Cremona's table of elliptic curves

6045 = 3 · 5 · 13 · 31

Class	r	Atkin-Lehner	Eigenvalues
6045a (1 curve)	0	3+ 5+ 13+ 31-	0 3+ 5+ -3 -3 13+ -1  6
Curve Equation t 6045a1 [0,-1,1,-99625001,-382750902343] 1
6045b (4 curves)	0	3+ 5+ 13+ 31-	1 3+ 5+  4 -4 13+ -6  4
Curve Equation t 6045b1 [1,1,0,-33,48] 2 6045b2 [1,1,0,-158,-777] 4 6045b3 [1,1,0,-2483,-48672] 2 6045b4 [1,1,0,167,-3182] 2
6045c (1 curve)	0	3+ 5+ 13+ 31-	-2 3+ 5+ -5  2 13+  6  4
Curve Equation t 6045c1 [0,-1,1,-6456,-183454] 1
6045d (1 curve)	1	3+ 5- 13+ 31-	-2 3+ 5-  2 -5 13+  4 -2
Curve Equation t Generators 6045d1 [0,-1,1,10,68] 1 [-1:7:1]
6045e (1 curve)	1	3- 5+ 13+ 31-	2 3- 5+  2 -1 13+ -4 -6
Curve Equation t Generators 6045e1 [0,1,1,-80613476,-280487278945] 1 [212042:32203571:8]
6045f (1 curve)	1	3- 5+ 13- 31+	0 3- 5+ -5  1 13-  5 -6
Curve Equation t Generators 6045f1 [0,1,1,-3621,-180439] 1 [159:1813:1]
6045g (4 curves)	1	3- 5+ 13- 31+	1 3- 5+  0  0 13- -2  4
Curve Equation t Generators 6045g1 [1,0,1,-234,871] 2 [8:14821:512] 6045g2 [1,0,1,-3359,74621] 4 [22:2031:8] 6045g3 [1,0,1,-53734,4789721] 4 [31794:43153:216] 6045g4 [1,0,1,-2984,92021] 2 [-37:408:1]
6045h (3 curves)	0	3- 5+ 13- 31-	0 3- 5+ -1 -3 13- -3  2
Curve Equation t 6045h1 [0,1,1,-3773731,2820401431] 3 6045h2 [0,1,1,-3758071,2844985660] 3 6045h3 [0,1,1,14606639,13595424541] 1
6045i (3 curves)	0	3- 5+ 13- 31-	0 3- 5+ -1  6 13-  6  2
Curve Equation t 6045i1 [0,1,1,-611,5606] 3 6045i2 [0,1,1,-2501,-43345] 3 6045i3 [0,1,1,-195941,-33449224] 1
6045j (4 curves)	0	3- 5+ 13- 31-	1 3- 5+  0  4 13-  2 -4
Curve Equation t 6045j1 [1,0,1,-18634,1166807] 2 6045j2 [1,0,1,-313879,67655981] 4 6045j3 [1,0,1,-329674,60466097] 2 6045j4 [1,0,1,-5022004,4331333981] 2
6045k (1 curve)	0	3- 5- 13- 31+	2 3- 5-  2  5 13-  0  2
Curve Equation t 6045k1 [0,1,1,18910,-22596031] 1
6045l (1 curve)	1	3- 5- 13- 31-	-2 3- 5- -3 -2 13-  2 -4
Curve Equation t Generators 6045l1 [0,1,1,-70,-176] 1 [-4:7:1]

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

Part of Computational Number Theory
Back to Tables and computations