Cremona's table of elliptic curves

126270 = 2 · 3² · 5 · 23 · 61

Class	r	Atkin-Lehner	Eigenvalues
126270a (4 curves)	0	2+ 3+ 5+ 23+ 61-	2+ 3+ 5+ -4  6  2  6  8
Curve Equation t 126270a1 [1,-1,0,-326265,71812125] 6 126270a2 [1,-1,0,-325965,71950545] 6 126270a3 [1,-1,0,-345480,62893376] 2 126270a4 [1,-1,0,734520,376741376] 2
126270b (1 curve)	1	2+ 3+ 5+ 23- 61-	2+ 3+ 5+ -5  0 -1  0  4
Curve Equation t Generators 126270b1 [1,-1,0,-3390,77940] 1 [33:-51:1]
126270c (1 curve)	0	2+ 3+ 5- 23+ 61+	2+ 3+ 5-  1 -5 -6 -4  1
Curve Equation t 126270c1 [1,-1,0,-240349344,-1386075059200] 1
126270d (1 curve)	1	2+ 3+ 5- 23+ 61-	2+ 3+ 5- -3  5 -2  4 -1
Curve Equation t Generators 126270d1 [1,-1,0,-80799,-7805395] 1 [-119:397:1]
126270e (2 curves)	1	2+ 3+ 5- 23+ 61-	2+ 3+ 5-  4  0  2 -8 -2
Curve Equation t Generators 126270e1 [1,-1,0,-1689,-8227] 2 [-11:100:1] 126270e2 [1,-1,0,-15189,718073] 2 [92:-351:1]
126270f (1 curve)	1	2+ 3+ 5- 23+ 61-	2+ 3+ 5- -5  1 -2  4 -5
Curve Equation t Generators 126270f1 [1,-1,0,-4524,-115120] 1 [-41:34:1]
126270g (1 curve)	2	2+ 3- 5+ 23+ 61+	2+ 3- 5+  1  3 -6 -2 -3
Curve Equation t Generators 126270g1 [1,-1,0,-1665,26325] 1 [-39:195:1]&[15:60:1]
126270h (2 curves)	2	2+ 3- 5+ 23+ 61+	2+ 3- 5+ -2  0  0 -2  0
Curve Equation t Generators 126270h1 [1,-1,0,-1759500,-1625519664] 2 [2205:71091:1]&[3192:157380:1] 126270h2 [1,-1,0,-34084620,-76548682800] 2 [7401:272955:1]&[13981:1469360:1]
126270i (1 curve)	1	2+ 3- 5+ 23+ 61-	2+ 3- 5+ -2  0  3 -5  1
Curve Equation t Generators 126270i1 [1,-1,0,-28305,2747101] 1 [665:16331:1]
126270j (2 curves)	1	2+ 3- 5+ 23- 61+	2+ 3- 5+  0  2  0 -2  0
Curve Equation t Generators 126270j1 [1,-1,0,-195,161] 2 [-5:34:1] 126270j2 [1,-1,0,-2265,41975] 2 [-17:283:1]
126270k (1 curve)	1	2+ 3- 5+ 23- 61+	2+ 3- 5+  1 -1  4  8 -1
Curve Equation t Generators 126270k1 [1,-1,0,-72324045,-236697323675] 1 [5047176035391487005:64499107841162017435:509871755672369]
126270l (2 curves)	1	2+ 3- 5+ 23- 61+	2+ 3- 5+  2  2 -6 -6  4
Curve Equation t Generators 126270l1 [1,-1,0,-368775,101071341] 2 [-645:8706:1] 126270l2 [1,-1,0,-6177195,5910653025] 2 [1425:-195:1]
126270m (2 curves)	1	2+ 3- 5+ 23- 61+	2+ 3- 5+  4  6  4 -6  0
Curve Equation t Generators 126270m1 [1,-1,0,-371115,212497425] 2 [936:25695:1] 126270m2 [1,-1,0,-8073585,8822318391] 2 [-1917423:722210274:6859]
126270n (2 curves)	1	2+ 3- 5+ 23- 61+	2+ 3- 5+ -4 -4  0  6  4
Curve Equation t Generators 126270n1 [1,-1,0,-26910,321300] 2 [3:489:1] 126270n2 [1,-1,0,105570,2467476] 2 [2947:159465:1]
