Cremona's table of elliptic curves

101920 = 2⁵ · 5 · 7² · 13

Class	r	Atkin-Lehner	Eigenvalues
101920a (1 curve)	2	2+ 5+ 7+ 13-	2+ -2 5+ 7+ -1 13-  1 -5
Curve Equation t Generators 101920a1 [0,1,0,-30641,2058559] 1 [-131:1960:1]&[65:588:1]
101920b (1 curve)	0	2+ 5+ 7- 13+	2+ -1 5+ 7-  0 13+  0 -6
Curve Equation t 101920b1 [0,-1,0,-195281,50242081] 1
101920c (2 curves)	0	2+ 5+ 7- 13+	2+  2 5+ 7-  2 13+  2 -6
Curve Equation t 101920c1 [0,-1,0,-17941366,-29244390720] 2 101920c2 [0,-1,0,-17929361,-29285493439] 2
101920d (2 curves)	0	2+ 5+ 7- 13+	2+  2 5+ 7-  2 13+ -6  2
Curve Equation t 101920d1 [0,-1,0,-3446,58976] 2 101920d2 [0,-1,0,8559,368705] 2
101920e (2 curves)	0	2+ 5+ 7- 13+	2+ -2 5+ 7- -2 13+  2  6
Curve Equation t 101920e1 [0,1,0,-17941366,29244390720] 2 101920e2 [0,1,0,-17929361,29285493439] 2
101920f (2 curves)	0	2+ 5+ 7- 13+	2+ -2 5+ 7- -2 13+ -6 -2
Curve Equation t 101920f1 [0,1,0,-3446,-58976] 2 101920f2 [0,1,0,8559,-368705] 2
101920g (1 curve)	0	2+ 5+ 7- 13+	2+ -2 5+ 7-  3 13+  7  1
Curve Equation t 101920g1 [0,1,0,-5189361,6018333439] 1
101920h (2 curves)	1	2+ 5+ 7- 13-	2+  2 5+ 7- -2 13-  2 -4
Curve Equation t Generators 101920h1 [0,-1,0,-8346,-1137604] 2 [1809853555620:1836794792818:13772224773] 101920h2 [0,-1,0,-222721,-40282479] 2 [56763639:107826852:103823]
101920i (2 curves)	1	2+ 5+ 7- 13-	2+  2 5+ 7-  4 13- -4  2
Curve Equation t Generators 101920i1 [0,-1,0,-12266,-370264] 2 [-37828950:-10279612:421875] 101920i2 [0,-1,0,-180336,-29412760] 2 [-2620962081099525:-68192195896034:10611741234375]
101920j (2 curves)	1	2+ 5+ 7- 13-	2+ -2 5+ 7-  2 13-  2  4
Curve Equation t Generators 101920j1 [0,1,0,-8346,1137604] 2 [230:3382:1] 101920j2 [0,1,0,-222721,40282479] 2 [235:988:1]
101920k (1 curve)	1	2+ 5- 7+ 13-	2+  1 5- 7+  0 13-  0  6
Curve Equation t Generators 101920k1 [0,1,0,-3985,-147617] 1 [81:260:1]
101920l (1 curve)	1	2+ 5- 7+ 13-	2+  2 5- 7+  3 13- -7 -1
Curve Equation t Generators 101920l1 [0,-1,0,-105905,-17515903] 1 [1399:50700:1]
101920m (1 curve)	1	2+ 5- 7- 13+	2+  2 5- 7- -1 13+ -1  5
Curve Equation t Generators 101920m1 [0,-1,0,-625,-5823] 1 [567:13476:1]
101920n (2 curves)	1	2+ 5- 7- 13+	2+  2 5- 7-  2 13+ -2 -4
Curve Equation t Generators 101920n1 [0,-1,0,-170,-3268] 2 [334:6090:1] 101920n2 [0,-1,0,-4545,-116143] 2 [89:420:1]
101920o (2 curves)	1	2+ 5- 7- 13+	2+  2 5- 7- -4 13+  8  2
Curve Equation t Generators 101920o1 [0,-1,0,-30871290,-65941176328] 2 [-124208853844448774513846076721221289121142688235396618112:241341735257402011691070114035360758834649046482635621979:38073450616663117228539797486041062516370814778998784] 101920o2 [0,-1,0,-39106720,-27979138200] 2 [-16775866517822481294362700415155:-1512772747747938170066194173056960:18546586447332847274078878773]
