Cremona's table of elliptic curves

120640 = 2⁶ · 5 · 13 · 29

Class	r	Atkin-Lehner	Eigenvalues
120640a (4 curves)	1	2+ 5+ 13+ 29+	2+  0 5+ -4  4 13+ -6  4
Curve Equation t Generators 120640a1 [0,0,0,-947528,355006408] 2 [558:164:1] 120640a2 [0,0,0,-947548,354990672] 4 [557:123:1] 120640a3 [0,0,0,-880268,407549808] 2 [-1066:11600:1] 120640a4 [0,0,0,-1015148,301424432] 2 [-25521:550999:27]
120640b (1 curve)	1	2+ 5+ 13+ 29+	2+  1 5+  3  4 13+ -1  1
Curve Equation t Generators 120640b1 [0,1,0,-3141,66275] 1 [14408:15877:512]
120640c (1 curve)	1	2+ 5+ 13+ 29+	2+ -1 5+  4 -4 13+  3 -3
Curve Equation t Generators 120640c1 [0,-1,0,-34401,-2445599] 1 [94255:1016128:343]
120640d (2 curves)	1	2+ 5+ 13+ 29+	2+  2 5+  2  0 13+ -6 -4
Curve Equation t Generators 120640d1 [0,-1,0,-12561,546065] 2 [56:123:1] 120640d2 [0,-1,0,-12481,553281] 2 [105:624:1]
120640e (2 curves)	1	2+ 5+ 13+ 29+	2+  2 5+ -2 -4 13+ -6  0
Curve Equation t Generators 120640e1 [0,-1,0,-11201,433601] 2 [40:219:1] 120640e2 [0,-1,0,9279,1822145] 2 [-79:768:1]
120640f (1 curve)	1	2+ 5+ 13+ 29+	2+  3 5+ -1  4 13+ -3  7
Curve Equation t Generators 120640f1 [0,0,0,-688,-1888] 1 [-26711454:101088467:1481544]
120640g (1 curve)	0	2+ 5+ 13+ 29-	2+  1 5+  0  4 13+ -7  7
Curve Equation t 120640g1 [0,1,0,959,-18401] 1
120640h (2 curves)	2	2+ 5+ 13+ 29-	2+ -1 5+ -1  0 13+  3  1
Curve Equation t Generators 120640h1 [0,-1,0,-261,1711] 1 [-6:55:1]&[10:1:1] 120640h2 [0,-1,0,-1061,-11369] 1 [-22:29:1]&[50:241:1]
120640i (2 curves)	0	2+ 5+ 13+ 29-	2+ -1 5+  5  0 13+ -3  1
Curve Equation t 120640i1 [0,-1,0,-91541,-10406195] 1 120640i2 [0,-1,0,-7371541,-7700998195] 1
120640j (1 curve)	0	2+ 5+ 13- 29+	2+  1 5+ -1  4 13-  1  7
Curve Equation t 120640j1 [0,1,0,-2951,10799] 1
120640k (1 curve)	0	2+ 5+ 13- 29+	2+ -1 5+  1 -4 13-  1 -7
Curve Equation t 120640k1 [0,-1,0,-2951,-10799] 1
120640l (2 curves)	0	2+ 5+ 13- 29+	2+  2 5+  0  2 13-  0 -2
Curve Equation t 120640l1 [0,-1,0,-241,-15] 2 120640l2 [0,-1,0,-2561,50561] 2
120640m (2 curves)	0	2+ 5+ 13- 29+	2+  2 5+  0 -2 13-  0  2
Curve Equation t 120640m1 [0,-1,0,-14801,-687919] 2 120640m2 [0,-1,0,-17121,-455455] 2
120640n (2 curves)	0	2+ 5+ 13- 29+	2+  2 5+  0 -2 13- -4 -6
Curve Equation t 120640n1 [0,-1,0,-41761,2732961] 2 120640n2 [0,-1,0,-635681,195281825] 2
120640o (2 curves)	1	2+ 5+ 13- 29-	2+  0 5+  2  4 13-  0 -4
Curve Equation t Generators 120640o1 [0,0,0,-1088,-13752] 2 [306:195:8] 120640o2 [0,0,0,-508,-28368] 2 [88:780:1]
