Cremona's table of elliptic curves

26550 = 2 · 3² · 5² · 59

Class	r	Atkin-Lehner	Eigenvalues
26550a (2 curves)	1	2+ 3+ 5+ 59+	2+ 3+ 5+  1  0  1  3 -4
Curve Equation t Generators 26550a1 [1,-1,0,68808,-16174784] 1 [1328:48488:1] 26550a2 [1,-1,0,-3387192,-2402478784] 1 [2128:3688:1]
26550b (1 curve)	1	2+ 3+ 5+ 59+	2+ 3+ 5+  2  2  4 -2 -2
Curve Equation t Generators 26550b1 [1,-1,0,-27,101] 1 [-2:13:1]
26550c (1 curve)	1	2+ 3+ 5+ 59+	2+ 3+ 5+  3  4  5 -3 -8
Curve Equation t Generators 26550c1 [1,-1,0,-3417,-138259] 1 [74:63:1]
26550d (2 curves)	0	2+ 3+ 5+ 59-	2+ 3+ 5+  0 -4 -4  0  4
Curve Equation t 26550d1 [1,-1,0,-44817,-1962659] 2 26550d2 [1,-1,0,147183,-14442659] 2
26550e (2 curves)	0	2+ 3+ 5+ 59-	2+ 3+ 5+  4 -4  2  4  0
Curve Equation t 26550e1 [1,-1,0,-492,-1584] 2 26550e2 [1,-1,0,-6492,-199584] 2
26550f (1 curve)	1	2+ 3+ 5- 59-	2+ 3+ 5- -2 -2 -4 -2 -2
Curve Equation t Generators 26550f1 [1,-1,0,-6117,-316459] 1 [178:1963:1]
26550g (4 curves)	0	2+ 3- 5+ 59+	2+ 3- 5+  0 -4  6  2  4
Curve Equation t 26550g1 [1,-1,0,-7767,264141] 2 26550g2 [1,-1,0,-12267,-73359] 4 26550g3 [1,-1,0,48483,-620109] 2 26550g4 [1,-1,0,-145017,-21180609] 2
26550h (1 curve)	0	2+ 3- 5+ 59+	2+ 3- 5+ -1 -1 -5 -2 -2
Curve Equation t 26550h1 [1,-1,0,-16692,-825904] 1
26550i (1 curve)	2	2+ 3- 5+ 59+	2+ 3- 5+ -1  2 -3 -5 -6
Curve Equation t Generators 26550i1 [1,-1,0,3708,-3884] 1 [89:968:1]&[8:158:1]
26550j (1 curve)	0	2+ 3- 5+ 59+	2+ 3- 5+ -1  5  3  1  6
Curve Equation t 26550j1 [1,-1,0,-248292,-2210894384] 1
26550k (1 curve)	0	2+ 3- 5+ 59+	2+ 3- 5+ -1  5  7  1 -2
Curve Equation t 26550k1 [1,-1,0,183,-17659] 1
26550l (1 curve)	0	2+ 3- 5+ 59+	2+ 3- 5+  3 -1 -3 -1 -8
Curve Equation t 26550l1 [1,-1,0,12483,723141] 1
26550m (1 curve)	0	2+ 3- 5+ 59+	2+ 3- 5+  3  3 -5  6  6
Curve Equation t 26550m1 [1,-1,0,-4662,123826] 1
26550n (1 curve)	0	2+ 3- 5+ 59+	2+ 3- 5+ -3  0 -2 -3  6
Curve Equation t 26550n1 [1,-1,0,-3582,-81644] 1
26550o (2 curves)	0	2+ 3- 5+ 59+	2+ 3- 5+ -5  3  1  3 -4
Curve Equation t 26550o1 [1,-1,0,35208,-559634] 1 26550o2 [1,-1,0,-429417,121636741] 1
26550p (1 curve)	1	2+ 3- 5+ 59-	2+ 3- 5+  0 -1  5 -3  4
Curve Equation t Generators 26550p1 [1,-1,0,-9399492,-11089518584] 1 [152592165719164875338895337235:-18166189146087382658074096519099:10349761477330972741180375]
26550q (1 curve)	1	2+ 3- 5+ 59-	2+ 3- 5+  0  3  1  5  0
Curve Equation t Generators 26550q1 [1,-1,0,-27,1701] 1 [3:39:1]
