Cremona's table of elliptic curves

39330 = 2 · 3² · 5 · 19 · 23

Class	r	Atkin-Lehner	Eigenvalues
39330a (2 curves)	1	2+ 3+ 5+ 19+ 23+	2+ 3+ 5+  4  2 -4 -2 19+
Curve Equation t Generators 39330a1 [1,-1,0,-1740,28800] 2 [21:-45:1] 39330a2 [1,-1,0,-27960,1806516] 2 [3:1311:1]
39330b (2 curves)	0	2+ 3+ 5- 19+ 23+	2+ 3+ 5-  0  2  4 -8 19+
Curve Equation t 39330b1 [1,-1,0,-159774,23624468] 2 39330b2 [1,-1,0,-436254,-79944940] 2
39330c (2 curves)	0	2+ 3+ 5- 19+ 23+	2+ 3+ 5-  2  0 -4 -6 19+
Curve Equation t 39330c1 [1,-1,0,-28554,-1904140] 2 39330c2 [1,-1,0,-460554,-120185740] 2
39330d (2 curves)	0	2+ 3+ 5- 19+ 23+	2+ 3+ 5- -2  2 -4 -2 19+
Curve Equation t 39330d1 [1,-1,0,-4166139,-3282940827] 2 39330d2 [1,-1,0,-66720219,-209748937275] 2
39330e (4 curves)	0	2+ 3- 5+ 19+ 23+	2+ 3- 5+  0  0  2 -2 19+
Curve Equation t 39330e1 [1,-1,0,19035,-38075] 2 39330e2 [1,-1,0,-76185,-247559] 4 39330e3 [1,-1,0,-823455,286853575] 2 39330e4 [1,-1,0,-852435,-301898309] 2
39330f (1 curve)	0	2+ 3- 5+ 19+ 23+	2+ 3- 5+  1 -1 -7  4 19+
Curve Equation t 39330f1 [1,-1,0,-22320,-3400704] 1
39330g (1 curve)	0	2+ 3- 5+ 19+ 23+	2+ 3- 5+ -4 -2  1  3 19+
Curve Equation t 39330g1 [1,-1,0,-54135,-4887459] 1
39330h (4 curves)	0	2+ 3- 5+ 19+ 23+	2+ 3- 5+ -4  4 -2 -6 19+
Curve Equation t 39330h1 [1,-1,0,-913345380,10820563310160] 2 39330h2 [1,-1,0,-14688296100,685184295768336] 4 39330h3 [1,-1,0,-14763091500,677853553737096] 2 39330h4 [1,-1,0,-235012712220,43851628615714200] 2
39330i (1 curve)	1	2+ 3- 5+ 19+ 23-	2+ 3- 5+  2  1 -5 -3 19+
Curve Equation t Generators 39330i1 [1,-1,0,-1035,94405] 1 [278:4469:1]
39330j (2 curves)	1	2+ 3- 5+ 19+ 23-	2+ 3- 5+ -2 -4  2  2 19+
Curve Equation t Generators 39330j1 [1,-1,0,-8730,-538124] 2 [287:4388:1] 39330j2 [1,-1,0,-166050,-25992500] 2 [471:109:1]
39330k (1 curve)	1	2+ 3- 5+ 19- 23+	2+ 3- 5+ -2  0 -1 -1 19-
Curve Equation t Generators 39330k1 [1,-1,0,3366720,-15553370624] 1 [281663:149346086:1]
39330l (2 curves)	1	2+ 3- 5+ 19- 23+	2+ 3- 5+ -2  0  2  2 19-
Curve Equation t Generators 39330l1 [1,-1,0,-10485,416245] 2 [53:-112:1] 39330l2 [1,-1,0,-167805,26499901] 2 [203:776:1]
39330m (1 curve)	1	2+ 3- 5+ 19- 23+	2+ 3- 5+ -2  3 -1  5 19-
Curve Equation t Generators 39330m1 [1,-1,0,-8820,-318704] 1 [320:5276:1]
39330n (2 curves)	1	2+ 3- 5+ 19- 23+	2+ 3- 5+ -2  6  2 -4 19-
Curve Equation t Generators 39330n1 [1,-1,0,-4824135,-70864245059] 2 [29807:5110223:1] 39330n2 [1,-1,0,-287939655,-1864627556675] 2 [119555:40837010:1]
39330o (1 curve)	1	2+ 3- 5+ 19- 23+	2+ 3- 5+  3  1 -3  6 19-
