Cremona's table of elliptic curves

45450 = 2 · 3² · 5² · 101

Class	r	Atkin-Lehner	Eigenvalues
45450a (1 curve)	1	2+ 3+ 5+ 101+	2+ 3+ 5+ -1  0  6 -2  0
Curve Equation t Generators 45450a1 [1,-1,0,-177,-559] 1 [-5:16:1]
45450b (1 curve)	1	2+ 3+ 5+ 101+	2+ 3+ 5+ -1 -3  0  7  3
Curve Equation t Generators 45450b1 [1,-1,0,938208,-336784384] 1 [57920:1726688:125]
45450c (2 curves)	1	2+ 3+ 5+ 101+	2+ 3+ 5+  2  0 -2  0 -4
Curve Equation t Generators 45450c1 [1,-1,0,-425292,137713616] 2 [-229112:-7788669:512] 45450c2 [1,-1,0,-7337292,7651057616] 2 [-14578:986039:8]
45450d (2 curves)	1	2+ 3+ 5+ 101+	2+ 3+ 5+  2 -4 -6 -4  4
Curve Equation t Generators 45450d1 [1,-1,0,108,-484] 2 [10:34:1] 45450d2 [1,-1,0,-642,-4234] 2 [-11:43:1]
45450e (2 curves)	1	2+ 3+ 5+ 101+	2+ 3+ 5+ -2  0 -2 -6 -4
Curve Equation t Generators 45450e1 [1,-1,0,10983,100141] 1 [53:884:1] 45450e2 [1,-1,0,-133017,-21003859] 1 [49672327:4196552317:6859]
45450f (1 curve)	2	2+ 3+ 5+ 101-	2+ 3+ 5+ -1 -5 -4  1 -1
Curve Equation t Generators 45450f1 [1,-1,0,-942,11716] 1 [-16:158:1]&[-1:113:1]
45450g (1 curve)	0	2+ 3+ 5+ 101-	2+ 3+ 5+  2 -4  2  6 -8
Curve Equation t 45450g1 [1,-1,0,-42,-884] 1
45450h (1 curve)	0	2+ 3+ 5- 101+	2+ 3+ 5-  3  0 -7 -1  6
Curve Equation t 45450h1 [1,-1,0,-2742,-144334] 1
45450i (1 curve)	1	2+ 3+ 5- 101-	2+ 3+ 5-  1  0 -6 -2  0
Curve Equation t Generators 45450i1 [1,-1,0,-492,2916] 1 [-6:78:1]
45450j (1 curve)	1	2+ 3+ 5- 101-	2+ 3+ 5- -3  0  7 -1  6
Curve Equation t Generators 45450j1 [1,-1,0,-12,46] 1 [-1:8:1]
45450k (2 curves)	2	2+ 3- 5+ 101+	2+ 3- 5+  0  0 -4 -4 -4
Curve Equation t Generators 45450k1 [1,-1,0,-1917,24241] 2 [59:308:1]&[-338:1519:8] 45450k2 [1,-1,0,4833,152491] 2 [-146:1999:8]&[29:-577:1]
45450l (4 curves)	0	2+ 3- 5+ 101+	2+ 3- 5+  0  4  6  6  4
Curve Equation t 45450l1 [1,-1,0,-5067,-43659] 2 45450l2 [1,-1,0,-45567,3722841] 4 45450l3 [1,-1,0,-11817,9089091] 2 45450l4 [1,-1,0,-727317,238926591] 2
45450m (4 curves)	0	2+ 3- 5+ 101+	2+ 3- 5+  0 -4 -6  2  4
Curve Equation t 45450m1 [1,-1,0,-839817,-193404659] 2 45450m2 [1,-1,0,-5447817,4750979341] 4 45450m3 [1,-1,0,1824183,16495259341] 2 45450m4 [1,-1,0,-86447817,309391979341] 2
45450n (2 curves)	0	2+ 3- 5+ 101+	2+ 3- 5+  1  0 -2  0 -4
Curve Equation t 45450n1 [1,-1,0,-275607,-55449059] 1 45450n2 [1,-1,0,-1434582,617751796] 1
45450o (1 curve)	0	2+ 3- 5+ 101+	2+ 3- 5+ -1 -4  0  5  1
Curve Equation t 45450o1 [1,-1,0,858,590516] 1
45450p (1 curve)	0	2+ 3- 5+ 101+	2+ 3- 5+  3  0 -4 -7  5
Curve Equation t 45450p1 [1,-1,0,-10695042,-13459719884] 1
45450q (1 curve)	0	2+ 3- 5+ 101+	2+ 3- 5+  3  1  0 -3  1
Curve Equation t 45450q1 [1,-1,0,-6734817,6779737341] 1
45450r (1 curve)	0	2+ 3- 5+ 101+	2+ 3- 5+  3  2  6 -1 -5
Curve Equation t 45450r1 [1,-1,0,1008,-6584] 1
45450s (1 curve)	0	2+ 3- 5+ 101+	2+ 3- 5+  3 -4  0 -3  1
Curve Equation t 45450s1 [1,-1,0,-1692,-519534] 1
45450t (1 curve)	0	2+ 3- 5+ 101+	2+ 3- 5+  3 -4  6  0 -8
Curve Equation t 45450t1 [1,-1,0,-33867,809541] 1
45450u (1 curve)	0	2+ 3- 5+ 101+	2+ 3- 5+ -3  0  5 -1 -4
Curve Equation t 45450u1 [1,-1,0,-4005592542,195790984196116] 1
45450v (1 curve)	0	2+ 3- 5+ 101+	2+ 3- 5+ -3 -2  3 -3 -2
Curve Equation t 45450v1 [1,-1,0,3486933,-2818350909] 1
45450w (1 curve)	0	2+ 3- 5+ 101+	2+ 3- 5+ -3  5  0 -1  1
Curve Equation t 45450w1 [1,-1,0,-1699542,-852375884] 1
45450x (1 curve)	1	2+ 3- 5+ 101-	2+ 3- 5+  1 -2 -6  0  2
Curve Equation t Generators 45450x1 [1,-1,0,-2817,-55539] 1 [-30:51:1]
45450y (2 curves)	1	2+ 3- 5+ 101-	2+ 3- 5+  1  3  4 -3  5
Curve Equation t Generators 45450y1 [1,-1,0,1683,-188159] 1 [224:3263:1] 45450y2 [1,-1,0,-15192,5161216] 1 [2024:89888:1]
45450z (1 curve)	1	2+ 3- 5+ 101-	2+ 3- 5+ -1 -1  4  7 -3
Curve Equation t Generators 45450z1 [1,-1,0,-109917,-25931259] 1 [15114:1850043:1]
45450ba (1 curve)	1	2+ 3- 5+ 101-	2+ 3- 5+ -1  2  1  1 -6
Curve Equation t Generators 45450ba1 [1,-1,0,-57042,6904116] 1 [609:13758:1]
45450bb (1 curve)	1	2+ 3- 5+ 101-	2+ 3- 5+ -1 -2  2 -8  2
Curve Equation t Generators 45450bb1 [1,-1,0,-382617,-90995459] 1 [-355:191:1]
45450bc (1 curve)	1	2+ 3- 5+ 101-	2+ 3- 5+ -1  4 -1 -5 -4
Curve Equation t Generators 45450bc1 [1,-1,0,1683,723091] 1 [59:983:1]
45450bd (4 curves)	1	2+ 3- 5+ 101-	2+ 3- 5+  4 -6  4  0 -4
Curve Equation t Generators 45450bd1 [1,-1,0,-924941817,-10827055056659] 2 [-46087005712173977787676973366119:22867389769305445299525603275972:2623649147265574025059235059] 45450bd2 [1,-1,0,-928829817,-10731437472659] 2 [-748378924183127:53102375215651:38717382887] 45450bd3 [1,-1,0,-1075551192,-7064753134784] 2 [-123311642051:20912221908163:10793861] 45450bd4 [1,-1,0,-8153439192,278478482449216] 2 [173246677:-29074167476:4913]
45450be (4 curves)	1	2+ 3- 5+ 101-	2+ 3- 5+ -4 -4  2 -6  4
Curve Equation t Generators 45450be1 [1,-1,0,7983,466141] 2 [-21:548:1] 45450be2 [1,-1,0,-64017,5146141] 4 [-211:3143:1] 45450be3 [1,-1,0,-307017,-60706859] 2 [749:10988:1] 45450be4 [1,-1,0,-973017,369655141] 2 [579:73:1]
45450bf (1 curve)	1	2+ 3- 5- 101+	2+ 3- 5-  1  2 -2  4  2
Curve Equation t Generators 45450bf1 [1,-1,0,-1017117,372977541] 1 [57570:150927:125]
45450bg (2 curves)	1	2+ 3- 5- 101+	2+ 3- 5-  4 -4  0  0 -4
Curve Equation t Generators 45450bg1 [1,-1,0,-8367,-37459] 2 [-50:529:1] 45450bg2 [1,-1,0,-98367,-11827459] 2 [-175:154:1]
