5061868813] 44400bo3 [0,-1,0,-8806411408,337909698853312] 2 [-606093042150344298:444816338555427751250:18255850022691] 44400bo4 [0,-1,0,-143327243408,20885372686629312] 4 [1073695384:-140320512:4913]
44400bp (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+ -5 -2  1  4 -7
Curve Equation t Generators 44400bp1 [0,-1,0,-373,-2663] 1 [41:222:1]
44400bq (1 curve)	1	2- 3+ 5- 37+	2- 3+ 5-  0  2 -1  0  2
Curve Equation t Generators 44400bq1 [0,-1,0,-453,-10323] 1 [804:1115:27]
44400br (1 curve)	1	2- 3+ 5- 37+	2- 3+ 5- -1  0 -5 -4 -5
Curve Equation t Generators 44400br1 [0,-1,0,-315333,-68778963] 1 [66788:1738075:64]
44400bs (1 curve)	1	2- 3+ 5- 37+	2- 3+ 5- -1  2 -1  4  3
Curve Equation t Generators 44400bs1 [0,-1,0,-1333,48637] 1 [12:185:1]
44400bt (1 curve)	1	2- 3+ 5- 37+	2- 3+ 5- -1 -5  0  1  0
Curve Equation t Generators 44400bt1 [0,-1,0,-2332208,1372542912] 1 [842:-2250:1]
44400bu (1 curve)	1	2- 3+ 5- 37+	2- 3+ 5-  2  2  5 -5  0
Curve Equation t Generators 44400bu1 [0,-1,0,-5208,-131088] 1 [92:400:1]
44400bv (2 curves)	1	2- 3+ 5- 37+	2- 3+ 5- -2  0  2  2  2
Curve Equation t Generators 44400bv1 [0,-1,0,-126208,-17209088] 2 [2042:90750:1] 44400bv2 [0,-1,0,-146208,-11369088] 2 [-312:1944:1]
44400bw (1 curve)	1	2- 3+ 5- 37+	2- 3+ 5-  4 -6 -1 -4  2
Curve Equation t Generators 44400bw1 [0,-1,0,-13,97] 1 [-3:10:1]
44400bx (1 curve)	1	2- 3+ 5- 37+	2- 3+ 5- -4  2 -4 -2  3
Curve Equation t Generators 44400bx1 [0,-1,0,1258792,1350780912] 1 [617:48600:1]
44400by (2 curves)	0	2- 3+ 5- 37-	2- 3+ 5-  1  0 -1 -6  1
Curve Equation t 44400by1 [0,-1,0,-107333,-13727463] 1 44400by2 [0,-1,0,432667,-63677463] 1
44400bz (1 curve)	0	2- 3+ 5- 37-	2- 3+ 5-  2  2 -1  1  4
Curve Equation t 44400bz1 [0,-1,0,-104208,12606912] 1
44400ca (2 curves)	0	2- 3+ 5- 37-	2- 3+ 5-  2  2 -6  6  4
Curve Equation t 44400ca1 [0,-1,0,-21674208,-39868793088] 2 44400ca2 [0,-1,0,-349354208,-2513197433088] 2
44400cb (2 curves)	0	2- 3+ 5- 37-	2- 3+ 5-  2 -4  6  6 -2
Curve Equation t 44400cb1 [0,-1,0,-19208,-803088] 2 44400cb2 [0,-1,0,-99208,11356912] 2
44400cc (2 curves)	2	2- 3+ 5- 37-	2- 3+ 5- -2 -6 -1  3 -8
Curve Equation t Generators 44400cc1 [0,-1,0,-19208,118512] 1 [-134:518:1]&[-108:960:1] 44400cc2 [0,-1,0,-1129208,462233712] 1 [796:-8192:1]&[601:548:1]
44400cd (1 curve)	0	2- 3+ 5- 37-	2- 3+ 5-  5 -1  0 -3 -8
Curve Equation t 44400cd1 [0,-1,0,-2928,-387648] 1
44400ce (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+ -1  0  1  6  1
Curve Equation t Generators 44400ce1 [0,1,0,-4293,-111537] 1 [99:666:1] 44400ce2 [0,1,0,17307,-502497] 1 [20937:303918:343]
44400cf (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+ -1 -3  1  3  7
