Cremona's table of elliptic curves

2850 = 2 · 3 · 5² · 19

Class	r	Atkin-Lehner	Eigenvalues
2850a (4 curves)	1	2+ 3+ 5+ 19+	2+ 3+ 5+  2  2 -4  2 19+
Curve Equation t Generators 2850a1 [1,1,0,233375,-92172875] 2 [35421:6649418:1] 2850a2 [1,1,0,-2198625,-1081996875] 2 [1730:16335:1] 2850a3 [1,1,0,-82536625,-288649002875] 2 [35169907628776132631646975330:-4387789223237727160132930720715:1738877305377271731448447] 2850a4 [1,1,0,-1320586125,-18471882009375] 2 [-133464637849251115200:66732030157413339225:6361138463434903]
2850b (4 curves)	1	2+ 3+ 5+ 19+	2+ 3+ 5+ -4 -4  2  2 19+
Curve Equation t Generators 2850b1 [1,1,0,-250,2500] 2 [0:50:1] 2850b2 [1,1,0,-4750,124000] 4 [15:230:1] 2850b3 [1,1,0,-5500,81250] 2 [9:176:1] 2850b4 [1,1,0,-76000,8032750] 2 [159:-74:1]
2850c (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+ -2 -4 -6 -4 19-
Curve Equation t 2850c1 [1,1,0,-36400,-2700500] 2 2850c2 [1,1,0,-583150,-171646250] 2
2850d (4 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+ -2  6  4  6 19-
Curve Equation t 2850d1 [1,1,0,-646775,201775125] 2 2850d2 [1,1,0,-10374775,12857903125] 2 2850d3 [1,1,0,2137225,1052623125] 2 2850d4 [1,1,0,-11580775,9681245125] 2
2850e (4 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+  4  0  4 -6 19-
Curve Equation t 2850e1 [1,1,0,-200,0] 2 2850e2 [1,1,0,800,1000] 2 2850e3 [1,1,0,-10700,-430500] 2 2850e4 [1,1,0,-10450,-451250] 2
2850f (1 curve)	0	2+ 3+ 5+ 19-	2+ 3+ 5+  4 -1  0  8 19-
Curve Equation t 2850f1 [1,1,0,-12825,577125] 1
2850g (2 curves)	0	2+ 3+ 5- 19+	2+ 3+ 5-  2 -3  6  2 19+
Curve Equation t 2850g1 [1,1,0,-19875,-1086975] 1 2850g2 [1,1,0,119300,994000] 1
2850h (1 curve)	0	2+ 3- 5+ 19+	2+ 3- 5+  0  1  4  4 19+
Curve Equation t 2850h1 [1,0,1,39,-452] 1
2850i (4 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+  0  4 -2 -2 19+
Curve Equation t 2850i1 [1,0,1,-776,8198] 2 2850i2 [1,0,1,-1276,-3802] 4 2850i3 [1,0,1,-15526,-744802] 2 2850i4 [1,0,1,4974,-28802] 2
2850j (4 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+  0 -4 -2  6 19+
Curve Equation t 2850j1 [1,0,1,-8801,-286252] 2 2850j2 [1,0,1,-136801,-19486252] 4 2850j3 [1,0,1,-2188801,-1246582252] 2 2850j4 [1,0,1,-132801,-20678252] 2
2850k (2 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  2  0 -6 -8 19-
Curve Equation t Generators 2850k1 [1,0,1,-1,-352] 2 [12:31:1] 2850k2 [1,0,1,-751,-7852] 2 [42:166:1]
2850l (4 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+ -4  0  6 -2 19-
Curve Equation t Generators 2850l1 [1,0,1,-47501,4160648] 2 [51:1342:1] 2850l2 [1,0,1,-769501,259748648] 4 [412:3356:1] 2850l3 [1,0,1,-779001,253003648] 2 [-103:18276:1] 2850l4 [1,0,1,-12312001,16627013648] 2 [2026:-994:1]
2850m (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5-  0 -4 -2  6 19+
