Cremona's table of elliptic curves

85514 = 2 · 11 · 13² · 23

Class	r	Atkin-Lehner	Eigenvalues
85514a (2 curves)	1	2+ 11+ 13+ 23+	2+  1  3 -5 11+ 13+ -3 -2
Curve Equation t Generators 85514a1 [1,0,1,-151597,40051312] 1 [6150:-115558:27] 85514a2 [1,0,1,1279833,-754106052] 1 [75648:4216484:27]
85514b (1 curve)	1	2+ 11+ 13+ 23+	2+  2 -3  2 11+ 13+ -3 -2
Curve Equation t Generators 85514b1 [1,1,0,-874,-12696] 1 [138:1518:1]
85514c (1 curve)	1	2+ 11+ 13+ 23+	2+ -2  1  1 11+ 13+ -5  6
Curve Equation t Generators 85514c1 [1,0,1,-14538,656060] 1 [56:107:1]
85514d (2 curves)	0	2+ 11+ 13- 23+	2+  0  2  2 11+ 13- -2 -4
Curve Equation t 85514d1 [1,-1,0,-71746,3023892] 2 85514d2 [1,-1,0,-604226,-178551788] 2
85514e (2 curves)	0	2+ 11- 13+ 23+	2+  0  0  0 11- 13+  8  4
Curve Equation t 85514e1 [1,-1,0,-20227,-1195947] 2 85514e2 [1,-1,0,-331187,-73276475] 2
85514f (1 curve)	1	2+ 11- 13+ 23-	2+  0  3  3 11- 13+ -1  2
Curve Equation t Generators 85514f1 [1,-1,0,-623,-3483] 1 [-2569:10494:343]
85514g (1 curve)	1	2+ 11- 13+ 23-	2+ -1 -2  4 11- 13+ -6  1
Curve Equation t Generators 85514g1 [1,1,0,114,-1100] 1 [9:23:1]
85514h (1 curve)	1	2+ 11- 13+ 23-	2+ -3  3  3 11- 13+ -7  2
Curve Equation t Generators 85514h1 [1,-1,0,-427348,111312592] 1 [387:1750:1]
85514i (1 curve)	1	2+ 11- 13- 23+	2+  2 -3 -3 11- 13- -6  3
Curve Equation t Generators 85514i1 [1,1,0,-1875734,1613525204] 1 [13044:-779866:27]
85514j (2 curves)	0	2- 11+ 13+ 23+	2- -2 -3 -5 11+ 13+ -3 -2
Curve Equation t 85514j1 [1,0,0,-1947,20071] 1 85514j2 [1,0,0,-67012,-6681624] 1
85514k (1 curve)	1	2- 11+ 13+ 23-	2-  0  1 -1 11+ 13+  3  2
Curve Equation t Generators 85514k1 [1,-1,1,-158047,24196007] 1 [215:238:1]
85514l (1 curve)	1	2- 11+ 13+ 23-	2- -1  2 -4 11+ 13+ -6 -1
Curve Equation t Generators 85514l1 [1,1,1,19178,-2512749] 1 [105:767:1]
85514m (1 curve)	1	2- 11+ 13- 23+	2-  2  3  3 11+ 13- -6 -3
Curve Equation t Generators 85514m1 [1,1,1,-11099,730153] 1 [83:582:1]
85514n (1 curve)	1	2- 11- 13+ 23+	2-  2  3 -2 11- 13+ -3  2
Curve Equation t Generators 85514n1 [1,1,1,-147794,-27154301] 1 [175508:9008301:64]
85514o (1 curve)	1	2- 11- 13+ 23+	2- -2 -1  1 11- 13+  3  6
Curve Equation t Generators 85514o1 [1,0,0,-8031,-277031] 1 [-50:37:1]
85514p (2 curves)	0	2- 11- 13+ 23-	2-  0  0  0 11- 13+  8 -4
Curve Equation t 85514p1 [1,-1,1,906121860,-5787901914817] 2 85514p2 [1,-1,1,-4188646780,-49529547550401] 2
85514q (1 curve)	0	2- 11- 13+ 23-	2-  0  3 -3 11- 13+  5  2
Curve Equation t 85514q1 [1,-1,1,-49104841,132456972769] 1
85514r (1 curve)	0	2- 11- 13+ 23-	2-  0 -3  3 11- 13+  2 -1
Curve Equation t 85514r1 [1,-1,1,6221,-603053] 1
85514s (2 curves)	0	2- 11- 13- 23+	2-  0 -2 -2 11- 13- -2  4
Curve Equation t 85514s1 [1,-1,1,-12125106,6607115441] 2 85514s2 [1,-1,1,-102114226,-392584620879] 2

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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