Cremona's table of elliptic curves

38976 = 2⁶ · 3 · 7 · 29

Class	r	Atkin-Lehner	Eigenvalues
38976a (2 curves)	1	2+ 3+ 7+ 29+	2+ 3+  0 7+  0  6 -2  0
Curve Equation t Generators 38976a1 [0,-1,0,7007,49441] 2 [336:10045:27] 38976a2 [0,-1,0,-28833,429345] 2 [1465:55680:1]
38976b (1 curve)	1	2+ 3+ 7+ 29+	2+ 3+  2 7+  3 -1 -2 -1
Curve Equation t Generators 38976b1 [0,-1,0,223,1377] 1 [1:40:1]
38976c (2 curves)	1	2+ 3+ 7+ 29+	2+ 3+ -2 7+  2 -6  0  4
Curve Equation t Generators 38976c1 [0,-1,0,-3589,79909] 2 [25:72:1] 38976c2 [0,-1,0,-10449,-308367] 2 [383:7192:1]
38976d (4 curves)	1	2+ 3+ 7+ 29+	2+ 3+ -2 7+ -4  6  6  4
Curve Equation t Generators 38976d1 [0,-1,0,-266945729,-2269621680447] 2 [331080566115461207529076432062045248373929:-21473504035872417801049239322573729000587264:15387235925159220702366104105533175737] 38976d2 [0,-1,0,-4676207809,-123064883771711] 4 [37575931178390532584023658264897745519578679414915537935291450909981833382895:-9519865826502354488105487602252590648567737521770182484676285774679108342161408:328335392250053375098264289160133146128438956567713516676897257239676511] 38976d3 [0,-1,0,-5083636929,-100349488044351] 2 [6485655449397824848346304658857683071101305132069762428104743554990719778631596712091132760178359419494756248276033971140618905669420274526190860448:-1629992066124336641725451289280893353595732680772267423393272261181006810306513965245757938501260363022882019750729771326108004951047929541486915966125:56410759992044571367286179840226697916901832498639218790268318823404085046979836091651160933878526546134059123453445735705954342343175973619971] 38976d4 [0,-1,0,-74816971969,-7876747601533247] 2 [8972634279774929213796985550329055638058597309208878935620146083945663641417507212914243812282158416736778091006015195496156605090317471922925898597:-5175642253883580357544329912379487572116154500453697005730037143155867062981856952737535002399266050010699093992339679533642289286734387972175785350052:17600469545752995358693452956334308143543405058423353770111864168505388487540790210296586075164880257498978614239891100771830642689251981110679]
38976e (4 curves)	1	2+ 3+ 7+ 29+	2+ 3+ -2 7+ -4 -6 -6  4
Curve Equation t Generators 38976e1 [0,-1,0,-45249,-3525951] 2 [-806:65:8] 38976e2 [0,-1,0,-127169,12939969] 4 [-61:4524:1] 38976e3 [0,-1,0,318271,83052225] 2 [451:17836:1] 38976e4 [0,-1,0,-1883329,995335873] 2 [817:1152:1]
38976f (1 curve)	1	2+ 3+ 7+ 29+	2+ 3+ -2 7+  5 -3  6 -5
Curve Equation t Generators 38976f1 [0,-1,0,-2689,54913] 1 [33:32:1]
38976g (2 curves)	1	2+ 3+ 7+ 29+	2+ 3+  4 7+ -4  0  0 -8
Curve Equation t Generators 38976g1 [0,-1,0,2879,-53567] 2 [67:660:1] 38976g2 [0,-1,0,-15681,-480447] 2 [17655:39996:125]
38976h (4 curves)	0	2+ 3+ 7+ 29-	2+ 3+  2 7+ -4  6 -6  4
