Cremona's table of elliptic curves

37050 = 2 · 3 · 5² · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
37050a (6 curves)	1	2+ 3+ 5+ 13+ 19+	2+ 3+ 5+  0  4 13+ -2 19+
Curve Equation t Generators 37050a1 [1,1,0,-975,73125] 2 [-25:300:1] 37050a2 [1,1,0,-32975,2281125] 4 [-115:2195:1] 37050a3 [1,1,0,-50975,-508875] 4 [-131:2051:1] 37050a4 [1,1,0,-526975,147023125] 2 [419:-199:1] 37050a5 [1,1,0,202525,-3804375] 2 [775:24500:1] 37050a6 [1,1,0,-592475,-175413375] 2 [-431:551:1]
37050b (1 curve)	1	2+ 3+ 5+ 13+ 19+	2+ 3+ 5+ -1  1 13+ -3 19+
Curve Equation t Generators 37050b1 [1,1,0,-42200,106824000] 1 [-16:10376:1]
37050c (1 curve)	1	2+ 3+ 5+ 13+ 19+	2+ 3+ 5+ -1 -1 13+  3 19+
Curve Equation t Generators 37050c1 [1,1,0,-695325,286552125] 1 [-699:21126:1]
37050d (2 curves)	1	2+ 3+ 5+ 13+ 19+	2+ 3+ 5+  2 -4 13+  6 19+
Curve Equation t Generators 37050d1 [1,1,0,23125,232125] 2 [395:8240:1] 37050d2 [1,1,0,-93875,1753125] 2 [-195:3660:1]
37050e (1 curve)	1	2+ 3+ 5+ 13+ 19+	2+ 3+ 5+  3  1 13+ -2 19+
Curve Equation t Generators 37050e1 [1,1,0,-1900,-32750] 1 [1035:32770:1]
37050f (3 curves)	0	2+ 3+ 5+ 13+ 19-	2+ 3+ 5+  1 -3 13+  6 19-
Curve Equation t 37050f1 [1,1,0,-20150,1852500] 1 37050f2 [1,1,0,168850,-33490500] 1 37050f3 [1,1,0,-5203400,-4593048750] 1
37050g (3 curves)	0	2+ 3+ 5+ 13+ 19-	2+ 3+ 5+  1 -6 13+  0 19-
Curve Equation t 37050g1 [1,1,0,323700,52722000] 1 37050g2 [1,1,0,-3348300,-3180582000] 1 37050g3 [1,1,0,-296647800,-1966695505500] 1
37050h (4 curves)	0	2+ 3+ 5+ 13+ 19-	2+ 3+ 5+  4  0 13+  0 19-
Curve Equation t 37050h1 [1,1,0,-187150,31112500] 2 37050h2 [1,1,0,-2995150,1993904500] 2 37050h3 [1,1,0,226850,140894500] 2 37050h4 [1,1,0,-3068650,1890805000] 2
37050i (4 curves)	0	2+ 3+ 5+ 13- 19+	2+ 3+ 5+  0 -4 13- -2 19+
Curve Equation t 37050i1 [1,1,0,-48775,-4164875] 2 37050i2 [1,1,0,-56775,-2716875] 4 37050i3 [1,1,0,190225,-19759875] 2 37050i4 [1,1,0,-431775,107158125] 2
37050j (1 curve)	0	2+ 3+ 5+ 13- 19+	2+ 3+ 5+  1 -5 13- -6 19+
Curve Equation t 37050j1 [1,1,0,-316125,72309375] 1
37050k (1 curve)	0	2+ 3+ 5+ 13- 19+	2+ 3+ 5+  3  2 13-  4 19+
Curve Equation t 37050k1 [1,1,0,-5050,140500] 1
37050l (1 curve)	0	2+ 3+ 5+ 13- 19+	2+ 3+ 5+ -4  5 13- -1 19+
Curve Equation t 37050l1 [1,1,0,-15125,-841875] 1
37050m (2 curves)	0	2+ 3+ 5- 13+ 19+	2+ 3+ 5-  2 -3 13+ -3 19+
Curve Equation t 37050m1 [1,1,0,18050,52750] 1 37050m2 [1,1,0,-1988825,1078837125] 1
37050n (2 curves)	0	2+ 3+ 5- 13+ 19+	2+ 3+ 5-  2  6 13+  6 19+
