Cremona's table of elliptic curves

33390 = 2 · 3² · 5 · 7 · 53

Class	r	Atkin-Lehner	Eigenvalues
33390a (2 curves)	0	2+ 3+ 5+ 7+ 53-	2+ 3+ 5+ 7+  0 -4  6  0
Curve Equation t 33390a1 [1,-1,0,-4065,-54019] 2 33390a2 [1,-1,0,13215,-403075] 2
33390b (1 curve)	0	2+ 3+ 5+ 7+ 53-	2+ 3+ 5+ 7+  1 -1  2 -2
Curve Equation t 33390b1 [1,-1,0,30765,-177355] 1
33390c (2 curves)	0	2+ 3+ 5+ 7+ 53-	2+ 3+ 5+ 7+ -4  0  2  8
Curve Equation t 33390c1 [1,-1,0,-255570,49793300] 2 33390c2 [1,-1,0,-254490,50234156] 2
33390d (4 curves)	1	2+ 3+ 5+ 7- 53-	2+ 3+ 5+ 7- -6  2  0  2
Curve Equation t Generators 33390d1 [1,-1,0,2445,-660699] 6 [190:2481:1] 33390d2 [1,-1,0,-100455,-11835639] 6 [2990:11707:8] 33390d3 [1,-1,0,-503970,-137608300] 2 [2549268:146072566:729] 33390d4 [1,-1,0,-8063970,-8811952300] 2 [31528993914:-1253674026307:7762392]
33390e (2 curves)	0	2+ 3+ 5- 7+ 53+	2+ 3+ 5- 7+  4  6 -6  6
Curve Equation t 33390e1 [1,-1,0,741,-26587] 2 33390e2 [1,-1,0,-10059,-352747] 2
33390f (2 curves)	1	2+ 3+ 5- 7+ 53-	2+ 3+ 5- 7+ -2 -2  0  4
Curve Equation t Generators 33390f1 [1,-1,0,-309,4213] 2 [2:59:1] 33390f2 [1,-1,0,-6189,188845] 2 [41:32:1]
33390g (1 curve)	1	2+ 3+ 5- 7+ 53-	2+ 3+ 5- 7+ -3  1  6 -2
Curve Equation t Generators 33390g1 [1,-1,0,12081,2741885] 1 [-110:325:1]
33390h (2 curves)	1	2+ 3+ 5- 7- 53+	2+ 3+ 5- 7-  0 -2 -2  6
Curve Equation t Generators 33390h1 [1,-1,0,-3039,184445] 2 [26:-363:1] 33390h2 [1,-1,0,-70539,7217945] 2 [196:-1043:1]
33390i (2 curves)	1	2+ 3+ 5- 7- 53+	2+ 3+ 5- 7- -3 -1 -6  2
Curve Equation t Generators 33390i1 [1,-1,0,3801,164493] 3 [-18:309:1] 33390i2 [1,-1,0,-35574,-5557132] 1 [892:25474:1]
33390j (4 curves)	0	2+ 3- 5+ 7+ 53+	2+ 3- 5+ 7+  0 -2  2  0
Curve Equation t 33390j1 [1,-1,0,-5220,20549200] 2 33390j2 [1,-1,0,-1157220,472824400] 4 33390j3 [1,-1,0,-2302020,-616338320] 2 33390j4 [1,-1,0,-18444420,30493775920] 2
33390k (2 curves)	2	2+ 3- 5+ 7+ 53+	2+ 3- 5+ 7+ -4 -6  2 -2
Curve Equation t Generators 33390k1 [1,-1,0,1575,-33939] 2 [174:723:8]&[25:131:1] 33390k2 [1,-1,0,-11025,-343899] 2 [-75:276:1]&[121:227:1]
33390l (2 curves)	1	2+ 3- 5+ 7- 53+	2+ 3- 5+ 7-  2 -2 -2  0
Curve Equation t Generators 33390l1 [1,-1,0,-29205,1758325] 2 [-37:1688:1] 33390l2 [1,-1,0,-105525,-11231339] 2 [-133:728:1]
33390m (2 curves)	1	2+ 3- 5+ 7- 53+	2+ 3- 5+ 7- -2  2  6  4
Curve Equation t Generators 33390m1 [1,-1,0,-810,-5184] 2 [-15:66:1] 33390m2 [1,-1,0,-5580,157950] 2 [-45:585:1]
33390n (2 curves)	0	2+ 3- 5+ 7- 53-	2+ 3- 5+ 7-  0 -4  6 -8
