Cremona's table of elliptic curves

55470 = 2 · 3 · 5 · 43²

Class	r	Atkin-Lehner	Eigenvalues
55470a (1 curve)	2	2+ 3+ 5+ 43-	2+ 3+ 5+ -1 -5  4  2 -6
Curve Equation t Generators 55470a1 [1,1,0,-253,-323] 1 [-6:35:1]&[-3:22:1]
55470b (1 curve)	0	2+ 3+ 5+ 43-	2+ 3+ 5+ -4  4  1  5  0
Curve Equation t 55470b1 [1,1,0,-29131033,60783850237] 1
55470c (4 curves)	1	2+ 3+ 5- 43-	2+ 3+ 5- -2  0  2 -6 -8
Curve Equation t Generators 55470c1 [1,1,0,-32479572,-71256562416] 2 [-54015324278:-2238636501:16387064] 55470c2 [1,1,0,-30630572,-79724612616] 2 [431086799493714:-40794765530341497:36002379608] 55470c3 [1,1,0,-63431832,84443489676] 2 [-7873:-305771:1] 55470c4 [1,1,0,225474418,639663520926] 2 [-1623:519894:1]
55470d (1 curve)	1	2+ 3+ 5- 43-	2+ 3+ 5- -2 -5  0  5  5
Curve Equation t Generators 55470d1 [1,1,0,48,666] 1 [-3:24:1]
55470e (2 curves)	1	2+ 3+ 5- 43-	2+ 3+ 5-  4 -2 -6 -4  2
Curve Equation t Generators 55470e1 [1,1,0,-353197,-74638691] 2 [492870:16512901:343] 55470e2 [1,1,0,386403,-345184371] 2 [616261415:23141703626:456533]
55470f (1 curve)	0	2+ 3- 5+ 43+	2+ 3- 5+  0  4 -3  3  4
Curve Equation t 55470f1 [1,0,1,-110979,-122464844] 1
55470g (2 curves)	0	2+ 3- 5+ 43+	2+ 3- 5+  2 -3 -4 -3 -1
Curve Equation t 55470g1 [1,0,1,286556,21442826] 3 55470g2 [1,0,1,-3291259,-2689109818] 1
55470h (1 curve)	1	2+ 3- 5+ 43-	2+ 3- 5+  1 -4 -5 -8  5
Curve Equation t Generators 55470h1 [1,0,1,-83244,-17016374] 1 [1616:62982:1]
55470i (1 curve)	1	2+ 3- 5+ 43-	2+ 3- 5+ -2 -1  4  1  5
Curve Equation t Generators 55470i1 [1,0,1,-186659,1896143582] 1 [2946:162589:1]
55470j (1 curve)	1	2+ 3- 5- 43+	2+ 3- 5-  1 -2  3 -2  1
Curve Equation t Generators 55470j1 [1,0,1,-383,3026] 1 [-18:73:1]
55470k (2 curves)	1	2+ 3- 5- 43+	2+ 3- 5-  2  4 -2 -8  2
Curve Equation t Generators 55470k1 [1,0,1,-4253,-33352] 2 [-18:202:1] 55470k2 [1,0,1,-38653,2897528] 2 [142:455:1]
55470l (1 curve)	1	2+ 3- 5- 43+	2+ 3- 5-  3  1 -6  6 -2
Curve Equation t Generators 55470l1 [1,0,1,-269993,52450556] 1 [9705:32114:27]
55470m (2 curves)	1	2+ 3- 5- 43+	2+ 3- 5- -4 -2 -2 -2 -4
Curve Equation t Generators 55470m1 [1,0,1,-66260803,-207555750802] 2 [-3429909:-3550580:729] 55470m2 [1,0,1,-1060098303,-13285264645802] 2 [-187082254029996:93480531259355:9952248951]
55470n (2 curves)	0	2+ 3- 5- 43-	2+ 3- 5- -2  2 -2  4  2
Curve Equation t 55470n1 [1,0,1,-159053,-21879244] 2 55470n2 [1,0,1,-2470303,-1494607744] 2
55470o (2 curves)	0	2+ 3- 5- 43-	2+ 3- 5-  4 -4  4  4 -4
Curve Equation t 55470o1 [1,0,1,-18963383,32958641306] 2 55470o2 [1,0,1,-306519863,2065522864538] 2
55470p (1 curve)	0	2- 3+ 5+ 43+	2- 3+ 5+ -1 -2  3 -2 -1
Curve Equation t 55470p1 [1,1,1,-707281,-243437137] 1
55470q (2 curves)	0	2- 3+ 5+ 43+	2- 3+ 5+ -2  4 -2 -8 -2
Curve Equation t 55470q1 [1,1,1,-7862911,2620245989] 2 55470q2 [1,1,1,-71468511,-230659652571] 2
55470r (2 curves)	0	2- 3+ 5+ 43+	2- 3+ 5+  4 -2 -2 -2  4
Curve Equation t 55470r1 [1,1,1,-35836,2595533] 2 55470r2 [1,1,1,-573336,166855533] 2
55470s (2 curves)	1	2- 3+ 5+ 43-	2- 3+ 5+  2 -2 -2 -4  6