126270o (1 curve)	0	2+ 3- 5+ 23- 61-	2+ 3- 5+ -2  0 -1  3  1
Curve Equation t 126270o1 [1,-1,0,-390185010,85572724857300] 1
126270p (4 curves)	0	2+ 3- 5+ 23- 61-	2+ 3- 5+ -4  0  6 -2  4
Curve Equation t 126270p1 [1,-1,0,156150,-100612364] 2 126270p2 [1,-1,0,-2522970,-1434278300] 4 126270p3 [1,-1,0,-8331390,7579227856] 2 126270p4 [1,-1,0,-39580470,-95834553800] 2
126270q (2 curves)	0	2+ 3- 5- 23+ 61-	2+ 3- 5-  0  2 -4  6  4
Curve Equation t 126270q1 [1,-1,0,-5184,139968] 2 126270q2 [1,-1,0,-13464,-411480] 2
126270r (1 curve)	0	2+ 3- 5- 23+ 61-	2+ 3- 5-  4  0 -1 -3 -5
Curve Equation t 126270r1 [1,-1,0,-864,-9590] 1
126270s (2 curves)	0	2+ 3- 5- 23+ 61-	2+ 3- 5-  4  0  2 -6  4
Curve Equation t 126270s1 [1,-1,0,51696,61904128] 2 126270s2 [1,-1,0,-2067984,1107754240] 2
126270t (4 curves)	0	2+ 3- 5- 23- 61+	2+ 3- 5-  0 -4  2  6  0
Curve Equation t 126270t1 [1,-1,0,8766,107028] 2 126270t2 [1,-1,0,-37314,908820] 4 126270t3 [1,-1,0,-335394,-74028492] 2 126270t4 [1,-1,0,-476514,126607860] 2
126270u (4 curves)	2	2+ 3- 5- 23- 61+	2+ 3- 5-  0 -4 -2  2 -4
Curve Equation t Generators 126270u1 [1,-1,0,-1089,11245] 2 [-282:701:8]&[-34:107:1] 126270u2 [1,-1,0,-5589,-149855] 4 [-49:92:1]&[-39:107:1] 126270u3 [1,-1,0,4761,-648725] 2 [89:644:1]&[375:7145:1] 126270u4 [1,-1,0,-87939,-10015385] 2 [-171:92:1]&[20262:1002101:8]
126270v (1 curve)	1	2+ 3- 5- 23- 61-	2+ 3- 5- -3  5 -4  0 -7
Curve Equation t Generators 126270v1 [1,-1,0,-34704,-1942272] 1 [-141:435:1]
126270w (1 curve)	1	2+ 3- 5- 23- 61-	2+ 3- 5- -4  0  3  1  7
Curve Equation t Generators 126270w1 [1,-1,0,18936,1543648] 1 [137:2519:1]
126270x (1 curve)	1	2- 3+ 5+ 23- 61+	2- 3+ 5+  1  5 -6  4  1
Curve Equation t Generators 126270x1 [1,-1,1,-26705483,51345015131] 1 [3595:40522:1]
126270y (1 curve)	2	2- 3+ 5+ 23- 61-	2- 3+ 5+ -3 -5 -2 -4 -1
Curve Equation t Generators 126270y1 [1,-1,1,-8978,292081] 1 [-107:191:1]&[-35:767:1]
126270z (2 curves)	0	2- 3+ 5+ 23- 61-	2- 3+ 5+  4  0  2  8 -2
Curve Equation t 126270z1 [1,-1,1,-188,367] 2 126270z2 [1,-1,1,-1688,-26033] 2
126270ba (1 curve)	2	2- 3+ 5+ 23- 61-	2- 3+ 5+ -5 -1 -2 -4 -5
Curve Equation t Generators 126270ba1 [1,-1,1,-503,4431] 1 [15:-18:1]&[-7:90:1]
126270bb (1 curve)	0	2- 3+ 5- 23+ 61-	2- 3+ 5- -5  0 -1  0  4
Curve Equation t 126270bb1 [1,-1,1,-30512,-2073869] 1
126270bc (4 curves)	1	2- 3+ 5- 23- 61-	2- 3+ 5- -4 -6  2 -6  8
Curve Equation t Generators 126270bc1 [1,-1,1,-38387,-2316589] 6 [-149:354:1] 126270bc2 [1,-1,1,81613,-13980589] 6 [151:1254:1] 126270bc3 [1,-1,1,-2936387,-1935990989] 2 [2899:116486:1] 126270bc4 [1,-1,1,-2933687,-1939731029] 2 [626154:25161901:216]
