Cremona's table of elliptic curves

117978 = 2 · 3 · 7 · 53²

Class	r	Atkin-Lehner	Eigenvalues
117978a (1 curve)	0	2+ 3+ 7+ 53-	2+ 3+  1 7+ -1 -4  3  5
Curve Equation t 117978a1 [1,1,0,-6078440102,186381560624532] 1
117978b (1 curve)	0	2+ 3+ 7- 53+	2+ 3+  3 7- -1 -4 -3  8
Curve Equation t 117978b1 [1,1,0,-2084336,1204712832] 1
117978c (1 curve)	1	2+ 3+ 7- 53-	2+ 3+  2 7-  1  3  6 -2
Curve Equation t Generators 117978c1 [1,1,0,-6291483089,-192080618361387] 1 [-344374476076794:184279018085233:7518017079]
117978d (1 curve)	0	2+ 3- 7+ 53+	2+ 3- -1 7+ -1  0 -7  4
Curve Equation t 117978d1 [1,0,1,7612331,-13527220192] 1
117978e (2 curves)	0	2+ 3- 7+ 53+	2+ 3-  2 7+  2 -6 -4 -8
Curve Equation t 117978e1 [1,0,1,12181315520,795125030124686] 2 117978e2 [1,0,1,-90909433920,8448912158948494] 2
117978f (6 curves)	0	2+ 3- 7+ 53+	2+ 3-  2 7+ -4  6  2  4
Curve Equation t 117978f1 [1,0,1,-11295,1019314] 2 117978f2 [1,0,1,-236015,44075666] 4 117978f3 [1,0,1,-292195,21491306] 4 117978f4 [1,0,1,-3775355,2823165434] 2 117978f5 [1,0,1,1084215,166289638] 2 117978f6 [1,0,1,-2567485,-1568481346] 2
117978g (1 curve)	0	2+ 3- 7+ 53+	2+ 3-  4 7+  5 -7  4 -4
Curve Equation t 117978g1 [1,0,1,-589,-5176] 1
117978h (4 curves)	1	2+ 3- 7+ 53-	2+ 3-  2 7+ -2  4  2 -4
Curve Equation t Generators 117978h1 [1,0,1,-55815,-5079926] 2 [-1660303398593752:701412887954578:12152722588271] 117978h2 [1,0,1,-57935,-4673734] 2 [-96621462:-264129925:571787] 117978h3 [1,0,1,-580780,168453098] 2 [346:2819:1] 117978h4 [1,0,1,-9264300,10852656106] 2 [1400:24342:1]
117978i (1 curve)	1	2+ 3- 7- 53+	2+ 3-  0 7-  1  1  8  0
Curve Equation t Generators 117978i1 [1,0,1,-397771,95957366] 1 [79:8024:1]
117978j (2 curves)	1	2+ 3- 7- 53+	2+ 3-  2 7-  0 -4  2  0
Curve Equation t Generators 117978j1 [1,0,1,199380,-42025802] 2 [654472:24237213:512] 117978j2 [1,0,1,-1289390,-419577874] 2 [-4170:86351:8]
117978k (1 curve)	0	2+ 3- 7- 53-	2+ 3- -1 7-  3  0 -3  7
Curve Equation t 117978k1 [1,0,1,-913599219,12999838175758] 1
117978l (2 curves)	0	2+ 3- 7- 53-	2+ 3- -3 7- -3  2 -3 -7
Curve Equation t 117978l1 [1,0,1,58930,-8862748] 3 117978l2 [1,0,1,-2174225,-1237991260] 1
117978m (4 curves)	0	2- 3+ 7+ 53+	2- 3+ -2 7+  0  2  2 -4
Curve Equation t 117978m1 [1,1,1,-68879,6863237] 4 117978m2 [1,1,1,-125059,-6013219] 4 117978m3 [1,1,1,464831,-45889783] 2 117978m4 [1,1,1,-1613829,-789106239] 2
117978n (4 curves)	1	2- 3+ 7+ 53-	2- 3+ -2 7+ -2  4  2  4
Curve Equation t Generators 117978n1 [1,1,1,-156782989,-755656974013] 2 [-1505489927590311118992769701385193533192:1217304448992177758177939554250498244243:208901672894927696221237240237907456] 117978n2 [1,1,1,-162738069,-695160507309] 2 [-891431940216811609476:-40307892776448659305899:136530412623481024] 117978n3 [1,1,1,-1631409674,25085317546775] 2 [1690245419:7726690337:79507] 117978n4 [1,1,1,-26023417354,1615814976799511] 2 [89929:-1730565:1]
117978o (1 curve)	1	2- 3+ 7+ 53-	2- 3+ -4 7+  5 -7  4  4
Curve Equation t Generators 117978o1 [1,1,1,-1653155,-763937599] 1 [3979:-237946:1]
117978p (1 curve)	1	2- 3+ 7- 53+	2- 3+  1 7-  3  0 -3 -7
Curve Equation t Generators 117978p1 [1,1,1,-325240,87184313] 1 [-563:9885:1]
117978q (1 curve)	1	2- 3+ 7- 53+	2- 3+  1 7-  3 -6 -3  2
Curve Equation t Generators 117978q1 [1,1,1,228875,-10108741] 1 [269:-8562:1]
117978r (2 curves)	1	2- 3+ 7- 53+	2- 3+  3 7- -3  2 -3  7
Curve Equation t Generators 117978r1 [1,1,1,21,-51] 1 [255:136:125] 117978r2 [1,1,1,-774,-8637] 1 [33:39:1]
117978s (1 curve)	0	2- 3+ 7- 53-	2- 3+  0 7-  1  1  8  0
Curve Equation t 117978s1 [1,1,1,-1117337393,14290314164687] 1
117978t (1 curve)	1	2- 3- 7+ 53+	2- 3-  1 7+ -1  2  1  2
Curve Equation t Generators 117978t1 [1,0,0,-104617050,411853407588] 1 [157368:196598:27]
117978u (1 curve)	1	2- 3- 7+ 53+	2- 3- -1 7+ -1 -4  3 -5
Curve Equation t Generators 117978u1 [1,0,0,-2163916,1251753104] 1 [-1000:49652:1]
117978v (4 curves)	1	2- 3- 7+ 53+	2- 3- -2 7+ -4  2 -2 -4
Curve Equation t Generators 117978v1 [1,0,0,-5335754,-4742416092] 2 [3838:175048:1] 117978v2 [1,0,0,-6234634,-3036162076] 4 [-832:40106:1] 117978v3 [1,0,0,21068846,-22448936356] 2 [16022:2096294:1] 117978v4 [1,0,0,-47920194,125580464748] 2 [3414:40428:1]
117978w (1 curve)	0	2- 3- 7- 53+	2- 3- -2 7-  1  3  6  2
Curve Equation t 117978w1 [1,0,0,-2239759,-1290365767] 1
117978x (2 curves)	0	2- 3- 7- 53+	2- 3- -2 7-  4  0 -6  8
Curve Equation t 117978x1 [1,0,0,-363824,111165120] 2 117978x2 [1,0,0,-6318904,6112694744] 2
117978y (2 curves)	0	2- 3- 7- 53+	2- 3- -2 7- -6  2  4  0
Curve Equation t 117978y1 [1,0,0,57526,5423124] 2 117978y2 [1,0,0,-335734,51591848] 2

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