120640p (2 curves)	1	2+ 5+ 13- 29-	2+  0 5+  4  0 13-  0 -4
Curve Equation t Generators 120640p1 [0,0,0,17,132] 2 [66:231:8] 120640p2 [0,0,0,-308,1952] 2 [4:28:1]
120640q (2 curves)	1	2+ 5+ 13- 29-	2+  0 5+ -4  0 13-  0  4
Curve Equation t Generators 120640q1 [0,0,0,17,-132] 2 [264:4290:1] 120640q2 [0,0,0,-308,-1952] 2 [-12:4:1]
120640r (1 curve)	1	2+ 5+ 13- 29-	2+  1 5+  1 -4 13- -3 -7
Curve Equation t Generators 120640r1 [0,1,0,-31,55] 1 [6:11:1]
120640s (1 curve)	1	2+ 5+ 13- 29-	2+ -1 5+ -1  4 13- -3  7
Curve Equation t Generators 120640s1 [0,-1,0,-31,-55] 1 [-22:11:8]
120640t (2 curves)	1	2+ 5+ 13- 29-	2+  2 5+  0 -2 13-  2  6
Curve Equation t Generators 120640t1 [0,-1,0,-5701,153285] 2 [-7395:66144:125] 120640t2 [0,-1,0,6799,720785] 2 [741:26000:27]
120640u (2 curves)	1	2+ 5+ 13- 29-	2+  2 5+  4  2 13- -2  2
Curve Equation t Generators 120640u1 [0,-1,0,-2496,-611230] 2 [2763275:32950554:15625] 120640u2 [0,-1,0,-124441,-16732359] 2 [42672:1649375:27]
120640v (2 curves)	1	2+ 5+ 13- 29-	2+  2 5+ -4 -2 13- -6 -2
Curve Equation t Generators 120640v1 [0,-1,0,-5816,195266] 2 [955:29406:1] 120640v2 [0,-1,0,-96441,11559641] 2 [-289:3900:1]
120640w (2 curves)	1	2+ 5+ 13- 29-	2+ -2 5+  0 -2 13- -6 -2
Curve Equation t Generators 120640w1 [0,1,0,-741,-3605] 2 [47:-260:1] 120640w2 [0,1,0,2639,-24561] 2 [34:325:1]
120640x (2 curves)	1	2+ 5+ 13- 29-	2+ -2 5+  4  2 13- -6  2
Curve Equation t Generators 120640x1 [0,1,0,-5816,-195266] 2 [61907358:2075425625:54872] 120640x2 [0,1,0,-96441,-11559641] 2 [4514:302575:1]
120640y (2 curves)	1	2+ 5+ 13- 29-	2+ -2 5+ -4 -2 13- -2 -2
Curve Equation t Generators 120640y1 [0,1,0,-2496,611230] 2 [21:754:1] 120640y2 [0,1,0,-124441,16732359] 2 [137:-1508:1]
120640z (1 curve)	0	2+ 5- 13+ 29+	2+  1 5-  1  4 13+ -3 -3
Curve Equation t 120640z1 [0,1,0,-12015,166823] 1
120640ba (1 curve)	0	2+ 5- 13+ 29+	2+ -1 5- -1 -4 13+ -3  3
Curve Equation t 120640ba1 [0,-1,0,-12015,-166823] 1
120640bb (2 curves)	0	2+ 5- 13+ 29+	2+  2 5-  0  6 13+ -8 -6
Curve Equation t 120640bb1 [0,-1,0,-125,77] 2 120640bb2 [0,-1,0,-1425,21137] 2
120640bc (2 curves)	0	2+ 5- 13+ 29+	2+  2 5-  0 -6 13+  4  6
Curve Equation t 120640bc1 [0,-1,0,-2785,-47775] 2 120640bc2 [0,-1,0,-12065,466337] 2
120640bd (2 curves)	0	2+ 5- 13+ 29+	2+ -2 5-  0  2 13+  4 -2
Curve Equation t 120640bd1 [0,1,0,-32605,-2276925] 2 120640bd2 [0,1,0,-33905,-2086865] 2
