Cremona's table of elliptic curves

54120 = 2³ · 3 · 5 · 11 · 41

Class	r	Atkin-Lehner	Eigenvalues
54120a (1 curve)	1	2+ 3+ 5+ 11+ 41+	2+ 3+ 5+ -4 11+ -4  3 -1
Curve Equation t Generators 54120a1 [0,-1,0,-294601,-61422899] 1 [-315:146:1]
54120b (4 curves)	1	2+ 3+ 5- 11+ 41-	2+ 3+ 5-  0 11+ -2  6 -4
Curve Equation t Generators 54120b1 [0,-1,0,-615,-3948] 4 [1708636:31735472:4913] 54120b2 [0,-1,0,-9020,-326700] 4 [1390:51680:1] 54120b3 [0,-1,0,-8200,-389348] 2 [114:380:1] 54120b4 [0,-1,0,-144320,-21054660] 2 [722504:26023141:512]
54120c (1 curve)	1	2+ 3+ 5- 11- 41+	2+ 3+ 5- -5 11- -4 -3  0
Curve Equation t Generators 54120c1 [0,-1,0,-50920,-4407140] 1 [282:1892:1]
54120d (2 curves)	1	2+ 3- 5+ 11- 41+	2+ 3- 5+ -2 11-  0 -2  0
Curve Equation t Generators 54120d1 [0,1,0,-13216,543920] 2 [-76:1056:1] 54120d2 [0,1,0,11784,2383920] 2 [27:1650:1]
54120e (1 curve)	1	2+ 3- 5+ 11- 41+	2+ 3- 5+ -2 11-  0  7 -3
Curve Equation t Generators 54120e1 [0,1,0,-7041,-203325] 1 [-61:54:1]
54120f (1 curve)	1	2+ 3- 5- 11+ 41+	2+ 3- 5- -3 11+  0  3 -8
Curve Equation t Generators 54120f1 [0,1,0,-280,2528] 1 [-4:60:1]
54120g (2 curves)	1	2+ 3- 5- 11+ 41+	2+ 3- 5- -4 11+  4 -2  4
Curve Equation t Generators 54120g1 [0,1,0,-220,800] 2 [40:240:1] 54120g2 [0,1,0,600,6048] 2 [-4:60:1]
54120h (4 curves)	0	2+ 3- 5- 11- 41+	2+ 3- 5- -4 11-  2  6  4
Curve Equation t 54120h1 [0,1,0,-220,-26752] 2 54120h2 [0,1,0,-14800,-691600] 4 54120h3 [0,1,0,-26680,562928] 2 54120h4 [0,1,0,-236200,-44263120] 2
54120i (2 curves)	1	2- 3+ 5+ 11+ 41-	2- 3+ 5+ -2 11+  4  0 -4
Curve Equation t Generators 54120i1 [0,-1,0,-24211,982036] 2 [208:-2214:1] 54120i2 [0,-1,0,68244,6603300] 2 [413:10250:1]
54120j (4 curves)	1	2- 3+ 5+ 11+ 41-	2- 3+ 5+ -4 11+ -2 -6 -4
Curve Equation t Generators 54120j1 [0,-1,0,-64116,6245316] 4 [-10:2624:1] 54120j2 [0,-1,0,-97736,-976260] 4 [-51:1968:1] 54120j3 [0,-1,0,389344,-8185044] 2 [2325:116016:1] 54120j4 [0,-1,0,-1122736,-456486260] 2 [-16377:26864:27]
54120k (2 curves)	1	2- 3+ 5+ 11- 41+	2- 3+ 5+  2 11-  0  0  0
Curve Equation t Generators 54120k1 [0,-1,0,-78211,10738540] 2 [-251:3807:1] 54120k2 [0,-1,0,-1343836,600013540] 2 [-1016:30258:1]
54120l (1 curve)	0	2- 3- 5+ 11+ 41-	2- 3- 5+ -2 11+ -1  4 -2
Curve Equation t 54120l1 [0,1,0,-36256,-2670880] 1
54120m (1 curve)	1	2- 3- 5+ 11- 41-	2- 3- 5+ -2 11- -4  1  7
Curve Equation t Generators 54120m1 [0,1,0,-2001,33219] 1 [-3:198:1]
54120n (6 curves)	1	2- 3- 5- 11+ 41-	2- 3- 5-  0 11+ -2  2  4
Curve Equation t Generators 54120n1 [0,1,0,-76275375,256378484898] 4 [10083:715893:1] 54120n2 [0,1,0,-76275380,256378449600] 8 [-5042:716106:1] 54120n3 [0,1,0,-75972880,258513131600] 4 [-856:568260:1] 54120n4 [0,1,0,-76577960,254241508608] 4 [-5048:715680:1] 54120n5 [0,1,0,-4544240,713355626400] 2 [115425910365045:-21681059570312500:3314613771] 54120n6 [0,1,0,-153452960,-341631991392] 2 [102530630435820:-18127322865070419:2863288000]
54120o (1 curve)	1	2- 3- 5- 11+ 41-	2- 3- 5-  0 11+  4 -1  1
Curve Equation t Generators 54120o1 [0,1,0,-354425,-76036677] 1 [-359:2250:1]
54120p (1 curve)	1	2- 3- 5- 11+ 41-	2- 3- 5- -1 11+  4  0 -1
Curve Equation t Generators 54120p1 [0,1,0,-6080,-190752] 1 [163:1782:1]
54120q (1 curve)	1	2- 3- 5- 11+ 41-	2- 3- 5- -4 11+  4 -5 -7
Curve Equation t Generators 54120q1 [0,1,0,-23145,981003] 1 [-2229:41266:27]

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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