Curve Equation t 37050n1 [1,1,0,-45258200,-1094316216000] 2 37050n2 [1,1,0,-1893578200,-31526905016000] 2
37050o (1 curve)	0	2+ 3+ 5- 13+ 19+	2+ 3+ 5- -2  1 13+ -2 19+
Curve Equation t 37050o1 [1,1,0,87600,88175700] 1
37050p (2 curves)	1	2+ 3+ 5- 13+ 19-	2+ 3+ 5-  2 -2 13+  6 19-
Curve Equation t Generators 37050p1 [1,1,0,-76960,-8268800] 2 [491:8276:1] 37050p2 [1,1,0,-1232160,-526953600] 2 [49737:-1612708:27]
37050q (2 curves)	1	2+ 3+ 5- 13+ 19-	2+ 3+ 5- -2  0 13+ -2 19-
Curve Equation t Generators 37050q1 [1,1,0,455,-5675] 2 [30:-205:1] 37050q2 [1,1,0,-3445,-64175] 2 [-45:70:1]
37050r (2 curves)	1	2+ 3+ 5- 13+ 19-	2+ 3+ 5- -4  4 13+  0 19-
Curve Equation t Generators 37050r1 [1,1,0,2925,-30375] 2 [36:333:1] 37050r2 [1,1,0,-13325,-274125] 2 [161:1256:1]
37050s (1 curve)	1	2+ 3+ 5- 13- 19+	2+ 3+ 5-  3  1 13- -1 19+
Curve Equation t Generators 37050s1 [1,1,0,15050,956500] 1 [-36:626:1]
37050t (1 curve)	2	2+ 3+ 5- 13- 19-	2+ 3+ 5- -1 -5 13- -1 19-
Curve Equation t Generators 37050t1 [1,1,0,-4075,268225] 1 [-1320:16715:27]&[-74:451:1]
37050u (1 curve)	0	2+ 3+ 5- 13- 19-	2+ 3+ 5- -2  5 13-  7 19-
Curve Equation t 37050u1 [1,1,0,-5360,-480000] 1
37050v (6 curves)	0	2+ 3- 5+ 13+ 19+	2+ 3- 5+  0  4 13+ -2 19+
Curve Equation t 37050v1 [1,0,1,41124,8799898] 2 37050v2 [1,0,1,-470876,111199898] 4 37050v3 [1,0,1,-1822876,-829792102] 4 37050v4 [1,0,1,-7310876,7607839898] 2 37050v5 [1,0,1,2870124,-4396472102] 2 37050v6 [1,0,1,-28147876,-57481192102] 2
37050w (1 curve)	0	2+ 3- 5+ 13+ 19+	2+ 3- 5+  2  3 13+  2 19+
Curve Equation t 37050w1 [1,0,1,-216,-1382] 1
37050x (2 curves)	2	2+ 3- 5+ 13+ 19+	2+ 3- 5+ -2 -4 13+ -6 19+
Curve Equation t Generators 37050x1 [1,0,1,-17501,898148] 2 [42:-509:1]&[-108:1291:1] 37050x2 [1,0,1,-280751,57233648] 2 [-4394:56343:8]&[312:-344:1]
37050y (1 curve)	0	2+ 3- 5+ 13+ 19+	2+ 3- 5+  3  1 13+ -6 19+
Curve Equation t 37050y1 [1,0,1,-4227751,-3346246102] 1
37050z (1 curve)	0	2+ 3- 5+ 13+ 19+	2+ 3- 5+  3  2 13+  0 19+
Curve Equation t 37050z1 [1,0,1,-151,-12802] 1
37050ba (1 curve)	0	2+ 3- 5+ 13+ 19+	2+ 3- 5+  3 -5 13+  7 19+
Curve Equation t 37050ba1 [1,0,1,-1756576,897410798] 1
37050bb (4 curves)	0	2+ 3- 5+ 13+ 19+	2+ 3- 5+  4 -4 13+  6 19+
Curve Equation t 37050bb1 [1,0,1,-1117501,-939189352] 2 37050bb2 [1,0,1,-22749501,-41737141352] 4 37050bb3 [1,0,1,-27689501,-22283421352] 2 37050bb4 [1,0,1,-363921501,-2672173261352] 2
37050bc (4 curves)	1	2+ 3- 5+ 13+ 19-	2+ 3- 5+  0 -4 13+  2 19-
