Cremona's table of elliptic curves

98490 = 2 · 3 · 5 · 7² · 67

Class	r	Atkin-Lehner	Eigenvalues
98490a (1 curve)	1	2+ 3+ 5+ 7+ 67+	2+ 3+ 5+ 7+ -6  4  6 -8
Curve Equation t Generators 98490a1 [1,1,0,1197192,811720512] 1 [-496:10056:1]
98490b (4 curves)	0	2+ 3+ 5+ 7- 67+	2+ 3+ 5+ 7-  4  6 -2  8
Curve Equation t 98490b1 [1,1,0,-68333299493,-7497810464876787] 2 98490b2 [1,1,0,-1120600287013,-456584104945264883] 4 98490b3 [1,1,0,-1147912087333,-433158069166352627] 2 98490b4 [1,1,0,-17929560287013,-29221511942129264883] 2
98490c (2 curves)	0	2+ 3+ 5+ 7- 67+	2+ 3+ 5+ 7- -4  0 -2  4
Curve Equation t 98490c1 [1,1,0,-13353,413253] 2 98490c2 [1,1,0,35647,2794653] 2
98490d (4 curves)	1	2+ 3+ 5+ 7- 67-	2+ 3+ 5+ 7-  0  2 -6  0
Curve Equation t Generators 98490d1 [1,1,0,-1609038,-3549132] 2 [-31353:483916:27] 98490d2 [1,1,0,-17665358,28483573812] 4 [-4411:145751:1] 98490d3 [1,1,0,-9825358,53911829812] 2 [-4516:81050:1] 98490d4 [1,1,0,-282406478,1826552312628] 2 [-17641:1157258:1]
98490e (4 curves)	1	2+ 3+ 5+ 7- 67-	2+ 3+ 5+ 7-  0 -2  0  4
Curve Equation t Generators 98490e1 [1,1,0,-158148,-28763748] 2 [62980:524366:125] 98490e2 [1,1,0,-2658618,-1669572162] 2 [-60012:36621:64] 98490e3 [1,1,0,1131777,187566597] 2 [3422:208401:1] 98490e4 [1,1,0,-4918743,1553774013] 2 [21342:-700101:8]
98490f (2 curves)	1	2+ 3+ 5+ 7- 67-	2+ 3+ 5+ 7-  0  6  0 -2
Curve Equation t Generators 98490f1 [1,1,0,-2209113,-2512777707] 2 [1949:23313:1] 98490f2 [1,1,0,-44315933,-113497933863] 2 [127641:45475242:1]
98490g (1 curve)	1	2+ 3+ 5+ 7- 67-	2+ 3+ 5+ 7- -6  2  0  6
Curve Equation t Generators 98490g1 [1,1,0,-236548,-51345692] 1 [1386:47116:1]
98490h (1 curve)	1	2+ 3+ 5+ 7- 67-	2+ 3+ 5+ 7- -6 -2 -4 -6
Curve Equation t Generators 98490h1 [1,1,0,-4766143,4003011013] 1 [1326:3433:1]
98490i (1 curve)	2	2+ 3+ 5- 7+ 67+	2+ 3+ 5- 7+ -2 -6 -4  2
Curve Equation t Generators 98490i1 [1,1,0,-2622,82356] 1 [20:-206:1]&[17:199:1]
98490j (1 curve)	1	2+ 3+ 5- 7- 67+	2+ 3+ 5- 7-  2 -4  0 -6
Curve Equation t Generators 98490j1 [1,1,0,598,-72876] 1 [868:25166:1]
98490k (2 curves)	1	2+ 3+ 5- 7- 67+	2+ 3+ 5- 7- -2  6  4 -4
Curve Equation t Generators 98490k1 [1,1,0,-68282,9852564] 2 [-92:3966:1] 98490k2 [1,1,0,-1220762,518557236] 2 [547:3579:1]
98490l (4 curves)	1	2+ 3+ 5- 7- 67+	2+ 3+ 5- 7-  4 -2 -2 -4
