Cremona's table of elliptic curves

127400 = 2³ · 5² · 7² · 13

Class	r	Atkin-Lehner	Eigenvalues
127400a (1 curve)	1	2+ 5+ 7+ 13+	2+  0 5+ 7+ -4 13+ -6 -7
Curve Equation t Generators 127400a1 [0,0,0,-1715,72030] 1 [-49:196:1]
127400b (1 curve)	1	2+ 5+ 7+ 13+	2+  1 5+ 7+  5 13+ -3 -5
Curve Equation t Generators 127400b1 [0,1,0,-20008,-795887] 1 [-918:377:8]
127400c (1 curve)	0	2+ 5+ 7- 13+	2+  1 5+ 7- -2 13+ -3  2
Curve Equation t 127400c1 [0,1,0,-20008,1133488] 1
127400d (2 curves)	0	2+ 5+ 7- 13+	2+  2 5+ 7-  0 13+ -8  2
Curve Equation t 127400d1 [0,-1,0,-49408,-1981188] 2 127400d2 [0,-1,0,-392408,93372812] 2
127400e (1 curve)	0	2+ 5+ 7- 13+	2+  2 5+ 7- -3 13+  0 -8
Curve Equation t 127400e1 [0,-1,0,-417888,-103843123] 1
127400f (1 curve)	0	2+ 5+ 7- 13+	2+ -2 5+ 7-  4 13+ -6 -1
Curve Equation t 127400f1 [0,1,0,-1633,-2204637] 1
127400g (1 curve)	1	2+ 5+ 7- 13-	2+  0 5+ 7-  2 13-  0  7
Curve Equation t Generators 127400g1 [0,0,0,-83300,10118500] 1 [126:-1274:1]
127400h (2 curves)	1	2+ 5+ 7- 13-	2+  0 5+ 7-  2 13-  0 -8
Curve Equation t Generators 127400h1 [0,0,0,-16565675,-25951294250] 2 [-19219572309568722:-2020648712626978:8165528711353] 127400h2 [0,0,0,-16222675,-27077363250] 2 [27602275038075035879713267954:-1117144369313868782942278972854:5027054673925862647817579]
127400i (1 curve)	1	2+ 5+ 7- 13-	2+  0 5+ 7- -4 13-  6  7
Curve Equation t Generators 127400i1 [0,0,0,-35,-210] 1 [71:596:1]
127400j (1 curve)	1	2+ 5+ 7- 13-	2+  1 5+ 7-  4 13- -6  6
Curve Equation t Generators 127400j1 [0,1,0,-15353,-736597] 1 [-73:22:1]
127400k (1 curve)	1	2+ 5+ 7- 13-	2+ -1 5+ 7-  5 13-  3  5
Curve Equation t Generators 127400k1 [0,-1,0,-408,2437] 1 [6:13:1]
127400l (2 curves)	1	2+ 5+ 7- 13-	2+  2 5+ 7-  2 13-  2 -2
Curve Equation t Generators 127400l1 [0,-1,0,-24908,1497812] 2 [397:7350:1] 127400l2 [0,-1,0,-408,4290812] 2 [-134:16575:8]
127400m (1 curve)	1	2+ 5+ 7- 13-	2+  2 5+ 7-  3 13-  3 -4
Curve Equation t Generators 127400m1 [0,-1,0,-408,10172] 1 [3130:15324:125]
127400n (2 curves)	1	2+ 5+ 7- 13-	2+ -2 5+ 7- -2 13- -6 -6
Curve Equation t Generators 127400n1 [0,1,0,-12666908,6776598688] 2 [10663:1041250:1] 127400n2 [0,1,0,46157592,51953814688] 2 [28794:4116125:8]
127400o (1 curve)	1	2+ 5+ 7- 13-	2+ -2 5+ 7- -3 13-  0  8
Curve Equation t Generators 127400o1 [0,1,0,-8528,300313] 1 [52:-13:1]
127400p (1 curve)	1	2+ 5+ 7- 13-	2+  3 5+ 7-  5 13- -3 -5