Curve Equation t Generators 44400cf1 [0,1,0,792,33588] 1 [-12:150:1] 44400cf2 [0,1,0,-59208,5529588] 1 [68:1350:1]
44400cg (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+ -1 -3 -2 -3 -2
Curve Equation t Generators 44400cg1 [0,1,0,-33358408,98933475188] 1 [14174:1572864:1] 44400cg2 [0,1,0,-2945614408,61532568291188] 1 [33374:632064:1]
44400ch (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+ -1 -3  7  3  1
Curve Equation t Generators 44400ch1 [0,1,0,50592,11971188] 1 [-102:2400:1] 44400ch2 [0,1,0,-2835408,1839031188] 1 [1686:1100800:27]
44400ci (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+  2  0  1 -6 -2
Curve Equation t Generators 44400ci1 [0,1,0,-46533,-7397937] 1 [1443:54150:1] 44400ci2 [0,1,0,397467,148668063] 1 [161318927:6731332350:117649]
44400cj (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+  2  0  1 -6 -2
Curve Equation t Generators 44400cj1 [0,1,0,-962133,376215363] 1 [318:10125:1] 44400cj2 [0,1,0,-78722133,268813455363] 1 [5118:525:1]
44400ck (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+  2 -6  1 -3 -8
Curve Equation t Generators 44400ck1 [0,1,0,-480208,13853588] 1 [-1:3786:1] 44400ck2 [0,1,0,-28230208,57722753588] 1 [127706268077:-39116660478:41781923]
44400cl (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+ -2  2  1 -1  4
Curve Equation t Generators 44400cl1 [0,1,0,-4168,99188] 1 [62:-288:1]
44400cm (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+  4  2 -2  2 -2
Curve Equation t Generators 44400cm1 [0,1,0,-408,-40812] 2 [10532:133875:64] 44400cm2 [0,1,0,-20408,-1120812] 2 [663:16650:1]
44400cn (4 curves)	1	2- 3- 5+ 37+	2- 3- 5+ -4 -6 -2  6 -2
Curve Equation t Generators 44400cn1 [0,1,0,-125008,-20956012] 2 [482:5568:1] 44400cn2 [0,1,0,-2125008,-1192956012] 2 [-846:144:1] 44400cn3 [0,1,0,924992,174343988] 2 [-3302314:-1249726464:103823] 44400cn4 [0,1,0,-4195008,1474823988] 2 [-1846:54144:1]
44400co (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+  1  0  5  4 -5
Curve Equation t 44400co1 [0,1,0,-12613,-555277] 1
44400cp (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+  1  2  1 -4  3
Curve Equation t 44400cp1 [0,1,0,-33333,6012963] 1
44400cq (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+  1  5 -2 -1 -6
Curve Equation t 44400cq1 [0,1,0,-73408,-486596812] 1
44400cr (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+ -1  1  3 -3  5
Curve Equation t 44400cr1 [0,1,0,592,367188] 1
44400cs (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+ -2  2 -5  5  0
Curve Equation t 44400cs1 [0,1,0,-208,-1132] 1
44400ct (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+ -2 -4 -5  2 -6
Curve Equation t 44400ct1 [0,1,0,-533,226563] 1
