Cremona's table of elliptic curves

15345 = 3² · 5 · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
15345a (6 curves)	0	3- 5+ 11+ 31+	1 3- 5+  0 11+ -2 -2 -4
Curve Equation t 15345a1 [1,-1,0,4455,-96800] 2 15345a2 [1,-1,0,-23670,-867425] 4 15345a3 [1,-1,0,-337545,-75381350] 2 15345a4 [1,-1,0,-159795,23989000] 4 15345a5 [1,-1,0,-2538270,1557153985] 2 15345a6 [1,-1,0,40680,80001715] 2
15345b (4 curves)	0	3- 5+ 11+ 31+	-1 3- 5+  0 11+  6 -2  0
Curve Equation t 15345b1 [1,-1,1,-563,2882] 2 15345b2 [1,-1,1,-4208,-102094] 4 15345b3 [1,-1,1,-66983,-6655804] 2 15345b4 [1,-1,1,247,-310588] 2
15345c (2 curves)	2	3- 5+ 11+ 31+	-1 3- 5+ -2 11+ -4 -6  2
Curve Equation t Generators 15345c1 [1,-1,1,-248,-894] 2 [-12:21:1]&[-10:27:1] 15345c2 [1,-1,1,-1643,25332] 2 [-34:219:1]&[2:147:1]
15345d (2 curves)	1	3- 5+ 11+ 31-	1 3- 5+ -2 11+ -4 -2  2
Curve Equation t Generators 15345d1 [1,-1,0,-1485,-21384] 2 [-20:14:1] 15345d2 [1,-1,0,-2880,26325] 2 [-20:285:1]
15345e (4 curves)	1	3- 5+ 11+ 31-	1 3- 5+ -4 11+ -6  6 -4
Curve Equation t Generators 15345e1 [1,-1,0,5625,-212000] 2 [156:2030:1] 15345e2 [1,-1,0,-37620,-2123429] 4 [13718:1599641:1] 15345e3 [1,-1,0,-560745,-161467304] 2 [109806:12789719:8] 15345e4 [1,-1,0,-206415,34370050] 2 [-22:6248:1]
15345f (2 curves)	1	3- 5+ 11- 31+	-1 3- 5+ -2 11-  4  6  4
Curve Equation t Generators 15345f1 [1,-1,1,247,776] 2 [6:46:1] 15345f2 [1,-1,1,-1148,7472] 2 [-18:157:1]
15345g (2 curves)	0	3- 5+ 11- 31-	0 3- 5+ -1 11-  2  6  2
Curve Equation t 15345g1 [0,0,1,222,-567] 1 15345g2 [0,0,1,-2478,57078] 3
15345h (4 curves)	0	3- 5+ 11- 31-	1 3- 5+  0 11-  6  6  0
Curve Equation t 15345h1 [1,-1,0,-2790,-62465] 2 15345h2 [1,-1,0,-46035,-3790184] 4 15345h3 [1,-1,0,-736560,-243126149] 2 15345h4 [1,-1,0,-47430,-3547175] 2
15345i (2 curves)	0	3- 5- 11+ 31-	1 3- 5-  2 11+  6  0 -4
Curve Equation t 15345i1 [1,-1,0,-1588959,771331288] 2 15345i2 [1,-1,0,-1588464,771835495] 2
15345j (1 curve)	1	3- 5- 11- 31-	0 3- 5-  3 11- -2 -2 -6
Curve Equation t Generators 15345j1 [0,0,1,-136632,-19451363] 1 [1087:33412:1]
15345k (2 curves)	1	3- 5- 11- 31-	-1 3- 5- -2 11-  2 -4  8
Curve Equation t Generators 15345k1 [1,-1,1,-752,8066] 2 [4:69:1] 15345k2 [1,-1,1,-257,18164] 2 [-6:142:1]
15345l (2 curves)	1	3- 5- 11- 31-	-1 3- 5-  4 11- -4 -4 -4
Curve Equation t Generators 15345l1 [1,-1,1,-8672,-395854] 2 [136:894:1] 15345l2 [1,-1,1,-149297,-22164604] 2 [-224:139:1]

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