101920p (2 curves)	1	2+ 5- 7- 13+	2+ -2 5- 7-  0 13+  0  6
Curve Equation t Generators 101920p1 [0,1,0,-1290,-16640] 2 [198:2744:1] 101920p2 [0,1,0,-4720,105468] 2 [23:98:1]
101920q (2 curves)	1	2+ 5- 7- 13+	2+ -2 5- 7-  0 13+  4 -2
Curve Equation t Generators 101920q1 [0,1,0,-26770,-1694400] 2 [-95:20:1] 101920q2 [0,1,0,-30200,-1236152] 2 [-134:650:1]
101920r (2 curves)	1	2+ 5- 7- 13+	2+ -2 5- 7- -2 13+ -2  4
Curve Equation t Generators 101920r1 [0,1,0,-170,3268] 2 [6:50:1] 101920r2 [0,1,0,-4545,116143] 2 [51:-140:1]
101920s (2 curves)	0	2+ 5- 7- 13-	2+  0 5- 7-  2 13-  2  2
Curve Equation t 101920s1 [0,0,0,-21217,-1189524] 2 101920s2 [0,0,0,-20972,-1218336] 2
101920t (4 curves)	0	2+ 5- 7- 13-	2+  0 5- 7- -4 13-  2 -4
Curve Equation t 101920t1 [0,0,0,-1893997,1002538236] 4 101920t2 [0,0,0,-1479947,1452941826] 2 101920t3 [0,0,0,-2314172,524883296] 2 101920t4 [0,0,0,-30297827,64189698454] 4
101920u (1 curve)	1	2- 5+ 7+ 13-	2-  2 5+ 7+  1 13-  1  5
Curve Equation t Generators 101920u1 [0,-1,0,-30641,-2058559] 1 [520:11061:1]
101920v (4 curves)	1	2- 5+ 7- 13+	2-  0 5+ 7-  4 13+ -2  4
Curve Equation t Generators 101920v1 [0,0,0,-10633,-419832] 4 [4169:269100:1] 101920v2 [0,0,0,-4508,-900032] 2 [114:260:1] 101920v3 [0,0,0,-17003,142002] 2 [405823086:26191254375:97336] 101920v4 [0,0,0,-169883,-26950882] 2 [3044934:195792974:729]
101920w (4 curves)	1	2- 5+ 7- 13+	2-  0 5+ 7- -4 13+ -2 -4
Curve Equation t Generators 101920w1 [0,0,0,-10633,419832] 4 [7:588:1] 101920w2 [0,0,0,-4508,900032] 2 [-14:980:1] 101920w3 [0,0,0,-17003,-142002] 2 [-126:2793:8] 101920w4 [0,0,0,-169883,26950882] 2 [1922:489:8]
101920x (1 curve)	1	2- 5+ 7- 13+	2-  1 5+ 7-  0 13+  0  6
Curve Equation t Generators 101920x1 [0,1,0,-195281,-50242081] 1 [14529:23876:27]
101920y (1 curve)	1	2- 5+ 7- 13+	2-  1 5+ 7- -3 13+  2 -2
Curve Equation t Generators 101920y1 [0,1,0,-16,-17816] 1 [30:98:1]
101920z (1 curve)	1	2- 5+ 7- 13+	2- -1 5+ 7-  3 13+  2  2
Curve Equation t Generators 101920z1 [0,-1,0,-16,17816] 1 [61:490:1]
101920ba (1 curve)	1	2- 5+ 7- 13+	2-  2 5+ 7- -3 13+  7 -1
Curve Equation t Generators 101920ba1 [0,-1,0,-5189361,-6018333439] 1 [2199665096315:87980574178692:620650477]
101920bb (1 curve)	2	2- 5+ 7- 13-	2-  0 5+ 7-  3 13- -5  1
Curve Equation t Generators 101920bb1 [0,0,0,532,-1792] 1 [4:20:1]&[16:104:1]
101920bc (1 curve)	2	2- 5+ 7- 13-	2-  0 5+ 7- -3 13- -5 -1
Curve Equation t Generators 101920bc1 [0,0,0,532,1792] 1 [-3:13:1]&[16:120:1]
101920bd (2 curves)	0	2- 5+ 7- 13-	2-  0 5+ 7-  6 13-  0  0
Curve Equation t 101920bd1 [0,0,0,-833,5488] 2 101920bd2 [0,0,0,2597,39102] 2
101920be (2 curves)	0	2- 5+ 7- 13-	2-  0 5+ 7- -6 13-  0  0