Curve Equation t Generators 127400p1 [0,0,0,888125,1451318750] 1 [205629676983975552798:14512478032681365189817:296023491175723128]
127400q (1 curve)	1	2+ 5- 7- 13+	2+  0 5- 7- -1 13+  2 -4
Curve Equation t Generators 127400q1 [0,0,0,-875,-30625] 1 [175:2275:1]
127400r (2 curves)	1	2+ 5- 7- 13+	2+  0 5- 7- -4 13+  2 -2
Curve Equation t Generators 127400r1 [0,0,0,-12250,3215625] 2 [-84:1911:1] 127400r2 [0,0,0,-410375,100756250] 2 [791:16464:1]
127400s (1 curve)	1	2+ 5- 7- 13+	2+  1 5- 7- -2 13+  2 -8
Curve Equation t Generators 127400s1 [0,1,0,-1633,-9437] 1 [-33:98:1]
127400t (2 curves)	1	2+ 5- 7- 13+	2+  2 5- 7-  0 13+  0  0
Curve Equation t Generators 127400t1 [0,-1,0,-1284208,560264412] 2 [1460310:31193792:3375] 127400t2 [0,-1,0,-1039208,780274412] 2 [54884641215:-1611639768088:82312875]
127400u (1 curve)	1	2+ 5- 7- 13+	2+ -2 5- 7-  1 13+  5  4
Curve Equation t Generators 127400u1 [0,1,0,332792,187157088] 1 [-6886988:14011044508:1030301]
127400v (2 curves)	1	2+ 5- 7- 13+	2+ -2 5- 7- -6 13+ -6  4
Curve Equation t Generators 127400v1 [0,1,0,-83708,369088] 2 [-96:2744:1] 127400v2 [0,1,0,-941208,350229088] 2 [-292:24500:1]
127400w (1 curve)	0	2+ 5- 7- 13-	2+  0 5- 7- -1 13- -2  4
Curve Equation t 127400w1 [0,0,0,-42875,10504375] 1
127400x (2 curves)	0	2+ 5- 7- 13-	2+  0 5- 7- -2 13-  4  2
Curve Equation t 127400x1 [0,0,0,-42875,2143750] 2 127400x2 [0,0,0,-287875,-57881250] 2
127400y (1 curve)	0	2+ 5- 7- 13-	2+  0 5- 7- -3 13-  0  2
Curve Equation t 127400y1 [0,0,0,-19726175,93130922675] 1
127400z (1 curve)	2	2+ 5- 7- 13-	2+ -2 5- 7-  3 13- -6 -6
Curve Equation t Generators 127400z1 [0,1,0,-408,56713] 1 [-32:195:1]&[-12:245:1]
127400ba (1 curve)	2	2+ 5- 7- 13-	2+ -3 5- 7- -2 13- -2 -4
Curve Equation t Generators 127400ba1 [0,0,0,-122500,-14577500] 1 [-250:650:1]&[-224:1274:1]
127400bb (1 curve)	1	2- 5+ 7+ 13-	2-  1 5+ 7+ -1 13-  5 -3
Curve Equation t Generators 127400bb1 [0,1,0,-88608,-2819587] 1 [-278:637:1]
127400bc (1 curve)	1	2- 5+ 7+ 13-	2-  1 5+ 7+ -3 13- -7 -1
Curve Equation t Generators 127400bc1 [0,1,0,-54308,4795013] 1 [122:13:1]
127400bd (4 curves)	1	2- 5+ 7- 13+	2-  0 5+ 7-  0 13+  6 -4
Curve Equation t Generators 127400bd1 [0,0,0,26950,986125] 2 [5590:418125:1] 127400bd2 [0,0,0,-126175,8489250] 4 [-371:2058:1] 127400bd3 [0,0,0,-983675,-369668250] 2 [-621:1308:1] 127400bd4 [0,0,0,-1718675,866846750] 2 [22379:3342192:1]
127400be (1 curve)	1	2- 5+ 7- 13+	2-  0 5+ 7- -1 13+  2  4
