Cremona's table of elliptic curves

61854 = 2 · 3 · 13² · 61

Class	r	Atkin-Lehner	Eigenvalues
61854a (2 curves)	1	2+ 3+ 13+ 61+	2+ 3+  0  2 -4 13+  2  4
Curve Equation t Generators 61854a1 [1,1,0,2870,-213884] 2 [620:15194:1] 61854a2 [1,1,0,-41070,-2964528] 2 [-96:372:1]
61854b (1 curve)	1	2+ 3+ 13+ 61+	2+ 3+  1 -2 -2 13+  1 -4
Curve Equation t Generators 61854b1 [1,1,0,-1199227,-506113187] 1 [2396375772090:256485427917179:205379000]
61854c (2 curves)	1	2+ 3+ 13+ 61+	2+ 3+  4 -2  4 13+ -2  8
Curve Equation t Generators 61854c1 [1,1,0,-25353,339280245] 2 [4866715230:-184954434527:7414875] 61854c2 [1,1,0,-7451213,7713159225] 2 [1517750:-118988095:2197]
61854d (2 curves)	0	2+ 3+ 13+ 61-	2+ 3+  0  0  4 13+  8  2
Curve Equation t 61854d1 [1,1,0,-964655,135230997] 2 61854d2 [1,1,0,-8356715,-9206854431] 2
61854e (4 curves)	0	2+ 3+ 13+ 61-	2+ 3+  2  0  4 13+ -6  0
Curve Equation t 61854e1 [1,1,0,-2036284,1117573072] 2 61854e2 [1,1,0,-2049804,1101962880] 4 61854e3 [1,1,0,414216,3588159060] 2 61854e4 [1,1,0,-4730144,-2383015188] 2
61854f (1 curve)	0	2+ 3+ 13+ 61-	2+ 3+  3  3  1 13+  2  8
Curve Equation t 61854f1 [1,1,0,-5411,170253] 1
61854g (1 curve)	0	2+ 3- 13+ 61+	2+ 3- -3 -2  4 13+  1  0
Curve Equation t 61854g1 [1,0,1,-61520,-5879170] 1
61854h (1 curve)	1	2+ 3- 13+ 61-	2+ 3- -1 -1  1 13+  2  0
Curve Equation t Generators 61854h1 [1,0,1,-34649,-2485312] 1 [3021:164218:1]
61854i (2 curves)	1	2+ 3- 13+ 61-	2+ 3- -1  2 -2 13+ -7  0
Curve Equation t Generators 61854i1 [1,0,1,-849,73348] 1 [14:-261:1] 61854i2 [1,0,1,-87039,-12429272] 1 [352:584:1]
61854j (2 curves)	1	2+ 3- 13+ 61-	2+ 3-  2  2  4 13+ -4  0
Curve Equation t Generators 61854j1 [1,0,1,9460,2064506] 2 [-1052649:-22825207:19683] 61854j2 [1,0,1,-196720,31754426] 2 [-341:7865:1]
61854k (2 curves)	1	2+ 3- 13+ 61-	2+ 3- -4 -4  4 13+ -4 -6
Curve Equation t Generators 61854k1 [1,0,1,-644908,-160070038] 2 [660969:-967265:729] 61854k2 [1,0,1,-3240748,2103502442] 2 [2481:95383:1]
61854l (2 curves)	0	2+ 3- 13- 61-	2+ 3-  0  4  0 13-  2  2
Curve Equation t 61854l1 [1,0,1,-36846,-1993184] 2 61854l2 [1,0,1,-212606,36111584] 2
61854m (1 curve)	0	2- 3+ 13+ 61+	2- 3+  3  2  4 13+  7  4
Curve Equation t 61854m1 [1,1,1,1771,-72727] 1
61854n (2 curves)	0	2- 3+ 13+ 61+	2- 3+  4  0  4 13+ -4  4
Curve Equation t 61854n1 [1,1,1,-2116,10421] 2 61854n2 [1,1,1,8024,91541] 2
61854o (4 curves)	1	2- 3+ 13+ 61-	2- 3+  2 -4  4 13+  6 -4
Curve Equation t Generators 61854o1 [1,1,1,-257,-23041] 2 [499:10904:1] 61854o2 [1,1,1,-13777,-623329] 4 [13629:290612:27] 61854o3 [1,1,1,-23917,402839] 2 [7502:223043:8] 61854o4 [1,1,1,-219957,-39797529] 2 [-360891190:178544251:1331000]
61854p (1 curve)	1	2- 3- 13+ 61+	2- 3- -1  2 -6 13+  3  0
Curve Equation t Generators 61854p1 [1,0,0,-154216,-23528896] 1 [560:7832:1]
61854q (2 curves)	0	2- 3- 13+ 61-	2- 3-  0  4  4 13+  4 -6
Curve Equation t 61854q1 [1,0,0,-57548,4452096] 2 61854q2 [1,0,0,-878888,317054100] 2
61854r (2 curves)	0	2- 3- 13+ 61-	2- 3-  3  1  3 13+ -6  4
Curve Equation t 61854r1 [1,0,0,-764,45252] 1 61854r2 [1,0,0,6841,-1188279] 1
61854s (2 curves)	1	2- 3- 13- 61-	2- 3-  0 -4  0 13-  2 -2
Curve Equation t Generators 61854s1 [1,0,0,-218,-924] 2 [-8:22:1] 61854s2 [1,0,0,-1258,16340] 2 [-22:194:1]

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