Curve Equation t 101920be1 [0,0,0,-833,-5488] 2 101920be2 [0,0,0,2597,-39102] 2
101920bf (2 curves)	2	2- 5+ 7- 13-	2- -2 5+ 7- -4 13- -4 -2
Curve Equation t Generators 101920bf1 [0,1,0,-12266,370264] 2 [3855:33614:27]&[-3:638:1] 101920bf2 [0,1,0,-180336,29412760] 2 [6942:-8918:27]&[2:5390:1]
101920bg (1 curve)	0	2- 5+ 7- 13-	2-  3 5+ 7- -3 13-  6  6
Curve Equation t 101920bg1 [0,0,0,-29961883,63133497182] 1
101920bh (1 curve)	0	2- 5+ 7- 13-	2- -3 5+ 7-  3 13-  6 -6
Curve Equation t 101920bh1 [0,0,0,-29961883,-63133497182] 1
101920bi (1 curve)	1	2- 5- 7+ 13+	2-  0 5- 7+  3 13+  5 -1
Curve Equation t Generators 101920bi1 [0,0,0,26068,614656] 1 [0:784:1]
101920bj (1 curve)	1	2- 5- 7+ 13+	2-  0 5- 7+ -3 13+  5  1
Curve Equation t Generators 101920bj1 [0,0,0,26068,-614656] 1 [205:3653:1]
101920bk (1 curve)	2	2- 5- 7+ 13-	2- -1 5- 7+  0 13-  0 -6
Curve Equation t Generators 101920bk1 [0,-1,0,-3985,147617] 1 [89:700:1]&[49:260:1]
101920bl (1 curve)	2	2- 5- 7+ 13-	2- -2 5- 7+ -3 13- -7  1
Curve Equation t Generators 101920bl1 [0,1,0,-105905,17515903] 1 [-229:5460:1]&[-374:2225:1]
101920bm (2 curves)	0	2- 5- 7- 13+	2-  2 5- 7-  0 13+  0 -6
Curve Equation t 101920bm1 [0,-1,0,-1290,16640] 2 101920bm2 [0,-1,0,-4720,-105468] 2
101920bn (2 curves)	0	2- 5- 7- 13+	2-  2 5- 7-  0 13+  4  2
Curve Equation t 101920bn1 [0,-1,0,-26770,1694400] 2 101920bn2 [0,-1,0,-30200,1236152] 2
101920bo (1 curve)	2	2- 5- 7- 13+	2- -2 5- 7-  1 13+ -1 -5
Curve Equation t Generators 101920bo1 [0,1,0,-625,5823] 1 [11:-20:1]&[-22:97:1]
101920bp (2 curves)	0	2- 5- 7- 13+	2- -2 5- 7-  4 13+  8 -2
Curve Equation t 101920bp1 [0,1,0,-30871290,65941176328] 2 101920bp2 [0,1,0,-39106720,27979138200] 2
101920bq (2 curves)	1	2- 5- 7- 13-	2-  0 5- 7- -2 13-  2 -2
Curve Equation t Generators 101920bq1 [0,0,0,-21217,1189524] 2 [-112:1470:1] 101920bq2 [0,0,0,-20972,1218336] 2 [77:245:1]
101920br (4 curves)	1	2- 5- 7- 13-	2-  0 5- 7-  4 13-  2  4
Curve Equation t Generators 101920br1 [0,0,0,-1893997,-1002538236] 4 [30393063456:2492924056350:4330747] 101920br2 [0,0,0,-1479947,-1452941826] 2 [503195910781736910:-41392444260255672662:71809740037125] 101920br3 [0,0,0,-2314172,-524883296] 4 [-135130:3338868:125] 101920br4 [0,0,0,-30297827,-64189698454] 2 [69696261825743653786:4016055723764098764750:8642512244953313]
101920bs (2 curves)	1	2- 5- 7- 13-	2-  2 5- 7- -6 13-  6  6
Curve Equation t Generators 101920bs1 [0,-1,0,-4230,-104488] 2 [57708:163736:729] 101920bs2 [0,-1,0,-3985,-117375] 2 [237:3492:1]
101920bt (2 curves)	1	2- 5- 7- 13-	2- -2 5- 7-  6 13-  6 -6
Curve Equation t Generators 101920bt1 [0,1,0,-4230,104488] 2 [-12:392:1] 101920bt2 [0,1,0,-3985,117375] 2 [23:-196:1]

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