Cremona's table of elliptic curves

105040 = 2⁴ · 5 · 13 · 101

Class	r	Atkin-Lehner	Eigenvalues
105040a (1 curve)	1	2+ 5+ 13+ 101+	2+ -1 5+  4  0 13+  1  5
Curve Equation t Generators 105040a1 [0,-1,0,-216,-1184] 1 [46:290:1]
105040b (1 curve)	1	2+ 5+ 13+ 101+	2+ -3 5+  0  0 13+ -3 -1
Curve Equation t Generators 105040b1 [0,0,0,-532243,-149460542] 1 [1158729:9123250:1331]
105040c (2 curves)	2	2+ 5+ 13- 101+	2+ -2 5+ -4 -6 13-  2  0
Curve Equation t Generators 105040c1 [0,1,0,-156,364] 2 [-10:32:1]&[2:8:1] 105040c2 [0,1,0,-2176,38340] 2 [22:40:1]&[-38:260:1]
105040d (2 curves)	2	2+ 5- 13+ 101+	2+  0 5-  0  0 13+ -6  2
Curve Equation t Generators 105040d1 [0,0,0,-407,406] 2 [-15:56:1]&[-3:40:1] 105040d2 [0,0,0,1613,3234] 2 [3:90:1]&[43:390:1]
105040e (2 curves)	0	2+ 5- 13+ 101+	2+  0 5- -2  2 13+  2 -4
Curve Equation t 105040e1 [0,0,0,-286411142,1858114655751] 2 105040e2 [0,0,0,-4577426767,119201086140126] 2
105040f (2 curves)	2	2+ 5- 13+ 101+	2+  0 5- -2 -2 13+  2  0
Curve Equation t Generators 105040f1 [0,0,0,-142,-549] 2 [-5:6:1]&[1746:25755:8] 105040f2 [0,0,0,-647,5814] 2 [-27:60:1]&[-7:100:1]
105040g (2 curves)	0	2+ 5- 13+ 101+	2+  2 5-  4  2 13+  2  0
Curve Equation t 105040g1 [0,-1,0,-55,-78] 2 105040g2 [0,-1,0,-380,2912] 2
105040h (2 curves)	1	2+ 5- 13+ 101-	2+  2 5- -2  4 13+  2 -4
Curve Equation t Generators 105040h1 [0,-1,0,-176075,-28379098] 2 [494290:2260683:1000] 105040h2 [0,-1,0,-176580,-28207600] 2 [-244:540:1]
105040i (2 curves)	1	2+ 5- 13+ 101-	2+ -2 5-  2  0 13+ -6 -4
Curve Equation t Generators 105040i1 [0,1,0,-315,1300] 2 [-16:50:1] 105040i2 [0,1,0,-4540,116220] 2 [-62:404:1]
105040j (1 curve)	1	2+ 5- 13- 101+	2+  2 5-  1  0 13-  2  4
Curve Equation t Generators 105040j1 [0,-1,0,-200,-1888] 1 [714:2782:27]
105040k (2 curves)	0	2- 5+ 13+ 101+	2-  0 5+  2  4 13+  2  6
Curve Equation t 105040k1 [0,0,0,-2188,-39393] 2 105040k2 [0,0,0,-2183,-39582] 2
105040l (1 curve)	0	2- 5+ 13+ 101+	2- -1 5+ -2  4 13+ -1 -3
Curve Equation t 105040l1 [0,-1,0,6304,-207680] 1
105040m (1 curve)	0	2- 5+ 13+ 101+	2-  2 5+  1 -4 13+  2 -4
Curve Equation t 105040m1 [0,-1,0,-16,12480] 1
105040n (2 curves)	0	2- 5+ 13+ 101+	2-  2 5+ -4  4 13+  2 -2
Curve Equation t 105040n1 [0,-1,0,-10936,-436560] 2 105040n2 [0,-1,0,-10856,-443344] 2
105040o (2 curves)	1	2- 5+ 13- 101+	2-  0 5+  0 -4 13- -6 -6
Curve Equation t Generators 105040o1 [0,0,0,-2288003,1332088002] 2 [857:832:1] 105040o2 [0,0,0,-2279923,1341963378] 2 [958:6084:1]
105040p (2 curves)	1	2- 5+ 13- 101+	2- -2 5+  0  2 13- -6 -4
Curve Equation t Generators 105040p1 [0,1,0,-2176,37044] 2 [10:128:1] 105040p2 [0,1,0,-34496,2454580] 2 [42:1040:1]
105040q (2 curves)	2	2- 5+ 13- 101-	2-  0 5+  0  4 13- -6  4
Curve Equation t Generators 105040q1 [0,0,0,-248,-1393] 2 [-11:2:1]&[4994:124735:8] 105040q2 [0,0,0,257,-6342] 2 [66:546:1]&[3394:197730:1]
105040r (2 curves)	0	2- 5+ 13- 101-	2-  2 5+  1  0 13-  0  4
Curve Equation t 105040r1 [0,-1,0,-436,7356] 1 105040r2 [0,-1,0,-44876,3674060] 1
105040s (2 curves)	1	2- 5- 13+ 101+	2-  0 5-  0  0 13+  2  2
Curve Equation t Generators 105040s1 [0,0,0,-616667,-186382966] 2 [-40897596039235:-6899531421568:89975616641] 105040s2 [0,0,0,-584347,-206789814] 2 [144438207843843538492014:-4173128143536142634349765:105352941151716226424]
105040t (1 curve)	1	2- 5- 13+ 101+	2-  1 5-  4  0 13+ -3 -1
Curve Equation t Generators 105040t1 [0,1,0,400,-17452] 1 [596:14570:1]
105040u (1 curve)	1	2- 5- 13+ 101+	2- -1 5-  2  4 13+  7 -5
Curve Equation t Generators 105040u1 [0,-1,0,-251800,322445552] 1 [-406:18910:1]
105040v (2 curves)	1	2- 5- 13+ 101+	2-  2 5-  0  2 13+ -6  8
Curve Equation t Generators 105040v1 [0,-1,0,-14080,-635328] 2 [1242:7575:8] 105040v2 [0,-1,0,-22160,185600] 2 [-80:1200:1]
105040w (1 curve)	1	2- 5- 13+ 101+	2-  3 5-  0  0 13+ -7 -7
Curve Equation t Generators 105040w1 [0,0,0,71093,15833594] 1 [4701:-156250:27]
105040x (1 curve)	0	2- 5- 13+ 101-	2-  2 5-  1 -2 13+  7 -7
Curve Equation t 105040x1 [0,-1,0,-14907160,-28850864400] 1
105040y (2 curves)	0	2- 5- 13- 101+	2-  2 5- -5  0 13-  6  4
Curve Equation t 105040y1 [0,-1,0,174200,-153458448] 1 105040y2 [0,-1,0,-1575800,4262141552] 1
105040z (2 curves)	0	2- 5- 13- 101+	2- -2 5-  2  6 13- -2  8
Curve Equation t 105040z1 [0,1,0,-785,8050] 2 105040z2 [0,1,0,60,25288] 2
105040ba (2 curves)	1	2- 5- 13- 101-	2- -2 5- -4 -2 13- -6 -6
Curve Equation t Generators 105040ba1 [0,1,0,-215560,-38507532] 2 [583:5858:1] 105040ba2 [0,1,0,-133640,-68031500] 2 [1020:29290:1]
105040bb (1 curve)	1	2- 5- 13- 101-	2- -2 5-  5 -6 13- -5  5
Curve Equation t Generators 105040bb1 [0,1,0,-197080,33611028] 1 [86:4160:1]

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