Curve Equation t 33390n1 [1,-1,0,2295,-435699] 2 33390n2 [1,-1,0,-74025,-7441875] 2
33390o (2 curves)	0	2+ 3- 5+ 7- 53-	2+ 3- 5+ 7-  2 -6  4  4
Curve Equation t 33390o1 [1,-1,0,-31185,-2679075] 2 33390o2 [1,-1,0,-535185,-150552675] 2
33390p (2 curves)	0	2+ 3- 5+ 7- 53-	2+ 3- 5+ 7- -4  4 -2  8
Curve Equation t 33390p1 [1,-1,0,-914485005,-10652428341275] 2 33390p2 [1,-1,0,-14634989325,-681450628646939] 2
33390q (2 curves)	0	2+ 3- 5+ 7- 53-	2+ 3- 5+ 7-  6  2  0 -2
Curve Equation t 33390q1 [1,-1,0,11233665,11252314125] 2 33390q2 [1,-1,0,-57915135,101325541005] 2
33390r (2 curves)	1	2+ 3- 5- 7+ 53+	2+ 3- 5- 7+ -2 -6 -2 -4
Curve Equation t Generators 33390r1 [1,-1,0,-9954,365908] 2 [-91:761:1] 33390r2 [1,-1,0,-29034,-1439060] 2 [-115:665:1]
33390s (2 curves)	0	2+ 3- 5- 7+ 53-	2+ 3- 5- 7+ -2  4 -6  4
Curve Equation t 33390s1 [1,-1,0,14169771,-10230203147] 2 33390s2 [1,-1,0,-63981909,-86553133835] 2
33390t (4 curves)	0	2+ 3- 5- 7- 53+	2+ 3- 5- 7-  4  2  6  4
Curve Equation t 33390t1 [1,-1,0,-97878429,372142853253] 2 33390t2 [1,-1,0,-130238109,104961919365] 4 33390t3 [1,-1,0,511117011,831873812373] 2 33390t4 [1,-1,0,-1289348109,-17721918058635] 2
33390u (2 curves)	1	2+ 3- 5- 7- 53-	2+ 3- 5- 7-  2  4  2 -4
Curve Equation t Generators 33390u1 [1,-1,0,-13599,-1776947] 2 [239:2810:1] 33390u2 [1,-1,0,-318879,-69121715] 2 [-331:449:1]
33390v (2 curves)	1	2+ 3- 5- 7- 53-	2+ 3- 5- 7-  3 -1  6  2
Curve Equation t Generators 33390v1 [1,-1,0,-5769,1705293] 1 [-126:711:1] 33390v2 [1,-1,0,-1274229,553957785] 3 [-1224:17307:1]
33390w (2 curves)	0	2- 3+ 5+ 7+ 53+	2- 3+ 5+ 7+  2 -2  0  4
Curve Equation t 33390w1 [1,-1,1,-2783,-110969] 2 33390w2 [1,-1,1,-55703,-5043113] 2
33390x (1 curve)	0	2- 3+ 5+ 7+ 53+	2- 3+ 5+ 7+  3  1 -6 -2
Curve Equation t 33390x1 [1,-1,1,1342,-101999] 1
33390y (2 curves)	1	2- 3+ 5+ 7+ 53-	2- 3+ 5+ 7+ -4  6  6  6
Curve Equation t Generators 33390y1 [1,-1,1,82,957] 2 [3:-37:1] 33390y2 [1,-1,1,-1118,13437] 2 [-25:171:1]
33390z (2 curves)	0	2- 3+ 5+ 7- 53-	2- 3+ 5+ 7-  0 -2  2  6
Curve Equation t 33390z1 [1,-1,1,-338,-6719] 2 33390z2 [1,-1,1,-7838,-264719] 2
33390ba (2 curves)	0	2- 3+ 5+ 7- 53-	2- 3+ 5+ 7-  3 -1  6  2
Curve Equation t 33390ba1 [1,-1,1,-3953,207137] 3 33390ba2 [1,-1,1,34207,-4475519] 1
33390bb (2 curves)	1	2- 3+ 5- 7+ 53+	2- 3+ 5- 7+  0 -4 -6  0
Curve Equation t Generators 33390bb1 [1,-1,1,-452,2151] 2 [-19:69:1] 33390bb2 [1,-1,1,1468,14439] 2 [17:-219:1]
