Cremona's table of elliptic curves

75118 = 2 · 23² · 71

Class	r	Atkin-Lehner	Eigenvalues
75118a (1 curve)	0	2+ 23- 71+	2+  0  0  2 -1  3  0 -4
Curve Equation t 75118a1 [1,-1,0,-64637,6373797] 1
75118b (1 curve)	0	2+ 23- 71+	2+  0  0 -2  1  3  0  4
Curve Equation t 75118b1 [1,-1,0,-122,-492] 1
75118c (2 curves)	0	2+ 23- 71+	2+  0  0  4 -2 -6 -6 -2
Curve Equation t 75118c1 [1,-1,0,916658,-229433772] 2 75118c2 [1,-1,0,-4500302,-2015947180] 2
75118d (1 curve)	0	2+ 23- 71+	2+  1  1 -2  4  3  3 -6
Curve Equation t 75118d1 [1,0,1,-4508,133954] 1
75118e (1 curve)	0	2+ 23- 71+	2+ -1  2  1  2 -3  6 -5
Curve Equation t 75118e1 [1,1,0,-804,5002] 1
75118f (1 curve)	0	2+ 23- 71+	2+ -3 -1 -2  4 -5  5  2
Curve Equation t 75118f1 [1,-1,0,-533860,150289834] 1
75118g (2 curves)	1	2+ 23- 71-	2+  0 -2  0 -6  4 -6  8
Curve Equation t Generators 75118g1 [1,-1,0,-628,40080] 2 [32:212:1] 75118g2 [1,-1,0,-21788,1237736] 2 [29:779:1]
75118h (1 curve)	1	2+ 23- 71-	2+  3 -2  3  6 -5 -6 -1
Curve Equation t Generators 75118h1 [1,-1,0,-1389253,-627317419] 1 [-5154850558004085847873112621304494029731:2753698515046141159860916828991351752579:8000963480768378553673148862189921321]
75118i (1 curve)	1	2+ 23- 71-	2+ -3  3 -2  4  1 -5  2
Curve Equation t Generators 75118i1 [1,-1,0,8005787,-946884203] 1 [22266695:1863441897:166375]
75118j (2 curves)	1	2- 23- 71+	2-  1  0  1  0 -1  0  1
Curve Equation t Generators 75118j1 [1,0,0,-4243,-105815] 1 [-8382:10213:216] 75118j2 [1,0,0,-30693,2007011] 1 [-306693779610:14053869673279:7833173256]
75118k (1 curve)	0	2- 23- 71-	2- -3  4  3  0  1  0  5
Curve Equation t 75118k1 [1,-1,1,-6183,-148641] 1

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

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