Cremona's table of elliptic curves

78390 = 2 · 3² · 5 · 13 · 67

Class	r	Atkin-Lehner	Eigenvalues
78390a (1 curve)	2	2+ 3+ 5+ 13- 67+	2+ 3+ 5+  0 -5 13-  4 -5
Curve Equation t Generators 78390a1 [1,-1,0,-15,81] 1 [3:-9:1]&[-2:11:1]
78390b (2 curves)	1	2+ 3+ 5+ 13- 67-	2+ 3+ 5+ -4  3 13-  0  5
Curve Equation t Generators 78390b1 [1,-1,0,-22830,1358100] 3 [-140:1410:1] 78390b2 [1,-1,0,94755,6018821] 1 [-114:64057:27]
78390c (2 curves)	1	2+ 3+ 5- 13+ 67-	2+ 3+ 5-  0 -4 13+  4  4
Curve Equation t Generators 78390c1 [1,-1,0,-117999,-15562195] 2 [541:8602:1] 78390c2 [1,-1,0,-93999,-22094995] 2 [2851:149827:1]
78390d (1 curve)	1	2+ 3+ 5- 13- 67+	2+ 3+ 5-  1  3 13- -1 -3
Curve Equation t Generators 78390d1 [1,-1,0,-1014,-12952] 1 [52:244:1]
78390e (2 curves)	1	2+ 3+ 5- 13- 67+	2+ 3+ 5-  2  4 13- -2  0
Curve Equation t Generators 78390e1 [1,-1,0,-4929,-66115] 2 [-41:277:1] 78390e2 [1,-1,0,16671,-502435] 2 [119:1717:1]
78390f (1 curve)	1	2+ 3+ 5- 13- 67+	2+ 3+ 5- -4  3 13-  4  7
Curve Equation t Generators 78390f1 [1,-1,0,-608829,2165741253] 1 [6474:515931:1]
78390g (1 curve)	0	2+ 3- 5+ 13+ 67+	2+ 3- 5+ -1 -2 13+ -6  1
Curve Equation t 78390g1 [1,-1,0,-1660047255,-25985555323299] 1
78390h (2 curves)	1	2+ 3- 5+ 13+ 67-	2+ 3- 5+  0  0 13+  2 -6
Curve Equation t Generators 78390h1 [1,-1,0,990,13716] 2 [-3:105:1] 78390h2 [1,-1,0,-6210,138996] 2 [-63:558:1]
78390i (1 curve)	1	2+ 3- 5+ 13+ 67-	2+ 3- 5+ -3  0 13+ -4  3
Curve Equation t Generators 78390i1 [1,-1,0,-3343590,-212554044] 1 [-1368:43110:1]
78390j (2 curves)	1	2+ 3- 5+ 13+ 67-	2+ 3- 5+  4 -4 13+  6  2
Curve Equation t Generators 78390j1 [1,-1,0,19920,670976] 2 [39245:-788128:125] 78390j2 [1,-1,0,-95280,5901056] 2 [1321:46072:1]
78390k (2 curves)	1	2+ 3- 5+ 13- 67+	2+ 3- 5+  0 -2 13-  2  4
Curve Equation t Generators 78390k1 [1,-1,0,-1470694095,21708958665325] 2 [22133:-13231:1] 78390k2 [1,-1,0,-1471080015,21696995839981] 2 [13557:2053585:1]
78390l (6 curves)	1	2+ 3- 5+ 13- 67+	2+ 3- 5+  0  4 13- -2  4
Curve Equation t Generators 78390l1 [1,-1,0,89055,-1608579] 2 [221067978:6698631011:2803221] 78390l2 [1,-1,0,-360945,-12678579] 4 [20586:325757:27] 78390l3 [1,-1,0,-3641445,2662241121] 4 [-15:52131:1] 78390l4 [1,-1,0,-4280445,-3401478279] 2 [167115:-12373423:27] 78390l5 [1,-1,0,-1588095,5644937331] 2 [375:71241:1] 78390l6 [1,-1,0,-58182795,170835039711] 2 [3225:127731:1]
78390m (4 curves)	1	2+ 3- 5+ 13- 67+	2+ 3- 5+  0  4 13-  6 -4
Curve Equation t Generators 78390m1 [1,-1,0,3060,-129920] 2 [334:1939:8] 78390m2 [1,-1,0,-27360,-1474484] 4 [-100:554:1] 78390m3 [1,-1,0,-122130,15034450] 2 [5518:125887:8] 78390m4 [1,-1,0,-419310,-104400554] 2 [-23820:13681:64]
