Cremona's table of elliptic curves

114570 = 2 · 3² · 5 · 19 · 67

Class	r	Atkin-Lehner	Eigenvalues
114570a (2 curves)	0	2+ 3+ 5+ 19- 67+	2+ 3+ 5+ -4  4 -2  4 19-
Curve Equation t 114570a1 [1,-1,0,-22830,-1139500] 2 114570a2 [1,-1,0,-351150,-80001964] 2
114570b (2 curves)	1	2+ 3+ 5+ 19- 67-	2+ 3+ 5+  0  0 -6  4 19-
Curve Equation t Generators 114570b1 [1,-1,0,-12705,544301] 2 [-50:1051:1] 114570b2 [1,-1,0,795,1632401] 2 [13:-1289:1]
114570c (2 curves)	1	2+ 3+ 5- 19+ 67-	2+ 3+ 5-  2  0  0  4 19+
Curve Equation t Generators 114570c1 [1,-1,0,-550719,-157124275] 2 [1526:49777:1] 114570c2 [1,-1,0,-625719,-111509275] 2 [3331:184762:1]
114570d (2 curves)	1	2+ 3+ 5- 19+ 67-	2+ 3+ 5-  2  0 -4  0 19+
Curve Equation t Generators 114570d1 [1,-1,0,-37794,-2818592] 2 [272:2504:1] 114570d2 [1,-1,0,-37824,-2813870] 2 [-882:1111:8]
114570e (2 curves)	1	2+ 3+ 5- 19+ 67-	2+ 3+ 5- -2 -2  0  6 19+
Curve Equation t Generators 114570e1 [1,-1,0,681,25993] 2 [3:166:1] 114570e2 [1,-1,0,-10149,366055] 2 [95:-550:1]
114570f (2 curves)	1	2+ 3+ 5- 19+ 67-	2+ 3+ 5-  4  4  2 -4 19+
Curve Equation t Generators 114570f1 [1,-1,0,-1284,14588] 2 [47:214:1] 114570f2 [1,-1,0,-6414,-183430] 2 [101:387:1]
114570g (2 curves)	2	2+ 3+ 5- 19- 67-	2+ 3+ 5- -2  0 -4 -4 19-
Curve Equation t Generators 114570g1 [1,-1,0,-263259,50317265] 2 [-571:4057:1]&[-229:10042:1] 114570g2 [1,-1,0,-4172889,3282017423] 2 [-1553:78334:1]&[-913:80019:1]
114570h (2 curves)	0	2+ 3- 5+ 19+ 67+	2+ 3- 5+  2  4  0  2 19+
Curve Equation t 114570h1 [1,-1,0,-83250,-8872700] 2 114570h2 [1,-1,0,-1317870,-581983304] 2
114570i (2 curves)	0	2+ 3- 5+ 19+ 67+	2+ 3- 5+  2  4  6  8 19+
Curve Equation t 114570i1 [1,-1,0,60955425,-351235101875] 2 114570i2 [1,-1,0,-531817695,-3987423974579] 2
114570j (4 curves)	0	2+ 3- 5+ 19+ 67+	2+ 3- 5+  4  4 -2 -6 19+
Curve Equation t 114570j1 [1,-1,0,-13905,-626675] 2 114570j2 [1,-1,0,-18405,-182975] 4 114570j3 [1,-1,0,72045,-1503545] 2 114570j4 [1,-1,0,-180855,29480395] 2
114570k (1 curve)	1	2+ 3- 5+ 19+ 67-	2+ 3- 5+  0  2  1  4 19+
Curve Equation t Generators 114570k1 [1,-1,0,1395,-6939] 1 [390:3153:8]
114570l (4 curves)	1	2+ 3- 5+ 19+ 67-	2+ 3- 5+  0  4 -2 -2 19+
