Cremona's table of elliptic curves

13065 = 3 · 5 · 13 · 67

Class	r	Atkin-Lehner	Eigenvalues
13065a (4 curves)	1	3+ 5+ 13+ 67+	1 3+ 5+  0  0 13+  2  4
Curve Equation t Generators 13065a1 [1,1,0,-52988,4660467] 2 [-578:23083:8] 13065a2 [1,1,0,-75433,301648] 4 [-18262634:-490337885:195112] 13065a3 [1,1,0,-811428,-280701243] 2 [-132055202443459074:135011828582644791:266120676714248] 13065a4 [1,1,0,301442,2789023] 2 [922673017179786:-31479397951530835:1359515246552]
13065b (1 curve)	1	3+ 5+ 13+ 67+	1 3+ 5+  3  0 13+ -4  1
Curve Equation t Generators 13065b1 [1,1,0,-29603,-1972818] 1 [-490178:245290:4913]
13065c (1 curve)	1	3+ 5+ 13+ 67+	1 3+ 5+  3 -3 13+  5  1
Curve Equation t Generators 13065c1 [1,1,0,-2758,102073] 1 [528:11827:1]
13065d (1 curve)	1	3+ 5+ 13+ 67+	-2 3+ 5+  3  3 13+ -1 -8
Curve Equation t Generators 13065d1 [0,-1,1,174,2732] 1 [-7:33:1]
13065e (1 curve)	1	3+ 5+ 13- 67-	1 3+ 5+ -3 -3 13-  3 -7
Curve Equation t Generators 13065e1 [1,1,0,7,18] 1 [-2:2:1]
13065f (1 curve)	0	3+ 5- 13+ 67+	0 3+ 5-  1 -1 13+ -3 -8
Curve Equation t 13065f1 [0,-1,1,-255,-98824] 1
13065g (2 curves)	0	3+ 5- 13+ 67+	1 3+ 5-  0  6 13+ -4  4
Curve Equation t 13065g1 [1,1,0,-2022,44631] 2 13065g2 [1,1,0,-34977,2503074] 2
13065h (1 curve)	0	3+ 5- 13+ 67+	1 3+ 5-  3  0 13+  8  1
Curve Equation t 13065h1 [1,1,0,-29757,1420614] 1
13065i (1 curve)	1	3+ 5- 13- 67+	1 3+ 5- -1  0 13-  0 -5
Curve Equation t Generators 13065i1 [1,1,0,-12,9] 1 [0:3:1]
13065j (4 curves)	0	3+ 5- 13- 67-	-1 3+ 5-  0  0 13-  6 -4
Curve Equation t 13065j1 [1,1,1,-2450,-47698] 2 13065j2 [1,1,1,-2455,-47500] 4 13065j3 [1,1,1,-4210,26912] 4 13065j4 [1,1,1,-780,-109140] 2
13065k (1 curve)	2	3+ 5- 13- 67-	-2 3+ 5- -4 -2 13- -5  5
Curve Equation t Generators 13065k1 [0,-1,1,60,1118] 1 [-6:22:1]&[-1:32:1]
13065l (1 curve)	1	3- 5+ 13+ 67-	-1 3- 5+  5 -4 13+ -4  3
Curve Equation t Generators 13065l1 [1,0,0,-666961,-208298290] 1 [-451:1130:1]
13065m (1 curve)	1	3- 5- 13+ 67+	-2 3- 5- -1  5 13+  5  0
Curve Equation t Generators 13065m1 [0,1,1,-18650,974126] 1 [58:301:1]
13065n (3 curves)	1	3- 5- 13- 67-	0 3- 5- -1 -3 13- -3  2
Curve Equation t Generators 13065n1 [0,1,1,32155,-506869] 3 [135:2512:1] 13065n2 [0,1,1,-507845,-144933244] 3 [838:4321:1] 13065n3 [0,1,1,-41582195,-103220879899] 1 [67674:3102833:8]
13065o (1 curve)	1	3- 5- 13- 67-	0 3- 5- -5  3 13-  3  0
Curve Equation t Generators 13065o1 [0,1,1,-135,-30436] 1 [66:502:1]
13065p (1 curve)	1	3- 5- 13- 67-	-1 3- 5- -3  1 13- -1  5
Curve Equation t Generators 13065p1 [1,0,0,-8565,307842] 1 [89:458:1]
13065q (1 curve)	1	3- 5- 13- 67-	2 3- 5-  0 -2 13- -1 -7
Curve Equation t Generators 13065q1 [0,1,1,9793160,4597962931] 1 [82810:8818871:8]

Data from Elliptic Curve Data by J. E. Cremona.
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