Cremona's table of elliptic curves

12054 = 2 · 3 · 7² · 41

Class	r	Atkin-Lehner	Eigenvalues
12054a (1 curve)	1	2+ 3+ 7+ 41+	2+ 3+  0 7+  2 -5 -6 -6
Curve Equation t Generators 12054a1 [1,1,0,-25,-209] 1 [7:1:1]
12054b (1 curve)	1	2+ 3+ 7+ 41+	2+ 3+ -3 7+  5  4 -6 -6
Curve Equation t Generators 12054b1 [1,1,0,-88029,28520829] 1 [-179:6301:1]
12054c (1 curve)	0	2+ 3+ 7- 41+	2+ 3+  0 7- -5  2  8  1
Curve Equation t 12054c1 [1,1,0,-1047680,412336128] 1
12054d (2 curves)	0	2+ 3+ 7- 41+	2+ 3+ -3 7-  0  1  3  1
Curve Equation t 12054d1 [1,1,0,-101994,13864194] 1 12054d2 [1,1,0,-8509659,9551139669] 1
12054e (2 curves)	1	2+ 3+ 7- 41-	2+ 3+  0 7- -6  1  6 -2
Curve Equation t Generators 12054e1 [1,1,0,780,3312] 1 [147:1749:1] 12054e2 [1,1,0,-13395,608301] 1 [57:156:1]
12054f (1 curve)	1	2+ 3+ 7- 41-	2+ 3+  1 7-  2  1  0 -8
Curve Equation t Generators 12054f1 [1,1,0,-12420937,18513770437] 1 [94002:28754023:1]
12054g (1 curve)	1	2+ 3+ 7- 41-	2+ 3+ -1 7- -2  5  2  6
Curve Equation t Generators 12054g1 [1,1,0,-2083,165901] 1 [6:389:1]
12054h (2 curves)	1	2+ 3+ 7- 41-	2+ 3+  2 7-  4 -4  2  0
Curve Equation t Generators 12054h1 [1,1,0,-22240929,40362476085] 2 [42177225:-53576862:15625] 12054h2 [1,1,0,-22209569,40482014133] 2 [228466706425:-2223923123006:76765625]
12054i (2 curves)	1	2+ 3+ 7- 41-	2+ 3+ -3 7- -6  1 -3 -5
Curve Equation t Generators 12054i1 [1,1,0,-74,-846] 1 [13:18:1] 12054i2 [1,1,0,661,20469] 1 [97:956:1]
12054j (1 curve)	1	2+ 3+ 7- 41-	2+ 3+ -4 7- -3  6  0 -3
Curve Equation t Generators 12054j1 [1,1,0,3,15] 1 [-1:4:1]
12054k (2 curves)	0	2+ 3- 7+ 41+	2+ 3-  0 7+ -6 -1 -6  2
Curve Equation t 12054k1 [1,0,1,38194,-1021408] 3 12054k2 [1,0,1,-656381,-210616360] 1
12054l (1 curve)	1	2+ 3- 7- 41+	2+ 3-  0 7-  5 -4 -2  1
Curve Equation t Generators 12054l1 [1,0,1,8059,-435760] 1 [270:4495:1]
12054m (1 curve)	1	2+ 3- 7- 41+	2+ 3- -1 7-  2 -1  0  8
Curve Equation t Generators 12054m1 [1,0,1,-253489,-54012220] 1 [907:21050:1]
12054n (1 curve)	1	2+ 3- 7- 41+	2+ 3- -3 7-  2 -1 -5  1
Curve Equation t Generators 12054n1 [1,0,1,-2035,36110] 1 [18:64:1]
12054o (1 curve)	1	2+ 3- 7- 41+	2+ 3-  4 7- -3 -6  0  3
Curve Equation t Generators 12054o1 [1,0,1,121,-4756] 1 [4420:23967:125]
12054p (1 curve)	0	2+ 3- 7- 41-	2+ 3-  0 7-  2  5  6  6
Curve Equation t 12054p1 [1,0,1,-1251,67960] 1
12054q (1 curve)	0	2+ 3- 7- 41-	2+ 3-  0 7- -5 -2 -8 -1
Curve Equation t 12054q1 [1,0,1,-51336346,-141585300916] 1
12054r (1 curve)	0	2+ 3- 7- 41-	2+ 3-  1 7-  4 -1 -3  3
Curve Equation t 12054r1 [1,0,1,-3116328,-2160520106] 1
12054s (2 curves)	0	2+ 3- 7- 41-	2+ 3-  2 7- -4  4  2  8
Curve Equation t 12054s1 [1,0,1,-3260,-71494] 2 12054s2 [1,0,1,-1300,-156166] 2
12054t (1 curve)	0	2+ 3- 7- 41-	2+ 3-  3 7-  2 -1  6 -6
Curve Equation t 12054t1 [1,0,1,-2182,-39448] 1
12054u (1 curve)	0	2+ 3- 7- 41-	2+ 3-  3 7-  5 -4  6  6
Curve Equation t 12054u1 [1,0,1,-1797,-83408] 1
12054v (1 curve)	0	2+ 3- 7- 41-	2+ 3- -3 7- -4 -1 -3  3
Curve Equation t 12054v1 [1,0,1,-6200,-4354780] 1
12054w (1 curve)	0	2+ 3- 7- 41-	2+ 3- -4 7- -1  4  2 -7
Curve Equation t 12054w1 [1,0,1,-25408,1673102] 1
12054x (2 curves)	1	2- 3+ 7- 41+	2- 3+  0 7-  0  2  6 -4