Curve Equation t Generators 127400be1 [0,0,0,-1715,84035] 1 [49:343:1]
127400bf (2 curves)	1	2- 5+ 7- 13+	2-  0 5+ 7- -2 13+ -4 -4
Curve Equation t Generators 127400bf1 [0,0,0,-3365075,117734750] 2 [-5:11600:1] 127400bf2 [0,0,0,13441925,941277750] 2 [84030:24381750:1]
127400bg (1 curve)	1	2- 5+ 7- 13+	2-  0 5+ 7- -3 13+  0  2
Curve Equation t Generators 127400bg1 [0,0,0,-493154375,11641365334375] 1 [3176410671:570409764547:205379]
127400bh (4 curves)	1	2- 5+ 7- 13+	2-  0 5+ 7- -4 13+ -6 -4
Curve Equation t Generators 127400bh1 [0,0,0,-28175,-1800750] 2 [-91:98:1] 127400bh2 [0,0,0,-52675,1800750] 4 [259:2352:1] 127400bh3 [0,0,0,192325,13805750] 2 [322:37191:8] 127400bh4 [0,0,0,-689675,220291750] 2 [15170:605625:8]
127400bi (1 curve)	1	2- 5+ 7- 13+	2- -1 5+ 7- -1 13+ -5  3
Curve Equation t Generators 127400bi1 [0,-1,0,-1808,8737] 1 [-12:169:1]
127400bj (1 curve)	1	2- 5+ 7- 13+	2- -1 5+ 7-  3 13+  4 -2
Curve Equation t Generators 127400bj1 [0,-1,0,-10208,978412] 1 [537:12250:1]
127400bk (1 curve)	1	2- 5+ 7- 13+	2- -1 5+ 7- -3 13+ -6  6
Curve Equation t Generators 127400bk1 [0,-1,0,-1029408,457736812] 1 [4506:60025:8]
127400bl (1 curve)	1	2- 5+ 7- 13+	2- -1 5+ 7- -3 13+  7  1
Curve Equation t Generators 127400bl1 [0,-1,0,-1108,-13663] 1 [-19:13:1]
127400bm (1 curve)	1	2- 5+ 7- 13+	2- -1 5+ 7-  5 13+ -2  6
Curve Equation t Generators 127400bm1 [0,-1,0,-28685008,-62043879988] 1 [1288427225628818:125951851287689525:104753546344]
127400bn (1 curve)	1	2- 5+ 7- 13+	2-  2 5+ 7-  0 13+ -2 -5
Curve Equation t Generators 127400bn1 [0,-1,0,1311567,-380220763] 1 [2049588778716743:210151249282738134:197239002661]
127400bo (2 curves)	1	2- 5+ 7- 13+	2-  2 5+ 7- -2 13+  6  6
Curve Equation t Generators 127400bo1 [0,-1,0,-4405508,-3553608988] 2 [107400988:4931949666:29791] 127400bo2 [0,-1,0,-3205008,-5534433988] 2 [19924280965307346:937597591087264772:5604655813947]
127400bp (1 curve)	1	2- 5+ 7- 13+	2-  2 5+ 7-  3 13+  6 -6
Curve Equation t Generators 127400bp1 [0,-1,0,-10208,7109537] 1 [5952:106379:27]
127400bq (2 curves)	1	2- 5+ 7- 13+	2-  2 5+ 7- -4 13+  4 -6
Curve Equation t Generators 127400bq1 [0,-1,0,-686408,218322812] 2 [-938:6000:1] 127400bq2 [0,-1,0,-1029408,-22463188] 2 [113657:38315550:1]
127400br (2 curves)	1	2- 5+ 7- 13+	2-  2 5+ 7-  6 13+ -2 -2
Curve Equation t Generators 127400br1 [0,-1,0,-583508,-158496988] 2 [5051156:304297938:1331] 127400br2 [0,-1,0,616992,-727533988] 2 [97899971598:6073684259804:26198073]