26550r (1 curve)	1	2+ 3- 5+ 59-	2+ 3- 5+  1  2 -1  7 -6
Curve Equation t Generators 26550r1 [1,-1,0,-7542,9280116] 1 [124:-3262:1]
26550s (1 curve)	1	2+ 3- 5+ 59-	2+ 3- 5+  1  2  2 -2  3
Curve Equation t Generators 26550s1 [1,-1,0,108,-2484] 1 [28:134:1]
26550t (2 curves)	1	2+ 3- 5+ 59-	2+ 3- 5+  1 -3 -5 -3  8
Curve Equation t Generators 26550t1 [1,-1,0,2133,28291] 1 [29:323:1] 26550t2 [1,-1,0,-48492,4169416] 1 [389:6443:1]
26550u (1 curve)	1	2+ 3- 5+ 59-	2+ 3- 5+  1  5 -1  1  0
Curve Equation t Generators 26550u1 [1,-1,0,-160992,-24823584] 1 [691956:71550747:64]
26550v (1 curve)	1	2+ 3- 5+ 59-	2+ 3- 5+  3  2 -1 -3 -2
Curve Equation t Generators 26550v1 [1,-1,0,177183,-390270659] 1 [1754:-73777:1]
26550w (1 curve)	1	2+ 3- 5+ 59-	2+ 3- 5+ -3 -4  2  3  4
Curve Equation t Generators 26550w1 [1,-1,0,5508,686416] 1 [-55:491:1]
26550x (2 curves)	1	2+ 3- 5+ 59-	2+ 3- 5+  4 -3  1  3  2
Curve Equation t Generators 26550x1 [1,-1,0,1503,100021] 1 [143:1724:1] 26550x2 [1,-1,0,-126072,17271616] 1 [125:1796:1]
26550y (4 curves)	1	2+ 3- 5+ 59-	2+ 3- 5+ -4 -4 -2 -6  4
Curve Equation t Generators 26550y1 [1,-1,0,183,-44659] 2 [50:271:1] 26550y2 [1,-1,0,-17817,-890659] 4 [-82:159:1] 26550y3 [1,-1,0,-40317,1831841] 2 [-196:1573:1] 26550y4 [1,-1,0,-283317,-57973159] 2 [-307:159:1]
26550z (1 curve)	1	2+ 3- 5- 59+	2+ 3- 5- -2 -1  2 -1  7
Curve Equation t Generators 26550z1 [1,-1,0,-267,5741] 1 [29:133:1]
26550ba (1 curve)	1	2+ 3- 5- 59+	2+ 3- 5- -3  6 -1 -3  4
Curve Equation t Generators 26550ba1 [1,-1,0,-13032,-575424] 1 [144:648:1]
26550bb (1 curve)	1	2+ 3- 5- 59+	2+ 3- 5-  4 -1  5 -7 -2
Curve Equation t Generators 26550bb1 [1,-1,0,-307617,66364541] 1 [319:628:1]
26550bc (1 curve)	0	2+ 3- 5- 59-	2+ 3- 5-  0  5 -2  3  1
Curve Equation t 26550bc1 [1,-1,0,-117,-135459] 1
26550bd (1 curve)	0	2+ 3- 5- 59-	2+ 3- 5-  1 -3 -5  2 -2
Curve Equation t 26550bd1 [1,-1,0,-4617,-156659] 1
26550be (2 curves)	0	2+ 3- 5- 59-	2+ 3- 5- -1  3 -1 -6  2
Curve Equation t 26550be1 [1,-1,0,-1242,-24084] 1 26550be2 [1,-1,0,10008,347166] 3
26550bf (1 curve)	0	2+ 3- 5- 59-	2+ 3- 5-  3  0 -2 -1 -2
Curve Equation t 26550bf1 [1,-1,0,1008,23166] 1
26550bg (2 curves)	0	2+ 3- 5- 59-	2+ 3- 5- -4 -3  2  3 -7
Curve Equation t 26550bg1 [1,-1,0,-14517,-2851659] 1 26550bg2 [1,-1,0,129483,73266741] 3
26550bh (1 curve)	0	2+ 3- 5- 59-	2+ 3- 5-  5 -2  1 -5  0
Curve Equation t 26550bh1 [1,-1,0,-18113202,-31358080044] 1
26550bi (1 curve)	0	2+ 3- 5- 59-	2+ 3- 5- -5  0 -2  3  6
