Cremona's table of elliptic curves

80370 = 2 · 3² · 5 · 19 · 47

Class	r	Atkin-Lehner	Eigenvalues
80370a (2 curves)	0	2+ 3+ 5+ 19- 47+	2+ 3+ 5+ -2  0  6  6 19-
Curve Equation t 80370a1 [1,-1,0,-1266720,-542485504] 2 80370a2 [1,-1,0,-2372640,548172800] 2
80370b (2 curves)	1	2+ 3+ 5+ 19- 47-	2+ 3+ 5+ -4  4 -2  4 19-
Curve Equation t Generators 80370b1 [1,-1,0,7950,436436] 2 [-19:537:1] 80370b2 [1,-1,0,-61170,4735700] 2 [-205:3040:1]
80370c (2 curves)	0	2+ 3+ 5- 19+ 47+	2+ 3+ 5-  0  4  2  4 19+
Curve Equation t 80370c1 [1,-1,0,-144,-1600] 2 80370c2 [1,-1,0,-3144,-67000] 2
80370d (1 curve)	1	2+ 3+ 5- 19+ 47-	2+ 3+ 5-  2 -5  6 -3 19+
Curve Equation t Generators 80370d1 [1,-1,0,-1323069,1094128325] 1 [-694:41307:1]
80370e (1 curve)	1	2+ 3+ 5- 19+ 47-	2+ 3+ 5-  4 -2 -1 -1 19+
Curve Equation t Generators 80370e1 [1,-1,0,-1396884,-716548400] 1 [54096755751036331640102809:20223237680189909962220201242:386027289176779656251]
80370f (2 curves)	1	2+ 3+ 5- 19- 47+	2+ 3+ 5-  2  2 -4 -2 19-
Curve Equation t Generators 80370f1 [1,-1,0,52836,-423152] 2 [32:1124:1] 80370f2 [1,-1,0,-212244,-3233000] 2 [-39:2252:1]
80370g (2 curves)	1	2+ 3+ 5- 19- 47+	2+ 3+ 5- -4 -6 -1 -3 19-
Curve Equation t Generators 80370g1 [1,-1,0,141,2115] 3 [-9:12:1] 80370g2 [1,-1,0,-1284,-62200] 1 [422:761:8]
80370h (1 curve)	2	2+ 3+ 5- 19- 47-	2+ 3+ 5- -2 -5  2 -3 19-
Curve Equation t Generators 80370h1 [1,-1,0,6666,-235660] 1 [31:-8:1]&[44:354:1]
80370i (6 curves)	0	2+ 3- 5+ 19+ 47+	2+ 3- 5+  0 -4 -2  6 19+
Curve Equation t 80370i1 [1,-1,0,-22860,12416976] 2 80370i2 [1,-1,0,-955980,357858000] 4 80370i3 [1,-1,0,-1571580,-158876640] 2 80370i4 [1,-1,0,-15270300,22971620736] 4 80370i5 [1,-1,0,-15244920,23051765700] 2 80370i6 [1,-1,0,-244324800,1470000519036] 2
80370j (1 curve)	1	2+ 3- 5+ 19- 47+	2+ 3- 5+  0 -1 -5  6 19-
Curve Equation t Generators 80370j1 [1,-1,0,-3015,-31019] 1 [-13:83:1]
80370k (2 curves)	1	2+ 3- 5+ 19- 47+	2+ 3- 5+  2  2 -4  0 19-
Curve Equation t Generators 80370k1 [1,-1,0,-1125,12181] 2 [35:104:1] 80370k2 [1,-1,0,-5445,-142475] 2 [-37:104:1]
80370l (2 curves)	1	2+ 3- 5+ 19- 47+	2+ 3- 5+ -2 -2 -4  0 19-
Curve Equation t Generators 80370l1 [1,-1,0,-1180485,492786261] 2 [595:584:1] 80370l2 [1,-1,0,-18875205,31568253525] 2 [2403:7893:1]
80370m (1 curve)	1	2+ 3- 5+ 19- 47+	2+ 3- 5+ -2 -5  5 -6 19-
