Cremona's table of elliptic curves

15990 = 2 · 3 · 5 · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
15990a (2 curves)	0	2+ 3+ 5+ 13+ 41-	2+ 3+ 5+ -2 -4 13+  2  8
Curve Equation t 15990a1 [1,1,0,-199583,-29925627] 2 15990a2 [1,1,0,325297,-160200843] 2
15990b (4 curves)	0	2+ 3+ 5+ 13+ 41-	2+ 3+ 5+  4  4 13+  6 -4
Curve Equation t 15990b1 [1,1,0,-43448,3063408] 2 15990b2 [1,1,0,-174668,-24991428] 4 15990b3 [1,1,0,-2705918,-1714347678] 2 15990b4 [1,1,0,257062,-128520282] 2
15990c (2 curves)	2	2+ 3+ 5+ 13- 41+	2+ 3+ 5+ -2 -4 13- -2  0
Curve Equation t Generators 15990c1 [1,1,0,-43,-83] 2 [-6:5:1]&[-3:7:1] 15990c2 [1,1,0,137,-407] 2 [4:13:1]&[6:23:1]
15990d (2 curves)	1	2+ 3+ 5+ 13- 41-	2+ 3+ 5+  4 -2 13-  6 -4
Curve Equation t Generators 15990d1 [1,1,0,87,3717] 2 [-13:31:1] 15990d2 [1,1,0,-3113,63237] 2 [-61:206:1]
15990e (1 curve)	1	2+ 3+ 5- 13+ 41-	2+ 3+ 5-  1  2 13+  2  5
Curve Equation t Generators 15990e1 [1,1,0,338,-73964] 1 [647:16154:1]
15990f (2 curves)	1	2+ 3+ 5- 13+ 41-	2+ 3+ 5- -2  0 13+ -4 -2
Curve Equation t Generators 15990f1 [1,1,0,-3967,217669] 2 [-57:541:1] 15990f2 [1,1,0,-83967,9321669] 2 [-237:4116:1]
15990g (4 curves)	1	2+ 3- 5+ 13+ 41-	2+ 3- 5+  0 -4 13+  6 -4
Curve Equation t Generators 15990g1 [1,0,1,-4519,116522] 2 [40:-7:1] 15990g2 [1,0,1,-4839,98986] 4 [-49:492:1] 15990g3 [1,0,1,-26159,-1546918] 2 [-90:328:1] 15990g4 [1,0,1,11361,623866] 2 [-4:762:1]
15990h (1 curve)	1	2+ 3- 5+ 13+ 41-	2+ 3- 5+ -3  6 13+  2 -5
Curve Equation t Generators 15990h1 [1,0,1,-44104,-3585898] 1 [15057636:250447658:35937]
15990i (4 curves)	1	2+ 3- 5+ 13- 41+	2+ 3- 5+  4 -4 13-  2 -4
Curve Equation t Generators 15990i1 [1,0,1,-104,182] 2 [-7:27:1] 15990i2 [1,0,1,-824,-9034] 4 [-16:18:1] 15990i3 [1,0,1,-13124,-579754] 2 [4422:32674:27] 15990i4 [1,0,1,-44,-25258] 2 [140:1578:1]
15990j (2 curves)	1	2+ 3- 5- 13+ 41+	2+ 3- 5- -2 -4 13+  0  8
Curve Equation t Generators 15990j1 [1,0,1,-11753,1339256] 2 [105:-1178:1] 15990j2 [1,0,1,-268003,53306756] 2 [-500:8147:1]
15990k (1 curve)	1	2+ 3- 5- 13+ 41+	2+ 3- 5- -5  2 13+  6 -1
Curve Equation t Generators 15990k1 [1,0,1,-68,-574] 1 [12:13:1]
15990l (2 curves)	0	2+ 3- 5- 13+ 41-	2+ 3- 5-  2  6 13+  4  2
Curve Equation t 15990l1 [1,0,1,-1303,-18202] 2 15990l2 [1,0,1,-1353,-16742] 2
15990m (2 curves)	0	2+ 3- 5- 13- 41+	2+ 3- 5- -4 -4 13-  2 -2
Curve Equation t 15990m1 [1,0,1,-273,-1772] 2 15990m2 [1,0,1,-4373,-111652] 2
15990n (2 curves)	1	2+ 3- 5- 13- 41-	2+ 3- 5- -2 -2 13- -4 -6
Curve Equation t Generators 15990n1 [1,0,1,-113568,-14490194] 2 [-190:582:1] 15990n2 [1,0,1,-238568,23109806] 2 [-360:8077:1]
15990o (2 curves)	0	2- 3+ 5+ 13- 41-	2- 3+ 5+ -2  4 13-  4  0
Curve Equation t 15990o1 [1,1,1,-546,-9621] 2 15990o2 [1,1,1,-10796,-436021] 2
15990p (1 curve)	0	2- 3+ 5- 13- 41+	2- 3+ 5- -3 -2 13-  6  7
Curve Equation t 15990p1 [1,1,1,218935,-120079195] 1
15990q (6 curves)	1	2- 3+ 5- 13- 41-	2- 3+ 5-  0 -4 13-  2 -4
Curve Equation t Generators 15990q1 [1,1,1,-3300,74085] 4 [-27:393:1] 15990q2 [1,1,1,-53300,4714085] 8 [223:1883:1] 15990q3 [1,1,1,-53800,4620485] 4 [-175:3039:1] 15990q4 [1,1,1,-852800,302767685] 4 [5062:30445:8] 15990q5 [1,1,1,-137850,-13467075] 2 [-1810:20827:8] 15990q6 [1,1,1,22250,16727645] 2 [11630:441327:8]
15990r (2 curves)	1	2- 3+ 5- 13- 41-	2- 3+ 5- -4 -2 13- -6  0
Curve Equation t Generators 15990r1 [1,1,1,20,77] 2 [1:9:1] 15990r2 [1,1,1,-180,717] 2 [-5:41:1]
15990s (1 curve)	0	2- 3- 5+ 13- 41+	2- 3- 5+  1 -6 13- -2  1
Curve Equation t 15990s1 [1,0,0,-7176,-234594] 1
15990t (2 curves)	1	2- 3- 5+ 13- 41-	2- 3- 5+  0 -4 13- -6  6
Curve Equation t Generators 15990t1 [1,0,0,6749,-408319] 2 [206:-3223:1] 15990t2 [1,0,0,-58851,-4646079] 2 [-180:441:1]
15990u (2 curves)	1	2- 3- 5+ 13- 41-	2- 3- 5+ -2 -2 13-  0  6
Curve Equation t Generators 15990u1 [1,0,0,-15106,-613180] 2 [-76:350:1] 15990u2 [1,0,0,-66306,5971140] 2 [-216:3306:1]
15990v (4 curves)	0	2- 3- 5- 13+ 41+	2- 3- 5-  0  4 13+ -6  8
Curve Equation t 15990v1 [1,0,0,95,4025] 2 15990v2 [1,0,0,-3285,69597] 4 15990v3 [1,0,0,-8615,-215025] 2 15990v4 [1,0,0,-52035,4564347] 2
15990w (4 curves)	1	2- 3- 5- 13+ 41-	2- 3- 5-  0 -4 13+  6 -4
Curve Equation t Generators 15990w1 [1,0,0,-10635,810225] 2 [120:-1185:1] 15990w2 [1,0,0,-210635,37170225] 4 [-140:8065:1] 15990w3 [1,0,0,-251635,21664025] 2 [-160:7685:1] 15990w4 [1,0,0,-3369635,2380516425] 2 [1060:-515:1]

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