Cremona's table of elliptic curves

13950 = 2 · 3² · 5² · 31

Class	r	Atkin-Lehner	Eigenvalues
13950a (1 curve)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  0  2 -6  7 -4
Curve Equation t Generators 13950a1 [1,-1,0,-262617,51874541] 1 [298:-41:1]
13950b (2 curves)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  0 -2  6  2 -4
Curve Equation t Generators 13950b1 [1,-1,0,-391917,98520741] 2 [49:8888:1] 13950b2 [1,-1,0,-6343917,6151704741] 2 [1585:7959:1]
13950c (1 curve)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  0  3  1 -3  1
Curve Equation t Generators 13950c1 [1,-1,0,-42,-6634] 1 [133:1459:1]
13950d (2 curves)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  0 -4 -6  4  8
Curve Equation t Generators 13950d1 [1,-1,0,-26684817,31051125341] 2 [38671348654:1598021125673:6967871] 13950d2 [1,-1,0,83907183,222043509341] 2 [88252483086379:105351118392245873:207579844961]
13950e (1 curve)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  3 -5  0  2 -1
Curve Equation t Generators 13950e1 [1,-1,0,-42,1116] 1 [9:33:1]
13950f (2 curves)	1	2+ 3+ 5+ 31+	2+ 3+ 5+ -4  4 -2  0  0
Curve Equation t Generators 13950f1 [1,-1,0,-192,716] 2 [-11:43:1] 13950f2 [1,-1,0,558,4466] 2 [-1:63:1]
13950g (1 curve)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  5  1  4 -6  3
Curve Equation t Generators 13950g1 [1,-1,0,-477192,-142698784] 1 [42074587:272248894:50653]
13950h (2 curves)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  1  3  4  6 -1
Curve Equation t 13950h1 [1,-1,0,-17817,1079341] 1 13950h2 [1,-1,0,126183,-6488659] 1
13950i (2 curves)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  4 -3 -5  3 -7
Curve Equation t 13950i1 [1,-1,0,1158,27316] 1 13950i2 [1,-1,0,-10842,-928684] 1
13950j (1 curve)	0	2+ 3+ 5- 31+	2+ 3+ 5-  0 -2  6  7 -4
Curve Equation t 13950j1 [1,-1,0,-1167,-15059] 1
13950k (2 curves)	1	2+ 3+ 5- 31-	2+ 3+ 5-  2  4 -2 -6  4
Curve Equation t Generators 13950k1 [1,-1,0,-5577,161981] 2 [38:43:1] 13950k2 [1,-1,0,-89277,10289681] 2 [139:673:1]
13950l (2 curves)	1	2+ 3+ 5- 31-	2+ 3+ 5- -2 -4  2 -6  4
Curve Equation t Generators 13950l1 [1,-1,0,-15492,-739584] 2 [268:3648:1] 13950l2 [1,-1,0,-247992,-47472084] 2 [643:7334:1]
13950m (4 curves)	0	2+ 3- 5+ 31+	2+ 3- 5+  0  4 -6  2 -4
Curve Equation t 13950m1 [1,-1,0,-24417,1311741] 2 13950m2 [1,-1,0,-96417,-10136259] 4 13950m3 [1,-1,0,-1491417,-700661259] 2 13950m4 [1,-1,0,146583,-53147259] 2
13950n (1 curve)	0	2+ 3- 5+ 31+	2+ 3- 5+ -1 -5 -2 -4  1
Curve Equation t 13950n1 [1,-1,0,-2340168417,-45152893312259] 1
13950o (2 curves)	0	2+ 3- 5+ 31+	2+ 3- 5+  2  4  4  2 -8
Curve Equation t 13950o1 [1,-1,0,105183,4937341] 2 13950o2 [1,-1,0,-452817,41207341] 2
13950p (1 curve)	0	2+ 3- 5+ 31+	2+ 3- 5+  2 -5  7 -1  7