Curve Equation t 26550bi1 [1,-1,0,3341133,-35035160459] 1
26550bj (2 curves)	0	2- 3+ 5+ 59+	2- 3+ 5+  0  4 -4  0  4
Curve Equation t 26550bj1 [1,-1,1,-403355,53395147] 2 26550bj2 [1,-1,1,1324645,388627147] 2
26550bk (2 curves)	0	2- 3+ 5+ 59+	2- 3+ 5+  4  4  2 -4  0
Curve Equation t 26550bk1 [1,-1,1,-4430,47197] 2 26550bk2 [1,-1,1,-58430,5447197] 2
26550bl (2 curves)	1	2- 3+ 5+ 59-	2- 3+ 5+  1  0  1 -3 -4
Curve Equation t Generators 26550bl1 [1,-1,1,-376355,89106147] 1 [599:8550:1] 26550bl2 [1,-1,1,619270,436099897] 1 [49:21575:1]
26550bm (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+  2 -2  4  2 -2
Curve Equation t Generators 26550bm1 [1,-1,1,-245,-2483] 1 [25:68:1]
26550bn (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+  3 -4  5  3 -8
Curve Equation t Generators 26550bn1 [1,-1,1,-380,5247] 1 [-1:75:1]
26550bo (1 curve)	1	2- 3+ 5- 59+	2- 3+ 5- -2  2 -4  2 -2
Curve Equation t Generators 26550bo1 [1,-1,1,-680,11947] 1 [19:65:1]
26550bp (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+  1  3  1 -7 -4
Curve Equation t Generators 26550bp1 [1,-1,1,-1130,-44503] 1 [69:415:1]
26550bq (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+  2 -1 -2  1  7
Curve Equation t Generators 26550bq1 [1,-1,1,-6680,710947] 1 [203:2671:1]
26550br (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+ -4 -1 -5  7 -2
Curve Equation t Generators 26550br1 [1,-1,1,-12305,533377] 1 [55:-172:1]
26550bs (2 curves)	0	2- 3- 5+ 59-	2- 3- 5+  0  4  0 -2  4
Curve Equation t 26550bs1 [1,-1,1,-5289980,4670643647] 2 26550bs2 [1,-1,1,-2985980,8762547647] 2
26550bt (6 curves)	0	2- 3- 5+ 59-	2- 3- 5+  0 -4  2 -6  4
Curve Equation t 26550bt1 [1,-1,1,700870,209893497] 2 26550bt2 [1,-1,1,-3907130,1960933497] 4 26550bt3 [1,-1,1,-25147130,-47060986503] 2 26550bt4 [1,-1,1,-56395130,162994117497] 4 26550bt5 [1,-1,1,-50320130,199468417497] 2 26550bt6 [1,-1,1,-902278130,10432013737497] 2
26550bu (2 curves)	0	2- 3- 5+ 59-	2- 3- 5+  0 -4 -4  6 -4
Curve Equation t 26550bu1 [1,-1,1,-680,5447] 2 26550bu2 [1,-1,1,1570,32447] 2
26550bv (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+  0  5  2 -3  1
Curve Equation t 26550bv1 [1,-1,1,-5,-1083] 1
26550bw (2 curves)	0	2- 3- 5+ 59-	2- 3- 5+  1  3  1  6  2
Curve Equation t 26550bw1 [1,-1,1,-50,-183] 1 26550bw2 [1,-1,1,400,2697] 1
26550bx (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+ -1 -3  5 -2 -2
Curve Equation t 26550bx1 [1,-1,1,-115430,-19697803] 1
