Cremona's table of elliptic curves

23690 = 2 · 5 · 23 · 103

Class	r	Atkin-Lehner	Eigenvalues
23690a (1 curve)	0	2+ 5+ 23+ 103-	2+  2 5+  2  5  5 -6 -6
Curve Equation t 23690a1 [1,1,0,-3,-37] 1
23690b (2 curves)	1	2+ 5+ 23- 103-	2+ -2 5+  2  0  2  3 -4
Curve Equation t Generators 23690b1 [1,0,1,-253124,48995922] 3 [205:2291:1] 23690b2 [1,0,1,-246339,51748286] 1 [-321:10048:1]
23690c (2 curves)	1	2+ 5+ 23- 103-	2+ -2 5+  2 -3 -7 -6  2
Curve Equation t Generators 23690c1 [1,0,1,-4034,123636] 3 [-210:3781:8] 23690c2 [1,0,1,30351,-1154428] 1 [198:3454:1]
23690d (1 curve)	2	2+ 5- 23- 103-	2+ -1 5- -2  0 -2 -4 -5
Curve Equation t Generators 23690d1 [1,1,0,-552,4924] 1 [3:56:1]&[-20:102:1]
23690e (2 curves)	1	2- 5+ 23+ 103-	2- -2 5+  0  4  6 -2 -6
Curve Equation t Generators 23690e1 [1,0,0,-466,2496] 2 [104:988:1] 23690e2 [1,0,0,-6716,211246] 2 [-442:5371:8]
23690f (1 curve)	1	2- 5+ 23- 103+	2-  0 5+  2 -3  1 -2  2
Curve Equation t Generators 23690f1 [1,-1,1,-541903,-174712169] 1 [883:5446:1]
23690g (2 curves)	1	2- 5+ 23- 103+	2-  0 5+ -4  0 -2  4  2
Curve Equation t Generators 23690g1 [1,-1,1,-43,107] 2 [-7:8:1] 23690g2 [1,-1,1,57,467] 2 [-5:8:1]
23690h (1 curve)	1	2- 5- 23- 103-	2-  2 5- -2 -5 -1  2  2
Curve Equation t Generators 23690h1 [1,1,1,-7090,-232745] 1 [163:1643:1]

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

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