44400cu (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+  4  2  4  2  3
Curve Equation t 44400cu1 [0,1,0,50352,10826388] 1
44400cv (4 curves)	0	2- 3- 5+ 37-	2- 3- 5+  4 -4 -2  2  0
Curve Equation t 44400cv1 [0,1,0,-78055408,-265457600812] 2 44400cv2 [0,1,0,-78183408,-264543424812] 4 44400cv3 [0,1,0,-30231408,-585534112812] 2 44400cv4 [0,1,0,-128183408,114956575188] 4
44400cw (2 curves)	0	2- 3- 5+ 37-	2- 3- 5+ -4  4  6 -6  2
Curve Equation t 44400cw1 [0,1,0,-233,-462] 2 44400cw2 [0,1,0,892,-2712] 2
44400cx (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+ -5  5  1  5  3
Curve Equation t 44400cx1 [0,1,0,-112408,-19112812] 1
44400cy (1 curve)	2	2- 3- 5- 37+	2- 3- 5-  0 -6 -5 -7  2
Curve Equation t Generators 44400cy1 [0,1,0,-763208,256377588] 1 [358:-5400:1]&[-492:22650:1]
44400cz (1 curve)	0	2- 3- 5- 37+	2- 3- 5-  2  0  6 -6  3
Curve Equation t 44400cz1 [0,1,0,92,-3112] 1
44400da (2 curves)	0	2- 3- 5- 37+	2- 3- 5- -2  2  6 -6  4
Curve Equation t 44400da1 [0,1,0,-866968,-319297132] 2 44400da2 [0,1,0,-13974168,-20111169132] 2
44400db (2 curves)	2	2- 3- 5- 37+	2- 3- 5- -2 -4 -6 -6 -2
Curve Equation t Generators 44400db1 [0,1,0,-768,-6732] 2 [-21:24:1]&[-12:30:1] 44400db2 [0,1,0,-3968,89268] 2 [-68:222:1]&[-38:432:1]
44400dc (1 curve)	2	2- 3- 5- 37+	2- 3- 5- -3  0 -5 -4 -7
Curve Equation t Generators 44400dc1 [0,1,0,867,5463] 1 [27:222:1]&[3:90:1]
44400dd (1 curve)	0	2- 3- 5- 37+	2- 3- 5-  4  2 -4 -2  7
Curve Equation t 44400dd1 [0,1,0,-1208,-16812] 1
44400de (1 curve)	0	2- 3- 5- 37+	2- 3- 5-  5 -2 -1 -4 -7
Curve Equation t 44400de1 [0,1,0,-9333,-351537] 1
44400df (1 curve)	2	2- 3- 5- 37+	2- 3- 5- -5 -1  0  3 -8
Curve Equation t Generators 44400df1 [0,1,0,-73208,-48602412] 1 [454:3456:1]&[508:6750:1]
44400dg (1 curve)	1	2- 3- 5- 37-	2- 3- 5-  0  2  1  0  2
Curve Equation t Generators 44400dg1 [0,1,0,-11333,-1313037] 1 [358:6375:1]
44400dh (1 curve)	1	2- 3- 5- 37-	2- 3- 5-  0  2  1  5  2
Curve Equation t Generators 44400dh1 [0,1,0,-103208,6417588] 1 [814:21504:1]
44400di (1 curve)	1	2- 3- 5- 37-	2- 3- 5-  1 -5  0 -1  0
Curve Equation t Generators 44400di1 [0,1,0,-93288,10943028] 1 [-18:-3552:1]
44400dj (2 curves)	1	2- 3- 5- 37-	2- 3- 5-  2  0 -2 -2  2
Curve Equation t Generators 44400dj1 [0,1,0,-5048,-139692] 2 [-41:6:1] 44400dj2 [0,1,0,-5848,-93292] 2 [-52:270:1]
44400dk (1 curve)	1	2- 3- 5- 37-	2- 3- 5-  3 -4 -5  2 -1
Curve Equation t Generators 44400dk1 [0,1,0,-533,15363] 1 [-26:111:1]
44400dl (1 curve)	1	2- 3- 5- 37-	2- 3- 5- -4 -6  1  4  2
Curve Equation t Generators 44400dl1 [0,1,0,-333,11463] 1 [83:750:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations