Cremona's table of elliptic curves

36270 = 2 · 3² · 5 · 13 · 31

Class	r	Atkin-Lehner	Eigenvalues
36270a (2 curves)	1	2+ 3+ 5+ 13+ 31+	2+ 3+ 5+  4 -2 13+  2 -8
Curve Equation t Generators 36270a1 [1,-1,0,-1093946865,13926786544925] 2 [25382572871490610:-2616064061061473305:811905118289] 36270a2 [1,-1,0,-1090490865,14019149527325] 2 [696606310:-211848360035:6859]
36270b (1 curve)	1	2+ 3+ 5+ 13+ 31+	2+ 3+ 5+ -5 -2 13+ -1 -8
Curve Equation t Generators 36270b1 [1,-1,0,-555,-19675] 1 [55:-365:1]
36270c (1 curve)	2	2+ 3+ 5+ 13+ 31-	2+ 3+ 5+ -4 -5 13+  0  5
Curve Equation t Generators 36270c1 [1,-1,0,15,1] 1 [0:1:1]&[2:-7:1]
36270d (1 curve)	1	2+ 3+ 5+ 13- 31-	2+ 3+ 5+  0 -3 13-  4  1
Curve Equation t Generators 36270d1 [1,-1,0,-30420,2050256] 1 [200:1884:1]
36270e (4 curves)	1	2+ 3+ 5+ 13- 31-	2+ 3+ 5+  2  0 13-  6  2
Curve Equation t Generators 36270e1 [1,-1,0,-24195,1454625] 6 [-10668:63831:64] 36270e2 [1,-1,0,-24045,1473435] 6 [218051214:16124848491:39304] 36270e3 [1,-1,0,-29310,799316] 2 [1:877:1] 36270e4 [1,-1,0,105690,6010316] 2 [1001:32877:1]
36270f (2 curves)	1	2+ 3+ 5- 13+ 31-	2+ 3+ 5- -4  4 13+  4  4
Curve Equation t Generators 36270f1 [1,-1,0,-1959,28925] 2 [14:57:1] 36270f2 [1,-1,0,-30039,2011373] 2 [62:589:1]
36270g (2 curves)	1	2+ 3+ 5- 13- 31+	2+ 3+ 5-  0  4 13-  0 -4
Curve Equation t Generators 36270g1 [1,-1,0,-294,-1692] 2 [-8:14:1] 36270g2 [1,-1,0,-1074,11880] 2 [6:-78:1]
36270h (2 curves)	2	2+ 3+ 5- 13- 31-	2+ 3+ 5- -4 -3 13-  0 -7
Curve Equation t Generators 36270h1 [1,-1,0,-239754,45597528] 3 [-558:2604:1]&[279:-744:1] 36270h2 [1,-1,0,748371,240087653] 1 [-143:-11336:1]&[-278:3379:1]
36270i (2 curves)	0	2+ 3- 5+ 13+ 31+	2+ 3- 5+  2 -2 13+  2 -2
Curve Equation t 36270i1 [1,-1,0,-161190,6520500] 2 36270i2 [1,-1,0,-2004390,1091428020] 2
36270j (1 curve)	2	2+ 3- 5+ 13+ 31+	2+ 3- 5+ -2 -3 13+  0 -3
Curve Equation t Generators 36270j1 [1,-1,0,-19485,1051785] 1 [-147:924:1]&[96:195:1]
36270k (2 curves)	0	2+ 3- 5+ 13+ 31+	2+ 3- 5+ -4  4 13+  2  4
Curve Equation t 36270k1 [1,-1,0,-41310,-977184] 2 36270k2 [1,-1,0,156420,-7739550] 2
36270l (1 curve)	0	2+ 3- 5+ 13+ 31+	2+ 3- 5+  5  4 13+ -7  4
Curve Equation t 36270l1 [1,-1,0,-10983056940,-8876641092631344] 1
36270m (4 curves)	1	2+ 3- 5+ 13+ 31-	2+ 3- 5+  0  4 13+  2  8
Curve Equation t Generators 36270m1 [1,-1,0,270,1156] 2 [0:34:1] 36270m2 [1,-1,0,-1350,11200] 4 [-30:170:1] 36270m3 [1,-1,0,-9720,-358754] 2 [-57:116:1] 36270m4 [1,-1,0,-18900,1004530] 2 [83:8:1]
36270n (2 curves)	1	2+ 3- 5+ 13+ 31-	2+ 3- 5+  2 -2 13+  6  2
Curve Equation t Generators 36270n1 [1,-1,0,-20790,788800] 2 [-79:1430:1] 36270n2 [1,-1,0,-302040,63957550] 2 [-307:11453:1]
36270o (1 curve)	1	2+ 3- 5+ 13+ 31-	2+ 3- 5+  3  4 13+ -1 -4
Curve Equation t Generators 36270o1 [1,-1,0,3892275,-997211489] 1 [35550342860261:-6147129590375443:1201157047]
36270p (1 curve)	1	2+ 3- 5+ 13+ 31-	2+ 3- 5+ -3 -5 13+ -4 -7
Curve Equation t Generators 36270p1 [1,-1,0,-28167930,57553217716] 1 [3275:18896:1]
36270q (4 curves)	1	2+ 3- 5+ 13+ 31-	2+ 3- 5+ -4  0 13+  2 -4
Curve Equation t Generators 36270q1 [1,-1,0,-3240,46656] 2 [-27:351:1] 36270q2 [1,-1,0,-21240,-1152144] 4 [-92:176:1] 36270q3 [1,-1,0,6660,-3981204] 2 [187:1850:1] 36270q4 [1,-1,0,-337140,-75262284] 2 [-335:176:1]
36270r (4 curves)	1	2+ 3- 5+ 13+ 31-	2+ 3- 5+ -4  4 13+  6 -4
Curve Equation t Generators 36270r1 [1,-1,0,338090490,-3617944971980] 2 [379159672503751:-88892417640136004:7680354317] 36270r2 [1,-1,0,-2496013830,-38262603000524] 4 [6564933079111339298583735549:-789707995443993312785083937324:103684577144404470725727] 36270r3 [1,-1,0,-12695718150,516990940712500] 2 [-511904831487794764:-708696430790131430002:25680208046527] 36270r4 [1,-1,0,-37641978630,-2810808269792204] 2 [38841519439330136367482957961817023588203952955546980951:-39524952508475630348837105335736391172769325049429871557715:36231341474705354153012645521576584130775413252413]
36270s (2 curves)	1	2+ 3- 5+ 13- 31+	2+ 3- 5+  0 -4 13- -6  4
Curve Equation t Generators 36270s1 [1,-1,0,-6706890,-6680523020] 2 [1200269:38040227:343] 36270s2 [1,-1,0,-5508810,-9143535884] 2 [583621713059:-19528025047504:169112377]
36270t (1 curve)	1	2+ 3- 5+ 13- 31+	2+ 3- 5+  1  5 13-  4 -3
Curve Equation t Generators 36270t1 [1,-1,0,3060,-16200] 1 [27:279:1]
36270u (2 curves)	1	2+ 3- 5+ 13- 31+	2+ 3- 5+ -2  2 13- -2 -6
Curve Equation t Generators 36270u1 [1,-1,0,-357255,25840701] 2 [-309:10482:1] 36270u2 [1,-1,0,-3237255,-2222287299] 2 [297345:7281237:125]
36270v (1 curve)	1	2+ 3- 5+ 13- 31+	2+ 3- 5+ -3  1 13-  6  5
Curve Equation t Generators 36270v1 [1,-1,0,-31410,-2707884] 1 [3270:56397:8]
36270w (4 curves)	0	2+ 3- 5+ 13- 31-	2+ 3- 5+ -4  0 13- -6  8
Curve Equation t 36270w1 [1,-1,0,-19305,-1026675] 2 36270w2 [1,-1,0,-14625,-1540539] 2 36270w3 [1,-1,0,-70605,6148305] 6 36270w4 [1,-1,0,127125,34265511] 6
36270x (2 curves)	1	2+ 3- 5- 13+ 31+	2+ 3- 5- -2  0 13+  0  6
Curve Equation t Generators 36270x1 [1,-1,0,887616,57072640] 2 [416:-22528:1] 36270x2 [1,-1,0,-3612384,462972640] 2 [-1519:50192:1]
36270y (1 curve)	2	2+ 3- 5- 13- 31+	2+ 3- 5- -2 -1 13- -8 -3
Curve Equation t Generators 36270y1 [1,-1,0,-1224,17280] 1 [21:12:1]&[-24:192:1]
36270z (2 curves)	1	2+ 3- 5- 13- 31-	2+ 3- 5- -1  0 13- -3 -4
Curve Equation t Generators 36270z1 [1,-1,0,1116,20088] 1 [87:834:1] 36270z2 [1,-1,0,-37494,2814750] 3 [-219:807:1]
36270ba (2 curves)	1	2+ 3- 5- 13- 31-	2+ 3- 5- -1 -3 13-  6 -7
Curve Equation t Generators 36270ba1 [1,-1,0,-65169,8881245] 1 [189:1719:1] 36270ba2 [1,-1,0,-5823729,5410865853] 3 [477:52119:1]
