Cremona's table of elliptic curves

2574 = 2 · 3² · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
2574a (2 curves)	1	2+ 3+ 11+ 13+	2+ 3+  2 -2 11+ 13+ -4  2
Curve Equation t Generators 2574a1 [1,-1,0,309,-17083] 2 [49:313:1] 2574a2 [1,-1,0,-8331,-278011] 2 [-50:133:1]
2574b (2 curves)	0	2+ 3+ 11- 13+	2+ 3+ -2 -2 11- 13+ -8  2
Curve Equation t 2574b1 [1,-1,0,-937023,-348885875] 2 2574b2 [1,-1,0,-14992383,-22339902131] 2
2574c (2 curves)	1	2+ 3+ 11- 13-	2+ 3+  0 -2 11- 13-  2 -6
Curve Equation t Generators 2574c1 [1,-1,0,-132,592] 2 [11:14:1] 2574c2 [1,-1,0,-372,-1952] 2 [-12:32:1]
2574d (2 curves)	0	2+ 3- 11+ 13+	2+ 3-  1  1 11+ 13+ -4  6
Curve Equation t 2574d1 [1,-1,0,-51969609,-144342625779] 1 2574d2 [1,-1,0,147177801,9059661330291] 1
2574e (1 curve)	0	2+ 3- 11+ 13+	2+ 3-  1 -3 11+ 13+  4 -2
Curve Equation t 2574e1 [1,-1,0,-414,-3308] 1
2574f (2 curves)	0	2+ 3- 11+ 13+	2+ 3- -2  4 11+ 13+  8 -6
Curve Equation t 2574f1 [1,-1,0,-2988,162000] 2 2574f2 [1,-1,0,-66348,6586704] 2
2574g (2 curves)	2	2+ 3- 11+ 13+	2+ 3- -4 -4 11+ 13+ -4 -4
Curve Equation t Generators 2574g1 [1,-1,0,-9,189] 2 [-3:15:1]&[-2:15:1] 2574g2 [1,-1,0,-549,5049] 2 [120:-1347:1]&[-12:105:1]
2574h (2 curves)	1	2+ 3- 11+ 13-	2+ 3- -1  3 11+ 13- -3  0
Curve Equation t Generators 2574h1 [1,-1,0,2520,-8096] 1 [87:886:1] 2574h2 [1,-1,0,-251370,48583174] 1 [101787:29632:343]
2574i (1 curve)	1	2+ 3- 11+ 13-	2+ 3- -1 -3 11+ 13-  6  0
Curve Equation t Generators 2574i1 [1,-1,0,0,22] 1 [-1:5:1]
2574j (4 curves)	1	2+ 3- 11+ 13-	2+ 3-  2  0 11+ 13- -6  0
Curve Equation t Generators 2574j1 [1,-1,0,-1386,-22748] 2 [56:242:1] 2574j2 [1,-1,0,-23166,-1351328] 4 [419:7688:1] 2574j3 [1,-1,0,-370656,-86764370] 2 [705:1045:1] 2574j4 [1,-1,0,-24156,-1228766] 2 [-67:326:1]
2574k (2 curves)	1	2+ 3- 11+ 13-	2+ 3- -4  0 11+ 13-  0  0
Curve Equation t Generators 2574k1 [1,-1,0,-20709,1157269] 2 [77:83:1] 2574k2 [1,-1,0,-331749,73629589] 2 [330:-77:1]
2574l (1 curve)	1	2+ 3- 11- 13+	2+ 3-  1  1 11- 13+ -2 -4
Curve Equation t Generators 2574l1 [1,-1,0,-594,7852] 1 [17:41:1]
2574m (4 curves)	1	2+ 3- 11- 13+	2+ 3- -2  4 11- 13+ -2 -4
Curve Equation t Generators 2574m1 [1,-1,0,-9603,-359339] 2 [-55:41:1] 2574m2 [1,-1,0,-12483,-123755] 4 [-18:317:1] 2574m3 [1,-1,0,-119403,15807325] 2 [225:430:1] 2574m4 [1,-1,0,48357,-1012019] 2 [29:629:1]
2574n (1 curve)	0	2+ 3- 11- 13-	2+ 3-  3  1 11- 13-  8 -6
Curve Equation t 2574n1 [1,-1,0,-5148,-3209648] 1
2574o (2 curves)	0	2+ 3- 11- 13-	2+ 3-  3  5 11- 13-  0  2
Curve Equation t 2574o1 [1,-1,0,117,1053] 1 2574o2 [1,-1,0,-5553,160947] 3
2574p (1 curve)	0	2+ 3- 11- 13-	2+ 3-  3 -5 11- 13- -7  0
Curve Equation t 2574p1 [1,-1,0,117,-4667] 1
2574q (2 curves)	0	2- 3+ 11+ 13+	2- 3+  2 -2 11+ 13+  8  2
Curve Equation t 2574q1 [1,-1,1,-8433209,9428351833] 2 2574q2 [1,-1,1,-134931449,603312288985] 2
2574r (2 curves)	1	2- 3+ 11+ 13-	2- 3+  0 -2 11+ 13- -2 -6
Curve Equation t Generators 2574r1 [1,-1,1,-1190,-14795] 2 [-19:35:1] 2574r2 [1,-1,1,-3350,56053] 2 [-41:371:1]
2574s (2 curves)	1	2- 3+ 11- 13+	2- 3+ -2 -2 11- 13+  4  2
Curve Equation t Generators 2574s1 [1,-1,1,34,621] 2 [-3:23:1] 2574s2 [1,-1,1,-926,10605] 2 [-21:153:1]
2574t (4 curves)	1	2- 3- 11+ 13+	2- 3- -2  0 11+ 13+ -2  4
Curve Equation t Generators 2574t1 [1,-1,1,49,2967] 2 [-1:54:1] 2574t2 [1,-1,1,-2831,57111] 4 [-9:290:1] 2574t3 [1,-1,1,-6791,-134553] 2 [-27:182:1] 2574t4 [1,-1,1,-44951,3679431] 2 [125:-18:1]
2574u (2 curves)	0	2- 3- 11+ 13-	2- 3-  2  4 11+ 13-  0  2
Curve Equation t 2574u1 [1,-1,1,-59,263] 2 2574u2 [1,-1,1,-1049,13331] 2
2574v (2 curves)	0	2- 3- 11+ 13-	2- 3- -3 -1 11+ 13-  0  2
Curve Equation t 2574v1 [1,-1,1,-935879,-348245953] 1 2574v2 [1,-1,1,-726494,-508331923] 3
2574w (1 curve)	0	2- 3- 11- 13+	2- 3-  1  1 11- 13+  1 -4
Curve Equation t 2574w1 [1,-1,1,-302,-1947] 1
2574x (4 curves)	1	2- 3- 11- 13-	2- 3-  0 -4 11- 13-  0 -4
Curve Equation t Generators 2574x1 [1,-1,1,3235,-51739] 2 [27:220:1] 2574x2 [1,-1,1,-16205,-448315] 2 [-39:370:1] 2574x3 [1,-1,1,-33620,3176759] 6 [-183:1873:1] 2574x4 [1,-1,1,-586580,173046071] 6 [-741:14527:1]
2574y (2 curves)	1	2- 3- 11- 13-	2- 3- -3 -1 11- 13- -6  8
Curve Equation t Generators 2574y1 [1,-1,1,-59,-1141] 1 [39:-254:1] 2574y2 [1,-1,1,526,30449] 3 [-21:109:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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