Curve Equation t 13950p1 [1,-1,0,-3717,89941] 1
13950q (1 curve)	0	2+ 3- 5+ 31+	2+ 3- 5+ -3 -3  2  8 -7
Curve Equation t 13950q1 [1,-1,0,21933,-691659] 1
13950r (4 curves)	0	2+ 3- 5+ 31+	2+ 3- 5+ -4  4 -2  2  4
Curve Equation t 13950r1 [1,-1,0,-54792,-4922384] 2 13950r2 [1,-1,0,-59292,-4062884] 4 13950r3 [1,-1,0,-340542,73280866] 2 13950r4 [1,-1,0,149958,-26452634] 2
13950s (1 curve)	0	2+ 3- 5+ 31+	2+ 3- 5+  5 -5  7  6 -6
Curve Equation t 13950s1 [1,-1,0,-31992,2436416] 1
13950t (2 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+  1  3 -2  0  5
Curve Equation t Generators 13950t1 [1,-1,0,558,73966] 1 [29:323:1] 13950t2 [1,-1,0,-117567,15548341] 1 [29:3473:1]
13950u (2 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+  1 -3 -5  0 -4
Curve Equation t Generators 13950u1 [1,-1,0,-207,-2939] 1 [53:338:1] 13950u2 [1,-1,0,1818,69556] 1 [35:401:1]
13950v (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+  1 -5  1  0  0
Curve Equation t Generators 13950v1 [1,-1,0,-5697,166941] 1 [45:-9:1]
13950w (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+ -1  1  1  6  0
Curve Equation t Generators 13950w1 [1,-1,0,108,-464] 1 [5:11:1]
13950x (2 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+ -2 -2  4 -3  0
Curve Equation t Generators 13950x1 [1,-1,0,-45027,-3711339] 1 [50670:808713:125] 13950x2 [1,-1,0,281133,139049541] 1 [378:17109:1]
13950y (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+ -2 -3 -3  1  7
Curve Equation t Generators 13950y1 [1,-1,0,-18792,1132866] 1 [-135:1161:1]
13950z (2 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+ -2  4  4 -6  0
Curve Equation t Generators 13950z1 [1,-1,0,503433,-608650659] 2 [3189:181218:1] 13950z2 [1,-1,0,-8424567,-8777770659] 2 [-1941:17058:1]
13950ba (2 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+  3  3 -1  2  0
Curve Equation t Generators 13950ba1 [1,-1,0,-12852,-1683504] 1 [26955:280674:125] 13950ba2 [1,-1,0,-534492,238021416] 1 [135:12906:1]
13950bb (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+  3 -3  2 -4 -3
Curve Equation t Generators 13950bb1 [1,-1,0,-45792,4271616] 1 [-141:2883:1]
13950bc (2 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+  4 -2 -2  0  0
Curve Equation t Generators 13950bc1 [1,-1,0,558,-26784] 2 [34:158:1] 13950bc2 [1,-1,0,-10692,-398034] 2 [-51:138:1]
13950bd (2 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+ -4 -2 -2  0  0
Curve Equation t Generators 13950bd1 [1,-1,0,-3070692,-2073316784] 2 [36294337:-3040182356:4913] 13950bd2 [1,-1,0,-49150692,-132617956784] 2 [29549:4906088:1]
13950be (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5-  0  1  0  1 -7
Curve Equation t Generators 13950be1 [1,-1,0,-6867,-608459] 1 [35895:555382:125]
