Cremona's table of elliptic curves

6090 = 2 · 3 · 5 · 7 · 29

Class	r	Atkin-Lehner	Eigenvalues
6090a (4 curves)	1	2+ 3+ 5+ 7+ 29+	2+ 3+ 5+ 7+  4  2 -6 -4
Curve Equation t Generators 6090a1 [1,1,0,-338,-2508] 2 [-11:11:1] 6090a2 [1,1,0,-658,2548] 4 [-21:98:1] 6090a3 [1,1,0,-8778,312732] 2 [57:12:1] 6090a4 [1,1,0,2342,22348] 2 [3:170:1]
6090b (1 curve)	0	2+ 3+ 5+ 7+ 29-	2+ 3+ 5+ 7+  1  3  4 -5
Curve Equation t 6090b1 [1,1,0,-530903,-165634947] 1
6090c (1 curve)	0	2+ 3+ 5+ 7+ 29-	2+ 3+ 5+ 7+  1  6  1  7
Curve Equation t 6090c1 [1,1,0,-868,10192] 1
6090d (2 curves)	1	2+ 3+ 5- 7+ 29-	2+ 3+ 5- 7+ -4  4  4  0
Curve Equation t Generators 6090d1 [1,1,0,-87,-171] 2 [-7:16:1] 6090d2 [1,1,0,313,-891] 2 [10:53:1]
6090e (2 curves)	1	2+ 3+ 5- 7- 29+	2+ 3+ 5- 7-  0  0  4 -4
Curve Equation t Generators 6090e1 [1,1,0,-7542,188244] 2 [-97:186:1] 6090e2 [1,1,0,18058,1217364] 2 [124:2258:1]
6090f (1 curve)	1	2+ 3+ 5- 7- 29+	2+ 3+ 5- 7- -3 -3  4 -1
Curve Equation t Generators 6090f1 [1,1,0,-647,-13419] 1 [37:104:1]
6090g (4 curves)	0	2+ 3- 5+ 7+ 29+	2+ 3- 5+ 7+  4  6  6  4
Curve Equation t 6090g1 [1,0,1,14521,378506] 2 6090g2 [1,0,1,-67399,3229322] 4 6090g3 [1,0,1,-531399,-146921078] 2 6090g4 [1,0,1,-914119,336159626] 2
6090h (2 curves)	1	2+ 3- 5+ 7+ 29-	2+ 3- 5+ 7+  0  0 -2  6
Curve Equation t Generators 6090h1 [1,0,1,-3699,86266] 2 [34:-7:1] 6090h2 [1,0,1,-3669,87742] 2 [40:53:1]
6090i (4 curves)	1	2+ 3- 5+ 7- 29+	2+ 3- 5+ 7-  0 -4  0 -4
Curve Equation t Generators 6090i1 [1,0,1,-5589,160336] 6 [-82:303:1] 6090i2 [1,0,1,-5489,166376] 6 [-39:586:1] 6090i3 [1,0,1,-8004,8002] 2 [11645:27907:125] 6090i4 [1,0,1,31996,72002] 2 [129:2455:1]
6090j (4 curves)	0	2+ 3- 5+ 7- 29-	2+ 3- 5+ 7-  0 -4  6  2
Curve Equation t 6090j1 [1,0,1,-111364,-13543474] 6 6090j2 [1,0,1,85466,-56216218] 6 6090j3 [1,0,1,-8884879,-10194287998] 2 6090j4 [1,0,1,-8883799,-10196889934] 2
6090k (2 curves)	0	2+ 3- 5+ 7- 29-	2+ 3- 5+ 7-  3  2  3 -1
Curve Equation t 6090k1 [1,0,1,-10154,430652] 3 6090k2 [1,0,1,64231,-721924] 1
6090l (1 curve)	0	2+ 3- 5+ 7- 29-	2+ 3- 5+ 7-  5  1 -4 -3
Curve Equation t 6090l1 [1,0,1,146,4256] 1
6090m (1 curve)	1	2+ 3- 5- 7+ 29+	2+ 3- 5- 7+  1 -1  4 -7
Curve Equation t Generators 6090m1 [1,0,1,-148,956] 1 [10:17:1]
6090n (4 curves)	1	2+ 3- 5- 7+ 29+	2+ 3- 5- 7+ -4 -2  6  4
Curve Equation t Generators 6090n1 [1,0,1,-148,578] 2 [-11:35:1] 6090n2 [1,0,1,-648,-5822] 4 [-16:30:1] 6090n3 [1,0,1,-10098,-391382] 2 [-58:30:1] 6090n4 [1,0,1,802,-27862] 2 [42:262:1]
6090o (2 curves)	1	2+ 3- 5- 7+ 29+	2+ 3- 5- 7+ -4  4 -6 -2
