Cremona's table of elliptic curves

40040 = 2³ · 5 · 7 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
40040a (4 curves)	0	2+ 5+ 7+ 11+ 13-	2+  0 5+ 7+ 11+ 13-  2 -4
Curve Equation t 40040a1 [0,0,0,-698,6953] 4 40040a2 [0,0,0,-1543,-13158] 4 40040a3 [0,0,0,4957,-95058] 2 40040a4 [0,0,0,-21563,-1218362] 2
40040b (2 curves)	0	2+ 5+ 7- 11+ 13+	2+ -2 5+ 7- 11+ 13+ -6 -2
Curve Equation t 40040b1 [0,1,0,8304,173680] 2 40040b2 [0,1,0,-39016,1460784] 2
40040c (2 curves)	0	2+ 5- 7+ 11+ 13+	2+  0 5- 7+ 11+ 13+  2  2
Curve Equation t 40040c1 [0,0,0,-5927,177466] 2 40040c2 [0,0,0,-95107,11289294] 2
40040d (2 curves)	0	2+ 5- 7+ 11+ 13+	2+  2 5- 7+ 11+ 13+ -2 -8
Curve Equation t 40040d1 [0,-1,0,-320,2300] 2 40040d2 [0,-1,0,-120,4940] 2
40040e (2 curves)	0	2+ 5- 7+ 11- 13-	2+ -2 5- 7+ 11- 13-  6  0
Curve Equation t 40040e1 [0,1,0,-800800,275558448] 2 40040e2 [0,1,0,-795800,279174448] 2
40040f (4 curves)	0	2- 5+ 7+ 11+ 13+	2-  0 5+ 7+ 11+ 13+  6  0
Curve Equation t 40040f1 [0,0,0,-17183,-860382] 2 40040f2 [0,0,0,-29683,557118] 4 40040f3 [0,0,0,113317,4360918] 2 40040f4 [0,0,0,-372683,87473318] 2
40040g (1 curve)	0	2- 5+ 7+ 11+ 13+	2- -1 5+ 7+ 11+ 13+  2 -2
Curve Equation t 40040g1 [0,-1,0,-1776,-28724] 1
40040h (1 curve)	1	2- 5+ 7+ 11+ 13-	2-  0 5+ 7+ 11+ 13- -3 -1
Curve Equation t Generators 40040h1 [0,0,0,-1028,13652] 1 [4:98:1]
40040i (2 curves)	1	2- 5+ 7+ 11+ 13-	2-  2 5+ 7+ 11+ 13- -6  6
Curve Equation t Generators 40040i1 [0,-1,0,2184,-33124] 2 [24492:37765:1728] 40040i2 [0,-1,0,-11536,-291060] 2 [954:975:8]
40040j (2 curves)	1	2- 5+ 7+ 11+ 13-	2- -2 5+ 7+ 11+ 13- -2  2
Curve Equation t Generators 40040j1 [0,1,0,2908665144,473104546086400] 2 [18559140616673225632520656059048:7899832288064671537808351426567293:140611510902821352110295552] 40040j2 [0,1,0,-76184404576,7736948794715424] 2 [4487023463472859449:3090361931618361562500:7704904621751]
40040k (2 curves)	1	2- 5+ 7+ 11+ 13-	2- -2 5+ 7+ 11+ 13-  6  6
Curve Equation t Generators 40040k1 [0,1,0,-2696,85504] 2 [27:182:1] 40040k2 [0,1,0,-50016,4287520] 2 [131:26:1]
40040l (2 curves)	0	2- 5+ 7- 11- 13+	2- -2 5+ 7- 11- 13+ -2 -8
Curve Equation t 40040l1 [0,1,0,-48056,-3555200] 2 40040l2 [0,1,0,76944,-18855200] 2
40040m (2 curves)	1	2- 5+ 7- 11- 13-	2-  0 5+ 7- 11- 13- -2 -2
Curve Equation t Generators 40040m1 [0,0,0,337,-1038] 2 [17:98:1] 40040m2 [0,0,0,-1483,-8682] 2 [43:84:1]
40040n (2 curves)	1	2- 5- 7+ 11+ 13+	2-  2 5- 7+ 11+ 13+  0  6
Curve Equation t Generators 40040n1 [0,-1,0,-110360,8251100] 2 [61:1320:1] 40040n2 [0,-1,0,-782640,-260391988] 2 [-1810965:7377128:3375]
40040o (4 curves)	0	2- 5- 7+ 11+ 13-	2-  0 5- 7+ 11+ 13-  2  4
Curve Equation t 40040o1 [0,0,0,673,674] 4 40040o2 [0,0,0,-2707,5406] 4 40040o3 [0,0,0,-28187,-1813866] 2 40040o4 [0,0,0,-31307,2127526] 2
40040p (4 curves)	0	2- 5- 7+ 11+ 13-	2-  0 5- 7+ 11+ 13- -6 -4
Curve Equation t 40040p1 [0,0,0,-21167,-1122574] 4 40040p2 [0,0,0,-333667,-74185074] 4 40040p3 [0,0,0,-328667,-76516074] 2 40040p4 [0,0,0,-5338667,-4747854074] 2
40040q (2 curves)	0	2- 5- 7+ 11- 13+	2- -2 5- 7+ 11- 13+ -4  2
Curve Equation t 40040q1 [0,1,0,-443080,113372160] 2 40040q2 [0,1,0,-443360,113221408] 2
40040r (2 curves)	0	2- 5- 7- 11+ 13+	2-  2 5- 7- 11+ 13+ -6  6
Curve Equation t 40040r1 [0,-1,0,-41720,4134812] 2 40040r2 [0,-1,0,-714000,232441100] 2
40040s (4 curves)	0	2- 5- 7- 11- 13-	2-  0 5- 7- 11- 13- -2  8
Curve Equation t 40040s1 [0,0,0,-2687,53506] 4 40040s2 [0,0,0,-3667,10974] 4 40040s3 [0,0,0,14533,87414] 2 40040s4 [0,0,0,-37547,-2787514] 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
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