78390n (1 curve)	1	2+ 3- 5+ 13- 67+	2+ 3- 5+  3 -3 13- -2 -2
Curve Equation t Generators 78390n1 [1,-1,0,-15246106800,724590263420000] 1 [262306219:226432659697:343]
78390o (1 curve)	1	2+ 3- 5+ 13- 67+	2+ 3- 5+  3 -5 13-  2 -2
Curve Equation t Generators 78390o1 [1,-1,0,-12285,530491] 1 [65:26:1]
78390p (1 curve)	1	2+ 3- 5+ 13- 67+	2+ 3- 5+  3 -5 13-  3 -1
Curve Equation t Generators 78390p1 [1,-1,0,-28530,1862356] 1 [212:2198:1]
78390q (1 curve)	1	2+ 3- 5+ 13- 67+	2+ 3- 5+  3  6 13- -2  7
Curve Equation t Generators 78390q1 [1,-1,0,-5325,-147799] 1 [-40:21:1]
78390r (1 curve)	1	2+ 3- 5+ 13- 67+	2+ 3- 5+  5 -2 13- -8 -1
Curve Equation t Generators 78390r1 [1,-1,0,-450,-3560] 1 [-12:8:1]
78390s (1 curve)	0	2+ 3- 5+ 13- 67-	2+ 3- 5+  1  4 13-  0  1
Curve Equation t 78390s1 [1,-1,0,-6255,-158675] 1
78390t (2 curves)	1	2+ 3- 5- 13+ 67+	2+ 3- 5-  2  4 13+  0  4
Curve Equation t Generators 78390t1 [1,-1,0,-9369,-251667] 2 [-63:324:1] 78390t2 [1,-1,0,-54369,4689333] 2 [207:-1611:1]
78390u (1 curve)	1	2+ 3- 5- 13+ 67+	2+ 3- 5- -5 -2 13+ -2 -3
Curve Equation t Generators 78390u1 [1,-1,0,-13869,-485595] 1 [-86:299:1]
78390v (1 curve)	0	2+ 3- 5- 13+ 67-	2+ 3- 5- -1 -5 13+ -6 -2
Curve Equation t 78390v1 [1,-1,0,-292815324,-1994900809050] 1
78390w (2 curves)	0	2+ 3- 5- 13+ 67-	2+ 3- 5-  4  0 13+ -6 -2
Curve Equation t 78390w1 [1,-1,0,-1302219,191974725] 2 78390w2 [1,-1,0,4872501,1484961093] 2
78390x (2 curves)	0	2+ 3- 5- 13+ 67-	2+ 3- 5- -4 -2 13+  6 -2
Curve Equation t 78390x1 [1,-1,0,-294219,-52491915] 2 78390x2 [1,-1,0,513801,-290534607] 2
78390y (2 curves)	0	2+ 3- 5- 13- 67+	2+ 3- 5-  0 -2 13- -4  4
Curve Equation t 78390y1 [1,-1,0,7283781,85120298725] 2 78390y2 [1,-1,0,-251501499,1480128229093] 2
78390z (2 curves)	0	2+ 3- 5- 13- 67+	2+ 3- 5-  0 -6 13-  0  4
Curve Equation t 78390z1 [1,-1,0,-1809,-32675] 2 78390z2 [1,-1,0,-29889,-1981427] 2
78390ba (1 curve)	1	2+ 3- 5- 13- 67-	2+ 3- 5-  1  0 13-  8  1
Curve Equation t Generators 78390ba1 [1,-1,0,-892464534,-10261837201932] 1 [-472369695426443964:238775749094874462:27387943334207]
78390bb (2 curves)	1	2+ 3- 5- 13- 67-	2+ 3- 5-  2  0 13-  4 -4
Curve Equation t Generators 78390bb1 [1,-1,0,-1206369,-500623875] 2 [-654:3207:1] 78390bb2 [1,-1,0,-19206369,-32393023875] 2 [-2529:1332:1]
78390bc (1 curve)	1	2+ 3- 5- 13- 67-	2+ 3- 5- -2  3 13-  2  1
Curve Equation t Generators 78390bc1 [1,-1,0,5211,-216027] 1 [102:-1221:1]
78390bd (2 curves)	1	2+ 3- 5- 13- 67-	2+ 3- 5- -4  0 13- -2 -4
Curve Equation t Generators 78390bd1 [1,-1,0,-639,8505] 2 [9:-63:1] 78390bd2 [1,-1,0,-11169,457083] 2 [-23:849:1]
78390be (2 curves)	1	2- 3+ 5+ 13+ 67-	2- 3+ 5+  0  4 13+ -4  4
Curve Equation t Generators 78390be1 [1,-1,1,-1061993,421241257] 2 [575:388:1] 78390be2 [1,-1,1,-845993,597410857] 2 [-713:29300:1]
78390bf (1 curve)	1	2- 3+ 5+ 13- 67+	2- 3+ 5+  1 -3 13-  1 -3
Curve Equation t Generators 78390bf1 [1,-1,1,-113,517] 1 [7:2:1]
78390bg (2 curves)	1	2- 3+ 5+ 13- 67+	2- 3+ 5+  2 -4 13-  2  0
Curve Equation t Generators 78390bg1 [1,-1,1,-548,2631] 2 [45:-283:1] 78390bg2 [1,-1,1,1852,17991] 2 [33:-355:1]
78390bh (1 curve)	1	2- 3+ 5+ 13- 67+	2- 3+ 5+ -4 -3 13- -4  7
Curve Equation t Generators 78390bh1 [1,-1,1,-5479463,-58469534369] 1 [4915:180062:1]
78390bi (1 curve)	0	2- 3+ 5- 13- 67+	2- 3+ 5-  0  5 13- -4 -5
Curve Equation t 78390bi1 [1,-1,1,-137,-2051] 1
78390bj (2 curves)	1	2- 3+ 5- 13- 67-	2- 3+ 5- -4 -3 13-  0  5
Curve Equation t Generators 78390bj1 [1,-1,1,10528,-226429] 3 [21:49:1] 78390bj2 [1,-1,1,-205472,-36463229] 1 [2431:-118801:1]
78390bk (2 curves)	1	2- 3- 5+ 13+ 67+	2- 3- 5+  0  2 13+ -4 -4
Curve Equation t Generators 78390bk1 [1,-1,1,-3068978,2073714081] 2 [1151:7497:1] 78390bk2 [1,-1,1,-49127198,132547439697] 2 [49315519:-16253181:12167]
78390bl (2 curves)	1	2- 3- 5+ 13+ 67+	2- 3- 5+ -2  4 13+  0  4
Curve Equation t Generators 78390bl1 [1,-1,1,-407551433,3107593764681] 2 [-5497:2279100:1] 78390bl2 [1,-1,1,-879410633,-5437021372599] 2 [-10617:-1638724:1]
78390bm (1 curve)	1	2- 3- 5+ 13+ 67+	2- 3- 5+  3 -4 13+ -4 -7
Curve Equation t Generators 78390bm1 [1,-1,1,-53807198,-142285318419] 1 [-3847:90051:1]
78390bn (2 curves)	1	2- 3- 5+ 13+ 67+	2- 3- 5+ -4  4 13+  6  4
Curve Equation t Generators 78390bn1 [1,-1,1,-1238,-112219] 2 [111:997:1] 78390bn2 [1,-1,1,-43358,-3448123] 2 [267:1855:1]
78390bo (1 curve)	0	2- 3- 5+ 13+ 67-	2- 3- 5+  1  2 13+ -6 -1
Curve Equation t 78390bo1 [1,-1,1,-328448,-72369053] 1
78390bp (1 curve)	0	2- 3- 5+ 13+ 67-	2- 3- 5+ -1  2 13+  0  7
Curve Equation t 78390bp1 [1,-1,1,-73601258,52212961577] 1
78390bq (2 curves)	0	2- 3- 5+ 13- 67+	2- 3- 5+ -4 -4 13-  2 -6
Curve Equation t 78390bq1 [1,-1,1,-8483,-296193] 2 78390bq2 [1,-1,1,-2453,-713469] 2
78390br (1 curve)	1	2- 3- 5+ 13- 67-	2- 3- 5+  1  3 13- -6 -6
Curve Equation t Generators 78390br1 [1,-1,1,-113,-20959] 1 [63:-500:1]
78390bs (3 curves)	1	2- 3- 5+ 13- 67-	2- 3- 5+ -1  6 13-  0 -7
Curve Equation t Generators 78390bs1 [1,-1,1,-13748,-607669] 1 [-9255:6347:125] 78390bs2 [1,-1,1,-120623,15875831] 3 [-399:802:1] 78390bs3 [1,-1,1,-9723398,11672547221] 3 [-3519:49747:1]
