Cremona's table of elliptic curves

8514 = 2 · 3² · 11 · 43

Class	r	Atkin-Lehner	Eigenvalues
8514a (1 curve)	1	2+ 3+ 11- 43-	2+ 3+ -3 -3 11- -2  7 -4
Curve Equation t Generators 8514a1 [1,-1,0,-351,2621] 1 [10:1:1]
8514b (2 curves)	1	2+ 3- 11+ 43-	2+ 3-  2 -2 11+ -2  2 -4
Curve Equation t Generators 8514b1 [1,-1,0,-20196,-470448] 2 [-99:792:1] 8514b2 [1,-1,0,71964,-3622320] 2 [855:25695:1]
8514c (2 curves)	1	2+ 3- 11- 43+	2+ 3-  0 -4 11-  0  2 -4
Curve Equation t Generators 8514c1 [1,-1,0,-702,6804] 2 [-20:122:1] 8514c2 [1,-1,0,738,30132] 2 [9:189:1]
8514d (6 curves)	1	2+ 3- 11- 43+	2+ 3-  2  0 11- -2  6 -4
Curve Equation t Generators 8514d1 [1,-1,0,-65421,-6421275] 2 [-3773523770:3263910813:25672375] 8514d2 [1,-1,0,-76941,-3995163] 4 [18918:903861:8] 8514d3 [1,-1,0,-601821,177088437] 4 [-126:15903:1] 8514d4 [1,-1,0,263619,-29945835] 2 [2336590:-116662447:1000] 8514d5 [1,-1,0,-9587961,11429532945] 4 [1170:41985:1] 8514d6 [1,-1,0,-13761,507695769] 2 [774:179793:8]
8514e (1 curve)	1	2+ 3- 11- 43+	2+ 3- -4  0 11- -2 -6  2
Curve Equation t Generators 8514e1 [1,-1,0,-16254,801684] 1 [76:-6:1]
8514f (1 curve)	1	2- 3+ 11+ 43-	2- 3+  3 -3 11+ -2 -7 -4
Curve Equation t Generators 8514f1 [1,-1,1,-3161,-67607] 1 [97:680:1]
8514g (1 curve)	1	2- 3- 11+ 43+	2- 3-  1 -3 11+  4 -3 -4
Curve Equation t Generators 8514g1 [1,-1,1,-527,6743] 1 [27:-122:1]
8514h (2 curves)	0	2- 3- 11+ 43-	2- 3-  0 -4 11+  2 -6  2
Curve Equation t 8514h1 [1,-1,1,130,209] 1 8514h2 [1,-1,1,-2345,45353] 3
8514i (1 curve)	0	2- 3- 11+ 43-	2- 3- -1 -1 11+ -4 -3  4
Curve Equation t 8514i1 [1,-1,1,-248,-1785] 1
8514j (4 curves)	1	2- 3- 11- 43-	2- 3- -2  0 11-  2 -2  4
Curve Equation t Generators 8514j1 [1,-1,1,-101,397] 2 [-11:14:1] 8514j2 [1,-1,1,-281,-1259] 4 [-13:14:1] 8514j3 [1,-1,1,-4151,-101879] 2 [8414:268039:8] 8514j4 [1,-1,1,709,-8783] 2 [94:211:8]
8514k (2 curves)	1	2- 3- 11- 43-	2- 3- -3 -1 11- -4  3 -4
Curve Equation t Generators 8514k1 [1,-1,1,-1756364,-895747633] 1 [2781:123997:1] 8514k2 [1,-1,1,1012621,-3364010413] 3 [1755:60898:1]

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

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