Cremona's table of elliptic curves

29760 = 2⁶ · 3 · 5 · 31

Class	r	Atkin-Lehner	Eigenvalues
29760a (4 curves)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  0  0  2  6 -4
Curve Equation t Generators 29760a1 [0,-1,0,239,2065] 2 [1:48:1] 29760a2 [0,-1,0,-1761,23265] 4 [-16:217:1] 29760a3 [0,-1,0,-8961,-303615] 2 [131:868:1] 29760a4 [0,-1,0,-26561,1674945] 2 [144:903:1]
29760b (6 curves)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  0  4 -6  2 -4
Curve Equation t Generators 29760b1 [0,-1,0,3839,-519935] 2 [163:2100:1] 29760b2 [0,-1,0,-78081,-7909119] 4 [-23720:24521:125] 29760b3 [0,-1,0,-236801,34659585] 2 [385:640:1] 29760b4 [0,-1,0,-1230081,-524696319] 4 [8718437:1388614060:343] 29760b5 [0,-1,0,-1210881,-541887999] 2 [117456640658133204440:-2105140895250197870233:82020868357034125] 29760b6 [0,-1,0,-19681281,-33600317439] 2 [3988614252485093:627481586845268140:155981516887]
29760c (2 curves)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  2  4 -4  4  8
Curve Equation t Generators 29760c1 [0,-1,0,-101,261] 2 [-7:24:1] 29760c2 [0,-1,0,-721,-7055] 2 [63:440:1]
29760d (2 curves)	1	2+ 3+ 5+ 31+	2+ 3+ 5+ -2  4  4  2  8
Curve Equation t Generators 29760d1 [0,-1,0,29919,-762975] 2 [183656:3253047:1331] 29760d2 [0,-1,0,-128801,-6191199] 2 [35427:1232000:27]
29760e (1 curve)	1	2+ 3+ 5+ 31+	2+ 3+ 5+ -3 -3  2  0 -1
Curve Equation t Generators 29760e1 [0,-1,0,-6557761,-6461519039] 1 [17576309467:-269829867504:5735339]
29760f (4 curves)	1	2+ 3+ 5+ 31+	2+ 3+ 5+ -4  4 -2 -6  4
Curve Equation t Generators 29760f1 [0,-1,0,-641,-6015] 2 [241:3712:1] 29760f2 [0,-1,0,-961,961] 4 [-29:60:1] 29760f3 [0,-1,0,3839,3841] 2 [3:124:1] 29760f4 [0,-1,0,-10881,439425] 2 [81:-288:1]
29760g (2 curves)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  0  0 -2  0  8
Curve Equation t 29760g1 [0,-1,0,-37696,2800570] 2 29760g2 [0,-1,0,-7321,7156345] 2
29760h (2 curves)	0	2+ 3+ 5+ 31-	2+ 3+ 5+ -1  3 -2  0 -5
Curve Equation t 29760h1 [0,-1,0,159,-11295] 1 29760h2 [0,-1,0,-33441,-2343135] 1
29760i (2 curves)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  2 -4  4 -8 -4
Curve Equation t 29760i1 [0,-1,0,-416,-2070] 2 29760i2 [0,-1,0,-6041,-178695] 2
29760j (2 curves)	0	2+ 3+ 5+ 31-	2+ 3+ 5+ -2  4  4  0  0
Curve Equation t 29760j1 [0,-1,0,-581,-5115] 2 29760j2 [0,-1,0,-1201,8401] 2
29760k (1 curve)	0	2+ 3+ 5+ 31-	2+ 3+ 5+ -3  3 -2  0 -7
Curve Equation t 29760k1 [0,-1,0,72639,-18171135] 1
29760l (2 curves)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  4 -2 -2  0  0
Curve Equation t 29760l1 [0,-1,0,-873441,314937441] 2 29760l2 [0,-1,0,-13980641,20125159521] 2
29760m (2 curves)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  4 -6  6 -4  0
Curve Equation t 29760m1 [0,-1,0,-961,-27839] 2 29760m2 [0,-1,0,-20961,-1159839] 2
29760n (1 curve)	0	2+ 3+ 5- 31+	2+ 3+ 5-  1 -5 -2 -4 -1