120640be (2 curves)	1	2+ 5- 13+ 29-	2+  0 5-  0  6 13+  6  2
Curve Equation t Generators 120640be1 [0,0,0,-472,-3864] 2 [226:585:8] 120640be2 [0,0,0,-1052,7504] 2 [48:260:1]
120640bf (2 curves)	1	2+ 5- 13+ 29-	2+  2 5- -4  0 13+  0  8
Curve Equation t Generators 120640bf1 [0,-1,0,-1165,15645] 2 [12:57:1] 120640bf2 [0,-1,0,-1745,-943] 2 [-24:665:27]
120640bg (2 curves)	1	2+ 5- 13+ 29-	2+ -2 5-  0 -4 13+  4  4
Curve Equation t Generators 120640bg1 [0,1,0,-736685,241592083] 2 [-314:21025:1] 120640bg2 [0,1,0,-1224465,-118682225] 2 [-430:18125:1]
120640bh (4 curves)	1	2+ 5- 13- 29+	2+  0 5-  0 -4 13-  6 -4
Curve Equation t Generators 120640bh1 [0,0,0,-9225932,10783890544] 2 [933:54665:1] 120640bh2 [0,0,0,-10302412,8110344816] 4 [677:38025:1] 120640bh3 [0,0,0,30473908,56405818224] 2 [48933:10895625:1] 120640bh4 [0,0,0,-68302412,-211292055184] 2 [49352:10799100:1]
120640bi (1 curve)	1	2+ 5- 13- 29+	2+ -1 5-  3  4 13- -1 -3
Curve Equation t Generators 120640bi1 [0,-1,0,-1645,22007] 1 [34:65:1]
120640bj (2 curves)	1	2+ 5- 13- 29+	2+  2 5- -2  0 13-  6 -4
Curve Equation t Generators 120640bj1 [0,-1,0,840,842] 2 [1162:14235:8] 120640bj2 [0,-1,0,-3385,10137] 2 [32622:369161:216]
120640bk (2 curves)	1	2+ 5- 13- 29+	2+ -2 5-  2  0 13-  6  4
Curve Equation t Generators 120640bk1 [0,1,0,840,-842] 2 [53:442:1] 120640bk2 [0,1,0,-3385,-10137] 2 [554:2431:8]
120640bl (1 curve)	1	2+ 5- 13- 29+	2+  3 5- -3 -4 13- -3  5
Curve Equation t Generators 120640bl1 [0,0,0,-380992,-90468064] 1 [-540346142194290:324600514457687:1521668638008]
120640bm (2 curves)	2	2+ 5- 13- 29-	2+  0 5- -2 -2 13- -2 -6
Curve Equation t Generators 120640bm1 [0,0,0,-9712,349416] 2 [17:435:1]&[-18:720:1] 120640bm2 [0,0,0,7108,1432624] 2 [-12:-1160:1]&[-27:1105:1]
120640bn (2 curves)	2	2+ 5- 13- 29-	2+  0 5- -2 -2 13- -2 -6
Curve Equation t Generators 120640bn1 [0,0,0,-5516332,-4986803664] 2 [-1355:111:1]&[94050:9975927:8] 120640bn2 [0,0,0,-5434412,-5142091216] 2 [2998:74240:1]&[3085:86333:1]
120640bo (1 curve)	0	2+ 5- 13- 29-	2+  1 5-  1  0 13-  5 -7
Curve Equation t 120640bo1 [0,1,0,-8845,-323147] 1
120640bp (1 curve)	0	2+ 5- 13- 29-	2+ -1 5-  3  0 13- -3 -1
Curve Equation t 120640bp1 [0,-1,0,-85,-115] 1
120640bq (2 curves)	2	2+ 5- 13- 29-	2+ -2 5-  0 -2 13- -6 -2
Curve Equation t Generators 120640bq1 [0,1,0,-1822145,946114975] 2 [21225:-9280:27]&[-245:37120:1] 120640bq2 [0,1,0,-1821825,946464223] 2 [123:-26912:1]&[-979:42340:1]
