Cremona's table of elliptic curves

15730 = 2 · 5 · 11² · 13

Class	r	Atkin-Lehner	Eigenvalues
15730a (2 curves)	1	2+ 5+ 11+ 13+	2+  0 5+  4 11+ 13+  2 -4
Curve Equation t Generators 15730a1 [1,-1,0,-15395,-848479] 2 [77875:889127:343] 15730a2 [1,-1,0,-257065,-50100825] 2 [1937293827:-41450300865:2352637]
15730b (1 curve)	0	2+ 5+ 11- 13+	2+ -1 5+ -1 11- 13+  5  3
Curve Equation t 15730b1 [1,1,0,-113258,-14719052] 1
15730c (1 curve)	2	2+ 5+ 11- 13+	2+ -1 5+ -4 11- 13+  3 -6
Curve Equation t Generators 15730c1 [1,1,0,-13,-7] 1 [-2:5:1]&[-1:3:1]
15730d (2 curves)	0	2+ 5+ 11- 13+	2+  2 5+ -4 11- 13+  6  0
Curve Equation t 15730d1 [1,1,0,1092507,-1517724787] 2 15730d2 [1,1,0,-15015013,-20521376883] 2
15730e (2 curves)	0	2+ 5+ 11- 13+	2+ -2 5+  4 11- 13+  0 -2
Curve Equation t 15730e1 [1,0,1,-14,-24] 1 15730e2 [1,0,1,96,152] 1
15730f (4 curves)	0	2+ 5+ 11- 13+	2+ -2 5+  4 11- 13+  6 -8
Curve Equation t 15730f1 [1,0,1,12581,12582] 2 15730f2 [1,0,1,-50339,88086] 2 15730f3 [1,0,1,-173759,29752446] 2 15730f4 [1,0,1,-2832129,1834254002] 2
15730g (1 curve)	1	2+ 5+ 11- 13-	2+ -1 5+  1 11- 13-  0  4
Curve Equation t Generators 15730g1 [1,1,0,-31583,-3409787] 1 [3438:199625:1]
15730h (1 curve)	1	2+ 5+ 11- 13-	2+ -1 5+ -4 11- 13-  5 -6
Curve Equation t Generators 15730h1 [1,1,0,-8210578,9052002128] 1 [1654:-822:1]
15730i (2 curves)	1	2+ 5+ 11- 13-	2+  2 5+  4 11- 13- -2 -6
Curve Equation t Generators 15730i1 [1,1,0,-101763,12450893] 2 [45282:1801111:27] 15730i2 [1,1,0,-92083,14927037] 2 [6666:540417:1]
15730j (4 curves)	1	2+ 5- 11- 13+	2+  0 5-  0 11- 13+ -2 -4
Curve Equation t Generators 15730j1 [1,-1,0,-6963149,-7128043675] 2 [146675544569426:154615337658200791:131872229] 15730j2 [1,-1,0,-111662029,-454129441947] 4 [18901539840540064737772467:19924034275713939496939281144:16993602388922484079] 15730j3 [1,-1,0,-1786592429,-29065625520827] 2 [5735720365399145310885225584111122055884830913:6042669388282631873901380701637698024410281496616:5155340486440226801813143600800696460021] 15730j4 [1,-1,0,-111913709,-451979239035] 2 [-401868276868278773:-3792412433944762291:66543366535667]
15730k (4 curves)	1	2+ 5- 11- 13+	2+  0 5-  0 11- 13+ -2  8
Curve Equation t Generators 15730k1 [1,-1,0,-809,3405] 2 [114:1119:1] 15730k2 [1,-1,0,-10489,415773] 4 [-63:939:1] 15730k3 [1,-1,0,-167789,26496113] 2 [509:8276:1] 15730k4 [1,-1,0,-8069,610825] 2 [36:587:1]
15730l (1 curve)	1	2+ 5- 11- 13+	2+ -1 5- -2 11- 13+ -1 -6
Curve Equation t Generators 15730l1 [1,1,0,-163352,-906176] 1 [-192:4936:1]
15730m (1 curve)	1	2+ 5- 11- 13+	2+ -1 5- -4 11- 13+ -1  6