26550by (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+  3  1  3  7  4
Curve Equation t 26550by1 [1,-1,1,-905,10847] 1
26550bz (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+  3 -1  5 -3  2
Curve Equation t 26550bz1 [1,-1,1,58495,5760497] 1
26550ca (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+  3  3  5  1 -2
Curve Equation t 26550ca1 [1,-1,1,-162230,-52140603] 1
26550cb (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+  3  5 -1  3 -8
Curve Equation t 26550cb1 [1,-1,1,-78755,-8516253] 1
26550cc (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+ -3  0  2  1 -2
Curve Equation t 26550cc1 [1,-1,1,40,177] 1
26550cd (2 curves)	0	2- 3- 5+ 59-	2- 3- 5+ -3 -2  6 -2 -5
Curve Equation t 26550cd1 [1,-1,1,-5630,-166003] 1 26550cd2 [1,-1,1,25870,8527997] 1
26550ce (2 curves)	0	2- 3- 5+ 59-	2- 3- 5+  4 -3 -2 -3 -7
Curve Equation t 26550ce1 [1,-1,1,-362930,-356820303] 1 26550ce2 [1,-1,1,3237070,9161579697] 1
26550cf (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+  5  0  2 -3  6
Curve Equation t 26550cf1 [1,-1,1,133645,-280308013] 1
26550cg (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+  5 -6  5  3 -6
Curve Equation t 26550cg1 [1,-1,1,-15980,818147] 1
26550ch (1 curve)	0	2- 3- 5- 59+	2- 3- 5-  1 -1  5  2 -2
Curve Equation t 26550ch1 [1,-1,1,-417305,-103655303] 1
26550ci (1 curve)	0	2- 3- 5- 59+	2- 3- 5-  3  0  2  3  6
Curve Equation t 26550ci1 [1,-1,1,-89555,-10295053] 1
26550cj (1 curve)	0	2- 3- 5- 59+	2- 3- 5-  3  6  1  3  4
Curve Equation t 26550cj1 [1,-1,1,-325805,-72253803] 1
26550ck (1 curve)	0	2- 3- 5- 59+	2- 3- 5- -3  3  5 -6  6
Curve Equation t 26550ck1 [1,-1,1,-116555,15361697] 1
26550cl (1 curve)	1	2- 3- 5- 59-	2- 3- 5-  0 -1 -5  3  4
Curve Equation t Generators 26550cl1 [1,-1,1,-375980,-88640953] 1 [1179:32665:1]
26550cm (1 curve)	1	2- 3- 5- 59-	2- 3- 5-  0  3 -1 -5  0
Curve Equation t Generators 26550cm1 [1,-1,1,-680,211947] 1 [-31:465:1]
26550cn (1 curve)	1	2- 3- 5- 59-	2- 3- 5-  3 -4 -2 -3  4
Curve Equation t Generators 26550cn1 [1,-1,1,220,5447] 1 [9:-95:1]
26550co (2 curves)	1	2- 3- 5- 59-	2- 3- 5- -4 -3 -1 -3  2
Curve Equation t Generators 26550co1 [1,-1,1,37570,12540197] 1 [-177:655:1] 26550co2 [1,-1,1,-3151805,2155800197] 3 [-2031:14290:1]
26550cp (1 curve)	1	2- 3- 5- 59-	2- 3- 5- -5 -2 -1  5  0
Curve Equation t Generators 26550cp1 [1,-1,1,-452830055,-3920212835553] 1 [32369:3899940:1]

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