Curve Equation t Generators 80370m1 [1,-1,0,-180,-810] 1 [-9:9:1]
80370n (4 curves)	0	2+ 3- 5+ 19- 47-	2+ 3- 5+  0  0  2  6 19-
Curve Equation t 80370n1 [1,-1,0,51885,-6345675] 2 80370n2 [1,-1,0,-362835,-65318859] 4 80370n3 [1,-1,0,-1922355,970514325] 2 80370n4 [1,-1,0,-5438835,-4880412459] 2
80370o (1 curve)	0	2+ 3- 5+ 19- 47-	2+ 3- 5+  4  3  3 -2 19-
Curve Equation t 80370o1 [1,-1,0,-83565,9128965] 1
80370p (1 curve)	1	2+ 3- 5- 19+ 47+	2+ 3- 5-  0  1  5 -2 19+
Curve Equation t Generators 80370p1 [1,-1,0,-11859,483893] 1 [-77:1006:1]
80370q (1 curve)	2	2+ 3- 5- 19+ 47-	2+ 3- 5- -2  1 -4 -1 19+
Curve Equation t Generators 80370q1 [1,-1,0,-922374,359356468] 1 [-628:26594:1]&[1606:107197:8]
80370r (2 curves)	0	2+ 3- 5- 19+ 47-	2+ 3- 5- -2 -2  0  0 19+
Curve Equation t 80370r1 [1,-1,0,-6669,-122715] 2 80370r2 [1,-1,0,-94149,-11092707] 2
80370s (2 curves)	2	2+ 3- 5- 19+ 47-	2+ 3- 5- -2 -2 -4 -4 19+
Curve Equation t Generators 80370s1 [1,-1,0,-999,-10967] 2 [-21:31:1]&[-16:35:1] 80370s2 [1,-1,0,-3429,65335] 2 [-61:242:1]&[-49:362:1]
80370t (4 curves)	0	2+ 3- 5- 19- 47+	2+ 3- 5-  0 -4  2 -2 19-
Curve Equation t 80370t1 [1,-1,0,-220321809,1258790193805] 2 80370t2 [1,-1,0,-220321989,1258788034273] 4 80370t3 [1,-1,0,-217238319,1295732251075] 2 80370t4 [1,-1,0,-223408539,1221705605263] 2
80370u (1 curve)	0	2+ 3- 5- 19- 47+	2+ 3- 5- -1 -4  7 -1 19-
Curve Equation t 80370u1 [1,-1,0,1819611,-2597923827] 1
80370v (2 curves)	0	2+ 3- 5- 19- 47+	2+ 3- 5-  2  3 -1  0 19-
Curve Equation t 80370v1 [1,-1,0,-8469,-292275] 1 80370v2 [1,-1,0,-80379,8669403] 3
80370w (1 curve)	0	2+ 3- 5- 19- 47+	2+ 3- 5- -3  2 -7  7 19-
Curve Equation t 80370w1 [1,-1,0,-81639,-12801155] 1
80370x (2 curves)	0	2+ 3- 5- 19- 47+	2+ 3- 5- -4 -4  4  2 19-
Curve Equation t 80370x1 [1,-1,0,-2979,-2911275] 2 80370x2 [1,-1,0,-324459,-70229187] 2
80370y (2 curves)	1	2+ 3- 5- 19- 47-	2+ 3- 5-  2 -3 -4  3 19-
Curve Equation t Generators 80370y1 [1,-1,0,-13599,824013] 1 [94:561:1] 80370y2 [1,-1,0,-1203759,508644765] 3 [-74:24477:1]
80370z (1 curve)	0	2- 3+ 5+ 19+ 47+	2- 3+ 5+  2  5  6  3 19+
Curve Equation t 80370z1 [1,-1,1,-147008,-40474269] 1
80370ba (1 curve)	0	2- 3+ 5+ 19+ 47+	2- 3+ 5+  4  2 -1  1 19+
Curve Equation t 80370ba1 [1,-1,1,-12571958,19359378757] 1
80370bb (2 curves)	1	2- 3+ 5+ 19+ 47-	2- 3+ 5+  0 -4  2 -4 19+
Curve Equation t Generators 80370bb1 [1,-1,1,-1298,44497] 2 [7:185:1] 80370bb2 [1,-1,1,-28298,1837297] 2 [83:193:1]
