Cremona's table of elliptic curves

2475 = 3² · 5² · 11

Class	r	Atkin-Lehner	Eigenvalues
2475a (2 curves)	1	3+ 5+ 11+	1 3+ 5+  2 11+  2 -2 -6
Curve Equation t Generators 2475a1 [1,-1,0,-42,-9] 2 [-2:9:1] 2475a2 [1,-1,0,-417,3366] 2 [-6:78:1]
2475b (1 curve)	1	3+ 5+ 11+	-1 3+ 5+  3 11+ -2 -3 -1
Curve Equation t Generators 2475b1 [1,-1,1,-1055,-70928] 1 [88:671:1]
2475c (1 curve)	0	3+ 5+ 11-	1 3+ 5+  3 11- -2  3 -1
Curve Equation t 2475c1 [1,-1,0,-117,2666] 1
2475d (2 curves)	0	3+ 5+ 11-	-1 3+ 5+  2 11-  2  2 -6
Curve Equation t 2475d1 [1,-1,1,-380,622] 2 2475d2 [1,-1,1,-3755,-87128] 2
2475e (1 curve)	0	3+ 5- 11+	1 3+ 5- -3 11+  2  3 -1
Curve Equation t 2475e1 [1,-1,0,-42,-559] 1
2475f (1 curve)	1	3+ 5- 11-	-1 3+ 5- -3 11-  2 -3 -1
Curve Equation t Generators 2475f1 [1,-1,1,-5,22] 1 [4:-10:1]
2475g (4 curves)	0	3- 5+ 11+	1 3- 5+ -4 11+  2 -2  0
Curve Equation t 2475g1 [1,-1,0,-1467,21816] 2 2475g2 [1,-1,0,-2592,-15309] 4 2475g3 [1,-1,0,-32967,-2293434] 2 2475g4 [1,-1,0,9783,-126684] 2
2475h (3 curves)	0	3- 5+ 11+	-2 3- 5+  2 11+ -4 -2  0
Curve Equation t 2475h1 [0,0,1,-75,-594] 1 2475h2 [0,0,1,-2325,78156] 1 2475h3 [0,0,1,-1759575,898379406] 1
2475i (2 curves)	1	3- 5+ 11-	0 3- 5+  1 11-  1 -6 -7
Curve Equation t Generators 2475i1 [0,0,1,-210,-1229] 1 [31:148:1] 2475i2 [0,0,1,1140,-2174] 1 [4:49:1]
2475j (4 curves)	1	3- 5+ 11-	1 3- 5+  0 11- -2  6 -4
Curve Equation t Generators 2475j1 [1,-1,0,183,-784] 2 [68:534:1] 2475j2 [1,-1,0,-942,-6409] 4 [-10:49:1] 2475j3 [1,-1,0,-13317,-588034] 2 [-530:363:8] 2475j4 [1,-1,0,-6567,201716] 2 [-16:558:1]
2475k (2 curves)	0	3- 5- 11-	0 3- 5- -1 11- -1  6 -7
Curve Equation t 2475k1 [0,0,1,-5250,-153594] 1 2475k2 [0,0,1,28500,-271719] 3

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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