33390bc (1 curve)	1	2- 3+ 5- 7+ 53+	2- 3+ 5- 7+ -1 -1 -2 -2
Curve Equation t Generators 33390bc1 [1,-1,1,3418,5429] 1 [9:187:1]
33390bd (2 curves)	1	2- 3+ 5- 7+ 53+	2- 3+ 5- 7+  4  0 -2  8
Curve Equation t Generators 33390bd1 [1,-1,1,-28397,-1834731] 2 [387:6516:1] 33390bd2 [1,-1,1,-28277,-1851099] 2 [261:2784:1]
33390be (4 curves)	0	2- 3+ 5- 7- 53+	2- 3+ 5- 7-  6  2  0  2
Curve Equation t 33390be1 [1,-1,1,-55997,5115269] 6 33390be2 [1,-1,1,-895997,326667269] 6 33390be3 [1,-1,1,22003,17816869] 2 33390be4 [1,-1,1,-904097,320466349] 2
33390bf (2 curves)	0	2- 3- 5+ 7+ 53-	2- 3- 5+ 7+  2  6  6  0
Curve Equation t 33390bf1 [1,-1,1,-134258,-18812559] 2 33390bf2 [1,-1,1,-210578,5060337] 2
33390bg (2 curves)	0	2- 3- 5+ 7+ 53-	2- 3- 5+ 7+ -2 -2  6 -4
Curve Equation t 33390bg1 [1,-1,1,-338,-1843] 2 33390bg2 [1,-1,1,-5108,-139219] 2
33390bh (2 curves)	0	2- 3- 5+ 7+ 53-	2- 3- 5+ 7+  4  4  0  2
Curve Equation t 33390bh1 [1,-1,1,-1311728,517333331] 2 33390bh2 [1,-1,1,1837552,2618532947] 2
33390bi (1 curve)	0	2- 3- 5+ 7+ 53-	2- 3- 5+ 7+  6 -3  5 -5
Curve Equation t 33390bi1 [1,-1,1,-443,-4769] 1
33390bj (2 curves)	0	2- 3- 5+ 7- 53+	2- 3- 5+ 7-  2  4  2  4
Curve Equation t 33390bj1 [1,-1,1,922,2801] 2 33390bj2 [1,-1,1,-3848,25697] 2
33390bk (1 curve)	0	2- 3- 5+ 7- 53+	2- 3- 5+ 7- -3 -1  2 -6
Curve Equation t 33390bk1 [1,-1,1,5996497,-11043108169] 1
33390bl (2 curves)	1	2- 3- 5+ 7- 53-	2- 3- 5+ 7- -4  0  4 -2
Curve Equation t Generators 33390bl1 [1,-1,1,-2363,44651] 2 [21:52:1] 33390bl2 [1,-1,1,-1283,84827] 2 [-27:328:1]
33390bm (4 curves)	1	2- 3- 5+ 7- 53-	2- 3- 5+ 7- -4  2 -2  0
Curve Equation t Generators 33390bm1 [1,-1,1,-35303,2178191] 2 [-107:2226:1] 33390bm2 [1,-1,1,-540923,153257447] 4 [3294:2039:8] 33390bm3 [1,-1,1,-517073,167367107] 2 [6686:139415:8] 33390bm4 [1,-1,1,-8654693,9802152731] 2 [115444:427153:64]
33390bn (2 curves)	1	2- 3- 5+ 7- 53-	2- 3- 5+ 7- -4 -4 -8  6
Curve Equation t Generators 33390bn1 [1,-1,1,-100868,-10534489] 2 [-219:1117:1] 33390bn2 [1,-1,1,175612,-58310233] 2 [1533:-62507:1]
33390bo (2 curves)	0	2- 3- 5- 7+ 53+	2- 3- 5- 7+  2  2  4  4
Curve Equation t 33390bo1 [1,-1,1,-411332,-101660569] 2 33390bo2 [1,-1,1,-6585332,-6502863769] 2
33390bp (2 curves)	0	2- 3- 5- 7+ 53+	2- 3- 5- 7+ -6  2  0  6
Curve Equation t 33390bp1 [1,-1,1,-1202,29229] 2 33390bp2 [1,-1,1,-23252,1369869] 2
33390bq (1 curve)	1	2- 3- 5- 7+ 53-	2- 3- 5- 7+  1  7 -6 -2
Curve Equation t Generators 33390bq1 [1,-1,1,-9392,357459] 1 [47:-159:1]