Curve Equation t Generators 114570l1 [1,-1,0,-13732335,-19862380499] 2 [3120935125:4777444387294:1331] 114570l2 [1,-1,0,-220585455,-1260939729875] 4 [-895980195026636722006:436230556143370127867:104451842249968123] 114570l3 [1,-1,0,-221453775,-1250511380339] 2 [4267015733246091303014681321245480719790419:105130123312676006853993664812375531903785903:244654644204049744525189070494494121563] 114570l4 [1,-1,0,-3529367055,-80702800676915] 2 [-315962304191661664758385181658171466619991:157980885947230356846223816118790918540122:9211930417372334257756857699678960513]
114570m (2 curves)	1	2+ 3- 5+ 19+ 67-	2+ 3- 5+ -2 -2 -2 -2 19+
Curve Equation t Generators 114570m1 [1,-1,0,-16335,69741] 2 [-117:666:1] 114570m2 [1,-1,0,-171855,-27270675] 2 [-245:410:1]
114570n (1 curve)	1	2+ 3- 5+ 19+ 67-	2+ 3- 5+ -3  5 -4  6 19+
Curve Equation t Generators 114570n1 [1,-1,0,-4275,-147339] 1 [181:2142:1]
114570o (1 curve)	1	2+ 3- 5+ 19- 67+	2+ 3- 5+ -2  4 -3 -2 19-
Curve Equation t Generators 114570o1 [1,-1,0,-556380,-160469424] 1 [40635:8169471:1]
114570p (1 curve)	0	2+ 3- 5+ 19- 67-	2+ 3- 5+ -1 -3  6  4 19-
Curve Equation t 114570p1 [1,-1,0,-119799495,-504666906179] 1
114570q (4 curves)	2	2+ 3- 5+ 19- 67-	2+ 3- 5+ -4  0 -6 -2 19-
Curve Equation t Generators 114570q1 [1,-1,0,38385,155724781] 2 [-3770:47713:8]&[-153:12170:1] 114570q2 [1,-1,0,-4120335,3150834925] 4 [-1762:71153:1]&[-1065:80095:1] 114570q3 [1,-1,0,-9250335,-6254507075] 2 [-1497:65839:1]&[-1363:62489:1] 114570q4 [1,-1,0,-65529855,204193321501] 2 [-7042:566021:1]&[-1534:549497:1]
114570r (2 curves)	1	2+ 3- 5- 19+ 67+	2+ 3- 5-  0  6  6 -6 19+
Curve Equation t Generators 114570r1 [1,-1,0,-34614,14853748] 2 [12:-3806:1] 114570r2 [1,-1,0,-1142694,468501700] 2 [491:-5308:1]
114570s (1 curve)	1	2+ 3- 5- 19+ 67+	2+ 3- 5-  4  6 -3  4 19+
Curve Equation t Generators 114570s1 [1,-1,0,-41724,346211280] 1 [7539:650814:1]
114570t (1 curve)	1	2+ 3- 5- 19+ 67+	2+ 3- 5- -5 -5 -2  0 19+
Curve Equation t Generators 114570t1 [1,-1,0,37253151,188207793405] 1 [-119:428747:1]
114570u (2 curves)	2	2+ 3- 5- 19+ 67-	2+ 3- 5-  0 -4 -4  0 19+
Curve Equation t Generators 114570u1 [1,-1,0,-14589,629073] 2 [-123:804:1]&[12:-681:1] 114570u2 [1,-1,0,-228339,42053823] 2 [297:-756:1]&[283:56:1]
114570v (2 curves)	0	2+ 3- 5- 19+ 67-	2+ 3- 5- -2  4  6  0 19+
Curve Equation t 114570v1 [1,-1,0,-86814,9873940] 2 114570v2 [1,-1,0,-1389294,630635908] 2
114570w (1 curve)	0	2+ 3- 5- 19- 67+	2+ 3- 5- -1 -5  6  8 19-
Curve Equation t 114570w1 [1,-1,0,-225144,-42175242] 1
114570x (2 curves)	0	2+ 3- 5- 19- 67+	2+ 3- 5-  2  4 -6 -4 19-
