Cremona's table of elliptic curves

125775 = 3² · 5² · 13 · 43

Class	r	Atkin-Lehner	Eigenvalues
125775a (1 curve)	1	3+ 5+ 13+ 43+	1 3+ 5+ -2 -2 13+  6  2
Curve Equation t Generators 125775a1 [1,-1,0,-42,-99] 1 [60:429:1]
125775b (2 curves)	1	3+ 5+ 13+ 43+	1 3+ 5+ -2 -4 13+  0 -2
Curve Equation t Generators 125775b1 [1,-1,0,-12192,376091] 2 [142:3179:8] 125775b2 [1,-1,0,31683,2438216] 2 [4462:109019:8]
125775c (1 curve)	1	3+ 5+ 13+ 43+	-1 3+ 5+ -2  2 13+ -6  2
Curve Equation t Generators 125775c1 [1,-1,1,-380,3052] 1 [10:-19:1]
125775d (2 curves)	1	3+ 5+ 13+ 43+	-1 3+ 5+ -2  4 13+  0 -2
Curve Equation t Generators 125775d1 [1,-1,1,-1355,-13478] 2 [-16:70:1] 125775d2 [1,-1,1,3520,-91478] 2 [55:488:1]
125775e (2 curves)	0	3+ 5+ 13+ 43-	1 3+ 5+  2 -4 13+  0 -6
Curve Equation t 125775e1 [1,-1,0,-23442,2100591] 2 125775e2 [1,-1,0,-426567,107316216] 2
125775f (2 curves)	0	3+ 5+ 13+ 43-	-1 3+ 5+  2  4 13+  0 -6
Curve Equation t 125775f1 [1,-1,1,-210980,-56504978] 2 125775f2 [1,-1,1,-3839105,-2893698728] 2
125775g (2 curves)	0	3+ 5+ 13- 43+	1 3+ 5+  0  2 13- -4  8
Curve Equation t 125775g1 [1,-1,0,-101967,12557816] 2 125775g2 [1,-1,0,-98592,13425191] 2
125775h (2 curves)	0	3+ 5+ 13- 43+	-1 3+ 5+  0 -2 13-  4  8
Curve Equation t 125775h1 [1,-1,1,-11330,-461328] 2 125775h2 [1,-1,1,-10955,-493578] 2
125775i (2 curves)	1	3+ 5+ 13- 43-	1 3+ 5+ -2  2 13- -2  0
Curve Equation t Generators 125775i1 [1,-1,0,-1132692,-463456909] 2 [117236:3784507:64] 125775i2 [1,-1,0,-1352067,-271065034] 2 [6871990:557747287:1000]
125775j (2 curves)	1	3+ 5+ 13- 43-	1 3+ 5+  4 -4 13- -2 -6
Curve Equation t Generators 125775j1 [1,-1,0,-33249192,-65499085909] 2 [-28658:713079:8] 125775j2 [1,-1,0,-515216067,-4501040236534] 2 [2061076:223477837:64]
125775k (2 curves)	1	3+ 5+ 13- 43-	-1 3+ 5+ -2 -2 13-  2  0
Curve Equation t Generators 125775k1 [1,-1,1,-125855,17207022] 2 [170:-924:1] 125775k2 [1,-1,1,-150230,10089522] 2 [45:1826:1]
125775l (2 curves)	1	3+ 5+ 13- 43-	-1 3+ 5+  4  4 13-  2 -6
Curve Equation t Generators 125775l1 [1,-1,1,-3694355,2427123522] 2 [-436:63105:1] 125775l2 [1,-1,1,-57246230,166724276022] 2 [4673:32880:1]
125775m (1 curve)	0	3+ 5- 13- 43-	1 3+ 5-  2  2 13-  6  2
Curve Equation t 125775m1 [1,-1,0,-9492,372041] 1
125775n (1 curve)	0	3+ 5- 13- 43-	-1 3+ 5-  2 -2 13- -6  2
Curve Equation t 125775n1 [1,-1,1,-1055,-13428] 1
125775o (1 curve)	2	3- 5+ 13+ 43+	1 3- 5+ -2 -2 13+  0  5
Curve Equation t Generators 125775o1 [1,-1,0,-3095667,2149570116] 1 [1024:6738:1]&[12782:279859:8]
125775p (4 curves)	0	3- 5+ 13+ 43+	1 3- 5+  4  4 13+ -6  8
Curve Equation t 125775p1 [1,-1,0,-97542,-30447009] 2 125775p2 [1,-1,0,-2177667,-1234839384] 4 125775p3 [1,-1,0,-2806542,-463209759] 2 125775p4 [1,-1,0,-34830792,-79112542509] 2
125775q (1 curve)	0	3- 5+ 13+ 43+	2 3- 5+ -3 -1 13+ -4 -4
Curve Equation t 125775q1 [0,0,1,-631875,-11155469] 1
125775r (1 curve)	0	3- 5+ 13+ 43+	2 3- 5+  4  4 13+ -3 -2
Curve Equation t 125775r1 [0,0,1,-6525,202871] 1
125775s (1 curve)	2	3- 5+ 13+ 43+	-2 3- 5+ -5 -5 13+  0 -4
Curve Equation t Generators 125775s1 [0,0,1,-1785,29016] 1 [26:13:1]&[-62:1643:8]
125775t (1 curve)	1	3- 5+ 13+ 43-	0 3- 5+  3 -3 13+  6 -4