45450bh (2 curves)	2	2+ 3- 5- 101-	2+ 3- 5-  0 -2 -2 -6 -4
Curve Equation t Generators 45450bh1 [1,-1,0,-184617,-29169959] 2 [-2298:3649:8]&[-256:1253:1] 45450bh2 [1,-1,0,-2918367,-1918191209] 2 [-985:524:1]&[2626195:-3275579:1331]
45450bi (2 curves)	0	2+ 3- 5- 101-	2+ 3- 5-  0  6  4 -4  0
Curve Equation t 45450bi1 [1,-1,0,-65187,6342421] 2 45450bi2 [1,-1,0,-7587,17113621] 2
45450bj (1 curve)	2	2+ 3- 5- 101-	2+ 3- 5- -3  1 -2 -3 -7
Curve Equation t Generators 45450bj1 [1,-1,0,468,976] 1 [-1:23:1]&[8:-76:1]
45450bk (1 curve)	0	2- 3+ 5+ 101+	2- 3+ 5+ -1  5 -4 -1 -1
Curve Equation t 45450bk1 [1,-1,1,-8480,-307853] 1
45450bl (1 curve)	0	2- 3+ 5+ 101+	2- 3+ 5+  2  4  2 -6 -8
Curve Equation t 45450bl1 [1,-1,1,-380,24247] 1
45450bm (1 curve)	1	2- 3+ 5+ 101-	2- 3+ 5+ -1  0  6  2  0
Curve Equation t Generators 45450bm1 [1,-1,1,-20,27] 1 [5:3:1]
45450bn (1 curve)	1	2- 3+ 5+ 101-	2- 3+ 5+ -1  3  0 -7  3
Curve Equation t Generators 45450bn1 [1,-1,1,104245,12438747] 1 [539:14730:1]
45450bo (2 curves)	1	2- 3+ 5+ 101-	2- 3+ 5+  2  0 -2  0 -4
Curve Equation t Generators 45450bo1 [1,-1,1,-47255,-5084753] 2 [643:14846:1] 45450bo2 [1,-1,1,-815255,-283100753] 2 [-521:410:1]
45450bp (2 curves)	1	2- 3+ 5+ 101-	2- 3+ 5+  2  4 -6  4  4
Curve Equation t Generators 45450bp1 [1,-1,1,970,12097] 2 [66568:746885:512] 45450bp2 [1,-1,1,-5780,120097] 2 [4222:93835:8]
45450bq (2 curves)	1	2- 3+ 5+ 101-	2- 3+ 5+ -2  0 -2  6 -4
Curve Equation t Generators 45450bq1 [1,-1,1,-14780,782847] 1 [-67:1245:1] 45450bq2 [1,-1,1,98845,-2802653] 1 [283:-7054:1]
45450br (1 curve)	1	2- 3+ 5- 101+	2- 3+ 5-  1  0 -6  2  0
Curve Equation t Generators 45450br1 [1,-1,1,-4430,-74303] 1 [-55:53:1]
45450bs (1 curve)	1	2- 3+ 5- 101+	2- 3+ 5- -3  0  7  1  6
Curve Equation t Generators 45450bs1 [1,-1,1,-110,-1133] 1 [662:5605:8]
45450bt (1 curve)	0	2- 3+ 5- 101-	2- 3+ 5-  3  0 -7  1  6
Curve Equation t 45450bt1 [1,-1,1,-305,5447] 1
45450bu (2 curves)	1	2- 3- 5+ 101+	2- 3- 5+  0  0  0  0 -4
Curve Equation t Generators 45450bu1 [1,-1,1,-36404105,84476885897] 2 [3379:4560:1] 45450bu2 [1,-1,1,-27656105,126099869897] 2 [90859:-27389180:1]
45450bv (2 curves)	1	2- 3- 5+ 101+	2- 3- 5+  0  2  0  8  4
Curve Equation t Generators 45450bv1 [1,-1,1,-60980,5794647] 2 [-121:3435:1] 45450bv2 [1,-1,1,-87980,178647] 2 [-141:3195:1]
45450bw (1 curve)	1	2- 3- 5+ 101+	2- 3- 5+ -1  2  2 -4  2
Curve Equation t Generators 45450bw1 [1,-1,1,-40685,2991957] 1 [335:5016:1]
45450bx (2 curves)	1	2- 3- 5+ 101+	2- 3- 5+  2 -2 -4 -2  0
Curve Equation t Generators 45450bx1 [1,-1,1,-20255,-1113753] 1 [215:1998:1] 45450bx2 [1,-1,1,134995,35997747] 1 [-1441090:219528567:39304]