80370bc (1 curve)	1	2- 3+ 5+ 19- 47+	2- 3+ 5+ -2  5  2  3 19-
Curve Equation t Generators 80370bc1 [1,-1,1,59992,6302827] 1 [-83:905:1]
80370bd (2 curves)	0	2- 3+ 5+ 19- 47-	2- 3+ 5+  2 -2 -4  2 19-
Curve Equation t 80370bd1 [1,-1,1,475522,10949581] 2 80370bd2 [1,-1,1,-1910198,89201197] 2
80370be (2 curves)	0	2- 3+ 5+ 19- 47-	2- 3+ 5+ -4  6 -1  3 19-
Curve Equation t 80370be1 [1,-1,1,-143,2351] 3 80370be2 [1,-1,1,1267,-58373] 1
80370bf (2 curves)	2	2- 3+ 5- 19- 47+	2- 3+ 5- -4 -4 -2 -4 19-
Curve Equation t Generators 80370bf1 [1,-1,1,883,-16459] 2 [21:94:1]&[31:184:1] 80370bf2 [1,-1,1,-6797,-173131] 2 [-63:76:1]&[-53:216:1]
80370bg (2 curves)	1	2- 3+ 5- 19- 47-	2- 3+ 5- -2  0  6 -6 19-
Curve Equation t Generators 80370bg1 [1,-1,1,-140747,20138971] 2 [251:634:1] 80370bg2 [1,-1,1,-263627,-20214821] 2 [-113:2906:1]
80370bh (1 curve)	1	2- 3- 5+ 19+ 47+	2- 3- 5+  1  0  1 -3 19+
Curve Equation t Generators 80370bh1 [1,-1,1,2122,37] 1 [173:2263:1]
80370bi (1 curve)	1	2- 3- 5+ 19+ 47+	2- 3- 5+ -1  4  5 -5 19+
Curve Equation t Generators 80370bi1 [1,-1,1,-5111798,4896626181] 1 [-615:88667:1]
80370bj (1 curve)	1	2- 3- 5+ 19+ 47+	2- 3- 5+  2 -2  3 -3 19+
Curve Equation t Generators 80370bj1 [1,-1,1,-2752853,1760419757] 1 [1035:3856:1]
80370bk (1 curve)	1	2- 3- 5+ 19+ 47+	2- 3- 5+  2  5  3  0 19+
Curve Equation t Generators 80370bk1 [1,-1,1,-428,-3153] 1 [-13:15:1]
80370bl (1 curve)	1	2- 3- 5+ 19+ 47+	2- 3- 5+ -3 -6  3  3 19+
Curve Equation t Generators 80370bl1 [1,-1,1,-1598,-24253] 1 [374:129:8]
80370bm (2 curves)	1	2- 3- 5+ 19+ 47+	2- 3- 5+ -4 -4  0 -6 19+
Curve Equation t Generators 80370bm1 [1,-1,1,10462,530781] 2 [-2:5811:8] 80370bm2 [1,-1,1,-69908,5417277] 2 [3006:43815:8]
80370bn (1 curve)	0	2- 3- 5+ 19+ 47-	2- 3- 5+ -2  1  7  4 19+
Curve Equation t 80370bn1 [1,-1,1,-6313118,-6074552019] 1
80370bo (1 curve)	0	2- 3- 5+ 19+ 47-	2- 3- 5+ -2 -5  4  7 19+
Curve Equation t 80370bo1 [1,-1,1,-428,-27169] 1
80370bp (1 curve)	0	2- 3- 5+ 19- 47+	2- 3- 5+ -1 -2  1  5 19-
Curve Equation t 80370bp1 [1,-1,1,-2072153,1290467737] 1
80370bq (1 curve)	0	2- 3- 5+ 19- 47+	2- 3- 5+  2 -1  7 -6 19-
Curve Equation t 80370bq1 [1,-1,1,-1592753,-751190079] 1
80370br (4 curves)	1	2- 3- 5+ 19- 47-	2- 3- 5+  0  4  2 -6 19-