Curve Equation t Generators 125775t1 [0,0,1,-7500,-186719] 1 [-542:813:8]
125775u (4 curves)	1	3- 5+ 13+ 43-	1 3- 5+  0  0 13+  2  4
Curve Equation t Generators 125775u1 [1,-1,0,-23292,-7321509] 2 [6313205362199106:-123747026434599553:13943575120509] 125775u2 [1,-1,0,-726417,-237243384] 4 [14435088:821791023:4096] 125775u3 [1,-1,0,-1092042,27103491] 2 [111462:13063569:8] 125775u4 [1,-1,0,-11610792,-15225027759] 2 [6422801901168:193399747312953:1466003456]
125775v (2 curves)	1	3- 5+ 13- 43+	-1 3- 5+  0  4 13- -2 -4
Curve Equation t Generators 125775v1 [1,-1,1,-1580,133422] 2 [14:-345:1] 125775v2 [1,-1,1,-49955,4293672] 2 [-121:2985:1]
125775w (1 curve)	2	3- 5+ 13- 43-	0 3- 5+ -3 -3 13- -3  0
Curve Equation t Generators 125775w1 [0,0,1,-4800,160906] 1 [46:193:1]&[-40:537:1]
125775x (2 curves)	2	3- 5+ 13- 43-	-1 3- 5+ -2  2 13- -6 -2
Curve Equation t Generators 125775x1 [1,-1,1,-1580,3422] 2 [-36:130:1]&[-26:175:1] 125775x2 [1,-1,1,-16205,-786328] 2 [-75:91:1]&[-71:85:1]
125775y (2 curves)	0	3- 5+ 13- 43-	-1 3- 5+ -2 -2 13-  2  6
Curve Equation t 125775y1 [1,-1,1,-10671980,-13276230978] 2 125775y2 [1,-1,1,-19812605,12847675272] 2
125775z (1 curve)	2	3- 5+ 13- 43-	-1 3- 5+ -2 -2 13- -4 -3
Curve Equation t Generators 125775z1 [1,-1,1,895,368772] 1 [-66:170:1]&[-36:555:1]
125775ba (2 curves)	2	3- 5+ 13- 43-	-1 3- 5+ -2 -2 13-  6  2
Curve Equation t Generators 125775ba1 [1,-1,1,-15283355,-22744950478] 2 [-2336:15505:1]&[-2082:7885:1] 125775ba2 [1,-1,1,-243798980,-1465135575478] 2 [511062:124622165:8]&[127239:44963830:1]
125775bb (1 curve)	0	3- 5+ 13- 43-	2 3- 5+ -2  4 13- -1  6
Curve Equation t 125775bb1 [0,0,1,1005,642721] 1
125775bc (1 curve)	0	3- 5+ 13- 43-	2 3- 5+ -2  4 13-  5  6
Curve Equation t 125775bc1 [0,0,1,290625,183807031] 1
125775bd (1 curve)	1	3- 5- 13+ 43+	1 3- 5-  0  6 13+  2 -7
Curve Equation t Generators 125775bd1 [1,-1,0,-10242,-398709] 1 [5058861850:1273537449053:79507]
125775be (1 curve)	1	3- 5- 13+ 43+	-2 3- 5-  2  4 13+  1  6
Curve Equation t Generators 125775be1 [0,0,1,25125,80340156] 1 [-396:2879:1]
125775bf (1 curve)	1	3- 5- 13+ 43+	-2 3- 5-  2  4 13+ -5  6
Curve Equation t Generators 125775bf1 [0,0,1,11625,1470456] 1 [-638:1517:8]
125775bg (1 curve)	1	3- 5- 13+ 43+	-2 3- 5-  3  3 13+ -7  2
Curve Equation t Generators 125775bg1 [0,0,1,229875,-243502344] 1 [5075:362812:1]
125775bh (1 curve)	2	3- 5- 13- 43+	0 3- 5- -3 -3 13- -6 -4
Curve Equation t Generators 125775bh1 [0,0,1,-300,-1494] 1 [-110:41:8]&[-10:22:1]
125775bi (1 curve)	1	3- 5- 13- 43-	-1 3- 5-  0  6 13- -2 -7
Curve Equation t Generators 125775bi1 [1,-1,1,-410,-3108] 1 [78:620:1]
125775bj (1 curve)	1	3- 5- 13- 43-	2 3- 5- -3  3 13-  7  2
Curve Equation t Generators 125775bj1 [0,0,1,9195,-1948019] 1 [3218:65399:8]
125775bk (1 curve)	1	3- 5- 13- 43-	2 3- 5-  5 -5 13-  0 -4
Curve Equation t Generators 125775bk1 [0,0,1,-44625,3627031] 1 [1995994:2705565:17576]
125775bl (1 curve)	1	3- 5- 13- 43-	-2 3- 5-  3 -1 13-  4 -4
Curve Equation t Generators 125775bl1 [0,0,1,-25275,-89244] 1 [890:26122:1]
125775bm (1 curve)	1	3- 5- 13- 43-	-2 3- 5- -4  4 13-  3 -2
Curve Equation t Generators 125775bm1 [0,0,1,-163125,25358906] 1 [231:-59:1]

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