Cremona's table of elliptic curves

85140 = 2² · 3² · 5 · 11 · 43

Class	r	Atkin-Lehner	Eigenvalues
85140a (2 curves)	0	2- 3+ 5+ 11+ 43+	2- 3+ 5+  0 11+ -6  4 -4
Curve Equation t 85140a1 [0,0,0,-725748,227025617] 2 85140a2 [0,0,0,466857,899893358] 2
85140b (2 curves)	1	2- 3+ 5+ 11+ 43-	2- 3+ 5+  0 11+  4  2 -4
Curve Equation t Generators 85140b1 [0,0,0,3132,28917] 2 [2848944:39364451:110592] 85140b2 [0,0,0,-13743,241542] 2 [-1626:24904:27]
85140c (2 curves)	0	2- 3+ 5- 11- 43+	2- 3+ 5-  0 11- -6 -4 -4
Curve Equation t 85140c1 [0,0,0,-6531732,-6129691659] 2 85140c2 [0,0,0,4201713,-24297120666] 2
85140d (2 curves)	1	2- 3+ 5- 11- 43-	2- 3+ 5-  0 11-  4 -2 -4
Curve Equation t Generators 85140d1 [0,0,0,348,-1071] 2 [18:105:1] 85140d2 [0,0,0,-1527,-8946] 2 [-17:110:1]
85140e (1 curve)	1	2- 3- 5+ 11+ 43+	2- 3- 5+ -3 11+  0  4 -7
Curve Equation t Generators 85140e1 [0,0,0,-19893,-1078967] 1 [-638:135:8]
85140f (1 curve)	1	2- 3- 5+ 11+ 43+	2- 3- 5+ -3 11+ -4  0 -5
Curve Equation t Generators 85140f1 [0,0,0,-4233,-50443] 1 [-44:225:1]
85140g (2 curves)	1	2- 3- 5+ 11+ 43+	2- 3- 5+ -4 11+  4  2 -2
Curve Equation t Generators 85140g1 [0,0,0,-234228,-84985823] 2 [1694:66177:1] 85140g2 [0,0,0,-4662903,-3873274418] 2 [-926577:155078:729]
85140h (1 curve)	0	2- 3- 5+ 11+ 43-	2- 3- 5+  0 11+  0  4 -4
Curve Equation t 85140h1 [0,0,0,-2758383,1778232582] 1
85140i (1 curve)	2	2- 3- 5+ 11+ 43-	2- 3- 5+  1 11+ -6 -4 -3
Curve Equation t Generators 85140i1 [0,0,0,-14133,646693] 1 [69:-5:1]&[41:369:1]
85140j (1 curve)	0	2- 3- 5+ 11+ 43-	2- 3- 5+  3 11+  0  4 -1
Curve Equation t 85140j1 [0,0,0,-2313,-42363] 1
85140k (2 curves)	0	2- 3- 5+ 11+ 43-	2- 3- 5+  4 11+ -4  2  6
Curve Equation t 85140k1 [0,0,0,32892,-6556943] 2 85140k2 [0,0,0,-388983,-83928818] 2
85140l (1 curve)	0	2- 3- 5+ 11+ 43-	2- 3- 5+ -4 11+ -4 -4  4
Curve Equation t 85140l1 [0,0,0,-1983,-35818] 1
85140m (2 curves)	1	2- 3- 5+ 11- 43-	2- 3- 5+  2 11-  5  3 -1
Curve Equation t Generators 85140m1 [0,0,0,-99744528,-383426152652] 1 [-26118411626631111788891609550509085:128935636986495348742305587156639:4529704916063277141444553368375] 85140m2 [0,0,0,-103164528,-355723414652] 3 [-11810971092996:240187886032522:1672446203]
85140n (1 curve)	0	2- 3- 5- 11+ 43+	2- 3- 5- -5 11+ -2  4 -5
Curve Equation t 85140n1 [0,0,0,-27237,-843959] 1
85140o (1 curve)	2	2- 3- 5- 11+ 43+	2- 3- 5- -5 11+ -2 -6  1
Curve Equation t Generators 85140o1 [0,0,0,-59997,5655989] 1 [193:-1125:1]&[-187:3215:1]
85140p (2 curves)	1	2- 3- 5- 11+ 43-	2- 3- 5- -1 11+ -4  6 -1
Curve Equation t Generators 85140p1 [0,0,0,-5817,-170651] 1 [-350:81:8] 85140p2 [0,0,0,-19677,871621] 3 [-25:1161:1]
85140q (1 curve)	1	2- 3- 5- 11+ 43-	2- 3- 5- -3 11+  2  8 -7
Curve Equation t Generators 85140q1 [0,0,0,-440697,-57162211] 1 [-236:5805:1]
85140r (1 curve)	1	2- 3- 5- 11+ 43-	2- 3- 5- -3 11+ -6  0 -3
Curve Equation t Generators 85140r1 [0,0,0,-1137,-14659] 1 [-20:9:1]
85140s (1 curve)	0	2- 3- 5- 11- 43-	2- 3- 5-  2 11-  5 -5  1
Curve Equation t 85140s1 [0,0,0,-192,164] 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