Curve Equation t 114570x1 [1,-1,0,-168039,-26467155] 2 114570x2 [1,-1,0,-150939,-32079375] 2
114570y (2 curves)	1	2+ 3- 5- 19- 67-	2+ 3- 5-  4  0  2  2 19-
Curve Equation t Generators 114570y1 [1,-1,0,4701,-668395] 2 [166:2077:1] 114570y2 [1,-1,0,-91779,-10065547] 2 [367:2179:1]
114570z (2 curves)	1	2- 3+ 5+ 19+ 67-	2- 3+ 5+  2  0  0 -4 19+
Curve Equation t Generators 114570z1 [1,-1,1,-4956473,4247311897] 2 [53:63098:1] 114570z2 [1,-1,1,-5631473,3016381897] 2 [-55:57698:1]
114570ba (2 curves)	1	2- 3+ 5+ 19+ 67-	2- 3+ 5+  2  0 -4  0 19+
Curve Equation t Generators 114570ba1 [1,-1,1,-340148,76442131] 2 [305:847:1] 114570ba2 [1,-1,1,-340418,76314907] 2 [19412:50887:64]
114570bb (2 curves)	1	2- 3+ 5+ 19+ 67-	2- 3+ 5+ -2  2  0 -6 19+
Curve Equation t Generators 114570bb1 [1,-1,1,6127,-707939] 2 [211912:4256359:512] 114570bb2 [1,-1,1,-91343,-9792143] 2 [13406:532375:8]
114570bc (2 curves)	1	2- 3+ 5+ 19+ 67-	2- 3+ 5+  4 -4  2  4 19+
Curve Equation t Generators 114570bc1 [1,-1,1,-143,-493] 2 [-34:51:8] 114570bc2 [1,-1,1,-713,7031] 2 [158:71:8]
114570bd (2 curves)	0	2- 3+ 5+ 19- 67-	2- 3+ 5+ -2  0 -4  4 19-
Curve Equation t 114570bd1 [1,-1,1,-2369333,-1356196823] 2 114570bd2 [1,-1,1,-37556003,-88576914419] 2
114570be (2 curves)	2	2- 3+ 5- 19- 67+	2- 3+ 5- -4 -4 -2 -4 19-
Curve Equation t Generators 114570be1 [1,-1,1,-2537,43049] 2 [57:256:1]&[-33:316:1] 114570be2 [1,-1,1,-39017,2976041] 2 [-1762:8247:8]&[111:4:1]
114570bf (2 curves)	1	2- 3+ 5- 19- 67-	2- 3+ 5-  0  0 -6 -4 19-
Curve Equation t Generators 114570bf1 [1,-1,1,-1412,-19689] 2 [-21:29:1] 114570bf2 [1,-1,1,88,-60489] 2 [89:759:1]
114570bg (2 curves)	1	2- 3- 5+ 19+ 67+	2- 3- 5+  4 -4  4  8 19+
Curve Equation t Generators 114570bg1 [1,-1,1,-2318,41181] 2 [21:27:1] 114570bg2 [1,-1,1,-36518,2695101] 2 [111:-49:1]
114570bh (4 curves)	2	2- 3- 5+ 19+ 67-	2- 3- 5+  0 -4 -2 -2 19+
Curve Equation t Generators 114570bh1 [1,-1,1,-8708,801191] 2 [-99:877:1]&[-27:1021:1] 114570bh2 [1,-1,1,-193028,32651687] 4 [297:-1355:1]&[-347:7773:1] 114570bh3 [1,-1,1,-247748,12689831] 2 [-365:7557:1]&[-2562:62783:8] 114570bh4 [1,-1,1,-3087428,2088833447] 2 [1017:-383:1]&[1027:165:1]
114570bi (2 curves)	0	2- 3- 5+ 19+ 67-	2- 3- 5+  4 -2 -2  2 19+
Curve Equation t 114570bi1 [1,-1,1,337,-4953] 2 114570bi2 [1,-1,1,-3083,-55569] 2