Curve Equation t Generators 12054x1 [1,1,1,-393,11955] 2 [3:102:1] 12054x2 [1,1,1,-10683,419439] 2 [4308:4535:64]
12054y (1 curve)	1	2- 3+ 7- 41+	2- 3+  0 7- -5  2 -4  1
Curve Equation t Generators 12054y1 [1,1,1,-72248,-7993735] 1 [965:28189:1]
12054z (2 curves)	1	2- 3+ 7- 41+	2- 3+ -1 7-  2  1  7 -5
Curve Equation t Generators 12054z1 [1,1,1,-8576,9542945] 1 [-43:3157:1] 12054z2 [1,1,1,-28397216,58233585185] 1 [3065:-455:1]
12054ba (4 curves)	1	2- 3+ 7- 41+	2- 3+  2 7- -4 -2 -2  4
Curve Equation t Generators 12054ba1 [1,1,1,-442,-3529] 2 [-13:21:1] 12054ba2 [1,1,1,-1422,16071] 4 [85:677:1] 12054ba3 [1,1,1,-21512,1205399] 2 [59592:248183:512] 12054ba4 [1,1,1,2988,100743] 2 [582:6445:8]
12054bb (4 curves)	1	2- 3+ 7- 41+	2- 3+ -2 7-  0 -6 -2  4
Curve Equation t Generators 12054bb1 [1,1,1,-4999,-165523] 2 [85:138:1] 12054bb2 [1,1,1,-84379,-9468859] 4 [8023:714196:1] 12054bb3 [1,1,1,-1350049,-604333759] 2 [1919952698:169475904647:238328] 12054bb4 [1,1,1,-88789,-8429863] 2 [-890:2793:8]
12054bc (1 curve)	1	2- 3+ 7- 41+	2- 3+  3 7- -2 -1 -4  4
Curve Equation t Generators 12054bc1 [1,1,1,31506,-424341] 1 [167:3003:1]
12054bd (1 curve)	1	2- 3+ 7- 41+	2- 3+ -4 7- -1  4 -2 -5
Curve Equation t Generators 12054bd1 [1,1,1,-161505,-29103159] 1 [10561998:12130683943:8]
12054be (2 curves)	0	2- 3+ 7- 41-	2- 3+  0 7- -3  4 -6 -5
Curve Equation t 12054be1 [1,1,1,-1373,-20581] 1 12054be2 [1,1,1,5977,-81145] 1
12054bf (1 curve)	0	2- 3+ 7- 41-	2- 3+  3 7-  0  5  1  1
Curve Equation t 12054bf1 [1,1,1,-1569,-133281] 1
12054bg (2 curves)	0	2- 3- 7- 41+	2- 3-  0 7-  2  6  2  8
Curve Equation t 12054bg1 [1,0,0,-18523,-1023919] 2 12054bg2 [1,0,0,-300763,-63511855] 2
12054bh (1 curve)	0	2- 3- 7- 41+	2- 3- -1 7- -4  3  7 -5
Curve Equation t 12054bh1 [1,0,0,-265826,-65056188] 1
12054bi (2 curves)	0	2- 3- 7- 41+	2- 3-  4 7-  6 -2  2  0
Curve Equation t 12054bi1 [1,0,0,-23521,1445093] 2 12054bi2 [1,0,0,-380731,90390383] 2
12054bj (2 curves)	1	2- 3- 7- 41-	2- 3-  0 7-  0 -2 -6  4
Curve Equation t Generators 12054bj1 [1,0,0,-8,-36] 2 [36:198:1] 12054bj2 [1,0,0,-218,-1254] 2 [2388:12063:64]
12054bk (1 curve)	1	2- 3- 7- 41-	2- 3-  0 7- -5 -2  4 -1
Curve Equation t Generators 12054bk1 [1,0,0,-3540153,2731230585] 1 [-486:66099:1]
12054bl (1 curve)	1	2- 3- 7- 41-	2- 3- -1 7-  2 -3 -2 -2
Curve Equation t Generators 12054bl1 [1,0,0,45079,1257129] 1 [4476:96203:27]
12054bm (1 curve)	1	2- 3- 7- 41-	2- 3- -1 7-  2  7 -7 -7
Curve Equation t Generators 12054bm1 [1,0,0,-13231,584849] 1 [32:425:1]
12054bn (4 curves)	1	2- 3- 7- 41-	2- 3-  2 7- -4 -2  2 -4
Curve Equation t Generators 12054bn1 [1,0,0,4948,-1118832] 4 [186:2406:1] 12054bn2 [1,0,0,-136172,-18533040] 4 [474:4608:1] 12054bn3 [1,0,0,-2153012,-1216132632] 2 [1067670:-97644108:125] 12054bn4 [1,0,0,-377252,65121720] 2 [3709218:28303476:6859]
12054bo (1 curve)	1	2- 3- 7- 41-	2- 3- -3 7- -2  1  4 -4
Curve Equation t Generators 12054bo1 [1,0,0,643,1329] 1 [4:61:1]
12054bp (1 curve)	1	2- 3- 7- 41-	2- 3- -4 7- -1  0 -2  1
Curve Equation t Generators 12054bp1 [1,0,0,241520,213514496] 1 [2048:-97456:1]

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