Cremona's table of elliptic curves

22134 = 2 · 3 · 7 · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
22134a (2 curves)	1	2+ 3+ 7+ 17+ 31+	2+ 3+  2 7+ -2  6 17+  2
Curve Equation t Generators 22134a1 [1,1,0,-1158559,146137093] 2 [-1808417:52095844:2197] 22134a2 [1,1,0,-10558879,-13102673915] 2 [-4981753123763:-24981253284281:2691419471]
22134b (2 curves)	0	2+ 3+ 7+ 17- 31+	2+ 3+ -2 7+  0  0 17-  0
Curve Equation t 22134b1 [1,1,0,-1906621,-1014114755] 2 22134b2 [1,1,0,-30505981,-64865045891] 2
22134c (2 curves)	0	2+ 3+ 7+ 17- 31+	2+ 3+ -2 7+ -4  0 17- -4
Curve Equation t 22134c1 [1,1,0,-1136831,474328005] 2 22134c2 [1,1,0,-18278591,30071290821] 2
22134d (2 curves)	0	2+ 3+ 7+ 17- 31+	2+ 3+  4 7+  0  2 17-  2
Curve Equation t 22134d1 [1,1,0,-343,-2555] 2 22134d2 [1,1,0,-3,-6975] 2
22134e (2 curves)	0	2+ 3+ 7+ 17- 31+	2+ 3+  4 7+ -4  6 17- -4
Curve Equation t 22134e1 [1,1,0,-1228,-16880] 2 22134e2 [1,1,0,-19588,-1063400] 2
22134f (2 curves)	0	2+ 3+ 7+ 17- 31+	2+ 3+  4 7+  6 -6 17- -6
Curve Equation t 22134f1 [1,1,0,-1007831268,-843385523760] 2 22134f2 [1,1,0,-10682419428,423358281527760] 2
22134g (2 curves)	1	2+ 3+ 7+ 17- 31-	2+ 3+ -2 7+ -2 -2 17-  2
Curve Equation t Generators 22134g1 [1,1,0,469,5565] 2 [-2:69:1] 22134g2 [1,1,0,-3251,53925] 2 [-11:303:1]
22134h (2 curves)	0	2+ 3+ 7- 17+ 31+	2+ 3+ -2 7-  2  2 17+  6
Curve Equation t 22134h1 [1,1,0,-4956,-130176] 2 22134h2 [1,1,0,-14136,477540] 2
22134i (1 curve)	0	2+ 3- 7+ 17+ 31+	2+ 3- -1 7+ -1 -5 17+ -2
Curve Equation t 22134i1 [1,0,1,-541649,-2398519132] 1
22134j (2 curves)	0	2+ 3- 7+ 17+ 31+	2+ 3-  2 7+ -2  0 17+  2
Curve Equation t 22134j1 [1,0,1,-175375,253800206] 2 22134j2 [1,0,1,-7181065,7363174418] 2
22134k (2 curves)	0	2+ 3- 7+ 17+ 31+	2+ 3-  2 7+ -4  4 17+  4
Curve Equation t 22134k1 [1,0,1,-375,6106] 2 22134k2 [1,0,1,-7815,265018] 2
22134l (2 curves)	1	2+ 3- 7+ 17+ 31-	2+ 3-  0 7+  0  2 17+  0
Curve Equation t Generators 22134l1 [1,0,1,-256,-1510] 2 [-9:13:1] 22134l2 [1,0,1,-766,6242] 2 [42:199:1]
22134m (2 curves)	1	2+ 3- 7+ 17+ 31-	2+ 3-  0 7+  0 -2 17+  6
Curve Equation t Generators 22134m1 [1,0,1,-43055391,-108743472974] 2 [161913726281:-92848841862996:493039] 22134m2 [1,0,1,-42662351,-110826113326] 2 [3780976893:54355604848:493039]
22134n (2 curves)	1	2+ 3- 7+ 17+ 31-	2+ 3-  0 7+  6  2 17+  6
Curve Equation t Generators 22134n1 [1,0,1,-67476,6683794] 2 [-223:3375:1] 22134n2 [1,0,1,-119316,-5011310] 2 [-250:3159:1]
22134o (2 curves)	1	2+ 3- 7+ 17+ 31-	2+ 3- -2 7+ -6 -4 17+ -2
Curve Equation t Generators 22134o1 [1,0,1,1518,35620] 2 [-10:144:1] 22134o2 [1,0,1,-11442,377764] 2 [-94:837:1]
22134p (1 curve)	1	2+ 3- 7+ 17+ 31-	2+ 3-  3 7+  3 -5 17+ -6
Curve Equation t Generators 22134p1 [1,0,1,23348,-1803478] 1 [70:383:1]
22134q (1 curve)	1	2+ 3- 7+ 17+ 31-	2+ 3- -3 7+ -3 -1 17+  0
Curve Equation t Generators 22134q1 [1,0,1,585,17050] 1 [4:137:1]
22134r (2 curves)	1	2+ 3- 7+ 17- 31+	2+ 3- -4 7+  2 -2 17- -2