Curve Equation t Generators 39330o1 [1,-1,0,-630,29200] 1 [38:224:1]
39330p (1 curve)	0	2+ 3- 5+ 19- 23-	2+ 3- 5+  0  2 -3  1 19-
Curve Equation t 39330p1 [1,-1,0,-987750,-1885786164] 1
39330q (2 curves)	0	2+ 3- 5+ 19- 23-	2+ 3- 5+  0  2 -6 -2 19-
Curve Equation t 39330q1 [1,-1,0,-9055575,8059348125] 2 39330q2 [1,-1,0,-48868695,-124685556579] 2
39330r (1 curve)	0	2+ 3- 5+ 19- 23-	2+ 3- 5+ -3  5  3 -2 19-
Curve Equation t 39330r1 [1,-1,0,-3645,-83835] 1
39330s (2 curves)	1	2+ 3- 5- 19+ 23+	2+ 3- 5-  0 -2 -6 -6 19+
Curve Equation t Generators 39330s1 [1,-1,0,-147969,-21871107] 2 [-295471:149491:1331] 39330s2 [1,-1,0,-149049,-21534795] 2 [-251:252:1]
39330t (2 curves)	1	2+ 3- 5- 19+ 23+	2+ 3- 5-  0  6  2 -2 19+
Curve Equation t Generators 39330t1 [1,-1,0,-2919931704,60663064260928] 2 [162938616101443:28538607635466781:2622362939] 39330t2 [1,-1,0,-3726147384,24490907832640] 2 [74795273:33536329826:343]
39330u (1 curve)	1	2+ 3- 5- 19+ 23+	2+ 3- 5-  3 -3 -1  4 19+
Curve Equation t Generators 39330u1 [1,-1,0,-7029009,7195896013] 1 [422:65399:1]
39330v (2 curves)	1	2+ 3- 5- 19+ 23+	2+ 3- 5-  4  2  2 -2 19+
Curve Equation t Generators 39330v1 [1,-1,0,-10404,-405540] 2 [-59:47:1] 39330v2 [1,-1,0,-12834,-199962] 2 [-93:474:1]
39330w (4 curves)	0	2+ 3- 5- 19- 23+	2+ 3- 5-  0  4  6 -6 19-
Curve Equation t 39330w1 [1,-1,0,-832689,292658845] 2 39330w2 [1,-1,0,-878769,258495133] 4 39330w3 [1,-1,0,1803951,1526348605] 2 39330w4 [1,-1,0,-4298769,-3196388867] 2
39330x (1 curve)	0	2+ 3- 5- 19- 23+	2+ 3- 5-  1  3 -5  2 19-
Curve Equation t 39330x1 [1,-1,0,4446,469908] 1
39330y (2 curves)	0	2+ 3- 5- 19- 23+	2+ 3- 5- -2  0 -2  0 19-
Curve Equation t 39330y1 [1,-1,0,6831,-128547] 2 39330y2 [1,-1,0,-32049,-1084995] 2
39330z (2 curves)	0	2+ 3- 5- 19- 23+	2+ 3- 5- -4 -2  0  2 19-
Curve Equation t 39330z1 [1,-1,0,-26353494,-52067070432] 2 39330z2 [1,-1,0,-421659324,-3332552031270] 2
39330ba (2 curves)	1	2+ 3- 5- 19- 23-	2+ 3- 5-  2  0 -2  4 19-
Curve Equation t Generators 39330ba1 [1,-1,0,-19327343409,-1034201216019555] 2 [502626930722032800724846958148990993505726286923286412123960984552200202680080211544010132252817978260918205307128006820180778737:-261912190011299487539147117756543327188274085442129585031142779756784135215363461762323683447715936289715902498375538614547683056724:1489781470372338726480763554001158831015977560900626146507391433969393798062487561979046262024220179388161932577232108139243] 39330ba2 [1,-1,0,-309237635889,-66189046222384227] 2 [658138341018118003690822270293763381790925795595121854427478727197:-685565519805142847254308970675207396786770484670143349034287328549801:487679219948297888693934429162568069242813626123611636801331]