Curve Equation t Generators 55470s1 [1,1,1,-69376,-4749727] 2 [-978:11579:8] 55470s2 [1,1,1,-439176,108261153] 2 [69748:1912091:64]
55470t (4 curves)	1	2- 3+ 5+ 43-	2- 3+ 5+ -2 -6  2  0 -2
Curve Equation t Generators 55470t1 [1,1,1,-198806,-10196881] 2 [-32909722:-824498945:195112] 55470t2 [1,1,1,-2510056,-1530074881] 2 [-391948209817086:454348875604997:438629531192] 55470t3 [1,1,1,-9212681,10758748919] 2 [-1939:147040:1] 55470t4 [1,1,1,-9582481,9847709639] 2 [-1959:146260:1]
55470u (1 curve)	1	2- 3+ 5+ 43-	2- 3+ 5+  3  4 -3  0 -7
Curve Equation t Generators 55470u1 [1,1,1,222305182134,266453215936879959] 1 [1121890237:1573216498391:2197]
55470v (1 curve)	1	2- 3+ 5+ 43-	2- 3+ 5+ -3  1 -6  6  2
Curve Equation t Generators 55470v1 [1,1,1,-146,-721] 1 [-7:7:1]
55470w (2 curves)	1	2- 3+ 5+ 43-	2- 3+ 5+ -4  4  4  0  0
Curve Equation t Generators 55470w1 [1,1,1,4584,316533] 2 [26504:413611:512] 55470w2 [1,1,1,-50886,3910989] 2 [28817208:5618859:175616]
55470x (1 curve)	1	2- 3+ 5- 43+	2- 3+ 5-  2 -1  4  1 -5
Curve Equation t Generators 55470x1 [1,1,1,-345131605,-150758068320325] 1 [163943:64718028:1]
55470y (1 curve)	0	2- 3+ 5- 43-	2- 3+ 5-  0  4 -3  3 -4
Curve Equation t 55470y1 [1,1,1,-60,1515] 1
55470z (4 curves)	0	2- 3+ 5- 43-	2- 3+ 5-  0  4 -6 -6  8
Curve Equation t 55470z1 [1,1,1,1232320,-681394975] 4 55470z2 [1,1,1,-8234560,-6906815263] 4 55470z3 [1,1,1,-45214560,111251680737] 2 55470z4 [1,1,1,-122724640,-523302872095] 2
55470ba (1 curve)	0	2- 3+ 5- 43-	2- 3+ 5- -1  0  7 -4 -1
Curve Equation t 55470ba1 [1,1,1,9367920,380006493297] 1
55470bb (2 curves)	2	2- 3+ 5- 43-	2- 3+ 5- -2 -3 -4 -3  1
Curve Equation t Generators 55470bb1 [1,1,1,155,-205] 1 [14:59:8]&[5:24:1] 55470bb2 [1,1,1,-1780,33077] 1 [-49:99:1]&[17:-99:1]
55470bc (8 curves)	0	2- 3+ 5- 43-	2- 3+ 5-  4  0  2  6  4
Curve Equation t 55470bc1 [1,1,1,2735,-167905] 2 55470bc2 [1,1,1,-34245,-2223993] 4 55470bc3 [1,1,1,-25000,4968617] 2 55470bc4 [1,1,1,-126695,14897747] 2 55470bc5 [1,1,1,-533475,-150195765] 2 55470bc6 [1,1,1,-616680,185786025] 4 55470bc7 [1,1,1,-9861680,11915842025] 2 55470bc8 [1,1,1,-838560,39877737] 2
55470bd (4 curves)	0	2- 3+ 5- 43-	2- 3+ 5- -4  0 -2  2 -4
Curve Equation t 55470bd1 [1,1,1,-126695,17282957] 4 55470bd2 [1,1,1,-163675,6322085] 4 55470bd3 [1,1,1,631395,50527977] 2 55470bd4 [1,1,1,-1550425,-738640015] 2
55470be (1 curve)	1	2- 3- 5+ 43+	2- 3- 5+  2 -5  0  5 -5
Curve Equation t Generators 55470be1 [1,0,0,87789,-51365709] 1 [1495284:227829033:64]
55470bf (2 curves)	0	2- 3- 5+ 43-	2- 3- 5+  0  0 -4  0 -4
Curve Equation t 55470bf1 [1,0,0,-50886,6960996] 2 55470bf2 [1,0,0,-938406,349721220] 2
55470bg (2 curves)	0	2- 3- 5+ 43-	2- 3- 5+  0  6  2  0  2
Curve Equation t 55470bg1 [1,0,0,-285721386,1854212413716] 2 55470bg2 [1,0,0,-170158886,3367919376216] 2
55470bh (1 curve)	0	2- 3- 5- 43+	2- 3- 5-  1 -5  4  2  6
Curve Equation t 55470bh1 [1,0,0,-468760,17248832] 1
55470bi (1 curve)	0	2- 3- 5- 43+	2- 3- 5-  4  4  1  5  0
Curve Equation t 55470bi1 [1,0,0,-15755,-765975] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations