Cremona's table of elliptic curves

124558 = 2 · 7² · 31 · 41

Class	r	Atkin-Lehner	Eigenvalues
124558a (1 curve)	1	2+ 7+ 31+ 41+	2+ -1 -2 7+  0 -1  2  8
Curve Equation t Generators 124558a1 [1,1,0,-11491,-478939] 1 [17427:427916:27]
124558b (1 curve)	1	2+ 7+ 31+ 41+	2+ -1 -2 7+  0 -1 -6  0
Curve Equation t Generators 124558b1 [1,1,0,6639,216469] 1 [69:970:1]
124558c (1 curve)	2	2+ 7+ 31- 41+	2+  0  2 7+ -4  1 -8  0
Curve Equation t Generators 124558c1 [1,-1,0,334,1140] 1 [-26:41:8]&[3:45:1]
124558d (1 curve)	0	2+ 7- 31+ 41+	2+  2 -3 7-  1  1 -2 -7
Curve Equation t 124558d1 [1,1,0,-109,-489] 1
124558e (1 curve)	1	2+ 7- 31+ 41-	2+  0 -2 7- -4 -1  8  0
Curve Equation t Generators 124558e1 [1,-1,0,16357,-423739] 1 [25:6:1]
124558f (1 curve)	1	2+ 7- 31+ 41-	2+ -2 -3 7-  1 -3  2  7
Curve Equation t Generators 124558f1 [1,0,1,-33098350,74479699872] 1 [16566:2009757:1]
124558g (1 curve)	1	2+ 7- 31+ 41-	2+  3  1 7- -4  2  2  0
Curve Equation t Generators 124558g1 [1,-1,0,-1969,691991] 1 [1335:22142:27]
124558h (1 curve)	1	2+ 7- 31- 41+	2+  2  3 7-  1  3 -2 -7
Curve Equation t Generators 124558h1 [1,1,0,-675476,-217431472] 1 [108291798717432794341866434326497196635:22377153613931850981239016498785562839207:2523074174063634935643710185150875]
124558i (1 curve)	1	2+ 7- 31- 41+	2+ -2  1 7-  1  1  4 -7
Curve Equation t Generators 124558i1 [1,0,1,562,7200] 1 [-10:29:1]
124558j (1 curve)	0	2+ 7- 31- 41-	2+  1 -1 7-  0 -2 -2  4
Curve Equation t 124558j1 [1,0,1,26731581,-7687752642] 1
124558k (1 curve)	0	2+ 7- 31- 41-	2+  1  2 7-  0  1 -2 -8
Curve Equation t 124558k1 [1,0,1,-563085,162586848] 1
124558l (1 curve)	0	2+ 7- 31- 41-	2+  1  2 7-  0  1  6  0
Curve Equation t 124558l1 [1,0,1,135,-612] 1
124558m (1 curve)	0	2+ 7- 31- 41-	2+  2 -3 7- -3 -3  0 -1
Curve Equation t 124558m1 [1,1,0,-847039,314885061] 1
124558n (2 curves)	0	2+ 7- 31- 41-	2+ -2  2 7- -6  4 -6  6
Curve Equation t 124558n1 [1,0,1,-30268845,63377630516] 2 124558n2 [1,0,1,-482794135,4083069276528] 2
124558o (1 curve)	0	2+ 7- 31- 41-	2+ -2  3 7-  1 -1  2  7
Curve Equation t 124558o1 [1,0,1,-5367,151652] 1
124558p (1 curve)	1	2- 7+ 31+ 41-	2- -1 -1 7+ -3 -4 -6 -3
Curve Equation t Generators 124558p1 [1,1,1,2449,-36555] 1 [139:-1806:1]
124558q (1 curve)	1	2- 7+ 31+ 41-	2- -2  0 7+ -6  1  6  0
Curve Equation t Generators 124558q1 [1,0,0,219127,37604251] 1 [5030:162223:8]
124558r (2 curves)	1	2- 7+ 31- 41+	2-  1  0 7+  0  5 -6 -4
