Cremona's table of elliptic curves

18105 = 3 · 5 · 17 · 71

Class	r	Atkin-Lehner	Eigenvalues
18105a (1 curve)	1	3+ 5+ 17+ 71+	0 3+ 5+  3  2 -1 17+ -5
Curve Equation t Generators 18105a1 [0,-1,1,819,-86488] 1 [90:841:1]
18105b (1 curve)	0	3+ 5+ 17+ 71-	2 3+ 5+  2 -5  1 17+  1
Curve Equation t 18105b1 [0,-1,1,-5006,138107] 1
18105c (1 curve)	1	3+ 5+ 17- 71-	0 3+ 5+ -2  3 -1 17-  1
Curve Equation t Generators 18105c1 [0,-1,1,-3911,148796] 1 [-64:364:1]
18105d (1 curve)	0	3+ 5- 17+ 71+	2 3+ 5- -2  1  1 17+  1
Curve Equation t 18105d1 [0,-1,1,20,-9] 1
18105e (1 curve)	2	3+ 5- 17+ 71+	-2 3+ 5- -1  0 -5 17+ -5
Curve Equation t Generators 18105e1 [0,-1,1,-150,1406] 1 [-15:7:1]&[-10:42:1]
18105f (1 curve)	1	3- 5+ 17- 71+	-2 3- 5+ -2  1  7 17- -7
Curve Equation t Generators 18105f1 [0,1,1,-6686,-487684] 1 [259:3901:1]
18105g (2 curves)	1	3- 5- 17+ 71+	0 3- 5- -4  3 -1 17+ -7
Curve Equation t Generators 18105g1 [0,1,1,45,506] 3 [-6:7:1] 18105g2 [0,1,1,-405,-14029] 1 [282:1031:8]
18105h (1 curve)	1	3- 5- 17+ 71+	-2 3- 5- -3  0  5 17+  3
Curve Equation t Generators 18105h1 [0,1,1,-18060,941114] 1 [336:-5738:1]
18105i (1 curve)	0	3- 5- 17+ 71-	0 3- 5-  2 -1 -3 17+  1
Curve Equation t 18105i1 [0,1,1,-25,-59] 1
18105j (2 curves)	0	3- 5- 17+ 71-	0 3- 5-  5  6 -1 17+ -1
Curve Equation t 18105j1 [0,1,1,21565,2202614] 3 18105j2 [0,1,1,-202085,-74442241] 1
18105k (2 curves)	0	3- 5- 17- 71+	1 3- 5-  4  4  4 17- -4
Curve Equation t 18105k1 [1,0,1,302,1631] 2 18105k2 [1,0,1,-1573,14381] 2

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

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