Curve Equation t Generators 98490l1 [1,1,0,-3756267,2800343421] 2 [623944:2692953:512] 98490l2 [1,1,0,-4007147,2404605309] 4 [734:360763:8] 98490l3 [1,1,0,9124853,14882631709] 2 [36574:3102523:8] 98490l4 [1,1,0,-21153227,-35395642659] 2 [391348:15987801:64]
98490m (1 curve)	0	2+ 3+ 5- 7- 67-	2+ 3+ 5- 7-  3  5  0  0
Curve Equation t 98490m1 [1,1,0,-1005802207,12277300035589] 1
98490n (1 curve)	0	2+ 3+ 5- 7- 67-	2+ 3+ 5- 7- -5 -1 -4  0
Curve Equation t 98490n1 [1,1,0,-714347,232147581] 1
98490o (1 curve)	0	2+ 3- 5+ 7+ 67+	2+ 3- 5+ 7+  2  4  0  6
Curve Equation t 98490o1 [1,0,1,29276,25084322] 1
98490p (1 curve)	1	2+ 3- 5+ 7+ 67-	2+ 3- 5+ 7+  3 -5  0  0
Curve Equation t Generators 98490p1 [1,0,1,-49284308169,-4211261765131508] 1 [1387586:1611464394:1]
98490q (1 curve)	1	2+ 3- 5+ 7+ 67-	2+ 3- 5+ 7+ -5  1  4  0
Curve Equation t Generators 98490q1 [1,0,1,-14579,-678898] 1 [326:5244:1]
98490r (2 curves)	1	2+ 3- 5+ 7- 67+	2+ 3- 5+ 7-  0  0  0  4
Curve Equation t Generators 98490r1 [1,0,1,-491349,132522016] 2 [-722:10898:1] 98490r2 [1,0,1,-471749,143584256] 2 [375:4222:1]
98490s (1 curve)	1	2+ 3- 5+ 7- 67+	2+ 3- 5+ 7- -2  6  4 -2
Curve Equation t Generators 98490s1 [1,0,1,-54,-248] 1 [13:29:1]
98490t (2 curves)	0	2+ 3- 5+ 7- 67-	2+ 3- 5+ 7-  0 -2  4  8
Curve Equation t 98490t1 [1,0,1,-369,-1424] 2 98490t2 [1,0,1,-2819,56396] 2
98490u (4 curves)	2	2+ 3- 5+ 7- 67-	2+ 3- 5+ 7-  0 -6 -6  0
Curve Equation t Generators 98490u1 [1,0,1,-194164,-32946574] 2 [-254:131:1]&[769:16127:1] 98490u2 [1,0,1,-198084,-31547918] 4 [-307:747:1]&[-262:1674:1] 98490u3 [1,0,1,198816,-142044878] 2 [428:4422:1]&[515:9591:1] 98490u4 [1,0,1,-657704,168478706] 2 [-897:6523:1]&[-850:11082:1]
98490v (1 curve)	0	2+ 3- 5+ 7- 67-	2+ 3- 5+ 7- -5 -2 -6 -2
Curve Equation t 98490v1 [1,0,1,-13772309,-34794975904] 1
98490w (1 curve)	0	2+ 3- 5- 7+ 67-	2+ 3- 5- 7+ -6  2  4  6
Curve Equation t 98490w1 [1,0,1,-233541033,-1373733400532] 1
98490x (1 curve)	2	2+ 3- 5- 7+ 67-	2+ 3- 5- 7+ -6 -2  0 -6
Curve Equation t Generators 98490x1 [1,0,1,-4828,149006] 1 [-80:197:1]&[25:-223:1]
98490y (1 curve)	2	2+ 3- 5- 7- 67+	2+ 3- 5- 7- -6 -4 -6  8
Curve Equation t Generators 98490y1 [1,0,1,24432,-2363042] 1 [89:-765:1]&[377:7587:1]
98490z (2 curves)	1	2+ 3- 5- 7- 67-	2+ 3- 5- 7-  0 -6  0  2