39330bb (2 curves)	1	2+ 3- 5- 19- 23-	2+ 3- 5-  2  0  5 -3 19-
Curve Equation t Generators 39330bb1 [1,-1,0,23076,-549720] 1 [678:11001:8] 39330bb2 [1,-1,0,-261234,60979338] 3 [-3354:80337:8]
39330bc (1 curve)	1	2+ 3- 5- 19- 23-	2+ 3- 5-  2 -5  3 -1 19-
Curve Equation t Generators 39330bc1 [1,-1,0,441,-7695] 1 [54:387:1]
39330bd (1 curve)	1	2+ 3- 5- 19- 23-	2+ 3- 5- -5 -5  1 -2 19-
Curve Equation t Generators 39330bd1 [1,-1,0,79686,-3910352] 1 [1862:80294:1]
39330be (2 curves)	1	2- 3+ 5+ 19+ 23-	2- 3+ 5+  0 -2  4  8 19+
Curve Equation t Generators 39330be1 [1,-1,1,-17753,-869063] 2 [-73:220:1] 39330be2 [1,-1,1,-48473,2977081] 2 [-149:2696:1]
39330bf (2 curves)	1	2- 3+ 5+ 19+ 23-	2- 3+ 5+  2  0 -4  6 19+
Curve Equation t Generators 39330bf1 [1,-1,1,-3173,71581] 2 [31:-64:1] 39330bf2 [1,-1,1,-51173,4468381] 2 [125:52:1]
39330bg (2 curves)	1	2- 3+ 5+ 19+ 23-	2- 3+ 5+ -2 -2 -4  2 19+
Curve Equation t Generators 39330bg1 [1,-1,1,-37495253,88676897581] 2 [3511:15632:1] 39330bg2 [1,-1,1,-600481973,5663821788397] 2 [13865:-65054:1]
39330bh (2 curves)	0	2- 3+ 5- 19+ 23-	2- 3+ 5-  4 -2 -4  2 19+
Curve Equation t 39330bh1 [1,-1,1,-15662,-761939] 2 39330bh2 [1,-1,1,-251642,-48524291] 2
39330bi (1 curve)	0	2- 3- 5+ 19+ 23-	2- 3- 5+  0  2  1 -7 19+
Curve Equation t 39330bi1 [1,-1,1,157,-1519] 1
39330bj (2 curves)	0	2- 3- 5+ 19+ 23-	2- 3- 5+  0  2 -2  2 19+
Curve Equation t 39330bj1 [1,-1,1,-23738,-1320199] 2 39330bj2 [1,-1,1,-373658,-87820423] 2
39330bk (1 curve)	0	2- 3- 5+ 19+ 23-	2- 3- 5+ -2  5  5 -7 19+
Curve Equation t 39330bk1 [1,-1,1,-5873,9998817] 1
39330bl (2 curves)	2	2- 3- 5+ 19+ 23-	2- 3- 5+ -4 -2 -2 -6 19+
Curve Equation t Generators 39330bl1 [1,-1,1,-5018,101337] 2 [-43:507:1]&[65:183:1] 39330bl2 [1,-1,1,-74138,7787481] 2 [245:1947:1]&[-295:2127:1]
39330bm (2 curves)	0	2- 3- 5+ 19+ 23-	2- 3- 5+ -4 -2  4  6 19+
Curve Equation t 39330bm1 [1,-1,1,-4602698843,-120301411585269] 2 39330bm2 [1,-1,1,-73662403163,-7695128891865333] 2
39330bn (4 curves)	1	2- 3- 5+ 19- 23-	2- 3- 5+  0  0  2  6 19-
Curve Equation t Generators 39330bn1 [1,-1,1,-518,4101] 2 [23:51:1] 39330bn2 [1,-1,1,-2138,-33483] 4 [77:465:1] 39330bn3 [1,-1,1,2992,-173019] 2 [4244:33693:64] 39330bn4 [1,-1,1,-33188,-2318763] 2 [2686:38091:8]
39330bo (4 curves)	1	2- 3- 5+ 19- 23-	2- 3- 5+  0 -4  6 -2 19-
Curve Equation t Generators 39330bo1 [1,-1,1,-2588,232031] 2 [21:-443:1] 39330bo2 [1,-1,1,-74588,7835231] 4 [-177:4021:1] 39330bo3 [1,-1,1,-108788,-44449] 2 [-197:3801:1] 39330bo4 [1,-1,1,-1192388,501455711] 2 [631:-303:1]