114570bj (4 curves)	0	2- 3- 5+ 19+ 67-	2- 3- 5+ -4  0  2 -2 19+
Curve Equation t 114570bj1 [1,-1,1,-2469083,1420597131] 2 114570bj2 [1,-1,1,-7193003,-5633160213] 4 114570bj3 [1,-1,1,17228497,-35632530813] 2 114570bj4 [1,-1,1,-107197223,-427130946669] 2
114570bk (2 curves)	0	2- 3- 5+ 19- 67+	2- 3- 5+  4  0 -4  8 19-
Curve Equation t 114570bk1 [1,-1,1,-18642443,-30349326693] 2 114570bk2 [1,-1,1,2151157,-94318757733] 2
114570bl (2 curves)	1	2- 3- 5+ 19- 67-	2- 3- 5+  2  0 -1  6 19-
Curve Equation t Generators 114570bl1 [1,-1,1,-4973,-135169] 1 [6804003984606:-169290592045997:11269556488] 114570bl2 [1,-1,1,17302,-701359] 3 [43326:3167483:8]
114570bm (4 curves)	1	2- 3- 5+ 19- 67-	2- 3- 5+  2  0 -4 -6 19-
Curve Equation t Generators 114570bm1 [1,-1,1,-5300033,-4695084223] 2 [6021:423184:1] 114570bm2 [1,-1,1,-5303453,-4688718919] 2 [258154365:18143780642:42875] 114570bm3 [1,-1,1,-5546408,-4234433173] 6 [-1323:28705:1] 114570bm4 [1,-1,1,-25300328,44976532331] 6 [7341:501121:1]
114570bn (2 curves)	1	2- 3- 5+ 19- 67-	2- 3- 5+  2  4  0 -2 19-
Curve Equation t Generators 114570bn1 [1,-1,1,-25853,992837] 2 [-63:1570:1] 114570bn2 [1,-1,1,-367853,85945637] 2 [405:1606:1]
114570bo (2 curves)	1	2- 3- 5+ 19- 67-	2- 3- 5+ -2 -4  2  0 19-
Curve Equation t Generators 114570bo1 [1,-1,1,-252014693,-2632210386019] 2 [8573929:-891251360:343] 114570bo2 [1,-1,1,-4781863013,-127226594397283] 2 [-13843991:-46678176:343]
114570bp (2 curves)	1	2- 3- 5+ 19- 67-	2- 3- 5+ -2 -4 -4  6 19-
Curve Equation t Generators 114570bp1 [1,-1,1,-5738,165017] 2 [27:157:1] 114570bp2 [1,-1,1,-91238,10630217] 2 [177:-143:1]
114570bq (2 curves)	1	2- 3- 5+ 19- 67-	2- 3- 5+  4 -4 -2 -6 19-
Curve Equation t Generators 114570bq1 [1,-1,1,4822,-4823] 2 [7:167:1] 114570bq2 [1,-1,1,-19298,-24119] 2 [-25:677:1]
114570br (2 curves)	2	2- 3- 5- 19+ 67+	2- 3- 5- -2  0 -4 -6 19+
Curve Equation t Generators 114570br1 [1,-1,1,-38147,-1781629] 2 [-69:754:1]&[-149:834:1] 114570br2 [1,-1,1,-257027,48910979] 2 [-513:7006:1]&[-423:9256:1]
114570bs (2 curves)	0	2- 3- 5- 19+ 67+	2- 3- 5- -2 -4  2  4 19+
Curve Equation t 114570bs1 [1,-1,1,4018,-167731] 2 114570bs2 [1,-1,1,-32162,-1817539] 2
114570bt (4 curves)	1	2- 3- 5- 19+ 67-	2- 3- 5-  0  0  2 -2 19+
Curve Equation t Generators 114570bt1 [1,-1,1,-53897,4829321] 2 [141:-206:1] 114570bt2 [1,-1,1,-56777,4286729] 4 [-141:3148:1] 114570bt3 [1,-1,1,114223,25011929] 2 [-123:3076:1] 114570bt4 [1,-1,1,-273857,-51198919] 2 [-275:1942:1]
