Cremona's table of elliptic curves

13640 = 2³ · 5 · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
13640a (2 curves)	1	2+ 5+ 11+ 31+	2+  0 5+  0 11+ -6  2  2
Curve Equation t Generators 13640a1 [0,0,0,-23,-182] 2 [286:4836:1] 13640a2 [0,0,0,-643,-6258] 2 [31:60:1]
13640b (1 curve)	1	2+ 5+ 11+ 31+	2+  0 5+  3 11+  0  5  2
Curve Equation t Generators 13640b1 [0,0,0,-468803,123551198] 1 [-26:11650:1]
13640c (2 curves)	1	2+ 5+ 11+ 31+	2+  2 5+  0 11+  0  0 -4
Curve Equation t Generators 13640c1 [0,-1,0,-499751,60077876] 2 [-96534889:-1569070533:148877] 13640c2 [0,-1,0,1769604,452222420] 2 [-28941123335081694:-8829600289252701632:475812502402509]
13640d (4 curves)	1	2+ 5- 11- 31+	2+  0 5-  0 11-  2 -2  8
Curve Equation t Generators 13640d1 [0,0,0,-122,-511] 2 [13:10:1] 13640d2 [0,0,0,-247,714] 4 [1378:51150:1] 13640d3 [0,0,0,-3347,74494] 2 [-65:132:1] 13640d4 [0,0,0,853,5334] 2 [172230:6394494:125]
13640e (2 curves)	1	2- 5+ 11+ 31-	2-  0 5+ -2 11+  0  0 -4
Curve Equation t Generators 13640e1 [0,0,0,-1598,-24587] 2 [58:279:1] 13640e2 [0,0,0,-1543,-26358] 2 [77:558:1]
13640f (1 curve)	1	2- 5+ 11+ 31-	2- -3 5+  4 11+ -6 -3  5
Curve Equation t Generators 13640f1 [0,0,0,692,28132] 1 [24:242:1]
13640g (2 curves)	1	2- 5- 11+ 31+	2- -2 5-  2 11+ -2 -6  0
Curve Equation t Generators 13640g1 [0,1,0,-115,438] 2 [7:5:1] 13640g2 [0,1,0,-140,208] 2 [-2:22:1]
13640h (2 curves)	0	2- 5- 11+ 31-	2-  2 5-  2 11+  6  2 -4
Curve Equation t 13640h1 [0,-1,0,-115,492] 2 13640h2 [0,-1,0,-1820,30500] 2
13640i (2 curves)	2	2- 5- 11- 31+	2- -2 5- -2 11- -2 -6 -4
Curve Equation t Generators 13640i1 [0,1,0,-155,-650] 2 [-6:10:1]&[-5:5:1] 13640i2 [0,1,0,-780,7600] 2 [-30:70:1]&[-12:124:1]
13640j (2 curves)	1	2- 5- 11- 31-	2- -2 5-  2 11-  6  2  0
Curve Equation t Generators 13640j1 [0,1,0,-1155,14278] 2 [-9:155:1] 13640j2 [0,1,0,-2860,-39600] 2 [-20:100:1]

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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