120640br (2 curves)	0	2+ 5- 13- 29-	2+ -2 5-  4 -6 13-  2  2
Curve Equation t 120640br1 [0,1,0,-61210305,184303619743] 2 120640br2 [0,1,0,-59899585,192575049375] 2
120640bs (1 curve)	0	2+ 5- 13- 29-	2+  3 5-  4  4 13-  7 -3
Curve Equation t 120640bs1 [0,0,0,-172,-1744] 1
120640bt (4 curves)	0	2- 5+ 13+ 29+	2-  0 5+  4 -4 13+ -6 -4
Curve Equation t 120640bt1 [0,0,0,-947528,-355006408] 2 120640bt2 [0,0,0,-947548,-354990672] 4 120640bt3 [0,0,0,-880268,-407549808] 2 120640bt4 [0,0,0,-1015148,-301424432] 2
120640bu (1 curve)	0	2- 5+ 13+ 29+	2-  1 5+ -4  4 13+  3  3
Curve Equation t 120640bu1 [0,1,0,-34401,2445599] 1
120640bv (1 curve)	0	2- 5+ 13+ 29+	2- -1 5+ -3 -4 13+ -1 -1
Curve Equation t 120640bv1 [0,-1,0,-3141,-66275] 1
120640bw (2 curves)	0	2- 5+ 13+ 29+	2- -2 5+  2  4 13+ -6  0
Curve Equation t 120640bw1 [0,1,0,-11201,-433601] 2 120640bw2 [0,1,0,9279,-1822145] 2
120640bx (2 curves)	0	2- 5+ 13+ 29+	2- -2 5+ -2  0 13+ -6  4
Curve Equation t 120640bx1 [0,1,0,-12561,-546065] 2 120640bx2 [0,1,0,-12481,-553281] 2
120640by (1 curve)	0	2- 5+ 13+ 29+	2- -3 5+  1 -4 13+ -3 -7
Curve Equation t 120640by1 [0,0,0,-688,1888] 1
120640bz (2 curves)	1	2- 5+ 13+ 29-	2-  1 5+  1  0 13+  3 -1
Curve Equation t Generators 120640bz1 [0,1,0,-261,-1711] 1 [2480:4531:125] 120640bz2 [0,1,0,-1061,11369] 1 [80:667:1]
120640ca (2 curves)	1	2- 5+ 13+ 29-	2-  1 5+ -5  0 13+ -3 -1
Curve Equation t Generators 120640ca1 [0,1,0,-91541,10406195] 1 [-1190:36445:8] 120640ca2 [0,1,0,-7371541,7700998195] 1 [12522:1073:8]
120640cb (1 curve)	1	2- 5+ 13+ 29-	2- -1 5+  0 -4 13+ -7 -7
Curve Equation t Generators 120640cb1 [0,-1,0,959,18401] 1 [53:-464:1]
120640cc (1 curve)	1	2- 5+ 13- 29+	2-  1 5+ -3 -4 13-  3 -5
Curve Equation t Generators 120640cc1 [0,1,0,-91,295] 1 [6:1:1]
120640cd (1 curve)	1	2- 5+ 13- 29+	2- -1 5+  3  4 13-  3  5
Curve Equation t Generators 120640cd1 [0,-1,0,-91,-295] 1 [-380:55:64]
120640ce (2 curves)	1	2- 5+ 13- 29+	2- -2 5+  0  2 13-  0 -2
Curve Equation t Generators 120640ce1 [0,1,0,-14801,687919] 2 [42:377:1] 120640ce2 [0,1,0,-17121,455455] 2 [26:169:1]
120640cf (2 curves)	1	2- 5+ 13- 29+	2- -2 5+  0  2 13- -4  6
Curve Equation t Generators 120640cf1 [0,1,0,-41761,-2732961] 2 [-13030:88247:125] 120640cf2 [0,1,0,-635681,-195281825] 2 [-281616390:-24682489:614125]
120640cg (2 curves)	1	2- 5+ 13- 29+	2- -2 5+  0 -2 13-  0  2
Curve Equation t Generators 120640cg1 [0,1,0,-241,15] 2 [-14:29:1] 120640cg2 [0,1,0,-2561,-50561] 2 [-30:13:1]