Curve Equation t Generators 6090o1 [1,0,1,-112148803,-456967188802] 2 [-6026:8525:1] 6090o2 [1,0,1,-94454083,-606020432194] 2 [12940:575342:1]
6090p (2 curves)	0	2+ 3- 5- 7- 29+	2+ 3- 5- 7-  3  2  3 -7
Curve Equation t 6090p1 [1,0,1,-8,56] 3 6090p2 [1,0,1,67,-1504] 1
6090q (1 curve)	0	2- 3+ 5+ 7+ 29+	2- 3+ 5+ 7+ -5  2 -3  5
Curve Equation t 6090q1 [1,1,1,-727276,-239041651] 1
6090r (2 curves)	1	2- 3+ 5+ 7+ 29-	2- 3+ 5+ 7+  4  4 -6 -6
Curve Equation t Generators 6090r1 [1,1,1,-116,-331] 2 [-7:17:1] 6090r2 [1,1,1,364,-1867] 2 [17:89:1]
6090s (4 curves)	1	2- 3+ 5+ 7+ 29-	2- 3+ 5+ 7+  4 -6 -2  4
Curve Equation t Generators 6090s1 [1,1,1,22254,3371679] 4 [-71:1235:1] 6090s2 [1,1,1,-246866,41909663] 4 [119:3713:1] 6090s3 [1,1,1,-971866,-325230337] 2 [1727:55269:1] 6090s4 [1,1,1,-3827786,2880863039] 2 [1163:1387:1]
6090t (1 curve)	0	2- 3+ 5+ 7- 29-	2- 3+ 5+ 7-  3  5 -2  7
Curve Equation t 6090t1 [1,1,1,-5164901,4515814973] 1
6090u (2 curves)	1	2- 3+ 5- 7+ 29+	2- 3+ 5- 7+  0 -4 -2 -2
Curve Equation t Generators 6090u1 [1,1,1,-6605,196355] 2 [35:80:1] 6090u2 [1,1,1,3115,736787] 2 [-43:746:1]
6090v (1 curve)	1	2- 3+ 5- 7+ 29+	2- 3+ 5- 7+  3 -1 -2 -5
Curve Equation t Generators 6090v1 [1,1,1,15,87] 1 [-3:6:1]
6090w (1 curve)	1	2- 3+ 5- 7- 29-	2- 3+ 5- 7- -5  1 -4 -1
Curve Equation t Generators 6090w1 [1,1,1,1275,1035] 1 [63:-612:1]
6090x (2 curves)	0	2- 3- 5+ 7- 29+	2- 3- 5+ 7-  3  5  0  5
Curve Equation t 6090x1 [1,0,0,-1791,29025] 3 6090x2 [1,0,0,-1281,46011] 1
6090y (2 curves)	0	2- 3- 5- 7+ 29+	2- 3- 5- 7+ -4  4  4  0
Curve Equation t 6090y1 [1,0,0,-615,5817] 2 6090y2 [1,0,0,-515,7797] 2
6090z (1 curve)	1	2- 3- 5- 7+ 29-	2- 3- 5- 7+ -1 -5  0 -7
Curve Equation t Generators 6090z1 [1,0,0,112855,-14247975] 1 [940:-30845:1]
6090ba (6 curves)	1	2- 3- 5- 7+ 29-	2- 3- 5- 7+ -4 -2 -6 -4
Curve Equation t Generators 6090ba1 [1,0,0,-1175,24297] 4 [58:361:1] 6090ba2 [1,0,0,-21655,1224425] 8 [-58:1541:1] 6090ba3 [1,0,0,-24535,877097] 4 [-136:1373:1] 6090ba4 [1,0,0,-346455,78461865] 4 [396:1647:1] 6090ba5 [1,0,0,-171535,-26729503] 2 [1624:62263:1] 6090ba6 [1,0,0,76385,6266225] 2 [-20:2185:1]
6090bb (1 curve)	1	2- 3- 5- 7- 29+	2- 3- 5- 7- -5 -7 -6  1
Curve Equation t Generators 6090bb1 [1,0,0,-10280,409152] 1 [304:-5192:1]
6090bc (4 curves)	0	2- 3- 5- 7- 29-	2- 3- 5- 7- -4  2  2 -8
Curve Equation t 6090bc1 [1,0,0,-160,752] 4 6090bc2 [1,0,0,-340,-1300] 4 6090bc3 [1,0,0,-4690,-123970] 2 6090bc4 [1,0,0,1130,-9238] 2

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