Curve Equation t 29760n1 [0,-1,0,-665647905,6850171784097] 1
29760o (4 curves)	0	2+ 3+ 5- 31+	2+ 3+ 5-  4  4 -2  2 -4
Curve Equation t 29760o1 [0,-1,0,-15585,754017] 2 29760o2 [0,-1,0,-16865,624225] 4 29760o3 [0,-1,0,42655,3993057] 4 29760o4 [0,-1,0,-96865,-11071775] 2
29760p (1 curve)	0	2+ 3+ 5- 31+	2+ 3+ 5- -5  3 -2  4  5
Curve Equation t 29760p1 [0,-1,0,-65,-255] 1
29760q (4 curves)	1	2+ 3+ 5- 31-	2+ 3+ 5-  0  0  2 -2  4
Curve Equation t Generators 29760q1 [0,-1,0,-3505,222385] 2 [-48:527:1] 29760q2 [0,-1,0,-80385,8786817] 4 [448:7905:1] 29760q3 [0,-1,0,-105185,2938977] 2 [12576:199835:27] 29760q4 [0,-1,0,-1285665,561528225] 2 [745:4080:1]
29760r (1 curve)	1	2+ 3+ 5- 31-	2+ 3+ 5- -1  5 -2  4 -1
Curve Equation t Generators 29760r1 [0,-1,0,-240545,-45334143] 1 [589:4120:1]
29760s (4 curves)	1	2+ 3+ 5- 31-	2+ 3+ 5-  2  0  4  6 -8
Curve Equation t Generators 29760s1 [0,-1,0,88895,-11475263] 2 [520083158133:10412318683136:2242946629] 29760s2 [0,-1,0,-545985,-111405375] 2 [412391:10675456:343] 29760s3 [0,-1,0,-2537665,-1564435775] 2 [10800:1109335:1] 29760s4 [0,-1,0,-40670145,-99816583743] 2 [10769:843200:1]
29760t (2 curves)	1	2+ 3+ 5- 31-	2+ 3+ 5- -2  0  0  2  0
Curve Equation t Generators 29760t1 [0,-1,0,335,2737] 2 [9:80:1] 29760t2 [0,-1,0,-2145,29025] 2 [65:-400:1]
29760u (2 curves)	0	2+ 3- 5+ 31+	2+ 3- 5+  0  0  2 -4  4
Curve Equation t 29760u1 [0,1,0,59,395] 2 29760u2 [0,1,0,-561,4239] 2
29760v (2 curves)	0	2+ 3- 5+ 31+	2+ 3- 5+  0  0 -2  0 -8
Curve Equation t 29760v1 [0,1,0,-37696,-2800570] 2 29760v2 [0,1,0,-7321,-7156345] 2
29760w (2 curves)	0	2+ 3- 5+ 31+	2+ 3- 5+ -2  4  4 -8  4
Curve Equation t 29760w1 [0,1,0,-416,2070] 2 29760w2 [0,1,0,-6041,178695] 2
29760x (1 curve)	0	2+ 3- 5+ 31+	2+ 3- 5+  3 -3  2  8  7
Curve Equation t 29760x1 [0,1,0,6239,106175] 1
29760y (1 curve)	0	2+ 3- 5+ 31+	2+ 3- 5+  3 -3 -2  0  7
Curve Equation t 29760y1 [0,1,0,72639,18171135] 1
29760z (4 curves)	0	2+ 3- 5+ 31+	2+ 3- 5+  4  4  6 -2  4
Curve Equation t 29760z1 [0,1,0,99,1539] 2 29760z2 [0,1,0,-1521,20655] 4 29760z3 [0,1,0,-5121,-118305] 2 29760z4 [0,1,0,-23841,1408959] 2
29760ba (2 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+  2  4  4 -6  0
Curve Equation t Generators 29760ba1 [0,1,0,143199,92363199] 2 [211274347639455:-13546359527948288:1225386502101] 29760ba2 [0,1,0,-2396321,1331141055] 2 [-6692881:-1081990656:24389]
29760bb (2 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+ -2  4  0  2  8
Curve Equation t Generators 29760bb1 [0,1,0,-481,9599] 2 [2:93:1] 29760bb2 [0,1,0,-10401,404415] 2 [51:96:1]
29760bc (2 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+ -4 -2 -2  0  0
Curve Equation t Generators 29760bc1 [0,1,0,159,4095] 2 [-3:60:1] 29760bc2 [0,1,0,-3041,59775] 2 [19:96:1]
29760bd (4 curves)	1	2+ 3- 5- 31+	2+ 3- 5-  0  4 -6  2  4