120640ch (2 curves)	2	2- 5+ 13- 29-	2-  0 5+ -2 -4 13-  0  4
Curve Equation t Generators 120640ch1 [0,0,0,-1088,13752] 2 [134:-1508:1]&[-7:145:1] 120640ch2 [0,0,0,-508,28368] 2 [-16:180:1]&[16:156:1]
120640ci (1 curve)	0	2- 5+ 13- 29-	2-  1 5+ -3  4 13- -3  1
Curve Equation t 120640ci1 [0,1,0,-13371,590579] 1
120640cj (1 curve)	0	2- 5+ 13- 29-	2- -1 5+  3 -4 13- -3 -1
Curve Equation t 120640cj1 [0,-1,0,-13371,-590579] 1
120640ck (2 curves)	0	2- 5+ 13- 29-	2-  2 5+  0  2 13- -6  2
Curve Equation t 120640ck1 [0,-1,0,-741,3605] 2 120640ck2 [0,-1,0,2639,24561] 2
120640cl (2 curves)	2	2- 5+ 13- 29-	2- -2 5+  0  2 13-  2 -6
Curve Equation t Generators 120640cl1 [0,1,0,-5701,-153285] 2 [-49:104:1]&[-34:49:1] 120640cl2 [0,1,0,6799,-720785] 2 [67:200:1]&[117:1300:1]
120640cm (2 curves)	1	2- 5- 13+ 29+	2-  2 5-  0 -2 13+  4  2
Curve Equation t Generators 120640cm1 [0,-1,0,-32605,2276925] 2 [-105:41860:27] 120640cm2 [0,-1,0,-33905,2086865] 2 [-58128:14043133:9261]
120640cn (2 curves)	1	2- 5- 13+ 29+	2- -2 5-  0  6 13+  4 -6
Curve Equation t Generators 120640cn1 [0,1,0,-2785,47775] 2 [-25:320:1] 120640cn2 [0,1,0,-12065,-466337] 2 [-54:175:1]
120640co (2 curves)	1	2- 5- 13+ 29+	2- -2 5-  0 -6 13+ -8  6
Curve Equation t Generators 120640co1 [0,1,0,-125,-77] 2 [-9:20:1] 120640co2 [0,1,0,-1425,-21137] 2 [-22:7:1]
120640cp (2 curves)	2	2- 5- 13+ 29-	2-  0 5-  0 -6 13+  6 -2
Curve Equation t Generators 120640cp1 [0,0,0,-472,3864] 2 [-22:60:1]&[-15:87:1] 120640cp2 [0,0,0,-1052,-7504] 2 [-19:75:1]&[-8:20:1]
120640cq (2 curves)	0	2- 5- 13+ 29-	2-  2 5-  0  4 13+  4 -4
Curve Equation t 120640cq1 [0,-1,0,-736685,-241592083] 2 120640cq2 [0,-1,0,-1224465,118682225] 2
120640cr (2 curves)	0	2- 5- 13+ 29-	2- -2 5-  4  0 13+  0 -8
Curve Equation t 120640cr1 [0,1,0,-1165,-15645] 2 120640cr2 [0,1,0,-1745,943] 2
120640cs (1 curve)	0	2- 5- 13+ 29-	2-  3 5-  1  4 13+  5 -3
Curve Equation t 120640cs1 [0,0,0,-142,614] 1
120640ct (1 curve)	0	2- 5- 13+ 29-	2- -3 5- -1 -4 13+  5  3
Curve Equation t 120640ct1 [0,0,0,-142,-614] 1
120640cu (4 curves)	0	2- 5- 13- 29+	2-  0 5-  0  4 13-  6  4
Curve Equation t 120640cu1 [0,0,0,-9225932,-10783890544] 2 120640cu2 [0,0,0,-10302412,-8110344816] 4 120640cu3 [0,0,0,30473908,-56405818224] 2 120640cu4 [0,0,0,-68302412,211292055184] 2
120640cv (1 curve)	2	2- 5- 13- 29+	2-  1 5- -3 -4 13- -1  3
