Cremona's table of elliptic curves
Conductor 1309
1309 = 7 · 11 · 17
Isogeny classes of curves of conductor 1309
[newforms of level 1309]
Class
r
Atkin-Lehner
Eigenvalues
1309a
(1 curve)
0
7
+
11
+
17
-
2
3
1
7
+
11
+
-2
17
-
8
Curve
Equation
t
1309a1
[0,0,1,-406957,-99924251]
1
1309b
(1 curve)
2
7
+
11
+
17
-
-2
-1
-3
7
+
11
+
-6
17
-
-4
Curve
Equation
t
Generators
1309b1
[0,-1,1,-22,52]
1
[-5:3:1]&[-1:8:1]
1309c
(1 curve)
1
7
+
11
-
17
-
-1
0
1
7
+
11
-
1
17
-
-4
Curve
Equation
t
Generators
1309c1
[1,-1,1,-142,698]
1
[8:-10:1]
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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