Curve Equation t Generators 98490z1 [1,0,1,-108246563,861558013838] 2 [4779:-675740:1] 98490z2 [1,0,1,-2171480743,38923276872806] 2 [32785:-1739968:1]
98490ba (4 curves)	1	2+ 3- 5- 7- 67-	2+ 3- 5- 7-  4 -2 -6  4
Curve Equation t Generators 98490ba1 [1,0,1,6197,110198] 2 [4:365:1] 98490ba2 [1,0,1,-29083,942806] 4 [-50:1532:1] 98490ba3 [1,0,1,-226063,-40738162] 2 [-246:160:1] 98490ba4 [1,0,1,-396583,96051806] 2 [1425:-49958:1]
98490bb (1 curve)	1	2- 3+ 5+ 7+ 67-	2- 3+ 5+ 7+ -2 -2  2 -4
Curve Equation t Generators 98490bb1 [1,1,1,244,1469] 1 [-1:35:1]
98490bc (1 curve)	1	2- 3+ 5+ 7+ 67-	2- 3+ 5+ 7+ -3  1 -4  0
Curve Equation t Generators 98490bc1 [1,1,1,-776896,-263932621] 1 [807759002:44847280695:238328]
98490bd (4 curves)	1	2- 3+ 5+ 7- 67+	2- 3+ 5+ 7-  0 -6 -6 -4
Curve Equation t Generators 98490bd1 [1,1,1,7349,-1190407] 2 [209:-3192:1] 98490bd2 [1,1,1,-133771,-17729671] 4 [-251:460:1] 98490bd3 [1,1,1,-421891,84034313] 2 [517:1848:1] 98490bd4 [1,1,1,-2103571,-1175184151] 2 [-839:460:1]
98490be (2 curves)	1	2- 3+ 5+ 7- 67+	2- 3+ 5+ 7-  2 -6  4  4
Curve Equation t Generators 98490be1 [1,1,1,-24746,1558199] 2 [41:763:1] 98490be2 [1,1,1,-401066,97595063] 2 [281:2539:1]
98490bf (1 curve)	1	2- 3+ 5+ 7- 67+	2- 3+ 5+ 7- -3 -1  0 -5
Curve Equation t Generators 98490bf1 [1,1,1,-14456,-849661] 1 [8646:278213:8]
98490bg (2 curves)	2	2- 3+ 5+ 7- 67-	2- 3+ 5+ 7- -3 -5  0 -5
Curve Equation t Generators 98490bg1 [1,1,1,419,1233203] 1 [227:-3732:1]&[119:1668:1] 98490bg2 [1,1,1,-856381,304701683] 1 [-991:13962:1]&[483:1768:1]
98490bh (2 curves)	0	2- 3+ 5+ 7- 67-	2- 3+ 5+ 7- -4 -4  8  0
Curve Equation t 98490bh1 [1,1,1,-89181,-10280397] 2 98490bh2 [1,1,1,-69581,-14898157] 2
98490bi (1 curve)	0	2- 3+ 5- 7+ 67-	2- 3+ 5- 7+  1  7  0  8
Curve Equation t 98490bi1 [1,1,1,-1765,-75853] 1
98490bj (1 curve)	0	2- 3+ 5- 7+ 67-	2- 3+ 5- 7+ -2  4 -4  2
Curve Equation t 98490bj1 [1,1,1,-87515,-10005703] 1
98490bk (2 curves)	0	2- 3+ 5- 7- 67+	2- 3+ 5- 7-  0  4  4 -4
Curve Equation t 98490bk1 [1,1,1,-1520,17345] 2 98490bk2 [1,1,1,3380,111425] 2
98490bl (2 curves)	0	2- 3+ 5- 7- 67+	2- 3+ 5- 7- -2  2 -2  0
Curve Equation t 98490bl1 [1,1,1,-1030,-28813] 2 98490bl2 [1,1,1,-21610,-1230685] 2
98490bm (2 curves)	0	2- 3+ 5- 7- 67+	2- 3+ 5- 7- -4  2  0 -4
Curve Equation t 98490bm1 [1,1,1,112895,-44228773] 2 98490bm2 [1,1,1,-1399735,-577279585] 2