Curve Equation t Generators 80370br1 [1,-1,1,202,6581] 2 [-9:67:1] 80370br2 [1,-1,1,-4298,103781] 4 [-130:3351:8] 80370br3 [1,-1,1,-12848,-429739] 2 [10164:73699:64] 80370br4 [1,-1,1,-67748,6804101] 2 [1598:8003:8]
80370bs (4 curves)	1	2- 3- 5+ 19- 47-	2- 3- 5+  0 -4  6 -2 19-
Curve Equation t Generators 80370bs1 [1,-1,1,-7583,256007] 2 [57:52:1] 80370bs2 [1,-1,1,-8303,205031] 4 [-87:556:1] 80370bs3 [1,-1,1,22477,1350047] 2 [-33:772:1] 80370bs4 [1,-1,1,-50603,-4211089] 2 [1491:56116:1]
80370bt (2 curves)	1	2- 3- 5+ 19- 47-	2- 3- 5+  2  3 -1 -6 19-
Curve Equation t Generators 80370bt1 [1,-1,1,-166883,-26198269] 1 [-29445:15794:125] 80370bt2 [1,-1,1,-229658,-4685479] 3 [-219:6031:1]
80370bu (1 curve)	1	2- 3- 5+ 19- 47-	2- 3- 5+  4  3 -3 -6 19-
Curve Equation t Generators 80370bu1 [1,-1,1,-99893,-9844019] 1 [-209:1472:1]
80370bv (1 curve)	0	2- 3- 5- 19+ 47+	2- 3- 5-  2 -3 -3 -2 19+
Curve Equation t 80370bv1 [1,-1,1,-1172552,-42696471] 1
80370bw (4 curves)	2	2- 3- 5- 19+ 47+	2- 3- 5- -4  0 -2 -6 19+
Curve Equation t Generators 80370bw1 [1,-1,1,-27842,-1475391] 2 [257:-3009:1]&[-111:543:1] 80370bw2 [1,-1,1,-131522,17021121] 4 [431:-6561:1]&[-339:4919:1] 80370bw3 [1,-1,1,138478,77717121] 2 [231:-11161:1]&[-231:5891:1] 80370bw4 [1,-1,1,-2060402,1138857729] 4 [-1513:28881:1]&[-1153:45081:1]
80370bx (1 curve)	1	2- 3- 5- 19+ 47-	2- 3- 5- -2  1  1 -2 19+
Curve Equation t Generators 80370bx1 [1,-1,1,-43457,3497681] 1 [111:-236:1]
80370by (2 curves)	1	2- 3- 5- 19+ 47-	2- 3- 5- -2 -2 -2 -2 19+
Curve Equation t Generators 80370by1 [1,-1,1,616423,224650227701] 2 [-18132440121:795697760606:3307949] 80370by2 [1,-1,1,-550641407,4890275997689] 2 [40259557354692:17408293260583211:211708736]
80370bz (1 curve)	1	2- 3- 5- 19+ 47-	2- 3- 5- -2 -2  3  3 19+
Curve Equation t Generators 80370bz1 [1,-1,1,418,749] 1 [9:-77:1]
80370ca (1 curve)	1	2- 3- 5- 19- 47+	2- 3- 5- -1  2  5  1 19-
Curve Equation t Generators 80370ca1 [1,-1,1,2083,145509] 1 [27:-484:1]
80370cb (1 curve)	1	2- 3- 5- 19- 47+	2- 3- 5-  2  2  1 -7 19-
Curve Equation t Generators 80370cb1 [1,-1,1,-1337,37361] 1 [81:634:1]
80370cc (4 curves)	0	2- 3- 5- 19- 47-	2- 3- 5-  2 -6 -4  0 19-
Curve Equation t 80370cc1 [1,-1,1,-774617,37819001] 2 80370cc2 [1,-1,1,-7860497,-8439727831] 2 80370cc3 [1,-1,1,-46275152,121174204979] 6 80370cc4 [1,-1,1,-46897232,117749281331] 6

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