Cremona's table of elliptic curves

35685 = 3² · 5 · 13 · 61

Class	r	Atkin-Lehner	Eigenvalues
35685a (1 curve)	1	3+ 5+ 13- 61-	-2 3+ 5+ -5 -4 13- -4  7
Curve Equation t Generators 35685a1 [0,0,1,147,-272] 1 [4:-20:1]
35685b (1 curve)	0	3+ 5- 13- 61-	2 3+ 5- -5  4 13-  4  7
Curve Equation t 35685b1 [0,0,1,1323,7337] 1
35685c (2 curves)	1	3- 5+ 13- 61+	1 3- 5+  0  6 13-  4  4
Curve Equation t Generators 35685c1 [1,-1,0,-195,-784] 2 [20788:363475:64] 35685c2 [1,-1,0,-2940,-60625] 2 [70:235:1]
35685d (2 curves)	1	3- 5+ 13- 61+	-1 3- 5+  2 -2 13- -6  4
Curve Equation t Generators 35685d1 [1,-1,1,292,3422] 2 [0:58:1] 35685d2 [1,-1,1,-2453,39656] 2 [-30:307:1]
35685e (2 curves)	1	3- 5+ 13- 61+	-1 3- 5+  4  2 13-  0  0
Curve Equation t Generators 35685e1 [1,-1,1,-293,276] 2 [18:15:1] 35685e2 [1,-1,1,-3038,-63408] 2 [-30:21:1]
35685f (4 curves)	0	3- 5+ 13- 61-	1 3- 5+  4 -4 13-  2  4
Curve Equation t 35685f1 [1,-1,0,29970,1059151] 2 35685f2 [1,-1,0,-137475,9130000] 4 35685f3 [1,-1,0,-1100970,-438124379] 2 35685f4 [1,-1,0,-1853100,970909375] 2
35685g (4 curves)	0	3- 5+ 13- 61-	1 3- 5+ -4  4 13-  2 -4
Curve Equation t 35685g1 [1,-1,0,-10980,-465125] 2 35685g2 [1,-1,0,-178425,-28964264] 4 35685g3 [1,-1,0,-181170,-28024925] 2 35685g4 [1,-1,0,-2854800,-1855857839] 2
35685h (2 curves)	1	3- 5- 13+ 61+	1 3- 5-  4  2 13+  2  2
Curve Equation t Generators 35685h1 [1,-1,0,-40329,1826928] 2 [3412:197234:1] 35685h2 [1,-1,0,127116,12978765] 2 [-84:1347:1]
35685i (2 curves)	1	3- 5- 13+ 61+	1 3- 5- -4  0 13+  6 -2
Curve Equation t Generators 35685i1 [1,-1,0,-3474,-76545] 2 [70:105:1] 35685i2 [1,-1,0,171,-231822] 2 [142:1554:1]
35685j (2 curves)	1	3- 5- 13+ 61+	-1 3- 5- -4  0 13+ -2 -2
Curve Equation t Generators 35685j1 [1,-1,1,-627962,-191377776] 2 [1224:28928:1] 35685j2 [1,-1,1,-624317,-193712034] 2 [1464:44306:1]
35685k (1 curve)	0	3- 5- 13+ 61-	0 3- 5-  5  0 13+  2  5
Curve Equation t 35685k1 [0,0,1,-1863372,979033932] 1
35685l (2 curves)	0	3- 5- 13+ 61-	1 3- 5-  2  4 13+ -8  0
Curve Equation t 35685l1 [1,-1,0,-17023509,27039320640] 2 35685l2 [1,-1,0,-272377134,1730299070115] 2
35685m (2 curves)	0	3- 5- 13+ 61-	1 3- 5- -2  4 13+ -4 -8
Curve Equation t 35685m1 [1,-1,0,756,-334125] 2 35685m2 [1,-1,0,-67869,-6633900] 2
35685n (2 curves)	1	3- 5- 13- 61-	0 3- 5- -1  0 13- -6 -7
Curve Equation t Generators 35685n1 [0,0,1,888,92925] 1 [485:10705:1] 35685n2 [0,0,1,-130872,18228042] 3 [62:3217:1]
35685o (4 curves)	1	3- 5- 13- 61-	1 3- 5- -4 -4 13- -2 -4
Curve Equation t Generators 35685o1 [1,-1,0,351,-14720] 2 [238:1051:8] 35685o2 [1,-1,0,-7254,-223097] 4 [-46:131:1] 35685o3 [1,-1,0,-21879,973228] 2 [132:544:1] 35685o4 [1,-1,0,-114309,-14846810] 2 [3438:29531:8]

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

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