Cremona's table of elliptic curves

1815 = 3 · 5 · 11²

Class	r	Atkin-Lehner	Eigenvalues
1815a (8 curves)	1	3+ 5- 11-	1 3+ 5-  0 11-  2 -2 -4
Curve Equation t Generators 1815a1 [1,1,0,-2,-249] 2 [3850:10443:343] 1815a2 [1,1,0,-607,-5936] 4 [48:256:1] 1815a3 [1,1,0,-9682,-370751] 2 [1110:7369:8] 1815a4 [1,1,0,-1212,7011] 4 [42:159:1] 1815a5 [1,1,0,-16337,796536] 4 [1566:17367:8] 1815a6 [1,1,0,4233,58194] 2 [18:366:1] 1815a7 [1,1,0,-261362,51320691] 2 [270:591:1] 1815a8 [1,1,0,-13312,1104481] 2 [41226:488797:216]
1815b (2 curves)	0	3- 5+ 11+	1 3- 5+  2 11+ -4  6  6
Curve Equation t 1815b1 [1,0,1,-14,-13] 2 1815b2 [1,0,1,41,-79] 2
1815c (2 curves)	0	3- 5+ 11+	-1 3- 5+ -2 11+  4 -6 -6
Curve Equation t 1815c1 [1,0,0,-1636,15335] 2 1815c2 [1,0,0,5019,109836] 2
1815d (2 curves)	1	3- 5+ 11-	0 3- 5+  1 11- -2 -6  7
Curve Equation t Generators 1815d1 [0,1,1,-51,380] 1 [-6:22:1] 1815d2 [0,1,1,-5991,176501] 1 [27:187:1]
1815e (2 curves)	1	3- 5+ 11-	0 3- 5+ -1 11-  2  6 -7
Curve Equation t Generators 1815e1 [0,1,1,-6211,-530909] 3 [107:202:1] 1815e2 [0,1,1,-724951,-237822920] 1 [8842:141371:8]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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