Cremona's table of elliptic curves

59160 = 2³ · 3 · 5 · 17 · 29

Class	r	Atkin-Lehner	Eigenvalues
59160a (1 curve)	2	2+ 3+ 5+ 17+ 29-	2+ 3+ 5+  0  1 -4 17+ -8
Curve Equation t Generators 59160a1 [0,-1,0,79,-75] 1 [1:2:1]&[4:17:1]
59160b (1 curve)	2	2+ 3+ 5+ 17+ 29-	2+ 3+ 5+ -3 -2 -1 17+ -5
Curve Equation t Generators 59160b1 [0,-1,0,-29016,1960380] 1 [1686:-16820:27]&[-147:1740:1]
59160c (2 curves)	0	2+ 3+ 5- 17+ 29+	2+ 3+ 5-  2  0 -2 17+ -4
Curve Equation t 59160c1 [0,-1,0,105,-468] 2 59160c2 [0,-1,0,-620,-3948] 2
59160d (4 curves)	1	2+ 3+ 5- 17+ 29-	2+ 3+ 5-  4 -4 -2 17+  4
Curve Equation t Generators 59160d1 [0,-1,0,-39295,3010780] 4 [-53:2223:1] 59160d2 [0,-1,0,-43500,2331252] 4 [-37961:2507050:1331] 59160d3 [0,-1,0,124120,15807900] 2 [1690:71060:1] 59160d4 [0,-1,0,-278400,-54702468] 2 [-761747129:-801110870:2924207]
59160e (2 curves)	0	2+ 3+ 5- 17- 29-	2+ 3+ 5-  2  0 -4 17-  2
Curve Equation t 59160e1 [0,-1,0,-480,-3780] 2 59160e2 [0,-1,0,-1160,10092] 2
59160f (2 curves)	0	2+ 3- 5+ 17+ 29+	2+ 3- 5+  0  4 -2 17+ -2
Curve Equation t 59160f1 [0,1,0,-6576,1075824] 2 59160f2 [0,1,0,-203096,35034480] 2
59160g (1 curve)	1	2+ 3- 5+ 17- 29+	2+ 3- 5+  3 -2 -5 17- -5
Curve Equation t Generators 59160g1 [0,1,0,-616,-78880] 1 [212:-3060:1]
59160h (2 curves)	1	2+ 3- 5- 17+ 29+	2+ 3- 5-  2  0  2 17+ -8
Curve Equation t Generators 59160h1 [0,1,0,-1010700,-391392000] 2 [-585:90:1] 59160h2 [0,1,0,-928080,-457950672] 2 [1251:18450:1]
59160i (4 curves)	0	2+ 3- 5- 17+ 29-	2+ 3- 5-  4  0  2 17+  4
Curve Equation t 59160i1 [0,1,0,-11260,454400] 2 59160i2 [0,1,0,-17040,-68112] 4 59160i3 [0,1,0,67960,-476112] 2 59160i4 [0,1,0,-194520,-33008400] 2
59160j (1 curve)	2	2+ 3- 5- 17+ 29-	2+ 3- 5- -4 -3 -4 17+ -8
Curve Equation t Generators 59160j1 [0,1,0,350815,107098275] 1 [265:-14790:1]&[-245:2550:1]
59160k (2 curves)	0	2- 3+ 5+ 17+ 29+	2- 3+ 5+ -2  0  0 17+  0
Curve Equation t 59160k1 [0,-1,0,24744,-2070180] 2 59160k2 [0,-1,0,-171776,-21171924] 2
59160l (2 curves)	1	2- 3+ 5+ 17+ 29-	2- 3+ 5+  2  0 -2 17+ -4
Curve Equation t Generators 59160l1 [0,-1,0,81329,-4726904] 2 [571935:-23675093:343] 59160l2 [0,-1,0,-371796,-39889404] 2 [-160:3934:1]
59160m (2 curves)	1	2- 3+ 5+ 17+ 29-	2- 3+ 5+ -2 -4  6 17+  0
Curve Equation t Generators 59160m1 [0,-1,0,-31,-200] 2 [9:13:1] 59160m2 [0,-1,0,-756,-7740] 2 [-16:2:1]
59160n (2 curves)	1	2- 3+ 5+ 17+ 29-	2- 3+ 5+  4  6  6 17+ -6