39330bp (2 curves)	1	2- 3- 5+ 19- 23-	2- 3- 5+  2  2  0 -6 19-
Curve Equation t Generators 39330bp1 [1,-1,1,-316373,-208118739] 2 [1641:59922:1] 39330bp2 [1,-1,1,-7553093,-7974566643] 2 [3297:52700:1]
39330bq (1 curve)	1	2- 3- 5+ 19- 23-	2- 3- 5+ -2  4 -5 -3 19-
Curve Equation t Generators 39330bq1 [1,-1,1,4522,-97563] 1 [293:4983:1]
39330br (2 curves)	1	2- 3- 5+ 19- 23-	2- 3- 5+ -4 -3 -7 -3 19-
Curve Equation t Generators 39330br1 [1,-1,1,202,22997] 1 [15:-179:1] 39330br2 [1,-1,1,-55373,5029877] 3 [135:-104:1]
39330bs (4 curves)	0	2- 3- 5- 19+ 23+	2- 3- 5-  0  4  2  2 19+
Curve Equation t 39330bs1 [1,-1,1,-33197,-2319739] 2 39330bs2 [1,-1,1,-33377,-2293171] 4 39330bs3 [1,-1,1,3073,-7060831] 2 39330bs4 [1,-1,1,-72707,4172681] 2
39330bt (1 curve)	0	2- 3- 5- 19+ 23+	2- 3- 5-  2  1  5  3 19+
Curve Equation t 39330bt1 [1,-1,1,-30196562,94951394961] 1
39330bu (4 curves)	2	2- 3- 5- 19+ 23+	2- 3- 5- -4 -4 -6 -6 19+
Curve Equation t Generators 39330bu1 [1,-1,1,3073,230951] 4 [-39:244:1]&[-21:406:1] 39330bu2 [1,-1,1,-43007,3161639] 4 [-213:1726:1]&[-191:2188:1] 39330bu3 [1,-1,1,-151007,-18999961] 2 [-273:1486:1]&[-203:1906:1] 39330bu4 [1,-1,1,-672287,212334311] 2 [-879:11554:1]&[381:3184:1]
39330bv (1 curve)	1	2- 3- 5- 19+ 23-	2- 3- 5- -2  0  5 -7 19+
Curve Equation t Generators 39330bv1 [1,-1,1,-2597,-249379] 1 [171:-2156:1]
39330bw (2 curves)	1	2- 3- 5- 19+ 23-	2- 3- 5- -2 -2  6  0 19+
Curve Equation t Generators 39330bw1 [1,-1,1,25798,2032629] 2 [317:6321:1] 39330bw2 [1,-1,1,-171032,20613381] 2 [3838:53967:8]
39330bx (2 curves)	1	2- 3- 5- 19- 23+	2- 3- 5- -1 -3  5  0 19-
Curve Equation t Generators 39330bx1 [1,-1,1,1723,-9619] 1 [9:76:1] 39330bx2 [1,-1,1,-20012,1268399] 3 [-153:931:1]
39330by (1 curve)	1	2- 3- 5- 19- 23+	2- 3- 5- -2  0  1 -1 19-
Curve Equation t Generators 39330by1 [1,-1,1,86503,-15325732231] 1 [2727:70636:1]
39330bz (2 curves)	1	2- 3- 5- 19- 23+	2- 3- 5-  4 -6 -2  2 19-
Curve Equation t Generators 39330bz1 [1,-1,1,-482,-3679] 2 [-11:19:1] 39330bz2 [1,-1,1,-1562,19649] 2 [-21:217:1]
39330ca (4 curves)	0	2- 3- 5- 19- 23-	2- 3- 5-  2  0  2  6 19-
Curve Equation t 39330ca1 [1,-1,1,-485222,-655806031] 2 39330ca2 [1,-1,1,-14683352,-21578170399] 2 39330ca3 [1,-1,1,4339543,17094416681] 6 39330ca4 [1,-1,1,-78882737,253079513849] 6
39330cb (1 curve)	0	2- 3- 5- 19- 23-	2- 3- 5- -2  3  1  3 19-
Curve Equation t 39330cb1 [1,-1,1,38110651528,76097984738811] 1

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