Curve Equation t Generators 29760bd1 [0,1,0,-6945,-200385] 2 [-438:1095:8] 29760bd2 [0,1,0,-27425,1532223] 4 [-158:1395:1] 29760bd3 [0,1,0,41695,8070975] 2 [-125:960:1] 29760bd4 [0,1,0,-424225,106208063] 4 [2402:113805:1]
29760be (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5-  1 -5 -2  4  1
Curve Equation t Generators 29760be1 [0,1,0,-240545,45334143] 1 [571:9720:1]
29760bf (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5- -1  3  6 -4 -1
Curve Equation t Generators 29760bf1 [0,1,0,-1025,-16545] 1 [43:144:1]
29760bg (2 curves)	1	2+ 3- 5- 31+	2+ 3- 5- -2  0 -4  6  0
Curve Equation t Generators 29760bg1 [0,1,0,-2625,-53985] 2 [9523687:186726144:24389] 29760bg2 [0,1,0,-42305,-3363297] 2 [1563:61248:1]
29760bh (2 curves)	1	2+ 3- 5- 31+	2+ 3- 5- -2  0 -4 -6  0
Curve Equation t Generators 29760bh1 [0,1,0,15,2223] 2 [3:48:1] 29760bh2 [0,1,0,-2465,45375] 2 [43:-144:1]
29760bi (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5-  3 -5  6 -4 -5
Curve Equation t Generators 29760bi1 [0,1,0,-1475265,692783775] 1 [795:4800:1]
29760bj (2 curves)	0	2+ 3- 5- 31-	2+ 3- 5-  0  6  2 -4  0
Curve Equation t 29760bj1 [0,1,0,2495,12575] 2 29760bj2 [0,1,0,-10305,91935] 2
29760bk (1 curve)	0	2+ 3- 5- 31-	2+ 3- 5- -3 -3  2 -4  3
Curve Equation t 29760bk1 [0,1,0,-13025,-650625] 1
29760bl (1 curve)	0	2+ 3- 5- 31-	2+ 3- 5-  5 -3 -2  4 -5
Curve Equation t 29760bl1 [0,1,0,-65,255] 1
29760bm (2 curves)	0	2- 3+ 5+ 31+	2- 3+ 5+  0 -2  6  0 -4
Curve Equation t 29760bm1 [0,-1,0,21799,-754215] 2 29760bm2 [0,-1,0,-103201,-6429215] 2
29760bn (4 curves)	0	2- 3+ 5+ 31+	2- 3+ 5+  0  4 -2  6  0
Curve Equation t 29760bn1 [0,-1,0,-1036,13186] 2 29760bn2 [0,-1,0,-1081,12025] 4 29760bn3 [0,-1,0,1919,64225] 2 29760bn4 [0,-1,0,-4801,-115199] 2
29760bo (2 curves)	0	2- 3+ 5+ 31+	2- 3+ 5+  2  4  4  6  4
Curve Equation t 29760bo1 [0,-1,0,-36,90] 2 29760bo2 [0,-1,0,39,345] 2
29760bp (2 curves)	0	2- 3+ 5+ 31+	2- 3+ 5+  2 -4  0  2 -8
Curve Equation t 29760bp1 [0,-1,0,-481,-9599] 2 29760bp2 [0,-1,0,-10401,-404415] 2
29760bq (2 curves)	0	2- 3+ 5+ 31+	2- 3+ 5+ -2 -4  4 -6  0
Curve Equation t 29760bq1 [0,-1,0,143199,-92363199] 2 29760bq2 [0,-1,0,-2396321,-1331141055] 2
29760br (2 curves)	0	2- 3+ 5+ 31+	2- 3+ 5+  4  2 -2  0  0
Curve Equation t 29760br1 [0,-1,0,159,-4095] 2 29760br2 [0,-1,0,-3041,-59775] 2
29760bs (4 curves)	0	2- 3+ 5+ 31+	2- 3+ 5+  4 -4  2  2 -8
Curve Equation t 29760bs1 [0,-1,0,-116,66] 2 29760bs2 [0,-1,0,-1241,-16359] 4 29760bs3 [0,-1,0,-641,-32799] 2 29760bs4 [0,-1,0,-19841,-1069119] 2
29760bt (2 curves)	1	2- 3+ 5+ 31-	2- 3+ 5+  0  0  2 -4 -4
Curve Equation t Generators 29760bt1 [0,-1,0,59,-395] 2 [9:28:1] 29760bt2 [0,-1,0,-561,-4239] 2 [-15:24:1]
29760bu (4 curves)	1	2- 3+ 5+ 31-	2- 3+ 5+  0  4 -2  2  0
