Cremona's table of elliptic curves

15405 = 3 · 5 · 13 · 79

Class	r	Atkin-Lehner	Eigenvalues
15405a (1 curve)	1	3+ 5+ 13- 79-	-2 3+ 5+ -1 -2 13-  6  4
Curve Equation t Generators 15405a1 [0,-1,1,-416,3422] 1 [26:97:1]
15405b (2 curves)	0	3+ 5- 13+ 79+	1 3+ 5-  0  0 13+  4 -6
Curve Equation t 15405b1 [1,1,0,578,22759] 2 15405b2 [1,1,0,-9297,317034] 2
15405c (2 curves)	1	3+ 5- 13+ 79-	-1 3+ 5-  2  0 13+ -6  0
Curve Equation t Generators 15405c1 [1,1,1,8090,-24310] 2 [8:198:1] 15405c2 [1,1,1,-32535,-235560] 2 [-27:803:1]
15405d (4 curves)	1	3+ 5- 13- 79+	-1 3+ 5-  0  0 13-  6  0
Curve Equation t Generators 15405d1 [1,1,1,80,80] 2 [120:560:27] 15405d2 [1,1,1,-325,242] 4 [30:121:1] 15405d3 [1,1,1,-3250,-72298] 2 [75:298:1] 15405d4 [1,1,1,-3880,91250] 4 [38:3:1]
15405e (2 curves)	1	3- 5+ 13+ 79-	-1 3- 5+ -4  0 13+ -4 -2
Curve Equation t Generators 15405e1 [1,0,0,-66,-16029] 2 [51:312:1] 15405e2 [1,0,0,-9941,-377454] 2 [-59:97:1]
15405f (2 curves)	1	3- 5+ 13- 79+	1 3- 5+  0  2 13-  0 -2
Curve Equation t Generators 15405f1 [1,0,1,-1014,12307] 2 [23:24:1] 15405f2 [1,0,1,-1409,1721] 2 [-9:121:1]
15405g (6 curves)	0	3- 5- 13- 79+	-1 3- 5-  0  4 13- -6  4
Curve Equation t 15405g1 [1,0,0,20475,1204632] 4 15405g2 [1,0,0,-122330,11572275] 8 15405g3 [1,0,0,-738335,-235199328] 4 15405g4 [1,0,0,-1791205,922444250] 4 15405g5 [1,0,0,-11691290,-15387517275] 2 15405g6 [1,0,0,358540,-873799953] 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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