Curve Equation t Generators 59160n1 [0,-1,0,-116,-60] 2 [-4:18:1] 59160n2 [0,-1,0,-1136,15036] 2 [30:84:1]
59160o (4 curves)	1	2- 3+ 5+ 17- 29+	2- 3+ 5+  0 -4  2 17-  8
Curve Equation t Generators 59160o1 [0,-1,0,-7396,247300] 2 [46:48:1] 59160o2 [0,-1,0,-7416,245916] 4 [-82:544:1] 59160o3 [0,-1,0,-1616,614796] 2 [1205:41796:1] 59160o4 [0,-1,0,-13536,-211860] 2 [-91:508:1]
59160p (2 curves)	1	2- 3+ 5- 17+ 29+	2- 3+ 5-  0 -4  0 17+ -2
Curve Equation t Generators 59160p1 [0,-1,0,-995400,382003452] 2 [269:11560:1] 59160p2 [0,-1,0,-683280,625581900] 2 [485:20200:1]
59160q (2 curves)	0	2- 3+ 5- 17+ 29-	2- 3+ 5-  2  4 -4 17+  6
Curve Equation t 59160q1 [0,-1,0,-33880,-2302628] 2 59160q2 [0,-1,0,-88960,7149100] 2
59160r (2 curves)	2	2- 3+ 5- 17- 29+	2- 3+ 5- -2  0 -6 17- -8
Curve Equation t Generators 59160r1 [0,-1,0,-1140,15012] 2 [24:-30:1]&[-31:140:1] 59160r2 [0,-1,0,-120,39900] 2 [-10:200:1]&[46:360:1]
59160s (4 curves)	1	2- 3+ 5- 17- 29-	2- 3+ 5-  0  0  2 17-  4
Curve Equation t Generators 59160s1 [0,-1,0,-820,4420] 4 [1:60:1] 59160s2 [0,-1,0,-6600,-201348] 4 [9066:160480:27] 59160s3 [0,-1,0,-480,-566100] 2 [665:17110:1] 59160s4 [0,-1,0,-105200,-13098228] 2 [-4797293245:22425012:25672375]
59160t (2 curves)	1	2- 3- 5+ 17+ 29+	2- 3- 5+ -2  4 -4 17+ -2
Curve Equation t Generators 59160t1 [0,1,0,-456,2304] 2 [0:48:1] 59160t2 [0,1,0,-6576,203040] 2 [51:54:1]
59160u (4 curves)	0	2- 3- 5+ 17- 29+	2- 3- 5+ -4 -4 -2 17-  0
Curve Equation t 59160u1 [0,1,0,-378356,-216166656] 2 59160u2 [0,1,0,-8190856,-9016166656] 4 59160u3 [0,1,0,-10365856,-3853586656] 2 59160u4 [0,1,0,-131015856,-577253746656] 2
59160v (2 curves)	0	2- 3- 5- 17+ 29+	2- 3- 5-  2 -6  0 17+ -4
Curve Equation t 59160v1 [0,1,0,-2360,40320] 2 59160v2 [0,1,0,-37040,2731488] 2
59160w (2 curves)	2	2- 3- 5- 17+ 29+	2- 3- 5- -4 -6 -2 17+ -2
Curve Equation t Generators 59160w1 [0,1,0,-30820,2069600] 2 [95:90:1]&[-190:1050:1] 59160w2 [0,1,0,-40000,725648] 2 [416:7500:1]&[-109:1950:1]
59160x (1 curve)	1	2- 3- 5- 17+ 29-	2- 3- 5- -1  6  3 17+ -7
Curve Equation t Generators 59160x1 [0,1,0,640,-10992] 1 [16:60:1]
59160y (2 curves)	1	2- 3- 5- 17+ 29-	2- 3- 5-  2  0  0 17+  2
Curve Equation t Generators 59160y1 [0,1,0,-3797160,2819207808] 2 [62244:439245:64] 59160y2 [0,1,0,-60591440,181516730400] 2 [4435:6810:1]

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