Cremona's table of elliptic curves

31842 = 2 · 3² · 29 · 61

Class	r	Atkin-Lehner	Eigenvalues
31842a (1 curve)	1	2+ 3+ 29+ 61+	2+ 3+  1 -1  4  4 -3 -1
Curve Equation t Generators 31842a1 [1,-1,0,4852236,-3500638768] 1 [26778109817:-1187611670503:30080231]
31842b (1 curve)	1	2+ 3+ 29+ 61+	2+ 3+ -2 -2  0  3 -6 -6
Curve Equation t Generators 31842b1 [1,-1,0,-798,-263404] 1 [172:2074:1]
31842c (1 curve)	1	2+ 3+ 29- 61-	2+ 3+ -1 -1  0  0 -3  1
Curve Equation t Generators 31842c1 [1,-1,0,390,-1126] 1 [5:28:1]
31842d (1 curve)	2	2+ 3- 29+ 61+	2+ 3-  1 -1 -5 -1  0 -6
Curve Equation t Generators 31842d1 [1,-1,0,-249,2861] 1 [10:-41:1]&[-82:563:8]
31842e (1 curve)	0	2+ 3- 29+ 61+	2+ 3- -1 -1 -4  6  3 -1
Curve Equation t 31842e1 [1,-1,0,-98325,-14609291] 1
31842f (1 curve)	0	2+ 3- 29+ 61+	2+ 3-  3  3  4 -2  3  7
Curve Equation t 31842f1 [1,-1,0,-378,-18932] 1
31842g (1 curve)	0	2+ 3- 29+ 61+	2+ 3-  3  5  6  2 -3 -5
Curve Equation t 31842g1 [1,-1,0,-44298,3599802] 1
31842h (6 curves)	1	2+ 3- 29+ 61-	2+ 3-  2  0  4 -2 -2 -4
Curve Equation t Generators 31842h1 [1,-1,0,16569,1915069] 2 [70:11449:8] 31842h2 [1,-1,0,-167751,23185597] 4 [-92792:3579211:512] 31842h3 [1,-1,0,-694791,-199330691] 2 [-449230808:4482655399:1124864] 31842h4 [1,-1,0,-2589831,1604803837] 4 [-5714:447547:8] 31842h5 [1,-1,0,-2495871,1726557205] 2 [-4098690:328492675:5832] 31842h6 [1,-1,0,-41437071,102677552869] 2 [6078710:271512251:1000]
31842i (1 curve)	1	2+ 3- 29+ 61-	2+ 3-  3 -3 -4  0 -7  7
Curve Equation t Generators 31842i1 [1,-1,0,-141629418,652468187092] 1 [-9082733:1522779730:1331]
31842j (1 curve)	1	2+ 3- 29- 61+	2+ 3-  1  3  3 -5  4  2
Curve Equation t Generators 31842j1 [1,-1,0,-496314,-134463564] 1 [405780:22316406:125]
31842k (1 curve)	1	2+ 3- 29- 61+	2+ 3-  1 -3  0  4  1  5
Curve Equation t Generators 31842k1 [1,-1,0,3996,-499608] 1 [1446:19041:8]
31842l (1 curve)	1	2+ 3- 29- 61+	2+ 3- -1  1 -3  5  4  0
Curve Equation t Generators 31842l1 [1,-1,0,-12060,-2140448] 1 [164:440:1]
31842m (1 curve)	1	2+ 3- 29- 61+	2+ 3- -1 -2 -6  2 -5  6
Curve Equation t Generators 31842m1 [1,-1,0,97155,-8211803] 1 [329:7535:1]
31842n (1 curve)	1	2+ 3- 29- 61+	2+ 3- -4 -2  6 -7  4  6
Curve Equation t Generators 31842n1 [1,-1,0,-140724,121449424] 1 [776:21500:1]
31842o (2 curves)	0	2+ 3- 29- 61-	2+ 3- -3  2 -6  2  3  2
Curve Equation t 31842o1 [1,-1,0,-355401,-81461619] 1 31842o2 [1,-1,0,-315441,-100509579] 3
31842p (1 curve)	2	2+ 3- 29- 61-	2+ 3- -3 -3 -2 -2  1  1
Curve Equation t Generators 31842p1 [1,-1,0,-10746,448276] 1 [59:-160:1]&[-81:925:1]
31842q (1 curve)	1	2- 3+ 29+ 61-	2- 3+  1 -1  0  0  3  1
Curve Equation t Generators 31842q1 [1,-1,1,43,27] 1 [30:103:8]
31842r (1 curve)	1	2- 3+ 29- 61+	2- 3+ -1 -1 -4  4  3 -1
Curve Equation t Generators 31842r1 [1,-1,1,539137,129473575] 1 [-173:5654:1]
31842s (1 curve)	1	2- 3+ 29- 61+	2- 3+  2 -2  0  3  6 -6
Curve Equation t Generators 31842s1 [1,-1,1,-89,9785] 1 [-15:94:1]
31842t (1 curve)	1	2- 3- 29+ 61+	2- 3-  1 -4  1  5  0  0
Curve Equation t Generators 31842t1 [1,-1,1,-4007,102367] 1 [11:238:1]
31842u (1 curve)	1	2- 3- 29+ 61+	2- 3- -1  1  0  0  3 -3
Curve Equation t Generators 31842u1 [1,-1,1,-597983,-179350585] 1 [1299:34486:1]
31842v (1 curve)	1	2- 3- 29+ 61+	2- 3- -3 -3  1  7  0 -2
Curve Equation t Generators 31842v1 [1,-1,1,1691671,-4733726871] 1 [1523:36300:1]
31842w (2 curves)	1	2- 3- 29+ 61+	2- 3- -4 -4 -4 -6  6 -4
Curve Equation t Generators 31842w1 [1,-1,1,2083,2085] 2 [11:156:1] 31842w2 [1,-1,1,-8357,22965] 2 [-43:570:1]
31842x (1 curve)	0	2- 3- 29+ 61-	2- 3-  0  2  2  5  0  6
Curve Equation t 31842x1 [1,-1,1,-140,-705] 1
31842y (1 curve)	2	2- 3- 29+ 61-	2- 3- -1 -3 -2 -2 -5 -7
Curve Equation t Generators 31842y1 [1,-1,1,-1103,1204503] 1 [-1:1098:1]&[-79:930:1]
31842z (1 curve)	0	2- 3- 29+ 61-	2- 3- -3  2  2 -4 -3  0
Curve Equation t 31842z1 [1,-1,1,-11714,748959] 1
31842ba (1 curve)	0	2- 3- 29- 61+	2- 3-  1 -3 -2 -6 -1 -5
Curve Equation t 31842ba1 [1,-1,1,-34367,4606517] 1
31842bb (4 curves)	0	2- 3- 29- 61+	2- 3-  2 -4 -4 -2 -6  8
Curve Equation t 31842bb1 [1,-1,1,-344,-2357] 2 31842bb2 [1,-1,1,-524,523] 4 31842bb3 [1,-1,1,2086,2611] 2 31842bb4 [1,-1,1,-6014,180595] 2
31842bc (1 curve)	0	2- 3- 29- 61+	2- 3- -3  1  1  3  4 -2
Curve Equation t 31842bc1 [1,-1,1,1682296,-9635728013621] 1

Data from Elliptic Curve Data by J. E. Cremona.
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