98490bn (2 curves)	0	2- 3+ 5- 7- 67+	2- 3+ 5- 7- -4  2  0  8
Curve Equation t 98490bn1 [1,1,1,-160035,-24374463] 2 98490bn2 [1,1,1,-316835,31007297] 2
98490bo (4 curves)	1	2- 3+ 5- 7- 67-	2- 3+ 5- 7-  0 -2  0 -8
Curve Equation t Generators 98490bo1 [1,1,1,-43660,-3034963] 2 [-155:273:1] 98490bo2 [1,1,1,-670860,-211767123] 2 [-475:273:1] 98490bo3 [1,1,1,-937420,348598445] 2 [475:-3521:1] 98490bo4 [1,1,1,-1182420,151814445] 2 [-25:13479:1]
98490bp (1 curve)	0	2- 3- 5+ 7- 67+	2- 3- 5+ 7- -1  6  2  2
Curve Equation t 98490bp1 [1,0,0,-3921,-774999] 1
98490bq (6 curves)	0	2- 3- 5+ 7- 67+	2- 3- 5+ 7-  4 -6 -2  4
Curve Equation t 98490bq1 [1,0,0,-318256,-60446464] 2 98490bq2 [1,0,0,-1321776,523802880] 4 98490bq3 [1,0,0,1829904,2642362176] 2 98490bq4 [1,0,0,-20529776,35801215680] 4 98490bq5 [1,0,0,-19912376,38055590040] 2 98490bq6 [1,0,0,-328475176,2291378092520] 2
98490br (1 curve)	1	2- 3- 5+ 7- 67-	2- 3- 5+ 7-  1 -7  0 -8
Curve Equation t Generators 98490br1 [1,0,0,-36,216] 1 [6:12:1]
98490bs (2 curves)	1	2- 3- 5+ 7- 67-	2- 3- 5+ 7-  2  2  4 -4
Curve Equation t Generators 98490bs1 [1,0,0,244,-1044] 2 [2356:14257:64] 98490bs2 [1,0,0,-1226,-9570] 2 [366180:1219437:8000]
98490bt (2 curves)	1	2- 3- 5+ 7- 67-	2- 3- 5+ 7- -2  2  0  4
Curve Equation t Generators 98490bt1 [1,0,0,-8256991,-9937260775] 2 [419380:1206361:125] 98490bt2 [1,0,0,-135317911,-605878387759] 2 [630681880:-1416954946139:125]
98490bu (2 curves)	1	2- 3- 5+ 7- 67-	2- 3- 5+ 7- -2  2 -2  4
Curve Equation t Generators 98490bu1 [1,0,0,125929,-36760599] 2 [270:3981:1] 98490bu2 [1,0,0,-1191191,-431633175] 2 [4974:339141:1]
98490bv (1 curve)	1	2- 3- 5+ 7- 67-	2- 3- 5+ 7- -2 -4  4 -2
Curve Equation t Generators 98490bv1 [1,0,0,-1786,28916] 1 [26:-28:1]
98490bw (1 curve)	0	2- 3- 5- 7+ 67+	2- 3- 5- 7+ -3  1  0  5
Curve Equation t 98490bw1 [1,0,0,-295,2435] 1
98490bx (2 curves)	1	2- 3- 5- 7+ 67-	2- 3- 5- 7+ -3  5  0  5
Curve Equation t Generators 98490bx1 [1,0,0,20530,-422927100] 3 [820:11650:1] 98490bx2 [1,0,0,-41962670,-104638565340] 1 [15912:1796622:1]
98490by (1 curve)	0	2- 3- 5- 7- 67-	2- 3- 5- 7- -2  2 -2  4
Curve Equation t 98490by1 [1,0,0,11955,-468063] 1
98490bz (1 curve)	0	2- 3- 5- 7- 67-	2- 3- 5- 7- -3 -1  4  0
Curve Equation t 98490bz1 [1,0,0,-38067905,90414685227] 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