Curve Equation t Generators 2850m1 [1,0,1,-3951,99298] 2 [23:132:1] 2850m2 [1,0,1,-63951,6219298] 2 [148:-31:1]
2850n (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5-  0 -4  4 -6 19+
Curve Equation t Generators 2850n1 [1,0,1,164,518] 2 [7:41:1] 2850n2 [1,0,1,-786,4318] 2 [-28:81:1]
2850o (2 curves)	0	2+ 3- 5- 19-	2+ 3- 5-  2  3  2  6 19-
Curve Equation t 2850o1 [1,0,1,174,1048] 3 2850o2 [1,0,1,-1701,-43952] 1
2850p (4 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+  4 -4  6  6 19+
Curve Equation t 2850p1 [1,1,1,312,-1719] 4 2850p2 [1,1,1,-1688,-17719] 4 2850p3 [1,1,1,-24188,-1457719] 2 2850p4 [1,1,1,-11188,438281] 2
2850q (4 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+ -4  0 -2  2 19+
Curve Equation t 2850q1 [1,1,1,91912,-64331719] 4 2850q2 [1,1,1,-1956088,-998219719] 4 2850q3 [1,1,1,-30836088,-65920459719] 2 2850q4 [1,1,1,-5844088,4196148281] 2
2850r (4 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+ -2  0 -2  0 19-
Curve Equation t Generators 2850r1 [1,1,1,-563,63281] 2 [-25:262:1] 2850r2 [1,1,1,-27563,1737281] 2 [65:442:1] 2850r3 [1,1,1,5062,-1702969] 2 [125:887:1] 2850r4 [1,1,1,-186938,-30118969] 2 [-235:1067:1]
2850s (2 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+ -2  3 -2 -6 19-
Curve Equation t Generators 2850s1 [1,1,1,7,11] 1 [-1:2:1] 2850s2 [1,1,1,-68,-379] 1 [11:13:1]
2850t (1 curve)	1	2- 3+ 5- 19+	2- 3+ 5-  0  1 -4 -4 19+
Curve Equation t Generators 2850t1 [1,1,1,987,-56469] 1 [135:-1668:1]
2850u (2 curves)	1	2- 3+ 5- 19+	2- 3+ 5-  0 -4  2 -6 19+
Curve Equation t Generators 2850u1 [1,1,1,-158,731] 2 [9:-17:1] 2850u2 [1,1,1,-2558,48731] 2 [5:187:1]
2850v (2 curves)	1	2- 3+ 5- 19+	2- 3+ 5-  0 -4 -4  6 19+
Curve Equation t Generators 2850v1 [1,1,1,4112,64781] 2 [985:30507:1] 2850v2 [1,1,1,-19638,539781] 2 [7918:242859:8]
2850w (2 curves)	1	2- 3- 5+ 19+	2- 3- 5+ -2 -3 -6 -2 19+
Curve Equation t Generators 2850w1 [1,0,0,4772,7952] 5 [26:374:1] 2850w2 [1,0,0,-496888,-134878108] 1 [149920:3867538:125]
2850x (2 curves)	1	2- 3- 5+ 19+	2- 3- 5+ -2 -6  0 -2 19+
Curve Equation t Generators 2850x1 [1,0,0,-2463,51417] 2 [-18:309:1] 2850x2 [1,0,0,-40463,3129417] 2 [172:-1211:1]
2850y (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+  2 -2  0  2 19-
Curve Equation t 2850y1 [1,0,0,-438,9492] 2 2850y2 [1,0,0,-9938,379992] 2
2850z (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+  2  4  6 -4 19-
Curve Equation t 2850z1 [1,0,0,-1963,-117583] 2 2850z2 [1,0,0,-49963,-4293583] 2
2850ba (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+ -4  4  0  2 19-
Curve Equation t 2850ba1 [1,0,0,-2388,-45108] 2 2850ba2 [1,0,0,-2138,-54858] 2
2850bb (1 curve)	1	2- 3- 5- 19-	2- 3- 5- -4 -1  0 -8 19-
Curve Equation t Generators 2850bb1 [1,0,0,-513,4617] 1 [12:9:1]

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