13950bf (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5-  1  3  1  0 -6
Curve Equation t Generators 13950bf1 [1,-1,0,209133,13647541] 1 [713:22553:1]
13950bg (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5-  1  3 -4  0 -1
Curve Equation t Generators 13950bg1 [1,-1,0,124758,-31898084] 1 [69167:375479:343]
13950bh (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5-  2 -2  4 -1  4
Curve Equation t Generators 13950bh1 [1,-1,0,1008,124416] 1 [144:1728:1]
13950bi (2 curves)	1	2+ 3- 5- 31+	2+ 3- 5-  2  6 -2 -6  8
Curve Equation t Generators 13950bi1 [1,-1,0,-2831742,1947512916] 2 [948:10218:1] 13950bi2 [1,-1,0,-46076742,120395567916] 2 [-7431:232653:1]
13950bj (2 curves)	1	2+ 3- 5- 31+	2+ 3- 5- -2  0  2  0 -4
Curve Equation t Generators 13950bj1 [1,-1,0,-207,301] 2 [-10:41:1] 13950bj2 [1,-1,0,-2007,-33899] 2 [-25:26:1]
13950bk (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5- -3  1  3  4 -2
Curve Equation t Generators 13950bk1 [1,-1,0,-2367,-47709] 1 [69:303:1]
13950bl (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5- -3 -5 -3  4  2
Curve Equation t Generators 13950bl1 [1,-1,0,783,10741] 1 [5:119:1]
13950bm (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5-  5  1 -5 -4 -2
Curve Equation t Generators 13950bm1 [1,-1,0,-454338117,3727606931541] 1 [14919:511953:1]
13950bn (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5- -5  1  0 -4  3
Curve Equation t Generators 13950bn1 [1,-1,0,10008,6894666] 1 [69:2778:1]
13950bo (1 curve)	0	2+ 3- 5- 31-	2+ 3- 5-  1  5 -4  0 -5
Curve Equation t 13950bo1 [1,-1,0,-972,-11664] 1
13950bp (2 curves)	0	2+ 3- 5- 31-	2+ 3- 5- -2  2  2  6 -8
Curve Equation t 13950bp1 [1,-1,0,-159867,599453541] 2 13950bp2 [1,-1,0,-11679867,15218333541] 2
13950bq (2 curves)	0	2- 3+ 5+ 31+	2- 3+ 5+  0  2  6 -2 -4
Curve Equation t 13950bq1 [1,-1,1,-3527255,-2656532753] 2 13950bq2 [1,-1,1,-57095255,-166038932753] 2
13950br (1 curve)	0	2- 3+ 5+ 31+	2- 3+ 5+  0 -2 -6 -7 -4
Curve Equation t 13950br1 [1,-1,1,-29180,-1911553] 1
13950bs (1 curve)	0	2- 3+ 5+ 31+	2- 3+ 5+  0 -3  1  3  1
Curve Equation t 13950bs1 [1,-1,1,-5,247] 1
13950bt (2 curves)	0	2- 3+ 5+ 31+	2- 3+ 5+  0  4 -6 -4  8
Curve Equation t 13950bt1 [1,-1,1,-2964980,-1149053353] 2 13950bt2 [1,-1,1,9323020,-8226941353] 2
13950bu (1 curve)	0	2- 3+ 5+ 31+	2- 3+ 5+  3  5  0 -2 -1
Curve Equation t 13950bu1 [1,-1,1,-380,-29753] 1
13950bv (2 curves)	0	2- 3+ 5+ 31+	2- 3+ 5+ -4 -4 -2  0  0
Curve Equation t 13950bv1 [1,-1,1,-1730,-17603] 2 13950bv2 [1,-1,1,5020,-125603] 2
13950bw (1 curve)	0	2- 3+ 5+ 31+	2- 3+ 5+  5 -1  4  6  3
Curve Equation t 13950bw1 [1,-1,1,-4294730,3857161897] 1
13950bx (2 curves)	1	2- 3+ 5+ 31-	2- 3+ 5+  1 -3  4 -6 -1