Curve Equation t Generators 29760bu1 [0,-1,0,-3556,-79550] 2 [-18552:10409:512] 29760bu2 [0,-1,0,-6681,84825] 4 [11:112:1] 29760bu3 [0,-1,0,24319,624225] 2 [3111:173712:1] 29760bu4 [0,-1,0,-87681,10015425] 4 [-321:2232:1]
29760bv (1 curve)	1	2- 3+ 5+ 31-	2- 3+ 5+ -3  3  2  8 -7
Curve Equation t Generators 29760bv1 [0,-1,0,6239,-106175] 1 [669:17408:1]
29760bw (4 curves)	1	2- 3+ 5+ 31-	2- 3+ 5+ -4 -4  6 -2 -4
Curve Equation t Generators 29760bw1 [0,-1,0,99,-1539] 2 [73:624:1] 29760bw2 [0,-1,0,-1521,-20655] 4 [-19:32:1] 29760bw3 [0,-1,0,-5121,118305] 2 [-69:372:1] 29760bw4 [0,-1,0,-23841,-1408959] 2 [311:4600:1]
29760bx (2 curves)	1	2- 3+ 5- 31+	2- 3+ 5-  0 -6  2 -4  0
Curve Equation t Generators 29760bx1 [0,-1,0,2495,-12575] 2 [7:72:1] 29760bx2 [0,-1,0,-10305,-91935] 2 [1287:46008:1]
29760by (1 curve)	1	2- 3+ 5- 31+	2- 3+ 5-  3  3  2 -4 -3
Curve Equation t Generators 29760by1 [0,-1,0,-13025,650625] 1 [205:2560:1]
29760bz (4 curves)	0	2- 3+ 5- 31-	2- 3+ 5-  0 -4 -6  2 -4
Curve Equation t 29760bz1 [0,-1,0,-6945,200385] 2 29760bz2 [0,-1,0,-27425,-1532223] 4 29760bz3 [0,-1,0,41695,-8070975] 4 29760bz4 [0,-1,0,-424225,-106208063] 2
29760ca (1 curve)	0	2- 3+ 5- 31-	2- 3+ 5-  1 -3  6 -4  1
Curve Equation t 29760ca1 [0,-1,0,-1025,16545] 1
29760cb (2 curves)	0	2- 3+ 5- 31-	2- 3+ 5-  2  0 -4  6  0
Curve Equation t 29760cb1 [0,-1,0,-2625,53985] 2 29760cb2 [0,-1,0,-42305,3363297] 2
29760cc (2 curves)	0	2- 3+ 5- 31-	2- 3+ 5-  2  0 -4 -6  0
Curve Equation t 29760cc1 [0,-1,0,15,-2223] 2 29760cc2 [0,-1,0,-2465,-45375] 2
29760cd (1 curve)	0	2- 3+ 5- 31-	2- 3+ 5- -3  5  6 -4  5
Curve Equation t 29760cd1 [0,-1,0,-1475265,-692783775] 1
29760ce (4 curves)	1	2- 3- 5+ 31+	2- 3- 5+  0 -4 -2  2  0
Curve Equation t Generators 29760ce1 [0,1,0,-3556,79550] 2 [41:66:1] 29760ce2 [0,1,0,-6681,-84825] 4 [-63:300:1] 29760ce3 [0,1,0,24319,-624225] 4 [61:1044:1] 29760ce4 [0,1,0,-87681,-10015425] 2 [-171:84:1]
29760cf (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+  1 -3 -2  0  5
Curve Equation t Generators 29760cf1 [0,1,0,159,11295] 1 [-9:96:1] 29760cf2 [0,1,0,-33441,2343135] 1 [71:576:1]
29760cg (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+  2 -4  4  0  0
Curve Equation t Generators 29760cg1 [0,1,0,-581,5115] 2 [19:36:1] 29760cg2 [0,1,0,-1201,-8401] 2 [-13:72:1]
29760ch (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+ -4  2 -2  0  0
Curve Equation t Generators 29760ch1 [0,1,0,-873441,-314937441] 2 [8919668211345:3916312967380992:46268279] 29760ch2 [0,1,0,-13980641,-20125159521] 2 [771127:677148672:1]
29760ci (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+ -4  6  6 -4  0
Curve Equation t Generators 29760ci1 [0,1,0,-961,27839] 2 [-25:192:1] 29760ci2 [0,1,0,-20961,1159839] 2 [-105:1488:1]
29760cj (4 curves)	0	2- 3- 5+ 31-	2- 3- 5+  0  0  2  6  4
Curve Equation t 29760cj1 [0,1,0,239,-2065] 2 29760cj2 [0,1,0,-1761,-23265] 4 29760cj3 [0,1,0,-8961,303615] 2 29760cj4 [0,1,0,-26561,-1674945] 2
