Cremona's table of elliptic curves

1365 = 3 · 5 · 7 · 13

Class	r	Atkin-Lehner	Eigenvalues
1365a (4 curves)	0	3+ 5+ 7+ 13-	1 3+ 5+ 7+  0 13-  2 -4
Curve Equation t 1365a1 [1,1,0,-233,-1248] 2 1365a2 [1,1,0,-1078,12103] 4 1365a3 [1,1,0,-16873,836602] 2 1365a4 [1,1,0,1197,58968] 2
1365b (6 curves)	0	3+ 5- 7- 13-	-1 3+ 5- 7-  4 13-  2 -4
Curve Equation t 1365b1 [1,1,1,150,3942] 4 1365b2 [1,1,1,-2975,57692] 8 1365b3 [1,1,1,-9100,-265708] 4 1365b4 [1,1,1,-46850,3883592] 4 1365b5 [1,1,1,-136675,-19504018] 2 1365b6 [1,1,1,20475,-1602498] 2
1365c (4 curves)	0	3- 5+ 7+ 13+	1 3- 5+ 7+  4 13+  6  8
Curve Equation t 1365c1 [1,0,1,-29,11] 2 1365c2 [1,0,1,-274,-1753] 4 1365c3 [1,0,1,-4369,-111499] 2 1365c4 [1,0,1,-99,-3923] 2
1365d (4 curves)	1	3- 5+ 7- 13+	-1 3- 5+ 7- -4 13+  2  0
Curve Equation t Generators 1365d1 [1,0,0,-1021,-12520] 2 [-19:20:1] 1365d2 [1,0,0,-1866,10971] 4 [-39:177:1] 1365d3 [1,0,0,-24161,1442310] 2 [73:226:1] 1365d4 [1,0,0,6909,86436] 2 [0:294:1]
1365e (4 curves)	0	3- 5+ 7- 13-	1 3- 5+ 7-  0 13-  2  4
Curve Equation t 1365e1 [1,0,1,6,7] 2 1365e2 [1,0,1,-39,61] 4 1365e3 [1,0,1,-234,-1343] 2 1365e4 [1,0,1,-564,5101] 2
1365f (4 curves)	0	3- 5- 7+ 13-	1 3- 5- 7+  4 13- -2  4
Curve Equation t 1365f1 [1,0,1,-143,-667] 2 1365f2 [1,0,1,-148,-619] 4 1365f3 [1,0,1,-603,5023] 4 1365f4 [1,0,1,227,-3169] 2

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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