36270bb (1 curve)	1	2+ 3- 5- 13- 31-	2+ 3- 5- -1  5 13-  2  1
Curve Equation t Generators 36270bb1 [1,-1,0,-6107817789,-183727266228027] 1 [10271284511239607853550749095979:-3089409223332585677176695128666067:72228453860021861078530127]
36270bc (2 curves)	1	2+ 3- 5- 13- 31-	2+ 3- 5- -4  2 13- -4  4
Curve Equation t Generators 36270bc1 [1,-1,0,-3159,1131165] 2 [46:-1063:1] 36270bc2 [1,-1,0,-183159,29967165] 2 [141:2562:1]
36270bd (2 curves)	1	2- 3+ 5+ 13+ 31-	2- 3+ 5+ -4 -4 13+ -4  4
Curve Equation t Generators 36270bd1 [1,-1,1,-218,-999] 2 [-9:17:1] 36270bd2 [1,-1,1,-3338,-73383] 2 [-33:17:1]
36270be (2 curves)	1	2- 3+ 5+ 13- 31+	2- 3+ 5+  0 -4 13-  0 -4
Curve Equation t Generators 36270be1 [1,-1,1,-2648,48331] 2 [-17:305:1] 36270be2 [1,-1,1,-9668,-311093] 2 [-43:175:1]
36270bf (2 curves)	0	2- 3+ 5+ 13- 31-	2- 3+ 5+ -4  3 13-  0 -7
Curve Equation t 36270bf1 [1,-1,1,83152,-8919853] 3 36270bf2 [1,-1,1,-2157788,-1228975469] 1
36270bg (2 curves)	1	2- 3+ 5- 13+ 31+	2- 3+ 5-  4  2 13+ -2 -8
Curve Equation t Generators 36270bg1 [1,-1,1,-121549652,-515766392521] 2 [12997:309421:1] 36270bg2 [1,-1,1,-121165652,-519187371721] 2 [17293727:411928151:1331]
36270bh (1 curve)	1	2- 3+ 5- 13+ 31+	2- 3+ 5- -5  2 13+  1 -8
Curve Equation t Generators 36270bh1 [1,-1,1,-62,749] 1 [-3:-29:1]
36270bi (1 curve)	0	2- 3+ 5- 13+ 31-	2- 3+ 5- -4  5 13+  0  5
Curve Equation t 36270bi1 [1,-1,1,133,-161] 1
36270bj (1 curve)	1	2- 3+ 5- 13- 31-	2- 3+ 5-  0  3 13- -4  1
Curve Equation t Generators 36270bj1 [1,-1,1,-273782,-55083131] 1 [889:19643:1]
36270bk (4 curves)	1	2- 3+ 5- 13- 31-	2- 3+ 5-  2  0 13- -6  2
Curve Equation t Generators 36270bk1 [1,-1,1,-3257,-28519] 6 [-21:184:1] 36270bk2 [1,-1,1,11743,-226519] 6 [229:3684:1] 36270bk3 [1,-1,1,-217757,-39057119] 2 [16257:178618:27] 36270bk4 [1,-1,1,-216407,-39566339] 2 [356689956:3922572919:592704]
36270bl (1 curve)	1	2- 3- 5+ 13+ 31+	2- 3- 5+ -3  0 13+ -5  8
Curve Equation t Generators 36270bl1 [1,-1,1,-1967963,1067199531] 1 [1775:55362:1]
36270bm (1 curve)	0	2- 3- 5+ 13+ 31-	2- 3- 5+  2 -1 13+ -4 -5
Curve Equation t 36270bm1 [1,-1,1,-4748,163491] 1
36270bn (2 curves)	1	2- 3- 5+ 13- 31-	2- 3- 5+  0  2 13- -4  4
Curve Equation t Generators 36270bn1 [1,-1,1,-938,61417] 2 [-7:263:1] 36270bn2 [1,-1,1,-29738,1973737] 2 [85:191:1]
36270bo (1 curve)	1	2- 3- 5+ 13- 31-	2- 3- 5+ -2  1 13-  0  3
Curve Equation t Generators 36270bo1 [1,-1,1,14927917,-49055046073] 1 [6572118:5953577057:8]
36270bp (2 curves)	1	2- 3- 5+ 13- 31-	2- 3- 5+ -2 -4 13-  0 -2
Curve Equation t Generators 36270bp1 [1,-1,1,5107,-79819] 2 [51:-584:1] 36270bp2 [1,-1,1,-23693,-667339] 2 [273:-3764:1]
36270bq (4 curves)	0	2- 3- 5- 13+ 31+	2- 3- 5-  0  4 13+ -6  8