Curve Equation t Generators 120640cv1 [0,1,0,-1645,-22007] 1 [-24:65:1]&[96:845:1]
120640cw (1 curve)	0	2- 5- 13- 29+	2- -3 5-  3  4 13- -3 -5
Curve Equation t 120640cw1 [0,0,0,-380992,90468064] 1
120640cx (2 curves)	1	2- 5- 13- 29-	2-  0 5-  2  2 13- -2  6
Curve Equation t Generators 120640cx1 [0,0,0,-9712,-349416] 2 [-62:120:1] 120640cx2 [0,0,0,7108,-1432624] 2 [157:1885:1]
120640cy (2 curves)	1	2- 5- 13- 29-	2-  0 5-  2  2 13- -2  6
Curve Equation t Generators 120640cy1 [0,0,0,-5516332,4986803664] 2 [695560:48399:512] 120640cy2 [0,0,0,-5434412,5142091216] 2 [1452:17680:1]
120640cz (1 curve)	1	2- 5- 13- 29-	2-  1 5- -3  0 13- -3  1
Curve Equation t Generators 120640cz1 [0,1,0,-85,115] 1 [-6:107:8]
120640da (1 curve)	1	2- 5- 13- 29-	2- -1 5- -1  0 13-  5  7
Curve Equation t Generators 120640da1 [0,-1,0,-8845,323147] 1 [6830:11:125]
120640db (2 curves)	1	2- 5- 13- 29-	2-  2 5-  0  2 13-  6  2
Curve Equation t Generators 120640db1 [0,-1,0,580,-17518] 2 [11454:86275:216] 120640db2 [0,-1,0,-7545,-227143] 2 [224:3045:1]
120640dc (2 curves)	1	2- 5- 13- 29-	2-  2 5-  0  2 13- -6  2
Curve Equation t Generators 120640dc1 [0,-1,0,-1822145,-946114975] 2 [4608551880:-508872107305:373248] 120640dc2 [0,-1,0,-1821825,-946464223] 2 [1220031:19137680:729]
120640dd (2 curves)	1	2- 5- 13- 29-	2-  2 5-  4 -2 13-  2 -2
Curve Equation t Generators 120640dd1 [0,-1,0,324220,-596831950] 2 [31478070:997338797:27000] 120640dd2 [0,-1,0,-8958105,-9881013415] 2 [5096:277095:1]
120640de (2 curves)	1	2- 5- 13- 29-	2-  2 5- -4  6 13-  2 -2
Curve Equation t Generators 120640de1 [0,-1,0,-61210305,-184303619743] 2 [187442144738867499975821500115514:5527433106524925031694072150027863:19873074904595303194039619592] 120640de2 [0,-1,0,-59899585,-192575049375] 2 [101946860543093955:16344727924722264980:3630252488409]
120640df (2 curves)	1	2- 5- 13- 29-	2- -2 5-  0 -2 13-  6 -2
Curve Equation t Generators 120640df1 [0,1,0,580,17518] 2 [241:3770:1] 120640df2 [0,1,0,-7545,227143] 2 [-79:580:1]
120640dg (2 curves)	1	2- 5- 13- 29-	2- -2 5- -4  2 13-  2  2
Curve Equation t Generators 120640dg1 [0,1,0,324220,596831950] 2 [-455:18850:1] 120640dg2 [0,1,0,-8958105,9881013415] 2 [1313:19604:1]
120640dh (1 curve)	1	2- 5- 13- 29-	2- -3 5- -4 -4 13-  7  3
Curve Equation t Generators 120640dh1 [0,0,0,-172,1744] 1 [10:32:1]

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

Part of Computational Number Theory
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