Curve Equation t Generators 13950bx1 [1,-1,1,14020,235647] 1 [809:22845:1] 13950bx2 [1,-1,1,-160355,-28981853] 1 [859:21170:1]
13950by (2 curves)	1	2- 3+ 5+ 31-	2- 3+ 5+  4  3 -5 -3 -7
Curve Equation t Generators 13950by1 [1,-1,1,-1205,34797] 1 [35:-204:1] 13950by2 [1,-1,1,10420,-747953] 1 [85:821:1]
13950bz (1 curve)	1	2- 3+ 5- 31+	2- 3+ 5-  0  2  6 -7 -4
Curve Equation t Generators 13950bz1 [1,-1,1,-10505,417097] 1 [49:110:1]
13950ca (2 curves)	0	2- 3+ 5- 31-	2- 3+ 5-  2 -4 -2  6  4
Curve Equation t 13950ca1 [1,-1,1,-620,-5793] 2 13950ca2 [1,-1,1,-9920,-377793] 2
13950cb (2 curves)	0	2- 3+ 5- 31-	2- 3+ 5- -2  4  2  6  4
Curve Equation t 13950cb1 [1,-1,1,-139430,20108197] 2 13950cb2 [1,-1,1,-2231930,1283978197] 2
13950cc (4 curves)	1	2- 3- 5+ 31+	2- 3- 5+  0  0 -2 -6  4
Curve Equation t Generators 13950cc1 [1,-1,1,-155,-3653] 2 [29:110:1] 13950cc2 [1,-1,1,-4655,-120653] 4 [119:940:1] 13950cc3 [1,-1,1,-74405,-7793153] 2 [3742:59875:8] 13950cc4 [1,-1,1,-6905,9847] 2 [7796:58945:64]
13950cd (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+  0  1  0 -1 -7
Curve Equation t Generators 13950cd1 [1,-1,1,-275,-4813] 1 [43:226:1]
13950ce (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+  0 -2  0  2 -4
Curve Equation t Generators 13950ce1 [1,-1,1,-14855,723647] 2 [39:430:1] 13950ce2 [1,-1,1,-239855,45273647] 2 [213:1846:1]
13950cf (6 curves)	1	2- 3- 5+ 31+	2- 3- 5+  0  4 -6  2  4
Curve Equation t Generators 13950cf1 [1,-1,1,13495,3415497] 2 [39:1980:1] 13950cf2 [1,-1,1,-274505,52375497] 4 [-385:10236:1] 13950cf3 [1,-1,1,-832505,-227740503] 2 [-535:8286:1] 13950cf4 [1,-1,1,-4324505,3462475497] 4 [-151:64200:1] 13950cf5 [1,-1,1,-69192005,221547010497] 4 [5615:97398:1] 13950cf6 [1,-1,1,-4257005,3575740497] 2 [-141:64670:1]
13950cg (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+ -1  3 -1  0 -6
Curve Equation t Generators 13950cg1 [1,-1,1,8365,107507] 1 [123:-1790:1]
13950ch (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+  2  0 -4  6  0
Curve Equation t Generators 13950ch1 [1,-1,1,-9230,352397] 2 [39:205:1] 13950ch2 [1,-1,1,-148730,22114397] 2 [129:2185:1]
13950ci (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+ -2 -2 -4  1  4
Curve Equation t Generators 13950ci1 [1,-1,1,40,987] 1 [5:33:1]
13950cj (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+  3  1 -3 -4 -2
Curve Equation t Generators 13950cj1 [1,-1,1,-95,-363] 1 [94:3:8]
13950ck (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+  3 -5  3 -4  2
Curve Equation t Generators 13950ck1 [1,-1,1,19570,1362197] 1 [-57:271:1]
13950cl (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+ -3 -5  6 -4  5
Curve Equation t Generators 13950cl1 [1,-1,1,-5186480,-4568634853] 1 [9012729:688071095:1331]
13950cm (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+ -5  1  5  4 -2