Curve Equation t 38976h1 [0,-1,0,-817,9265] 2 38976h2 [0,-1,0,-897,7425] 4 38976h3 [0,-1,0,2463,47073] 4 38976h4 [0,-1,0,-5537,-151263] 2
38976i (1 curve)	0	2+ 3+ 7+ 29-	2+ 3+ -2 7+  3  5  6 -5
Curve Equation t 38976i1 [0,-1,0,-83489,10818465] 1
38976j (4 curves)	1	2+ 3+ 7- 29-	2+ 3+  0 7-  0 -2 -6 -8
Curve Equation t Generators 38976j1 [0,-1,0,-8513,435009] 2 [64:385:1] 38976j2 [0,-1,0,-151873,22827841] 2 [273:1280:1] 38976j3 [0,-1,0,68287,-6056127] 2 [337:7424:1] 38976j4 [0,-1,0,-370753,-55492031] 2 [1521:-53824:1]
38976k (4 curves)	1	2+ 3+ 7- 29-	2+ 3+  2 7- -4  2 -2  4
Curve Equation t Generators 38976k1 [0,-1,0,783,-783] 2 [8:77:1] 38976k2 [0,-1,0,-3137,-3135] 4 [120:1155:1] 38976k3 [0,-1,0,-33377,2349537] 2 [633:15312:1] 38976k4 [0,-1,0,-35617,-2569055] 2 [6024:19855:27]
38976l (2 curves)	0	2+ 3- 7+ 29+	2+ 3-  0 7+ -2 -2 -4  4
Curve Equation t 38976l1 [0,1,0,7867,3892587] 2 38976l2 [0,1,0,-328273,69977711] 2
38976m (2 curves)	0	2+ 3- 7+ 29+	2+ 3-  0 7+  4  4 -4 -8
Curve Equation t 38976m1 [0,1,0,-12993,-1733985] 2 38976m2 [0,1,0,-309953,-66411873] 2
38976n (4 curves)	0	2+ 3- 7+ 29+	2+ 3-  2 7+  0 -6  6  4
Curve Equation t 38976n1 [0,1,0,163,-1533] 2 38976n2 [0,1,0,-1457,-18705] 4 38976n3 [0,1,0,-6497,181887] 2 38976n4 [0,1,0,-22337,-1292385] 2
38976o (1 curve)	0	2+ 3- 7+ 29+	2+ 3-  2 7+ -1  5  2  5
Curve Equation t 38976o1 [0,1,0,70303,81601023] 1
38976p (2 curves)	0	2+ 3- 7+ 29+	2+ 3-  2 7+  2  2  8 -4
Curve Equation t 38976p1 [0,1,0,-357,2475] 2 38976p2 [0,1,0,-497,207] 2
38976q (2 curves)	1	2+ 3- 7+ 29-	2+ 3-  0 7+ -4  0  0  0
Curve Equation t Generators 38976q1 [0,1,0,447,7839] 2 [3:96:1] 38976q2 [0,1,0,-4193,88575] 2 [67:-336:1]
38976r (2 curves)	1	2+ 3- 7+ 29-	2+ 3-  0 7+ -4  6  6  0
Curve Equation t Generators 38976r1 [0,1,0,-4382833,-3558704593] 2 [437942443:32706364752:68921] 38976r2 [0,1,0,-70266273,-226732269249] 2 [25419:3796272:1]
38976s (1 curve)	1	2+ 3- 7+ 29-	2+ 3-  2 7+ -3  1  2 -3
Curve Equation t Generators 38976s1 [0,1,0,10767423,-24678120033] 1 [1379055:149846016:125]
38976t (2 curves)	1	2+ 3- 7+ 29-	2+ 3-  4 7+  4 -2 -2 -8
Curve Equation t Generators 38976t1 [0,1,0,79,-273] 2 [606:3115:27] 38976t2 [0,1,0,-481,-3073] 2 [43:240:1]
38976u (2 curves)	1	2+ 3- 7+ 29-	2+ 3- -4 7+  0 -2  2  0
Curve Equation t Generators 38976u1 [0,1,0,-28225,2046239] 2 [59:768:1] 38976u2 [0,1,0,-467265,122782239] 2 [411:-576:1]
38976v (2 curves)	1	2+ 3- 7- 29+	2+ 3-  0 7-  0  6 -2  0
Curve Equation t Generators 38976v1 [0,1,0,-33,1599] 2 [50:357:1] 38976v2 [0,1,0,-2273,40575] 2 [-29:288:1]
38976w (1 curve)	1	2+ 3- 7- 29+	2+ 3-  2 7- -3 -1 -2  1
Curve Equation t Generators 38976w1 [0,1,0,223,-1377] 1 [7:24:1]
38976x (6 curves)	1	2+ 3- 7- 29+	2+ 3-  2 7- -4  2  2  4