Curve Equation t Generators 22134r1 [1,0,1,-1793,-23488] 2 [-24:88:1] 22134r2 [1,0,1,-9083,311852] 2 [-66:823:1]
22134s (4 curves)	0	2+ 3- 7- 17+ 31-	2+ 3-  0 7-  0  2 17+ -4
Curve Equation t 22134s1 [1,0,1,-4651,120002] 6 22134s2 [1,0,1,-9241,-157234] 6 22134s3 [1,0,1,-39526,-2970760] 2 22134s4 [1,0,1,-629086,-192101608] 2
22134t (1 curve)	0	2+ 3- 7- 17- 31+	2+ 3-  1 7-  3  1 17-  8
Curve Equation t 22134t1 [1,0,1,-638,-6286] 1
22134u (4 curves)	1	2+ 3- 7- 17- 31-	2+ 3-  0 7-  0  2 17-  2
Curve Equation t Generators 22134u1 [1,0,1,-2297746,1330534052] 6 [-5770:411799:8] 22134u2 [1,0,1,-725586,3120280996] 6 [269:54129:1] 22134u3 [1,0,1,-15757921,-23274384940] 2 [-2366:28850:1] 22134u4 [1,0,1,6524319,-83819687468] 2 [32363:5816778:1]
22134v (2 curves)	1	2+ 3- 7- 17- 31-	2+ 3-  0 7-  4 -6 17-  2
Curve Equation t Generators 22134v1 [1,0,1,-276,274] 2 [-16:33:1] 22134v2 [1,0,1,1084,2450] 2 [21:175:1]
22134w (2 curves)	1	2+ 3- 7- 17- 31-	2+ 3- -2 7-  2 -2 17- -6
Curve Equation t Generators 22134w1 [1,0,1,-277,-1696] 2 [-8:8:1] 22134w2 [1,0,1,-4357,-111040] 2 [450:9214:1]
22134x (2 curves)	1	2+ 3- 7- 17- 31-	2+ 3- -2 7-  2  4 17- -6
Curve Equation t Generators 22134x1 [1,0,1,155168,-2019430] 2 [106:3899:1] 22134x2 [1,0,1,-623242,-16342174] 2 [1780:66302:1]
22134y (1 curve)	1	2- 3+ 7+ 17+ 31-	2- 3+  1 7+ -5  5 17+  4
Curve Equation t Generators 22134y1 [1,1,1,1267400,137957753] 1 [-59:7965:1]
22134z (4 curves)	1	2- 3+ 7+ 17+ 31-	2- 3+ -2 7+  4  2 17+  4
Curve Equation t Generators 22134z1 [1,1,1,-434,-22993] 2 [35:61:1] 22134z2 [1,1,1,-15014,-711169] 4 [1493:56765:1] 22134z3 [1,1,1,-23384,159311] 2 [32797772:1245233963:21952] 22134z4 [1,1,1,-239924,-45333313] 2 [26825734:972534211:17576]
22134ba (4 curves)	2	2- 3+ 7- 17+ 31-	2- 3+ -2 7- -4 -6 17+ -4
Curve Equation t Generators 22134ba1 [1,1,1,-2534,85475] 2 [261:-4289:1]&[-31:383:1] 22134ba2 [1,1,1,-48614,4103651] 4 [-171:2815:1]&[-143:2927:1] 22134ba3 [1,1,1,-56774,2621795] 2 [-205:2489:1]&[-19:1931:1] 22134ba4 [1,1,1,-777734,263670371] 2 [509:-245:1]&[515:-13:1]
22134bb (4 curves)	1	2- 3+ 7- 17- 31-	2- 3+  2 7-  4 -2 17- -8
Curve Equation t Generators 22134bb1 [1,1,1,-697,6791] 2 [17:6:1] 22134bb2 [1,1,1,-777,5031] 4 [-27:98:1] 22134bb3 [1,1,1,2283,38079] 4 [-9:134:1] 22134bb4 [1,1,1,-5117,-139057] 2 [459:9490:1]
22134bc (1 curve)	1	2- 3+ 7- 17- 31-	2- 3+ -3 7-  5 -5 17- -8
Curve Equation t Generators 22134bc1 [1,1,1,-69797,7068395] 1 [155:-16:1]
22134bd (6 curves)	1	2- 3- 7- 17- 31+	2- 3- -2 7-  4 -2 17- -4
Curve Equation t Generators 22134bd1 [1,0,0,106,10020] 4 [-12:90:1] 22134bd2 [1,0,0,-6374,190164] 8 [70:262:1] 22134bd3 [1,0,0,-15194,-453696] 4 [168:1236:1] 22134bd4 [1,0,0,-101234,12389160] 4 [11270:407435:8] 22134bd5 [1,0,0,45496,-3160470] 2 [107310:1666899:1000] 22134bd6 [1,0,0,-217004,-38918682] 2 [91476:3199647:64]

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