78390bt (1 curve)	1	2- 3- 5+ 13- 67-	2- 3- 5+ -3  2 13-  6 -7
Curve Equation t Generators 78390bt1 [1,-1,1,-4253,-35463] 1 [-25:246:1]
78390bu (2 curves)	0	2- 3- 5- 13+ 67+	2- 3- 5-  0  2 13+  2  8
Curve Equation t 78390bu1 [1,-1,1,-707,-1569] 2 78390bu2 [1,-1,1,-6737,213099] 2
78390bv (1 curve)	0	2- 3- 5- 13+ 67+	2- 3- 5- -3  3 13+ -6 -6
Curve Equation t 78390bv1 [1,-1,1,-1209317,-567920739] 1
78390bw (4 curves)	0	2- 3- 5- 13+ 67+	2- 3- 5-  4  4 13+ -2  0
Curve Equation t 78390bw1 [1,-1,1,-2642,52049] 2 78390bw2 [1,-1,1,-5522,-79279] 4 78390bw3 [1,-1,1,18598,-600271] 2 78390bw4 [1,-1,1,-75722,-7997839] 2
78390bx (4 curves)	1	2- 3- 5- 13+ 67-	2- 3- 5-  0  0 13+  6 -8
Curve Equation t Generators 78390bx1 [1,-1,1,-1009666967,-12341885853009] 2 [38915:-2720898:1] 78390bx2 [1,-1,1,-1198410647,-7404426681681] 4 [74003:17546478:1] 78390bx3 [1,-1,1,4179770473,-55573568064849] 2 [110451:-41930226:1] 78390bx4 [1,-1,1,-9596490647,356759836742319] 2 [70439:5467758:1]
78390by (4 curves)	1	2- 3- 5- 13+ 67-	2- 3- 5-  0 -4 13+ -2  4
Curve Equation t Generators 78390by1 [1,-1,1,-684362,332755849] 2 [17:17911:1] 78390by2 [1,-1,1,-12480842,16970511241] 4 [1921:8039:1] 78390by3 [1,-1,1,-14024522,12508658569] 2 [-223:125111:1] 78390by4 [1,-1,1,-199680842,1086107151241] 2 [9281:-184201:1]
78390bz (1 curve)	1	2- 3- 5- 13+ 67-	2- 3- 5-  2  5 13+ -6  1
Curve Equation t Generators 78390bz1 [1,-1,1,-28967,1904991] 1 [101:-96:1]
78390ca (1 curve)	1	2- 3- 5- 13+ 67-	2- 3- 5- -3  2 13+ -2 -5
Curve Equation t Generators 78390ca1 [1,-1,1,-317,-1979] 1 [-11:14:1]
78390cb (4 curves)	1	2- 3- 5- 13+ 67-	2- 3- 5- -4  0 13+  2  0
Curve Equation t Generators 78390cb1 [1,-1,1,-1534127,-730981321] 2 [-713:406:1] 78390cb2 [1,-1,1,-1580207,-684698569] 4 [-759:9154:1] 78390cb3 [1,-1,1,2182513,-3452555401] 2 [2457:128146:1] 78390cb4 [1,-1,1,-6080207,5044701431] 2 [10311:-1024226:1]
78390cc (2 curves)	1	2- 3- 5- 13+ 67-	2- 3- 5- -4  2 13+  0  4
Curve Equation t Generators 78390cc1 [1,-1,1,735043,27248289] 2 [347:17826:1] 78390cc2 [1,-1,1,-2960987,220920261] 2 [-2402:264447:8]
78390cd (1 curve)	1	2- 3- 5- 13- 67+	2- 3- 5-  1  3 13- -2 -6
Curve Equation t Generators 78390cd1 [1,-1,1,-400862,98058349] 1 [397:-1369:1]
78390ce (2 curves)	1	2- 3- 5- 13- 67+	2- 3- 5-  4  0 13- -2  6
Curve Equation t Generators 78390ce1 [1,-1,1,-587,-10889] 2 [671:17024:1] 78390ce2 [1,-1,1,-11837,-492389] 2 [1118:5467:8]
78390cf (1 curve)	1	2- 3- 5- 13- 67+	2- 3- 5- -5 -1 13-  7 -5
Curve Equation t Generators 78390cf1 [1,-1,1,1408,771491] 1 [-69:619:1]

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