Curve Equation t Generators 13950cm1 [1,-1,1,-18173525,29824490157] 1 [2255:16368:1]
13950cn (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+  0  6  2 -4  0
Curve Equation t 13950cn1 [1,-1,1,8770,-79603] 2 13950cn2 [1,-1,1,-36230,-619603] 2
13950co (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+  2  3  1  3 -5
Curve Equation t 13950co1 [1,-1,1,3370,-27003] 1 13950co2 [1,-1,1,-313880,67796997] 1
13950cp (4 curves)	0	2- 3- 5+ 31-	2- 3- 5+ -2  0  4  6  8
Curve Equation t 13950cp1 [1,-1,1,312520,75369147] 2 13950cp2 [1,-1,1,-1919480,736041147] 2 13950cp3 [1,-1,1,-8921480,10320249147] 2 13950cp4 [1,-1,1,-142980980,658095753147] 2
13950cq (4 curves)	0	2- 3- 5+ 31-	2- 3- 5+  4  0  4  0 -4
Curve Equation t 13950cq1 [1,-1,1,-23855,-1441353] 2 13950cq2 [1,-1,1,-383855,-91441353] 2 13950cq3 [1,-1,1,102145,-6229353] 2 13950cq4 [1,-1,1,-460355,-52354353] 2
13950cr (1 curve)	0	2- 3- 5- 31+	2- 3- 5- -1  3  4  0 -1
Curve Equation t 13950cr1 [1,-1,1,4990,-256183] 1
13950cs (2 curves)	0	2- 3- 5- 31+	2- 3- 5-  2  0 -2  0 -4
Curve Equation t 13950cs1 [1,-1,1,-5180,32447] 2 13950cs2 [1,-1,1,-50180,-4287553] 2
13950ct (2 curves)	0	2- 3- 5- 31+	2- 3- 5- -2  6  2  6  8
Curve Equation t 13950ct1 [1,-1,1,-113270,15602757] 2 13950ct2 [1,-1,1,-1843070,963533157] 2
13950cu (1 curve)	0	2- 3- 5- 31+	2- 3- 5-  5  1  0  4  3
Curve Equation t 13950cu1 [1,-1,1,400,55077] 1
13950cv (1 curve)	2	2- 3- 5- 31+	2- 3- 5- -5 -5 -7 -6 -6
Curve Equation t Generators 13950cv1 [1,-1,1,-1280,19747] 1 [349:-6655:1]&[847:43595:343]
13950cw (1 curve)	1	2- 3- 5- 31-	2- 3- 5-  1  1 -1 -6  0
Curve Equation t Generators 13950cw1 [1,-1,1,2695,-55303] 1 [69:640:1]
13950cx (2 curves)	1	2- 3- 5- 31-	2- 3- 5- -1 -3  5  0 -4
Curve Equation t Generators 13950cx1 [1,-1,1,-5180,-372553] 1 [183:2095:1] 13950cx2 [1,-1,1,45445,8739947] 3 [-105:1726:1]
13950cy (1 curve)	1	2- 3- 5- 31-	2- 3- 5- -1  5  4  0 -5
Curve Equation t Generators 13950cy1 [1,-1,1,-24305,-1482303] 1 [269:3240:1]
13950cz (1 curve)	1	2- 3- 5- 31-	2- 3- 5- -1 -5 -1  0  0
Curve Equation t Generators 13950cz1 [1,-1,1,-142430,20725197] 1 [269:1215:1]
13950da (2 curves)	1	2- 3- 5- 31-	2- 3- 5-  2  2 -2 -6 -8
Curve Equation t Generators 13950da1 [1,-1,1,-6395,4796907] 2 [-37:2250:1] 13950da2 [1,-1,1,-467195,121840107] 2 [-265:15198:1]
13950db (2 curves)	1	2- 3- 5- 31-	2- 3- 5-  2 -2 -4  3  0
Curve Equation t Generators 13950db1 [1,-1,1,11245,1110147] 1 [1229:-43860:1] 13950db2 [1,-1,1,-1125680,-465043053] 1 [1469:31665:1]
13950dc (2 curves)	1	2- 3- 5- 31-	2- 3- 5- -3  3  1 -2  0
Curve Equation t Generators 13950dc1 [1,-1,1,-21380,1908447] 1 [83:795:1] 13950dc2 [1,-1,1,-321305,-210759303] 1 [1223:34380:1]

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