Cremona's table of elliptic curves

111033 = 3² · 13² · 73

Class	r	Atkin-Lehner	Eigenvalues
111033a (1 curve)	0	3+ 13+ 73-	2 3+ -3  2  4 13+ -1 -5
Curve Equation t 111033a1 [0,0,1,1521,-56573] 1
111033b (1 curve)	0	3+ 13+ 73-	-2 3+  3  2 -4 13+  1 -5
Curve Equation t 111033b1 [0,0,1,13689,1527464] 1
111033c (2 curves)	0	3- 13+ 73+	0 3- -3  4  0 13+ -3  1
Curve Equation t 111033c1 [0,0,1,4056,-78543] 1 111033c2 [0,0,1,-41574,4489020] 1
111033d (2 curves)	2	3- 13+ 73+	1 3-  2 -2 -2 13+ -2 -8
Curve Equation t Generators 111033d1 [1,-1,0,-1806,17135] 2 [-370:275:8]&[-2:145:1] 111033d2 [1,-1,0,5799,119042] 2 [62:814:1]&[998:12821:8]
111033e (2 curves)	1	3- 13+ 73-	1 3- -4 -2 -4 13+  0  4
Curve Equation t Generators 111033e1 [1,-1,0,-125514,16088359] 2 [1126:8185:8] 111033e2 [1,-1,0,-1973529,1067608894] 2 [842:-1942:1]
111033f (2 curves)	1	3- 13+ 73-	-1 3-  0  2  0 13+  0  0
Curve Equation t Generators 111033f1 [1,-1,1,-514130,119290448] 2 [89944:-27018809:1] 111033f2 [1,-1,1,-2362145,-1284461746] 2 [-1082:2484:1]
111033g (2 curves)	1	3- 13+ 73-	-1 3-  0 -4 -2 13+ -4  4
Curve Equation t Generators 111033g1 [1,-1,1,-377240,88864026] 2 [92:7365:1] 111033g2 [1,-1,1,-171905,185042940] 2 [-120:14340:1]
111033h (1 curve)	1	3- 13+ 73-	-2 3- -1 -2 -4 13+  3  1
Curve Equation t Generators 111033h1 [0,0,1,-9633,-366350] 1 [130:760:1]

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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