114570bu (1 curve)	1	2- 3- 5- 19+ 67-	2- 3- 5-  1  3 -2  0 19+
Curve Equation t Generators 114570bu1 [1,-1,1,-4262,-147859] 1 [259:3879:1]
114570bv (2 curves)	1	2- 3- 5- 19+ 67-	2- 3- 5-  4 -2  2  0 19+
Curve Equation t Generators 114570bv1 [1,-1,1,-24422,-1787979] 2 [221:1779:1] 114570bv2 [1,-1,1,-414302,-102532971] 2 [-373:231:1]
114570bw (1 curve)	1	2- 3- 5- 19+ 67-	2- 3- 5- -4 -6  3 -8 19+
Curve Equation t Generators 114570bw1 [1,-1,1,223,-7271] 1 [37:-244:1]
114570bx (4 curves)	1	2- 3- 5- 19- 67+	2- 3- 5-  0 -4 -2 -2 19-
Curve Equation t Generators 114570bx1 [1,-1,1,-12812,393599] 4 [99:247:1] 114570bx2 [1,-1,1,-77792,-8027809] 4 [3518:50487:8] 114570bx3 [1,-1,1,36778,-29750281] 2 [18043620:849736919:8000] 114570bx4 [1,-1,1,-1232042,-526055209] 2 [19070:793571:8]
114570by (2 curves)	1	2- 3- 5- 19- 67+	2- 3- 5-  2 -4  4  2 19-
Curve Equation t Generators 114570by1 [1,-1,1,-118697,-15655579] 2 [2211:101494:1] 114570by2 [1,-1,1,-62447,-30573079] 2 [4638:88127:8]
114570bz (2 curves)	1	2- 3- 5- 19- 67+	2- 3- 5- -4  2 -6 -4 19-
Curve Equation t Generators 114570bz1 [1,-1,1,16843,-255859] 2 [19:256:1] 114570bz2 [1,-1,1,-70637,-2040451] 2 [-243:976:1]
114570ca (4 curves)	0	2- 3- 5- 19- 67-	2- 3- 5-  0  4 -6  6 19-
Curve Equation t 114570ca1 [1,-1,1,-3767,-135169] 2 114570ca2 [1,-1,1,-68747,-6919081] 4 114570ca3 [1,-1,1,-77297,-5082541] 2 114570ca4 [1,-1,1,-1099877,-443705749] 2
114570cb (2 curves)	0	2- 3- 5- 19- 67-	2- 3- 5-  0  6  6  2 19-
Curve Equation t 114570cb1 [1,-1,1,31198,-2299359] 2 114570cb2 [1,-1,1,-187682,-22086111] 2
114570cc (3 curves)	0	2- 3- 5- 19- 67-	2- 3- 5- -1  3 -4  6 19-
Curve Equation t 114570cc1 [1,-1,1,-113920682,-467978118199] 1 114570cc2 [1,-1,1,-113913617,-468039070591] 3 114570cc3 [1,-1,1,50437048,-1669088914549] 3
114570cd (1 curve)	0	2- 3- 5- 19- 67-	2- 3- 5-  3  3  0  2 19-
Curve Equation t 114570cd1 [1,-1,1,-4622,122091] 1
114570ce (4 curves)	0	2- 3- 5- 19- 67-	2- 3- 5- -4 -6  2  6 19-
Curve Equation t 114570ce1 [1,-1,1,115753,86918879] 2 114570ce2 [1,-1,1,-2377427,1334506151] 2 114570ce3 [1,-1,1,-11850782,15712478381] 6 114570ce4 [1,-1,1,-189636062,1005194232749] 6

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

Part of Computational Number Theory
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