45450by (1 curve)	1	2- 3- 5+ 101+	2- 3- 5+  3  0 -3  3 -4
Curve Equation t Generators 45450by1 [1,-1,1,3145,21647] 1 [9:220:1]
45450bz (1 curve)	1	2- 3- 5+ 101+	2- 3- 5+  3  2  3 -7 -2
Curve Equation t Generators 45450bz1 [1,-1,1,-249755,-70355253] 1 [779:14010:1]
45450ca (2 curves)	0	2- 3- 5+ 101-	2- 3- 5+  1  0  4 -3 -7
Curve Equation t 45450ca1 [1,-1,1,4929520,-3353603853] 1 45450ca2 [1,-1,1,-50474480,190385436147] 1
45450cb (1 curve)	0	2- 3- 5+ 101-	2- 3- 5+  1 -2 -2  3  7
Curve Equation t 45450cb1 [1,-1,1,-7430,248447] 1
45450cc (2 curves)	0	2- 3- 5+ 101-	2- 3- 5+  1  6  1 -3  2
Curve Equation t 45450cc1 [1,-1,1,-15980,-775353] 1 45450cc2 [1,-1,1,31270,-3988353] 1
45450cd (1 curve)	0	2- 3- 5+ 101-	2- 3- 5+ -1  6  6 -1  3
Curve Equation t 45450cd1 [1,-1,1,-3380,-87753] 1
45450ce (1 curve)	0	2- 3- 5+ 101-	2- 3- 5+ -2 -2  4 -6  4
Curve Equation t 45450ce1 [1,-1,1,-295655,218818847] 1
45450cf (2 curves)	0	2- 3- 5+ 101-	2- 3- 5+  4 -2  4  0  4
Curve Equation t 45450cf1 [1,-1,1,-66380,-6328753] 2 45450cf2 [1,-1,1,-174380,19591247] 2
45450cg (1 curve)	0	2- 3- 5+ 101-	2- 3- 5+  5  0  4 -3 -7
Curve Equation t 45450cg1 [1,-1,1,96370,723997] 1
45450ch (1 curve)	0	2- 3- 5+ 101-	2- 3- 5+  5  2  2  3 -5
Curve Equation t 45450ch1 [1,-1,1,-27005,-1971003] 1
45450ci (2 curves)	0	2- 3- 5- 101+	2- 3- 5- -1  0  2  0 -4
Curve Equation t 45450ci1 [1,-1,1,-6890180,-6938022553] 1 45450ci2 [1,-1,1,-35864555,77183109947] 3
45450cj (1 curve)	2	2- 3- 5- 101+	2- 3- 5- -3 -4 -6  0 -8
Curve Equation t Generators 45450cj1 [1,-1,1,-1355,6747] 1 [-1:90:1]&[-31:150:1]
45450ck (2 curves)	2	2- 3- 5- 101+	2- 3- 5- -4 -4  0  0 -4
Curve Equation t Generators 45450ck1 [1,-1,1,-335,-233] 2 [25:-94:1]&[-98:395:8] 45450ck2 [1,-1,1,-3935,-93833] 2 [-37:26:1]&[-35:26:1]
45450cl (2 curves)	1	2- 3- 5- 101-	2- 3- 5-  0 -2  2  6 -4
Curve Equation t Generators 45450cl1 [1,-1,1,-7385,-231883] 2 [-418:975:8] 45450cl2 [1,-1,1,-116735,-15322183] 2 [-2096006:1087773:10648]
45450cm (2 curves)	1	2- 3- 5- 101-	2- 3- 5-  0  6 -4  4  0
Curve Equation t Generators 45450cm1 [1,-1,1,-1629680,791172947] 2 [-81:30415:1] 45450cm2 [1,-1,1,-189680,2139012947] 2 [303:45775:1]
45450cn (1 curve)	1	2- 3- 5- 101-	2- 3- 5-  1 -2 -2  8  2
Curve Equation t Generators 45450cn1 [1,-1,1,-15305,-724903] 1 [-71:40:1]
45450co (1 curve)	1	2- 3- 5- 101-	2- 3- 5- -1 -2  6  0  2
Curve Equation t Generators 45450co1 [1,-1,1,-70430,-7012803] 1 [419:5865:1]
45450cp (1 curve)	1	2- 3- 5- 101-	2- 3- 5-  3  1  2  3 -7
Curve Equation t Generators 45450cp1 [1,-1,1,11695,133697] 1 [69:-1160:1]

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