Cremona's table of elliptic curves

6675 = 3 · 5² · 89

Class	r	Atkin-Lehner	Eigenvalues
6675a (2 curves)	1	3+ 5+ 89+	0 3+ 5+ -2  6 -2  0 -4
Curve Equation t Generators 6675a1 [0,-1,1,-83,443] 1 [7:12:1] 6675a2 [0,-1,1,667,-5932] 1 [22:137:1]
6675b (2 curves)	1	3+ 5+ 89+	-1 3+ 5+ -4  0 -4  6  2
Curve Equation t Generators 6675b1 [1,1,1,-3713,-88594] 2 [-36:22:1] 6675b2 [1,1,1,-3088,-118594] 2 [89:522:1]
6675c (1 curve)	1	3+ 5+ 89+	2 3+ 5+  2  6 -4 -6 -4
Curve Equation t Generators 6675c1 [0,-1,1,2,3] 1 [-6:3:8]
6675d (1 curve)	0	3+ 5+ 89-	0 3+ 5+ -2  2 -4 -6  6
Curve Equation t 6675d1 [0,-1,1,-833,-11557] 1
6675e (4 curves)	0	3+ 5+ 89-	1 3+ 5+  0  4  6  6  8
Curve Equation t 6675e1 [1,1,0,-625,4000] 2 6675e2 [1,1,0,-3750,-86625] 4 6675e3 [1,1,0,-59375,-5593500] 2 6675e4 [1,1,0,1875,-317250] 4
6675f (1 curve)	0	3+ 5+ 89-	-2 3+ 5+ -3  4 -3  0  5
Curve Equation t 6675f1 [0,-1,1,-302288,67038218] 1
6675g (1 curve)	1	3- 5+ 89-	0 3- 5+  2  2 -6 -4 -4
Curve Equation t Generators 6675g1 [0,1,1,-11033,780344] 1 [-92:1012:1]
6675h (1 curve)	1	3- 5- 89+	-2 3- 5- -2  6  4  6 -4
Curve Equation t Generators 6675h1 [0,1,1,42,494] 1 [8:37:1]
6675i (1 curve)	0	3- 5- 89-	0 3- 5-  2  2  4  6  6
Curve Equation t 6675i1 [0,1,1,-33,-106] 1
6675j (1 curve)	0	3- 5- 89-	2 3- 5-  3  4  3  0  5
Curve Equation t 6675j1 [0,1,1,-7557208,8364662869] 1

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

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