Curve Equation t Generators 37050bc1 [1,0,1,-19501,-1011352] 2 [-68:71:1] 37050bc2 [1,0,1,-51501,3148648] 4 [-58:2466:1] 37050bc3 [1,0,1,138499,21008648] 2 [-33:4066:1] 37050bc4 [1,0,1,-753501,251656648] 2 [482:471:1]
37050bd (1 curve)	0	2+ 3- 5+ 13- 19-	2+ 3- 5+  1 -2 13-  0 19-
Curve Equation t 37050bd1 [1,0,1,474,3448] 1
37050be (2 curves)	1	2+ 3- 5- 13+ 19+	2+ 3- 5-  0 -4 13+ -2 19+
Curve Equation t Generators 37050be1 [1,0,1,244,758] 2 [3:37:1] 37050be2 [1,0,1,-1106,6158] 2 [-18:151:1]
37050bf (1 curve)	1	2+ 3- 5- 13+ 19+	2+ 3- 5-  2  3 13+ -3 19+
Curve Equation t Generators 37050bf1 [1,0,1,-991,15578] 1 [22:56:1]
37050bg (2 curves)	2	2+ 3- 5- 13+ 19-	2+ 3- 5- -4 -4 13+ -4 19-
Curve Equation t Generators 37050bg1 [1,0,1,-846,42688] 2 [-38:161:1]&[-266:1611:8] 37050bg2 [1,0,1,-24246,1446688] 2 [62:396:1]&[106:212:1]
37050bh (1 curve)	2	2+ 3- 5- 13- 19+	2+ 3- 5- -5 -3 13- -5 19+
Curve Equation t Generators 37050bh1 [1,0,1,-16476,883498] 1 [-58:1311:1]&[-139:771:1]
37050bi (2 curves)	1	2+ 3- 5- 13- 19-	2+ 3- 5- -1 -3 13- -3 19-
Curve Equation t Generators 37050bi1 [1,0,1,19924,-957202] 3 [177:-2939:1] 37050bi2 [1,0,1,-491951,-134044702] 1 [3063:163084:1]
37050bj (4 curves)	0	2- 3+ 5+ 13+ 19+	2- 3+ 5+  0  0 13+  6 19+
Curve Equation t 37050bj1 [1,1,1,-3691663,-2730874219] 2 37050bj2 [1,1,1,-4203663,-1924986219] 4 37050bj3 [1,1,1,13292337,-13787274219] 2 37050bj4 [1,1,1,-29891663,61524373781] 2
37050bk (1 curve)	0	2- 3+ 5+ 13+ 19+	2- 3+ 5+ -1  3 13+  2 19+
Curve Equation t 37050bk1 [1,1,1,-6338,-205969] 1
37050bl (1 curve)	0	2- 3+ 5+ 13+ 19+	2- 3+ 5+  5 -3 13+  5 19+
Curve Equation t 37050bl1 [1,1,1,-411888,110437281] 1
37050bm (2 curves)	1	2- 3+ 5+ 13+ 19-	2- 3+ 5+  1  0 13+  6 19-
Curve Equation t Generators 37050bm1 [1,1,1,212,-37219] 1 [31:3:1] 37050bm2 [1,1,1,-78163,-8444719] 1 [331:1278:1]
37050bn (2 curves)	1	2- 3+ 5+ 13+ 19-	2- 3+ 5+  1  3 13+ -6 19-
Curve Equation t Generators 37050bn1 [1,1,1,-3888,139281] 1 [105:897:1] 37050bn2 [1,1,1,31737,-2169219] 1 [75:762:1]
37050bo (2 curves)	1	2- 3+ 5+ 13+ 19-	2- 3+ 5+  1 -3 13+  3 19-
Curve Equation t Generators 37050bo1 [1,1,1,797,-7339] 1 [11:48:1] 37050bo2 [1,1,1,-19678,-1080229] 1 [179:993:1]
37050bp (4 curves)	1	2- 3+ 5+ 13- 19+	2- 3+ 5+  0  0 13-  6 19+
Curve Equation t Generators 37050bp1 [1,1,1,-125463,-17157219] 2 [-6713568:3281341:32768] 37050bp2 [1,1,1,-125963,-17014219] 4 [-1722:4289:8] 37050bp3 [1,1,1,-7213,-47651719] 2 [6068018:-126167325:10648] 37050bp4 [1,1,1,-252713,22785281] 2 [19078:902225:8]
