Cremona's table of elliptic curves

23715 = 3² · 5 · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
23715a (2 curves)	1	3+ 5+ 17- 31-	1 3+ 5+  2 -2  4 17- -4
Curve Equation t Generators 23715a1 [1,-1,0,-2985,-207784] 2 [6097192:28881900:68921] 23715a2 [1,-1,0,-74130,-7734925] 2 [1489792149326:-51566600306151:1211355496]
23715b (1 curve)	1	3+ 5+ 17- 31-	1 3+ 5+ -4 -5  1 17- -4
Curve Equation t Generators 23715b1 [1,-1,0,-19050,1016801] 1 [80:-39:1]
23715c (2 curves)	1	3+ 5- 17+ 31-	-1 3+ 5-  2  2  4 17+ -4
Curve Equation t Generators 23715c1 [1,-1,1,-332,7806] 2 [6:-81:1] 23715c2 [1,-1,1,-8237,289224] 2 [-43:771:1]
23715d (1 curve)	1	3+ 5- 17+ 31-	-1 3+ 5- -4  5  1 17+ -4
Curve Equation t Generators 23715d1 [1,-1,1,-2117,-36954] 1 [54:36:1]
23715e (1 curve)	0	3- 5+ 17+ 31+	1 3- 5+ -1  3 -1 17+  5
Curve Equation t 23715e1 [1,-1,0,45,-324] 1
23715f (1 curve)	2	3- 5+ 17+ 31+	1 3- 5+ -2 -3 -3 17+  2
Curve Equation t Generators 23715f1 [1,-1,0,45,-14] 1 [2:8:1]&[70:217:8]
23715g (1 curve)	2	3- 5+ 17- 31-	-1 3- 5+ -2 -1 -5 17-  2
Curve Equation t Generators 23715g1 [1,-1,1,-42863,3430392] 1 [156:-801:1]&[122:15:1]
23715h (1 curve)	1	3- 5- 17+ 31+	1 3- 5-  2  6 -1 17+  2
Curve Equation t Generators 23715h1 [1,-1,0,-8109,279990] 1 [-14:632:1]
23715i (1 curve)	0	3- 5- 17+ 31-	-1 3- 5-  2  2  7 17+  2
Curve Equation t 23715i1 [1,-1,1,-32,24] 1
23715j (1 curve)	2	3- 5- 17+ 31-	-1 3- 5- -2 -5 -1 17+ -6
Curve Equation t Generators 23715j1 [1,-1,1,-2822,-273954] 1 [958:7887:8]&[84:234:1]
23715k (1 curve)	0	3- 5- 17+ 31-	-1 3- 5-  5  5 -5 17+ -7
Curve Equation t 23715k1 [1,-1,1,-66632,-6895146] 1
23715l (2 curves)	0	3- 5- 17- 31+	1 3- 5-  2  0  0 17-  8
Curve Equation t 23715l1 [1,-1,0,-25119,-1895792] 2 23715l2 [1,-1,0,-428274,-107764295] 2

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

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