Curve Equation t Generators 15730m1 [1,1,0,-1573332,-760059824] 1 [-728:764:1]
15730n (2 curves)	1	2+ 5- 11- 13+	2+  2 5- -4 11- 13+  2  0
Curve Equation t Generators 15730n1 [1,1,0,2418,42464] 2 [83:866:1] 15730n2 [1,1,0,-13312,379086] 2 [-93:954:1]
15730o (1 curve)	1	2+ 5- 11- 13+	2+ -3 5-  3 11- 13+  1  5
Curve Equation t Generators 15730o1 [1,-1,0,-369859,-176287787] 1 [1367:42574:1]
15730p (1 curve)	0	2+ 5- 11- 13-	2+  3 5-  1 11- 13-  3 -1
Curve Equation t 15730p1 [1,-1,0,-6859,-244645] 1
15730q (1 curve)	0	2+ 5- 11- 13-	2+  3 5- -2 11- 13- -3  2
Curve Equation t 15730q1 [1,-1,0,-500539,136399445] 1
15730r (2 curves)	1	2- 5+ 11+ 13-	2-  0 5+ -4 11+ 13- -2  4
Curve Equation t Generators 15730r1 [1,-1,1,-1862818,1134913981] 2 [-1499:24357:1] 15730r2 [1,-1,1,-31104888,66777512717] 2 [437886:101714495:8]
15730s (1 curve)	1	2- 5+ 11- 13+	2- -1 5+  1 11- 13+ -5 -3
Curve Equation t Generators 15730s1 [1,1,1,3204,-1187] 1 [127:1509:1]
15730t (1 curve)	1	2- 5+ 11- 13+	2- -1 5+ -1 11- 13+  0 -4
Curve Equation t Generators 15730t1 [1,1,1,-261,2443] 1 [-1:52:1]
15730u (1 curve)	1	2- 5+ 11- 13+	2- -1 5+  4 11- 13+ -5  6
Curve Equation t Generators 15730u1 [1,1,1,-67856,-6831747] 1 [-4941792:2454607:32768]
15730v (1 curve)	0	2- 5+ 11- 13-	2- -1 5+  4 11- 13- -3  6
Curve Equation t 15730v1 [1,1,1,-1636,1233] 1
15730w (2 curves)	0	2- 5+ 11- 13-	2- -2 5+ -4 11- 13-  0  2
Curve Equation t 15730w1 [1,0,0,-1636,29976] 3 15730w2 [1,0,0,11674,-190970] 1
15730x (3 curves)	0	2- 5- 11- 13+	2-  1 5-  1 11- 13+  3  7
Curve Equation t 15730x1 [1,0,0,-58990,-7763150] 1 15730x2 [1,0,0,470385,104570225] 1 15730x3 [1,0,0,-11287790,14738590340] 1
15730y (4 curves)	0	2- 5- 11- 13+	2- -2 5-  4 11- 13+  6 -2
Curve Equation t 15730y1 [1,0,0,-3935,-94775] 2 15730y2 [1,0,0,-1515,-209483] 2 15730y3 [1,0,0,-25110,1467940] 2 15730y4 [1,0,0,13610,5595492] 2
15730z (1 curve)	0	2- 5- 11- 13+	2-  3 5-  2 11- 13+  3 -2
Curve Equation t 15730z1 [1,-1,1,-4137,-101351] 1
15730ba (1 curve)	1	2- 5- 11- 13-	2- -1 5- -1 11- 13-  1 -3
Curve Equation t Generators 15730ba1 [1,1,1,-129448525,1352188669635] 1 [12183:1252308:1]
15730bb (1 curve)	1	2- 5- 11- 13-	2- -1 5-  2 11- 13-  1  6
Curve Equation t Generators 15730bb1 [1,1,1,-1350,67] 1 [-13:131:1]
15730bc (1 curve)	1	2- 5- 11- 13-	2- -1 5-  4 11- 13-  1 -6
Curve Equation t Generators 15730bc1 [1,1,1,-190373235,1010687759665] 1 [-4427:1331398:1]
15730bd (2 curves)	1	2- 5- 11- 13-	2-  2 5- -4 11- 13- -2  0
Curve Equation t Generators 15730bd1 [1,1,1,-16640,-856415] 2 [545:12069:1] 15730bd2 [1,1,1,-268320,-53608543] 2 [18147:217183:27]

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