Cremona's table of elliptic curves

35360 = 2⁵ · 5 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
35360a (2 curves)	0	2+ 5+ 13+ 17-	2+  2 5+ -2 -2 13+ 17-  8
Curve Equation t 35360a1 [0,-1,0,-95766,11438816] 2 35360a2 [0,-1,0,-95761,11440065] 2
35360b (2 curves)	0	2+ 5+ 13+ 17-	2+ -2 5+  2  2 13+ 17- -8
Curve Equation t 35360b1 [0,1,0,-95766,-11438816] 2 35360b2 [0,1,0,-95761,-11440065] 2
35360c (2 curves)	2	2+ 5+ 13- 17+	2+ -2 5+  0  0 13- 17+ -2
Curve Equation t Generators 35360c1 [0,1,0,-286,1764] 2 [-16:50:1]&[0:42:1] 35360c2 [0,1,0,-161,3439] 2 [7:-52:1]&[-6:65:1]
35360d (2 curves)	2	2+ 5- 13+ 17+	2+  0 5- -2 -2 13+ 17+ -2
Curve Equation t Generators 35360d1 [0,0,0,-337,-1284] 2 [-13:30:1]&[-8:30:1] 35360d2 [0,0,0,1108,-9376] 2 [10:52:1]&[13:85:1]
35360e (2 curves)	1	2+ 5- 13+ 17-	2+  2 5- -2  6 13+ 17-  4
Curve Equation t Generators 35360e1 [0,-1,0,-510,4400] 2 [-25:30:1] 35360e2 [0,-1,0,335,16737] 2 [24:195:1]
35360f (2 curves)	1	2+ 5- 13+ 17-	2+ -2 5-  2 -6 13+ 17- -4
Curve Equation t Generators 35360f1 [0,1,0,-510,-4400] 2 [-15:10:1] 35360f2 [0,1,0,335,-16737] 2 [41:260:1]
35360g (2 curves)	1	2+ 5- 13- 17+	2+  2 5- -2  0 13- 17+  4
Curve Equation t Generators 35360g1 [0,-1,0,-150,752] 2 [-1:30:1] 35360g2 [0,-1,0,-280,-600] 2 [186:561:8]
35360h (2 curves)	1	2+ 5- 13- 17+	2+ -2 5-  2  0 13- 17+ -4
Curve Equation t Generators 35360h1 [0,1,0,-150,-752] 2 [-7:2:1] 35360h2 [0,1,0,-280,600] 2 [-10:50:1]
35360i (2 curves)	1	2- 5+ 13- 17+	2-  2 5+  0  0 13- 17+  2
Curve Equation t Generators 35360i1 [0,-1,0,-286,-1764] 2 [35148:35425:1728] 35360i2 [0,-1,0,-161,-3439] 2 [458:3315:8]
35360j (2 curves)	1	2- 5- 13+ 17+	2-  0 5-  2  2 13+ 17+  2
Curve Equation t Generators 35360j1 [0,0,0,-337,1284] 2 [-12:60:1] 35360j2 [0,0,0,1108,9376] 2 [72:680:1]
35360k (4 curves)	1	2- 5- 13- 17-	2-  0 5-  0  4 13- 17-  0
Curve Equation t Generators 35360k1 [0,0,0,-9577,-360696] 4 [3531:21320:27] 35360k2 [0,0,0,-8732,-426944] 4 [202:2460:1] 35360k3 [0,0,0,-10427,-292866] 4 [7811310:46614212:59319] 35360k4 [0,0,0,-153227,-23086126] 2 [3018540:-122671549:1728]
35360l (4 curves)	1	2- 5- 13- 17-	2-  0 5-  0 -4 13- 17-  0
Curve Equation t Generators 35360l1 [0,0,0,-9577,360696] 4 [40:204:1] 35360l2 [0,0,0,-8732,426944] 4 [-22:780:1] 35360l3 [0,0,0,-10427,292866] 2 [30:84:1] 35360l4 [0,0,0,-153227,23086126] 4 [-399:4550:1]

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

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