29760ck (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+  0  2  6  0  4
Curve Equation t 29760ck1 [0,1,0,21799,754215] 2 29760ck2 [0,1,0,-103201,6429215] 2
29760cl (4 curves)	0	2- 3- 5+ 31-	2- 3- 5+  0 -4 -2  6  0
Curve Equation t 29760cl1 [0,1,0,-1036,-13186] 2 29760cl2 [0,1,0,-1081,-12025] 4 29760cl3 [0,1,0,1919,-64225] 2 29760cl4 [0,1,0,-4801,115199] 2
29760cm (6 curves)	0	2- 3- 5+ 31-	2- 3- 5+  0 -4 -6  2  4
Curve Equation t 29760cm1 [0,1,0,3839,519935] 2 29760cm2 [0,1,0,-78081,7909119] 4 29760cm3 [0,1,0,-236801,-34659585] 2 29760cm4 [0,1,0,-1230081,524696319] 4 29760cm5 [0,1,0,-1210881,541887999] 2 29760cm6 [0,1,0,-19681281,33600317439] 2
29760cn (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+  2 -4  4  2 -8
Curve Equation t 29760cn1 [0,1,0,29919,762975] 2 29760cn2 [0,1,0,-128801,6191199] 2
29760co (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+ -2 -4  4  6 -4
Curve Equation t 29760co1 [0,1,0,-36,-90] 2 29760co2 [0,1,0,39,-345] 2
29760cp (2 curves)	2	2- 3- 5+ 31-	2- 3- 5+ -2 -4 -4  4 -8
Curve Equation t Generators 29760cp1 [0,1,0,-101,-261] 2 [-5:12:1]&[27:132:1] 29760cp2 [0,1,0,-721,7055] 2 [-31:24:1]&[-13:120:1]
29760cq (1 curve)	0	2- 3- 5+ 31-	2- 3- 5+  3  3  2  0  1
Curve Equation t 29760cq1 [0,1,0,-6557761,6461519039] 1
29760cr (4 curves)	0	2- 3- 5+ 31-	2- 3- 5+  4 -4 -2 -6 -4
Curve Equation t 29760cr1 [0,1,0,-641,6015] 2 29760cr2 [0,1,0,-961,-961] 4 29760cr3 [0,1,0,3839,-3841] 2 29760cr4 [0,1,0,-10881,-439425] 2
29760cs (4 curves)	0	2- 3- 5+ 31-	2- 3- 5+ -4  4  2  2  8
Curve Equation t 29760cs1 [0,1,0,-116,-66] 2 29760cs2 [0,1,0,-1241,16359] 4 29760cs3 [0,1,0,-641,32799] 2 29760cs4 [0,1,0,-19841,1069119] 2
29760ct (4 curves)	0	2- 3- 5- 31+	2- 3- 5-  0  0  2 -2 -4
Curve Equation t 29760ct1 [0,1,0,-3505,-222385] 2 29760ct2 [0,1,0,-80385,-8786817] 4 29760ct3 [0,1,0,-105185,-2938977] 2 29760ct4 [0,1,0,-1285665,-561528225] 2
29760cu (2 curves)	0	2- 3- 5- 31+	2- 3- 5-  2  0  0  2  0
Curve Equation t 29760cu1 [0,1,0,335,-2737] 2 29760cu2 [0,1,0,-2145,-29025] 2
29760cv (4 curves)	0	2- 3- 5- 31+	2- 3- 5- -2  0  4  6  8
Curve Equation t 29760cv1 [0,1,0,88895,11475263] 2 29760cv2 [0,1,0,-545985,111405375] 2 29760cv3 [0,1,0,-2537665,1564435775] 2 29760cv4 [0,1,0,-40670145,99816583743] 2
29760cw (1 curve)	1	2- 3- 5- 31-	2- 3- 5- -1  5 -2 -4  1
Curve Equation t Generators 29760cw1 [0,1,0,-665647905,-6850171784097] 1 [100071:30474240:1]
29760cx (4 curves)	1	2- 3- 5- 31-	2- 3- 5- -4 -4 -2  2  4
Curve Equation t Generators 29760cx1 [0,1,0,-15585,-754017] 2 [10317:189440:27] 29760cx2 [0,1,0,-16865,-624225] 4 [-95:360:1] 29760cx3 [0,1,0,42655,-3993057] 2 [11898:463125:8] 29760cx4 [0,1,0,-96865,11071775] 4 [-70:4185:1]

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