126270bd (2 curves)	1	2- 3- 5+ 23+ 61+	2- 3- 5+  0  0 -2  6  0
Curve Equation t Generators 126270bd1 [1,-1,1,5512,111867] 2 [-7:273:1] 126270bd2 [1,-1,1,-27608,1012731] 2 [-7:1101:1]
126270be (1 curve)	1	2- 3- 5+ 23+ 61+	2- 3- 5+  1 -6 -5 -2  6
Curve Equation t Generators 126270be1 [1,-1,1,202,587] 1 [150:749:8]
126270bf (2 curves)	0	2- 3- 5+ 23+ 61-	2- 3- 5+  0 -2  2  0  2
Curve Equation t 126270bf1 [1,-1,1,-6863,-216169] 2 126270bf2 [1,-1,1,-3263,-445129] 2
126270bg (1 curve)	0	2- 3- 5+ 23- 61+	2- 3- 5+  1  2  3 -2 -2
Curve Equation t 126270bg1 [1,-1,1,40522,-9875419] 1
126270bh (2 curves)	0	2- 3- 5+ 23- 61+	2- 3- 5+ -2  2 -6 -2  4
Curve Equation t 126270bh1 [1,-1,1,-1586085863,-24312582657889] 2 126270bh2 [1,-1,1,-25377374183,-1556024274245473] 2
126270bi (1 curve)	1	2- 3- 5+ 23- 61-	2- 3- 5+  1  3  2 -6 -1
Curve Equation t Generators 126270bi1 [1,-1,1,-1082273,433634897] 1 [603:-392:1]
126270bj (1 curve)	1	2- 3- 5+ 23- 61-	2- 3- 5+  1  6  5  2 -6
Curve Equation t Generators 126270bj1 [1,-1,1,-10920083,14242999731] 1 [5243:315330:1]
126270bk (4 curves)	1	2- 3- 5+ 23- 61-	2- 3- 5+  4 -4 -2  2  4
Curve Equation t Generators 126270bk1 [1,-1,1,1372,-557769] 4 [5885:448497:1] 126270bk2 [1,-1,1,-93848,-10765353] 4 [3736677:36236927:9261] 126270bk3 [1,-1,1,-220118,24489231] 2 [61063720189321190:4641945708853054851:10363083701608] 126270bk4 [1,-1,1,-1491098,-700447953] 2 [585628235346:43793217804505:98611128]
126270bl (1 curve)	0	2- 3- 5- 23+ 61+	2- 3- 5-  1  1  4 -4 -1
Curve Equation t 126270bl1 [1,-1,1,-942962,-350559151] 1
126270bm (2 curves)	1	2- 3- 5- 23+ 61-	2- 3- 5- -1  3 -4  0 -7
Curve Equation t Generators 126270bm1 [1,-1,1,-10382,-402469] 1 [-450:491:8] 126270bm2 [1,-1,1,-63167,5849759] 3 [-1314:28103:8]
126270bn (1 curve)	1	2- 3- 5- 23+ 61-	2- 3- 5-  3  2 -1 -6 -2
Curve Equation t Generators 126270bn1 [1,-1,1,-281012,-57267601] 1 [807:15121:1]
126270bo (2 curves)	1	2- 3- 5- 23- 61+	2- 3- 5- -2 -6 -2 -2  4
Curve Equation t Generators 126270bo1 [1,-1,1,-1533092,756545991] 2 [1371:-35761:1] 126270bo2 [1,-1,1,-24766772,47446949319] 2 [3027:-15889:1]
126270bp (1 curve)	1	2- 3- 5- 23- 61+	2- 3- 5-  4  0 -5 -5 -5
Curve Equation t Generators 126270bp1 [1,-1,1,-26929112,-200775620901] 1 [14957:-1663479:1]
126270bq (2 curves)	0	2- 3- 5- 23- 61-	2- 3- 5-  0 -2  4  2 -4
Curve Equation t 126270bq1 [1,-1,1,-74432,-7293761] 2 126270bq2 [1,-1,1,-1169462,-486478889] 2

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