Curve Equation t Generators 124558r1 [1,0,0,-10683,2350025] 3 [24184:3748797:1] 124558r2 [1,0,0,95647,-61639369] 1 [1434519462090:222382737994351:59319000]
124558s (1 curve)	2	2- 7+ 31- 41-	2- -2  0 7+  2 -3 -2 -8
Curve Equation t Generators 124558s1 [1,0,0,-734413,242194833] 1 [482:-737:1]&[494:-345:1]
124558t (4 curves)	1	2- 7- 31+ 41+	2-  0  2 7- -4  2  6  4
Curve Equation t Generators 124558t1 [1,-1,1,-13264,435635] 2 [125:785:1] 124558t2 [1,-1,1,-75984,-7692877] 4 [517:9281:1] 124558t3 [1,-1,1,45536,-30052557] 2 [349551:7182055:729] 124558t4 [1,-1,1,-1201024,-506310605] 2 [205255:-5618241:125]
124558u (1 curve)	1	2- 7- 31+ 41+	2-  2  0 7-  2  3  2  8
Curve Equation t Generators 124558u1 [1,1,1,-14988,-712531] 1 [141:-23:1]
124558v (2 curves)	1	2- 7- 31+ 41+	2- -2 -2 7-  0 -2  2  0
Curve Equation t Generators 124558v1 [1,0,0,11661,3234769] 2 [-24:1727:1] 124558v2 [1,0,0,-269599,51217725] 2 [550:8055:1]
124558w (1 curve)	0	2- 7- 31+ 41-	2-  1  1 7- -2  4  6  0
Curve Equation t 124558w1 [1,0,0,-5195,-802831] 1
124558x (2 curves)	0	2- 7- 31+ 41-	2- -1  0 7-  0 -5  6  4
Curve Equation t 124558x1 [1,1,1,-218,-6945] 1 124558x2 [1,1,1,1952,180543] 1
124558y (4 curves)	0	2- 7- 31+ 41-	2-  2  0 7-  0  4 -6 -8
Curve Equation t 124558y1 [1,1,1,-9263353,10732091719] 2 124558y2 [1,1,1,-17291513,-10664560313] 2 124558y3 [1,1,1,-748104953,7875438051655] 2 124558y4 [1,1,1,-748112793,7875264721799] 2
124558z (2 curves)	0	2- 7- 31+ 41-	2-  2 -4 7- -4  4  2  0
Curve Equation t 124558z1 [1,1,1,-9115,331141] 2 124558z2 [1,1,1,-9605,292921] 2
124558ba (1 curve)	0	2- 7- 31- 41+	2-  1  1 7- -3  4  6  3
Curve Equation t 124558ba1 [1,0,0,120000,12898304] 1
124558bb (1 curve)	2	2- 7- 31- 41+	2- -1 -1 7- -2 -4 -6  0
Curve Equation t Generators 124558bb1 [1,1,1,-106,2295] 1 [-15:35:1]&[-13:47:1]
124558bc (1 curve)	0	2- 7- 31- 41+	2-  2  0 7- -6 -1 -6  0
Curve Equation t 124558bc1 [1,1,1,4472,-107717] 1
124558bd (2 curves)	0	2- 7- 31- 41+	2- -2 -2 7-  0 -2 -6  0
Curve Equation t 124558bd1 [1,0,0,-18719,-992951] 2 124558bd2 [1,0,0,-299979,-63263915] 2
124558be (2 curves)	1	2- 7- 31- 41-	2-  2  0 7-  0  0 -6  8
Curve Equation t Generators 124558be1 [1,1,1,-9213,-343981] 2 [393:7348:1] 124558be2 [1,1,1,-11173,-189533] 2 [-2337:11200:27]
124558bf (2 curves)	1	2- 7- 31- 41-	2- -2 -2 7-  6  0  2  0
Curve Equation t Generators 124558bf1 [1,0,0,19746,7642564] 2 [-36:2642:1] 124558bf2 [1,0,0,-482014,122746308] 2 [256:3890:1]

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