Curve Equation t Generators 38976x1 [0,1,0,-50177,4615263] 2 [82:1029:1] 38976x2 [0,1,0,-818497,284744735] 4 [173:12180:1] 38976x3 [0,1,0,-834177,273251295] 4 [-165:20160:1] 38976x4 [0,1,0,-13095937,18236817503] 2 [2189:7980:1] 38976x5 [0,1,0,798783,1214162847] 2 [402:40005:1] 38976x6 [0,1,0,-2718017,-1402989537] 2 [6667:526176:1]
38976y (1 curve)	0	2+ 3- 7- 29-	2+ 3- -2 7- -1 -1  2  1
Curve Equation t 38976y1 [0,1,0,-609,-12033] 1
38976z (2 curves)	0	2- 3+ 7+ 29+	2- 3+  0 7+  0  6 -2  0
Curve Equation t 38976z1 [0,-1,0,-33,-1599] 2 38976z2 [0,-1,0,-2273,-40575] 2
38976ba (2 curves)	0	2- 3+ 7+ 29+	2- 3+  0 7+  4  2  6  0
Curve Equation t 38976ba1 [0,-1,0,-428,3498] 2 38976ba2 [0,-1,0,7,9849] 2
38976bb (6 curves)	0	2- 3+ 7+ 29+	2- 3+  2 7+  4  2  2 -4
Curve Equation t 38976bb1 [0,-1,0,-50177,-4615263] 2 38976bb2 [0,-1,0,-818497,-284744735] 4 38976bb3 [0,-1,0,-834177,-273251295] 4 38976bb4 [0,-1,0,-13095937,-18236817503] 2 38976bb5 [0,-1,0,798783,-1214162847] 2 38976bb6 [0,-1,0,-2718017,1402989537] 2
38976bc (4 curves)	0	2- 3+ 7+ 29+	2- 3+  2 7+ -4  2  2 -4
Curve Equation t 38976bc1 [0,-1,0,308,6370] 2 38976bc2 [0,-1,0,-3897,86265] 4 38976bc3 [0,-1,0,-14337,-563103] 2 38976bc4 [0,-1,0,-60737,5781633] 2
38976bd (1 curve)	1	2- 3+ 7+ 29-	2- 3+ -2 7+  1 -1  2 -1
Curve Equation t Generators 38976bd1 [0,-1,0,-609,12033] 1 [-19:128:1]
38976be (2 curves)	1	2- 3+ 7- 29+	2- 3+  0 7-  2 -2 -4 -4
Curve Equation t Generators 38976be1 [0,-1,0,7867,-3892587] 2 [337:6076:1] 38976be2 [0,-1,0,-328273,-69977711] 2 [-335:1512:1]
38976bf (2 curves)	1	2- 3+ 7- 29+	2- 3+  0 7-  4 -4  4  0
Curve Equation t Generators 38976bf1 [0,-1,0,7,-711] 2 [11:24:1] 38976bf2 [0,-1,0,-1153,-14399] 2 [127:1368:1]
38976bg (2 curves)	1	2- 3+ 7- 29+	2- 3+  0 7- -4  4 -4  8
Curve Equation t Generators 38976bg1 [0,-1,0,-12993,1733985] 2 [-57:1512:1] 38976bg2 [0,-1,0,-309953,66411873] 2 [1802:22589:8]
38976bh (4 curves)	1	2- 3+ 7- 29+	2- 3+  2 7-  0 -6  6 -4
Curve Equation t Generators 38976bh1 [0,-1,0,163,1533] 2 [7652:83835:64] 38976bh2 [0,-1,0,-1457,18705] 4 [-35:160:1] 38976bh3 [0,-1,0,-6497,-181887] 2 [-406:965:8] 38976bh4 [0,-1,0,-22337,1292385] 2 [59:420:1]
38976bi (1 curve)	1	2- 3+ 7- 29+	2- 3+  2 7-  1  5  2 -5
Curve Equation t Generators 38976bi1 [0,-1,0,70303,-81601023] 1 [1453:55552:1]
38976bj (2 curves)	1	2- 3+ 7- 29+	2- 3+  2 7- -2  2  8  4
Curve Equation t Generators 38976bj1 [0,-1,0,-357,-2475] 2 [25:60:1] 38976bj2 [0,-1,0,-497,-207] 2 [41:216:1]
38976bk (2 curves)	0	2- 3+ 7- 29-	2- 3+  0 7-  4  0  0  0
Curve Equation t 38976bk1 [0,-1,0,447,-7839] 2 38976bk2 [0,-1,0,-4193,-88575] 2
38976bl (2 curves)	0	2- 3+ 7- 29-	2- 3+  0 7-  4  6  6  0
Curve Equation t 38976bl1 [0,-1,0,-4382833,3558704593] 2 38976bl2 [0,-1,0,-70266273,226732269249] 2
38976bm (1 curve)	0	2- 3+ 7- 29-	2- 3+  2 7-  3  1  2  3
