Cremona's table of elliptic curves

60543 = 3² · 7 · 31²

Class	r	Atkin-Lehner	Eigenvalues
60543a (1 curve)	0	3+ 7+ 31-	0 3+  3 7+  4 -1  2  0
Curve Equation t 60543a1 [0,0,1,-5766,201089] 1
60543b (1 curve)	0	3+ 7+ 31-	0 3+ -3 7+ -4 -1 -2  0
Curve Equation t 60543b1 [0,0,1,-51894,-5429410] 1
60543c (1 curve)	2	3- 7+ 31+	0 3-  2 7+ -4  1  0 -7
Curve Equation t Generators 60543c1 [0,0,1,178746,-915901952] 1 [15376:1907104:1]&[2769602:1629601331:8]
60543d (1 curve)	2	3- 7+ 31+	0 3- -4 7+ -4 -5 -6 -1
Curve Equation t Generators 60543d1 [0,0,1,-11532,476896] 1 [62:-16:1]&[-62:976:1]
60543e (1 curve)	1	3- 7+ 31-	0 3-  2 7+  4 -1  0 -7
Curve Equation t Generators 60543e1 [0,0,1,186,30744] 1 [-6:171:1]
60543f (1 curve)	1	3- 7+ 31-	0 3- -4 7+  4  5  6 -1
Curve Equation t Generators 60543f1 [0,0,1,-11082252,-14207216184] 1 [109806724793262:13320222482011544:7088952961]
60543g (6 curves)	1	3- 7+ 31-	1 3-  2 7+  4  2 -6  4
Curve Equation t Generators 60543g1 [1,-1,0,8469,-68216] 2 [65720327896360:-126344025900428:8199637992125] 60543g2 [1,-1,0,-34776,-526613] 4 [-9014902:2486591:50653] 60543g3 [1,-1,0,-337491,75091594] 2 [-670:668:1] 60543g4 [1,-1,0,-423981,-106001168] 4 [-9542270966051946784:4322987962169327012:26214218562637981] 60543g5 [1,-1,0,-294246,-172191965] 2 [876220114:35885285521:456533] 60543g6 [1,-1,0,-6780996,-6794852351] 2 [-139593398661365154089874727599988:69829739830436166253069813142909:92861081291695984245776903104]
60543h (2 curves)	1	3- 7+ 31-	-1 3-  2 7+ -2  4  0 -4
Curve Equation t Generators 60543h1 [1,-1,1,30091,-4061892] 2 [456082:-9294699:1331] 60543h2 [1,-1,1,-272624,-46684164] 2 [-292:2967:1]
60543i (2 curves)	1	3- 7+ 31-	-1 3- -2 7+  6 -6 -6  0
Curve Equation t Generators 60543i1 [1,-1,1,-1901,-31148] 2 [-26:26:1] 60543i2 [1,-1,1,-506,-76904] 2 [67:398:1]
60543j (2 curves)	1	3- 7+ 31-	-1 3- -2 7+ -6  6  6  0
Curve Equation t Generators 60543j1 [1,-1,1,-1826561,942534640] 2 [673:3875:1] 60543j2 [1,-1,1,-485966,2294926876] 2 [400564:-31839805:64]
60543k (1 curve)	1	3- 7- 31+	1 3- -1 7-  3  0 -3 -1
Curve Equation t Generators 60543k1 [1,-1,0,-180,-5751] 1 [9072:25101:343]
60543l (1 curve)	1	3- 7- 31+	2 3-  2 7- -2  7 -2 -1
Curve Equation t Generators 60543l1 [0,0,1,-1161849,621760513] 1 [68338:6268777:8]
60543m (1 curve)	1	3- 7- 31+	2 3- -4 7- -2  1  4 -7
Curve Equation t Generators 60543m1 [0,0,1,-361755957,-2648327258399] 1 [527101462912993090636:15668531975868089486647:23573740145215168]
60543n (3 curves)	0	3- 7- 31-	0 3-  3 7-  0 -5  0  2
Curve Equation t 60543n1 [0,0,1,196044,-72667697] 1 60543n2 [0,0,1,-9144876,-10663636316] 1 60543n3 [0,0,1,-741109746,-7765544278517] 1
60543o (1 curve)	0	3- 7- 31-	1 3- -1 7- -3  0  3 -1
Curve Equation t 60543o1 [1,-1,0,-173160,172712857] 1
60543p (4 curves)	0	3- 7- 31-	1 3-  2 7-  0  6  6 -4
Curve Equation t 60543p1 [1,-1,0,311184,-67642853] 2 60543p2 [1,-1,0,-1807821,-641893208] 4 60543p3 [1,-1,0,-11191986,13920454039] 2 60543p4 [1,-1,0,-26327736,-51981691235] 2
60543q (2 curves)	0	3- 7- 31-	-1 3-  2 7-  2 -4  8 -4
Curve Equation t 60543q1 [1,-1,1,-48404309,-130063034212] 2 60543q2 [1,-1,1,-775223024,-8307645760420] 2
60543r (2 curves)	0	3- 7- 31-	-1 3- -4 7-  2  2  2  8
Curve Equation t 60543r1 [1,-1,1,-30452,1129430] 2 60543r2 [1,-1,1,99283,8135120] 2
60543s (1 curve)	0	3- 7- 31-	2 3-  2 7-  2 -7  2 -1
Curve Equation t 60543s1 [0,0,1,-1209,-20871] 1
60543t (1 curve)	0	3- 7- 31-	2 3- -4 7-  2 -1 -4 -7
Curve Equation t 60543t1 [0,0,1,-347647474677,78896317354957161] 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
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