37050bq (4 curves)	1	2- 3+ 5+ 13- 19+	2- 3+ 5+  0 -4 13- -2 19+
Curve Equation t Generators 37050bq1 [1,1,1,10062,28532031] 4 [-275:2387:1] 37050bq2 [1,1,1,-1341938,585556031] 4 [565:2567:1] 37050bq3 [1,1,1,-2966938,-1110943969] 2 [13271:1508955:1] 37050bq4 [1,1,1,-21348938,37958632031] 2 [2671:-1027:1]
37050br (1 curve)	1	2- 3+ 5+ 13- 19+	2- 3+ 5+ -3  5 13- -2 19+
Curve Equation t Generators 37050br1 [1,1,1,-13,-469] 1 [25:112:1]
37050bs (2 curves)	1	2- 3+ 5+ 13- 19+	2- 3+ 5+ -4  0 13- -4 19+
Curve Equation t Generators 37050bs1 [1,1,1,-403338,-113700969] 2 [1395:44477:1] 37050bs2 [1,1,1,-6721338,-6709692969] 2 [3339:88263:1]
37050bt (2 curves)	0	2- 3+ 5+ 13- 19-	2- 3+ 5+ -2  0 13- -4 19-
Curve Equation t 37050bt1 [1,1,1,-700103688,-7156909177719] 2 37050bt2 [1,1,1,-11213255688,-457035709561719] 2
37050bu (2 curves)	0	2- 3+ 5- 13- 19+	2- 3+ 5-  0 -4 13-  2 19+
Curve Equation t 37050bu1 [1,1,1,6112,94781] 2 37050bu2 [1,1,1,-27638,769781] 2
37050bv (1 curve)	0	2- 3+ 5- 13- 19+	2- 3+ 5- -2  3 13- -2 19+
Curve Equation t 37050bv1 [1,1,1,-5388,-172719] 1
37050bw (1 curve)	0	2- 3+ 5- 13- 19+	2- 3+ 5- -2  3 13-  3 19+
Curve Equation t 37050bw1 [1,1,1,-24763,1947281] 1
37050bx (1 curve)	2	2- 3+ 5- 13- 19+	2- 3+ 5- -3 -5 13- -7 19+
Curve Equation t Generators 37050bx1 [1,1,1,-70263,7151181] 1 [75:-1558:1]&[379:-6118:1]
37050by (2 curves)	1	2- 3+ 5- 13- 19-	2- 3+ 5-  4 -4 13-  4 19-
Curve Equation t Generators 37050by1 [1,1,1,-21138,5336031] 2 [19:-2233:1] 37050by2 [1,1,1,-606138,180836031] 2 [-165:16707:1]
37050bz (1 curve)	1	2- 3- 5+ 13+ 19+	2- 3- 5+ -3  1 13+  1 19+
Curve Equation t Generators 37050bz1 [1,0,0,602,7652] 1 [8:-118:1]
37050ca (1 curve)	0	2- 3- 5+ 13+ 19-	2- 3- 5+  1 -5 13+  1 19-
Curve Equation t 37050ca1 [1,0,0,-101888,33731892] 1
37050cb (1 curve)	0	2- 3- 5+ 13+ 19-	2- 3- 5+ -3 -1 13+  6 19-
Curve Equation t 37050cb1 [1,0,0,50912,2894042] 1
37050cc (4 curves)	0	2- 3- 5+ 13- 19+	2- 3- 5+  0 -4 13-  2 19+
Curve Equation t 37050cc1 [1,0,0,-15938,-2354508] 4 37050cc2 [1,0,0,-380438,-90199008] 4 37050cc3 [1,0,0,-508688,-24150258] 2 37050cc4 [1,0,0,-6084188,-5776837758] 2
37050cd (1 curve)	0	2- 3- 5+ 13- 19+	2- 3- 5+  2  1 13-  2 19+
Curve Equation t 37050cd1 [1,0,0,2189987,11017582517] 1
37050ce (2 curves)	0	2- 3- 5+ 13- 19+	2- 3- 5+  2  4 13-  2 19+
Curve Equation t 37050ce1 [1,0,0,312,-2345508] 2 37050ce2 [1,0,0,-262938,-51046758] 2