Curve Equation t 38976bm1 [0,-1,0,10767423,24678120033] 1
38976bn (2 curves)	0	2- 3+ 7- 29-	2- 3+  4 7- -4 -2 -2  8
Curve Equation t 38976bn1 [0,-1,0,79,273] 2 38976bn2 [0,-1,0,-481,3073] 2
38976bo (2 curves)	0	2- 3+ 7- 29-	2- 3+ -4 7-  0 -2  2  0
Curve Equation t 38976bo1 [0,-1,0,-28225,-2046239] 2 38976bo2 [0,-1,0,-467265,-122782239] 2
38976bp (2 curves)	1	2- 3- 7+ 29+	2- 3-  0 7+ -4 -4  4  0
Curve Equation t Generators 38976bp1 [0,1,0,7,711] 2 [-5:24:1] 38976bp2 [0,1,0,-1153,14399] 2 [-25:168:1]
38976bq (4 curves)	0	2- 3- 7+ 29-	2- 3-  0 7+  0 -2 -6  8
Curve Equation t 38976bq1 [0,1,0,-8513,-435009] 2 38976bq2 [0,1,0,-151873,-22827841] 2 38976bq3 [0,1,0,68287,6056127] 2 38976bq4 [0,1,0,-370753,55492031] 2
38976br (4 curves)	0	2- 3- 7+ 29-	2- 3-  2 7+  4  2 -2 -4
Curve Equation t 38976br1 [0,1,0,783,783] 2 38976br2 [0,1,0,-3137,3135] 4 38976br3 [0,1,0,-33377,-2349537] 2 38976br4 [0,1,0,-35617,2569055] 2
38976bs (2 curves)	0	2- 3- 7- 29+	2- 3-  0 7-  0  6 -2  0
Curve Equation t 38976bs1 [0,1,0,7007,-49441] 2 38976bs2 [0,1,0,-28833,-429345] 2
38976bt (2 curves)	0	2- 3- 7- 29+	2- 3-  0 7- -4  2  6  0
Curve Equation t 38976bt1 [0,1,0,-428,-3498] 2 38976bt2 [0,1,0,7,-9849] 2
38976bu (4 curves)	0	2- 3- 7- 29+	2- 3-  2 7-  4  2  2  4
Curve Equation t 38976bu1 [0,1,0,308,-6370] 2 38976bu2 [0,1,0,-3897,-86265] 4 38976bu3 [0,1,0,-14337,563103] 2 38976bu4 [0,1,0,-60737,-5781633] 2
38976bv (2 curves)	2	2- 3- 7- 29+	2- 3- -2 7- -2 -6  0 -4
Curve Equation t Generators 38976bv1 [0,1,0,-3589,-79909] 2 [-37:60:1]&[-34:63:1] 38976bv2 [0,1,0,-10449,308367] 2 [-111:336:1]&[-93:696:1]
38976bw (4 curves)	0	2- 3- 7- 29+	2- 3- -2 7-  4  6  6 -4
Curve Equation t 38976bw1 [0,1,0,-266945729,2269621680447] 2 38976bw2 [0,1,0,-4676207809,123064883771711] 4 38976bw3 [0,1,0,-5083636929,100349488044351] 2 38976bw4 [0,1,0,-74816971969,7876747601533247] 2
38976bx (4 curves)	0	2- 3- 7- 29+	2- 3- -2 7-  4 -6 -6 -4
Curve Equation t 38976bx1 [0,1,0,-45249,3525951] 2 38976bx2 [0,1,0,-127169,-12939969] 4 38976bx3 [0,1,0,318271,-83052225] 2 38976bx4 [0,1,0,-1883329,-995335873] 2
38976by (1 curve)	0	2- 3- 7- 29+	2- 3- -2 7- -5 -3  6  5
Curve Equation t 38976by1 [0,1,0,-2689,-54913] 1
38976bz (2 curves)	0	2- 3- 7- 29+	2- 3-  4 7-  4  0  0  8
Curve Equation t 38976bz1 [0,1,0,2879,53567] 2 38976bz2 [0,1,0,-15681,480447] 2
38976ca (4 curves)	1	2- 3- 7- 29-	2- 3-  2 7-  4  6 -6 -4
Curve Equation t Generators 38976ca1 [0,1,0,-817,-9265] 2 [4026555:-18865792:91125] 38976ca2 [0,1,0,-897,-7425] 4 [-1276:3465:64] 38976ca3 [0,1,0,2463,-47073] 2 [332020:2866149:8000] 38976ca4 [0,1,0,-5537,151263] 4 [-63:504:1]
38976cb (1 curve)	1	2- 3- 7- 29-	2- 3- -2 7- -3  5  6  5
Curve Equation t Generators 38976cb1 [0,1,0,-83489,-10818465] 1 [1687:-68208:1]

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