127400bs (1 curve)	1	2- 5+ 7- 13+	2-  3 5+ 7- -2 13+  2 -4
Curve Equation t Generators 127400bs1 [0,0,0,-4900,-116620] 1 [-10794:12691:216]
127400bt (1 curve)	1	2- 5+ 7- 13+	2- -3 5+ 7-  5 13+  8  4
Curve Equation t Generators 127400bt1 [0,0,0,10325,-208250] 1 [210:2275:8]
127400bu (1 curve)	2	2- 5+ 7- 13-	2-  0 5+ 7- -1 13- -2 -4
Curve Equation t Generators 127400bu1 [0,0,0,-35,-245] 1 [9:13:1]&[21:91:1]
127400bv (1 curve)	0	2- 5+ 7- 13-	2- -1 5+ 7- -2 13- -2 -8
Curve Equation t 127400bv1 [0,-1,0,-40833,-1097963] 1
127400bw (1 curve)	0	2- 5+ 7- 13-	2-  2 5+ 7-  1 13- -5  4
Curve Equation t 127400bw1 [0,-1,0,13312,1491932] 1
127400bx (1 curve)	0	2- 5+ 7- 13-	2-  3 5+ 7-  5 13- -8 -4
Curve Equation t 127400bx1 [0,0,0,505925,71429750] 1
127400by (1 curve)	0	2- 5- 7+ 13-	2-  0 5- 7+ -4 13-  6 -7
Curve Equation t 127400by1 [0,0,0,-42875,9003750] 1
127400bz (2 curves)	2	2- 5- 7- 13+	2-  0 5- 7- -2 13+ -4  2
Curve Equation t Generators 127400bz1 [0,0,0,-1715,17150] 2 [-14:196:1]&[70:490:1] 127400bz2 [0,0,0,-11515,-463050] 2 [-54:36:1]&[126:294:1]
127400ca (1 curve)	0	2- 5- 7- 13+	2-  0 5- 7- -4 13+ -6  7
Curve Equation t 127400ca1 [0,0,0,-875,-26250] 1
127400cb (1 curve)	0	2- 5- 7- 13+	2- -1 5- 7-  4 13+  6  6
Curve Equation t 127400cb1 [0,-1,0,-383833,-91306963] 1
127400cc (1 curve)	0	2- 5- 7- 13+	2-  2 5- 7- -3 13+  0  8
Curve Equation t 127400cc1 [0,-1,0,-213208,37965537] 1
127400cd (1 curve)	0	2- 5- 7- 13+	2- -2 5- 7-  3 13+ -3 -4
Curve Equation t 127400cd1 [0,1,0,-10208,1251088] 1
127400ce (1 curve)	0	2- 5- 7- 13+	2- -3 5- 7-  5 13+  3 -5
Curve Equation t 127400ce1 [0,0,0,35525,11610550] 1
127400cf (2 curves)	1	2- 5- 7- 13-	2-  0 5- 7- -4 13- -2 -2
Curve Equation t Generators 127400cf1 [0,0,0,-490,25725] 2 [14:147:1] 127400cf2 [0,0,0,-16415,806050] 2 [21:686:1]
127400cg (2 curves)	1	2- 5- 7- 13-	2-  2 5- 7- -6 13-  6  4
Curve Equation t Generators 127400cg1 [0,-1,0,-3348,4292] 2 [68:294:1] 127400cg2 [0,-1,0,-37648,2816892] 2 [702:17940:1]
127400ch (2 curves)	1	2- 5- 7- 13-	2- -2 5- 7-  0 13-  0  0
Curve Equation t Generators 127400ch1 [0,1,0,-51368,4461568] 2 [352:5488:1] 127400ch2 [0,1,0,-41568,6225568] 2 [3:2470:1]
127400ci (1 curve)	1	2- 5- 7- 13-	2- -2 5- 7- -3 13-  0 -8
Curve Equation t Generators 127400ci1 [0,1,0,-10447208,-13001284787] 1 [4083:111475:1]

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