37050cf (1 curve)	0	2- 3- 5+ 13- 19+	2- 3- 5+ -4  1 13- -7 19+
Curve Equation t 37050cf1 [1,0,0,-9938,-6651258] 1
37050cg (4 curves)	0	2- 3- 5+ 13- 19+	2- 3- 5+ -4  4 13-  2 19+
Curve Equation t 37050cg1 [1,0,0,7918937,6631692617] 4 37050cg2 [1,0,0,-40753063,59635500617] 4 37050cg3 [1,0,0,-284503063,-1804320749383] 2 37050cg4 [1,0,0,-575755063,5316030150617] 2
37050ch (1 curve)	0	2- 3- 5+ 13- 19+	2- 3- 5+  5  1 13-  2 19+
Curve Equation t 37050ch1 [1,0,0,-2026438,5871515492] 1
37050ci (2 curves)	1	2- 3- 5+ 13- 19-	2- 3- 5+  0  0 13- -4 19-
Curve Equation t Generators 37050ci1 [1,0,0,113281162,393538544292] 2 [35212:6913594:1] 37050ci2 [1,0,0,-605566838,3601757168292] 2 [38956:6235930:1]
37050cj (1 curve)	1	2- 3- 5+ 13- 19-	2- 3- 5+  0 -3 13- -1 19-
Curve Equation t Generators 37050cj1 [1,0,0,-2463,-56583] 1 [72:339:1]
37050ck (1 curve)	1	2- 3- 5+ 13- 19-	2- 3- 5+  3 -3 13-  2 19-
Curve Equation t Generators 37050ck1 [1,0,0,-329888,87739392] 1 [-338:12844:1]
37050cl (1 curve)	1	2- 3- 5+ 13- 19-	2- 3- 5+ -3  0 13-  2 19-
Curve Equation t Generators 37050cl1 [1,0,0,296387,141679217] 1 [698:25895:1]
37050cm (1 curve)	1	2- 3- 5- 13+ 19-	2- 3- 5-  2  5 13+ -7 19-
Curve Equation t Generators 37050cm1 [1,0,0,-134013,-59731983] 1 [1002:-29001:1]
37050cn (1 curve)	1	2- 3- 5- 13- 19+	2- 3- 5-  1  1 13-  3 19+
Curve Equation t Generators 37050cn1 [1,0,0,-1688,854592] 1 [472:-10496:1]
37050co (1 curve)	1	2- 3- 5- 13- 19+	2- 3- 5-  1 -1 13- -3 19+
Curve Equation t Generators 37050co1 [1,0,0,-27813,2292417] 1 [168:-1623:1]
37050cp (2 curves)	1	2- 3- 5- 13- 19+	2- 3- 5- -2 -3 13-  3 19+
Curve Equation t Generators 37050cp1 [1,0,0,722,422] 1 [8682:62159:216] 37050cp2 [1,0,0,-79553,8630697] 5 [-68:3739:1]
37050cq (2 curves)	1	2- 3- 5- 13- 19+	2- 3- 5- -2  6 13- -6 19+
Curve Equation t Generators 37050cq1 [1,0,0,-1810328,-8754529728] 2 [2992:-113816:1] 37050cq2 [1,0,0,-75743128,-252215240128] 2 [-4792:29072:1]
37050cr (2 curves)	0	2- 3- 5- 13- 19-	2- 3- 5-  2  0 13-  2 19-
Curve Equation t 37050cr1 [1,0,0,11362,-732108] 2 37050cr2 [1,0,0,-86138,-7849608] 2
37050cs (2 curves)	0	2- 3- 5- 13- 19-	2- 3- 5- -2 -2 13- -6 19-
Curve Equation t 37050cs1 [1,0,0,-1924013,-1029751983] 2 37050cs2 [1,0,0,-30804013,-65807591983] 2
37050ct (2 curves)	0	2- 3- 5- 13- 19-	2- 3- 5-  4  4 13-  0 19-
Curve Equation t 37050ct1 [1,0,0,117,-243] 2 37050ct2 [1,0,0,-533,-2193] 2

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