Cremona's table of elliptic curves

72842 = 2 · 7 · 11² · 43

Class	r	Atkin-Lehner	Eigenvalues
72842a (2 curves)	1	2+ 7+ 11+ 43+	2+  2 -2 7+ 11+  4  0 -4
Curve Equation t Generators 72842a1 [1,1,0,-1421,-931] 2 [61:349:1] 72842a2 [1,1,0,-15501,734045] 2 [-22:1043:1]
72842b (2 curves)	1	2+ 7+ 11+ 43+	2+ -2  2 7+ 11+ -4  4 -4
Curve Equation t Generators 72842b1 [1,0,1,-23675,-1404042] 2 [186:704:1] 72842b2 [1,0,1,-23895,-1376674] 2 [-91:260:1]
72842c (1 curve)	0	2+ 7+ 11- 43+	2+  0 -1 7+ 11- -4  2  6
Curve Equation t 72842c1 [1,-1,0,-1154060,-478084656] 1
72842d (1 curve)	2	2+ 7+ 11- 43+	2+ -1  0 7+ 11-  2 -2  6
Curve Equation t Generators 72842d1 [1,1,0,-16095,8763781] 1 [127:-3028:1]&[-18:3017:1]
72842e (1 curve)	0	2+ 7+ 11- 43+	2+  2 -1 7+ 11-  6 -6  4
Curve Equation t 72842e1 [1,1,0,1692,94736] 1
72842f (4 curves)	0	2+ 7+ 11- 43+	2+ -2  0 7+ 11-  4  0 -8
Curve Equation t 72842f1 [1,0,1,-126206,-15843984] 2 72842f2 [1,0,1,144834,-74605456] 2 72842f3 [1,0,1,-2149326,1209868592] 2 72842f4 [1,0,1,-1319266,2154808896] 2
72842g (2 curves)	0	2+ 7+ 11- 43+	2+ -2 -3 7+ 11- -2 -6  4
Curve Equation t 72842g1 [1,0,1,-37150,-2759088] 1 72842g2 [1,0,1,-34730,-3133440] 1
72842h (2 curves)	1	2+ 7+ 11- 43-	2+ -2 -2 7+ 11-  0  0  0
Curve Equation t Generators 72842h1 [1,0,1,-80952,22342406] 2 [-119:5563:1] 72842h2 [1,0,1,-1784632,916433670] 2 [-551:41899:1]
72842i (1 curve)	1	2+ 7- 11- 43+	2+  1 -2 7- 11- -1  2  1
Curve Equation t Generators 72842i1 [1,0,1,-840196052,34165188797650] 1 [359238:135739777:27]
72842j (1 curve)	0	2+ 7- 11- 43-	2+ -3 -3 7- 11- -6 -1 -7
Curve Equation t 72842j1 [1,-1,0,-17386,-16115852] 1
72842k (4 curves)	1	2- 7+ 11- 43+	2- -2  0 7+ 11-  4  0  4
Curve Equation t Generators 72842k1 [1,0,0,-141097558,-645125572332] 2 [389822302057634257090265434:309799362202543658283355261110:616224009611762404217] 72842k2 [1,0,0,-2257573898,-41286974138816] 2 [1846433725282816957251477064820524235686396358880:1464189958164038538102420973431221915334149372566976:2915656455333536618833303929930087927560827] 72842k3 [1,0,0,-46012733,-1494899100815] 2 [218090036034:3058271559727:16974593] 72842k4 [1,0,0,-2262074493,-41114094458447] 2 [96637410838936:-230618450880620361:16974593]
72842l (1 curve)	1	2- 7+ 11- 43+	2- -3 -3 7+ 11-  6  1  7
Curve Equation t Generators 72842l1 [1,-1,1,-144,12147] 1 [25:141:1]
72842m (2 curves)	0	2- 7+ 11- 43-	2-  0 -2 7+ 11-  6  4  6
Curve Equation t 72842m1 [1,-1,1,1465529,554069695] 2 72842m2 [1,-1,1,-7691751,5033811071] 2
72842n (1 curve)	0	2- 7+ 11- 43-	2-  1 -2 7+ 11-  1 -2 -1
Curve Equation t 72842n1 [1,0,0,-6943769,-25669443271] 1
72842o (2 curves)	0	2- 7+ 11- 43-	2- -2  2 7+ 11- -6  0  0
Curve Equation t 72842o1 [1,0,0,-1757,-20723] 2 72842o2 [1,0,0,-10227,380755] 2
72842p (1 curve)	0	2- 7+ 11- 43-	2- -3 -2 7+ 11-  6  4  0
Curve Equation t 72842p1 [1,-1,1,-5226,-145395] 1
72842q (2 curves)	0	2- 7- 11+ 43-	2-  2 -2 7- 11+ -4  0  4
Curve Equation t 72842q1 [1,1,1,-172004,379237] 2 72842q2 [1,1,1,-1875684,-986392219] 2
72842r (2 curves)	0	2- 7- 11+ 43-	2- -2  2 7- 11+  4 -4  4
Curve Equation t 72842r1 [1,0,0,-2864617,1865914953] 2 72842r2 [1,0,0,-2891237,1829461525] 2
72842s (2 curves)	2	2- 7- 11- 43+	2-  0 -4 7- 11- -2 -6 -4
Curve Equation t Generators 72842s1 [1,-1,1,14618,5667445] 2 [-107:1747:1]&[-65:2139:1] 72842s2 [1,-1,1,-401622,93910325] 2 [-469:13611:1]&[-3178:112045:8]
72842t (1 curve)	0	2- 7- 11- 43+	2- -1  2 7- 11- -2  0  3
Curve Equation t 72842t1 [1,1,1,-2730307,-1737711711] 1
72842u (1 curve)	0	2- 7- 11- 43+	2- -1  2 7- 11- -2  0 -4
Curve Equation t 72842u1 [1,1,1,913608,1064500669] 1
72842v (1 curve)	0	2- 7- 11- 43+	2-  3  2 7- 11- -2  0 -1
Curve Equation t 72842v1 [1,-1,1,-144,1741] 1
72842w (1 curve)	1	2- 7- 11- 43-	2-  0 -1 7- 11-  4 -2 -6
Curve Equation t Generators 72842w1 [1,-1,1,-9538,361793] 1 [59:13:1]
72842x (1 curve)	1	2- 7- 11- 43-	2-  2 -1 7- 11- -6  6 -4
Curve Equation t Generators 72842x1 [1,1,1,14,-65] 1 [7:17:1]
72842y (2 curves)	1	2- 7- 11- 43-	2-  2  2 7- 11-  0 -6  2
Curve Equation t Generators 72842y1 [1,1,1,-1636467,-877421071] 2 [111207:6682268:27] 72842y2 [1,1,1,-26818987,-53468595839] 2 [20369535:-238115002:3375]
72842z (2 curves)	1	2- 7- 11- 43-	2-  2  2 7- 11- -6  0 -4
Curve Equation t Generators 72842z1 [1,1,1,-4668517532,116810130733693] 2 [858207:-20155453:27] 72842z2 [1,1,1,-13549956252,-459502875231619] 2 [-2434929:146696771:27]
72842ba (2 curves)	1	2- 7- 11- 43-	2- -2 -3 7- 11-  2  6 -4
Curve Equation t Generators 72842ba1 [1,0,0,-4495092,3667850704] 3 [1224:-604:1] 72842ba2 [1,0,0,-4202272,4166406036] 1 [1256:28870:1]

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