Cremona's table of elliptic curves

57850 = 2 · 5² · 13 · 89

Class	r	Atkin-Lehner	Eigenvalues
57850a (1 curve)	1	2+ 5+ 13+ 89+	2+  0 5+  1  3 13+  2 -6
Curve Equation t Generators 57850a1 [1,-1,0,-2897,-59299] 1 [12765:269068:27]
57850b (1 curve)	1	2+ 5+ 13+ 89+	2+  0 5+ -5  0 13+  8 -3
Curve Equation t Generators 57850b1 [1,-1,0,849833,1276419741] 1 [409:40933:1]
57850c (1 curve)	0	2+ 5+ 13+ 89-	2+  0 5+  3  0 13+ -8 -1
Curve Equation t 57850c1 [1,-1,0,18683,-377409] 1
57850d (1 curve)	0	2+ 5+ 13+ 89-	2+  0 5+  3 -3 13+  1 -4
Curve Equation t 57850d1 [1,-1,0,-2702,-55724] 1
57850e (2 curves)	0	2+ 5+ 13- 89+	2+  0 5+  2  0 13-  6  6
Curve Equation t 57850e1 [1,-1,0,-9167,-314259] 2 57850e2 [1,-1,0,-29167,1545741] 2
57850f (1 curve)	0	2+ 5+ 13- 89+	2+ -1 5+ -1  2 13- -5  2
Curve Equation t 57850f1 [1,1,0,11150,-170500] 1
57850g (1 curve)	0	2+ 5+ 13- 89+	2+ -1 5+  2  5 13- -2 -4
Curve Equation t 57850g1 [1,1,0,-301125,-66621875] 1
57850h (1 curve)	0	2+ 5+ 13- 89+	2+  2 5+ -1 -1 13- -2  0
Curve Equation t 57850h1 [1,1,0,-12200,524000] 1
57850i (1 curve)	0	2+ 5+ 13- 89+	2+ -3 5+ -4 -2 13- -3  3
Curve Equation t 57850i1 [1,-1,0,-5923192,-15040942784] 1
57850j (2 curves)	1	2+ 5- 13- 89+	2+  1 5- -4 -3 13-  3  2
Curve Equation t Generators 57850j1 [1,0,1,-826,28048] 3 [-37:109:1] 57850j2 [1,0,1,7299,-686952] 1 [2001:12818:27]
57850k (1 curve)	1	2+ 5- 13- 89+	2+  2 5-  1  3 13-  2 -2
Curve Equation t Generators 57850k1 [1,1,0,-25,-225] 1 [9:15:1]
57850l (2 curves)	1	2+ 5- 13- 89+	2+ -2 5-  5  3 13- -6  2
Curve Equation t Generators 57850l1 [1,0,1,42674,-953952] 3 [125258:2667531:343] 57850l2 [1,0,1,-696701,-231638952] 1 [396699615439904:-8443224886340747:334833680384]
57850m (1 curve)	0	2- 5+ 13+ 89+	2-  0 5+  3  4 13+ -4 -7
Curve Equation t 57850m1 [1,-1,1,-364380,-1122598753] 1
57850n (2 curves)	0	2- 5+ 13+ 89+	2- -1 5+  4 -3 13+ -3  2
Curve Equation t 57850n1 [1,1,1,-33,211] 1 57850n2 [1,1,1,292,-5379] 1
57850o (2 curves)	0	2- 5+ 13+ 89+	2-  2 5+ -5  3 13+  6  2
Curve Equation t 57850o1 [1,1,1,1707,-6949] 1 57850o2 [1,1,1,-27868,-1864259] 1
57850p (1 curve)	0	2- 5+ 13+ 89+	2- -2 5+ -1  3 13+ -2 -2
Curve Equation t 57850p1 [1,0,0,-638,-26858] 1
57850q (1 curve)	0	2- 5+ 13+ 89+	2- -3 5+  0 -2 13+ -7  5
Curve Equation t 57850q1 [1,-1,1,-1830,-29703] 1
57850r (1 curve)	1	2- 5+ 13+ 89-	2-  1 5+ -3  0 13+  7  4
Curve Equation t Generators 57850r1 [1,0,0,162,-35458] 1 [62814116:267358555:1560896]
57850s (2 curves)	1	2- 5+ 13+ 89-	2-  2 5+  2  0 13+  2 -6
Curve Equation t Generators 57850s1 [1,1,1,-195813,33269531] 2 [16500:-3407:64] 57850s2 [1,1,1,-195313,33448531] 2 [2318:7915:8]
57850t (2 curves)	2	2- 5+ 13- 89-	2-  0 5+ -2 -6 13-  6 -8
Curve Equation t Generators 57850t1 [1,-1,1,-2880,59747] 2 [-61:105:1]&[-11:305:1] 57850t2 [1,-1,1,-880,139747] 2 [-41:345:1]&[-35:373:1]
57850u (1 curve)	1	2- 5- 13+ 89+	2- -2 5-  1 -1 13+  2  0
Curve Equation t Generators 57850u1 [1,0,0,-488,4192] 1 [22:-76:1]
57850v (1 curve)	0	2- 5- 13- 89+	2-  0 5- -1  3 13- -2 -6
Curve Equation t 57850v1 [1,-1,1,-72430,-7484803] 1
57850w (1 curve)	1	2- 5- 13- 89-	2-  0 5- -3 -3 13- -1 -4
Curve Equation t Generators 57850w1 [1,-1,1,-67555,-7033053] 1 [969:28440:1]

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