Curve Equation t 36270bq1 [1,-1,1,-11817842,-19119055759] 2 36270bq2 [1,-1,1,-200561522,-1093146092431] 4 36270bq3 [1,-1,1,-212081522,-960518636431] 2 36270bq4 [1,-1,1,-3208940402,-69965768819599] 2
36270br (1 curve)	0	2- 3- 5- 13+ 31+	2- 3- 5-  1  3 13+  8  1
Curve Equation t 36270br1 [1,-1,1,-1449932,673983281] 1
36270bs (2 curves)	0	2- 3- 5- 13+ 31+	2- 3- 5- -2 -2 13+  2  2
Curve Equation t 36270bs1 [1,-1,1,-257,1581] 2 36270bs2 [1,-1,1,-707,-5079] 2
36270bt (4 curves)	0	2- 3- 5- 13+ 31+	2- 3- 5-  4 -4 13+ -2  4
Curve Equation t 36270bt1 [1,-1,1,-8897,231761] 2 36270bt2 [1,-1,1,-130577,18191729] 4 36270bt3 [1,-1,1,-118877,21575369] 2 36270bt4 [1,-1,1,-2089157,1162785881] 2
36270bu (4 curves)	1	2- 3- 5- 13+ 31-	2- 3- 5-  0  0 13+ -2  0
Curve Equation t Generators 36270bu1 [1,-1,1,-54077,-4776699] 2 [-129:264:1] 36270bu2 [1,-1,1,-100157,4605189] 4 [-213:4136:1] 36270bu3 [1,-1,1,367843,35118789] 2 [147:9536:1] 36270bu4 [1,-1,1,-1305437,573979461] 2 [581:-3666:1]
36270bv (4 curves)	1	2- 3- 5- 13+ 31-	2- 3- 5-  0  0 13+ -2  0
Curve Equation t Generators 36270bv1 [1,-1,1,-957947,-360638229] 2 [6491:513354:1] 36270bv2 [1,-1,1,-960827,-358358421] 4 [-523:1206:1] 36270bv3 [1,-1,1,-169907,-931300869] 2 [2081:86844:1] 36270bv4 [1,-1,1,-1797827,360457179] 2 [1337:17916:1]
36270bw (1 curve)	1	2- 3- 5- 13+ 31-	2- 3- 5- -1  0 13+ -3  4
Curve Equation t Generators 36270bw1 [1,-1,1,-227822,53448221] 1 [1821:74419:1]
36270bx (2 curves)	1	2- 3- 5- 13+ 31-	2- 3- 5-  2  6 13+ -6 -6
Curve Equation t Generators 36270bx1 [1,-1,1,-707,-61] 2 [-21:82:1] 36270bx2 [1,-1,1,-7907,-267901] 2 [-51:52:1]
36270by (1 curve)	1	2- 3- 5- 13- 31+	2- 3- 5-  1 -4 13-  1  0
Curve Equation t Generators 36270by1 [1,-1,1,166963,8440949] 1 [87:4816:1]
36270bz (2 curves)	1	2- 3- 5- 13- 31+	2- 3- 5-  2 -2 13- -6  6
Curve Equation t Generators 36270bz1 [1,-1,1,-18482,-962319] 2 [171:839:1] 36270bz2 [1,-1,1,-20282,-762159] 2 [-85:627:1]
36270ca (1 curve)	1	2- 3- 5- 13- 31+	2- 3- 5- -2  1 13-  4  1
Curve Equation t Generators 36270ca1 [1,-1,1,52258,3308141] 1 [981:31099:1]
36270cb (4 curves)	1	2- 3- 5- 13- 31+	2- 3- 5- -4 -4 13-  2  0
Curve Equation t Generators 36270cb1 [1,-1,1,-18662,985061] 4 [-111:1351:1] 36270cb2 [1,-1,1,-23162,477461] 4 [181:1389:1] 36270cb3 [1,-1,1,86188,3626741] 2 [2836:174189:64] 36270cb4 [1,-1,1,-204512,-35212219] 2 [8702:252203:8]
36270cc (4 curves)	0	2- 3- 5- 13- 31-	2- 3- 5-  2  6 13-  6  2
Curve Equation t 36270cc1 [1,-1,1,-344912,-77880589] 2 36270cc2 [1,-1,1,-346712,-77025229] 2 36270cc3 [1,-1,1,-409847,-46463281] 6 36270cc4 [1,-1,1,-3289847,2265600719] 6
36270cd (1 curve)	0	2- 3- 5- 13- 31-	2- 3- 5- -3  5 13-  6  1
Curve Equation t 36270cd1 [1,-1,1,-347,-2451] 1

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