33390br (4 curves)	1	2- 3- 5- 7+ 53-	2- 3- 5- 7+  4 -2  6 -8
Curve Equation t Generators 33390br1 [1,-1,1,-1195811402,15916576912521] 4 [158369:61553031:1] 33390br2 [1,-1,1,-1207607882,15586530276489] 4 [-34603:4009791:1] 33390br3 [1,-1,1,539814838,56961306471561] 2 [-27819:4532159:1] 33390br4 [1,-1,1,-3143774282,-46911372182391] 2 [628749:496210083:1]
33390bs (4 curves)	1	2- 3- 5- 7+ 53-	2- 3- 5- 7+  4 -2 -6  0
Curve Equation t Generators 33390bs1 [1,-1,1,-2867,-54381] 2 [-31:78:1] 33390bs2 [1,-1,1,-9347,285171] 4 [-19:684:1] 33390bs3 [1,-1,1,19273,1670379] 2 [87:1956:1] 33390bs4 [1,-1,1,-141647,20553531] 4 [-3338:22653:8]
33390bt (4 curves)	1	2- 3- 5- 7+ 53-	2- 3- 5- 7+ -4  6 -2 -4
Curve Equation t Generators 33390bt1 [1,-1,1,58,171861] 2 [9:411:1] 33390bt2 [1,-1,1,-46022,3747669] 4 [-31:2283:1] 33390bt3 [1,-1,1,-96422,-5888811] 2 [-91:1503:1] 33390bt4 [1,-1,1,-732902,241682901] 2 [491:-111:1]
33390bu (2 curves)	1	2- 3- 5- 7- 53+	2- 3- 5- 7-  0  0 -2  0
Curve Equation t Generators 33390bu1 [1,-1,1,-311162,77522361] 2 [-79:-10041:1] 33390bu2 [1,-1,1,-5195642,4559521209] 2 [1337:-1929:1]
33390bv (1 curve)	1	2- 3- 5- 7- 53+	2- 3- 5- 7- -3 -3 -2 -6
Curve Equation t Generators 33390bv1 [1,-1,1,-212,-1749] 1 [29:-141:1]
33390bw (4 curves)	0	2- 3- 5- 7- 53-	2- 3- 5- 7-  0  2  6  2
Curve Equation t 33390bw1 [1,-1,1,-10022,-418831] 2 33390bw2 [1,-1,1,-164372,-25608751] 2 33390bw3 [1,-1,1,62743,565481] 6 33390bw4 [1,-1,1,-252257,4723481] 6
33390bx (4 curves)	0	2- 3- 5- 7- 53-	2- 3- 5- 7-  0 -2 -2 -4
Curve Equation t 33390bx1 [1,-1,1,31558,6734441] 4 33390bx2 [1,-1,1,-400622,88675769] 4 33390bx3 [1,-1,1,-1472252,-590308999] 2 33390bx4 [1,-1,1,-6243872,6006719369] 2
33390by (4 curves)	0	2- 3- 5- 7- 53-	2- 3- 5- 7-  0 -2  6  0
Curve Equation t 33390by1 [1,-1,1,-37067,-9083941] 4 33390by2 [1,-1,1,-919067,-338246341] 4 33390by3 [1,-1,1,-1252967,-70191421] 2 33390by4 [1,-1,1,-14697167,-21683278861] 2
33390bz (4 curves)	0	2- 3- 5- 7- 53-	2- 3- 5- 7- -4 -6  6  4
Curve Equation t 33390bz1 [1,-1,1,-81167,8028231] 2 33390bz2 [1,-1,1,-1262147,546082719] 4 33390bz3 [1,-1,1,-1225697,579077259] 2 33390bz4 [1,-1,1,-20194277,34934403651] 2
33390ca (2 curves)	0	2- 3- 5- 7- 53-	2- 3- 5- 7-  6 -2 -2  8
Curve Equation t 33390ca1 [1,-1,1,-20372,-1110409] 2 33390ca2 [1,-1,1,-325652,-71446921] 2

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

Part of Computational Number Theory
Back to Tables and computations