Cremona's table of elliptic curves

76752 = 2⁴ · 3² · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
76752a (1 curve)	0	2+ 3+ 13- 41+	2+ 3+  1  1  0 13- -3 -8
Curve Equation t 76752a1 [0,0,0,-627,-6043] 1
76752b (1 curve)	2	2+ 3+ 13- 41+	2+ 3+  1 -1 -6 13-  7 -4
Curve Equation t Generators 76752b1 [0,0,0,-1647,26973] 1 [162:351:8]&[28:53:1]
76752c (1 curve)	0	2+ 3+ 13- 41+	2+ 3+ -2  2  5 13-  1  2
Curve Equation t 76752c1 [0,0,0,-276,-1796] 1
76752d (1 curve)	2	2+ 3+ 13- 41+	2+ 3+ -3 -2 -3 13- -3  0
Curve Equation t Generators 76752d1 [0,0,0,-1899,6346] 1 [107:1014:1]&[-10:156:1]
76752e (1 curve)	1	2+ 3+ 13- 41-	2+ 3+ -1  1  0 13-  3 -8
Curve Equation t Generators 76752e1 [0,0,0,-5643,163161] 1 [354:81:8]
76752f (1 curve)	1	2+ 3+ 13- 41-	2+ 3+ -1 -1  6 13- -7 -4
Curve Equation t Generators 76752f1 [0,0,0,-183,-999] 1 [16:13:1]
76752g (1 curve)	1	2+ 3+ 13- 41-	2+ 3+  2  2 -5 13- -1  2
Curve Equation t Generators 76752g1 [0,0,0,-2484,48492] 1 [258:351:8]
76752h (1 curve)	1	2+ 3+ 13- 41-	2+ 3+  3 -2  3 13-  3  0
Curve Equation t Generators 76752h1 [0,0,0,-17091,-171342] 1 [147:702:1]
76752i (1 curve)	0	2+ 3- 13+ 41+	2+ 3-  3 -3  2 13+ -1  4
Curve Equation t 76752i1 [0,0,0,-831,10793] 1
76752j (1 curve)	0	2+ 3- 13+ 41+	2+ 3-  3 -5  4 13+ -3  4
Curve Equation t 76752j1 [0,0,0,-22071,-2424503] 1
76752k (1 curve)	2	2+ 3- 13+ 41+	2+ 3- -3  0  3 13+  1 -8
Curve Equation t Generators 76752k1 [0,0,0,-20739,1149554] 1 [-29:1314:1]&[82:18:1]
76752l (1 curve)	0	2+ 3- 13+ 41+	2+ 3- -3  4  5 13+  5  0
Curve Equation t 76752l1 [0,0,0,-1299,-10046] 1
76752m (1 curve)	1	2+ 3- 13+ 41-	2+ 3-  3  4 -5 13+  3 -8
Curve Equation t Generators 76752m1 [0,0,0,-4772091,-3779406758] 1 [-135945:1392934:125]
76752n (1 curve)	1	2+ 3- 13- 41+	2+ 3-  1  0  3 13-  7  4
Curve Equation t Generators 76752n1 [0,0,0,-78627,8485778] 1 [163:18:1]
76752o (2 curves)	1	2+ 3- 13- 41+	2+ 3- -2  2 -4 13-  4 -4
Curve Equation t Generators 76752o1 [0,0,0,69,31930] 2 [5:180:1] 76752o2 [0,0,0,-14691,672514] 2 [-19:972:1]
76752p (1 curve)	1	2+ 3- 13- 41+	2+ 3- -2 -2 -6 13-  0  4
Curve Equation t Generators 76752p1 [0,0,0,69,-934] 1 [11:34:1]
76752q (1 curve)	1	2+ 3- 13- 41+	2+ 3-  3  1  0 13-  3 -4
Curve Equation t Generators 76752q1 [0,0,0,69,-583] 1 [128:1451:1]
76752r (1 curve)	1	2+ 3- 13- 41+	2+ 3- -3 -5  6 13- -3  8
Curve Equation t Generators 76752r1 [0,0,0,5901,-1458286] 1 [575:13858:1]
76752s (1 curve)	0	2+ 3- 13- 41-	2+ 3-  1  3  6 13- -5  4
Curve Equation t 76752s1 [0,0,0,753,3053] 1
76752t (1 curve)	0	2+ 3- 13- 41-	2+ 3- -4 -2  1 13- -5  4
Curve Equation t 76752t1 [0,0,0,-58468692,-172081194820] 1
76752u (1 curve)	0	2- 3+ 13+ 41+	2- 3+  1  1 -4 13+ -5  0
Curve Equation t 76752u1 [0,0,0,-596457,177825807] 1
76752v (1 curve)	2	2- 3+ 13+ 41+	2- 3+  1 -1 -6 13+ -3 -4
Curve Equation t Generators 76752v1 [0,0,0,3,23] 1 [-2:3:1]&[14:53:1]
76752w (1 curve)	0	2- 3+ 13+ 41+	2- 3+  1  2  1 13+  3  0
Curve Equation t 76752w1 [0,0,0,-52467,4600242] 1
76752x (1 curve)	0	2- 3+ 13+ 41+	2- 3+  1 -2 -1 13+ -5  0
Curve Equation t 76752x1 [0,0,0,-3238947,-1976309982] 1
76752y (1 curve)	0	2- 3+ 13+ 41+	2- 3+  1 -2  5 13+  7  0
Curve Equation t 76752y1 [0,0,0,-199827,34380882] 1
76752z (1 curve)	0	2- 3+ 13+ 41+	2- 3+  1  4 -1 13+  7  6
Curve Equation t 76752z1 [0,0,0,-13284567,-18636572718] 1
76752ba (1 curve)	0	2- 3+ 13+ 41+	2- 3+  2  2  5 13+ -3 -6
Curve Equation t 76752ba1 [0,0,0,6696,-302292] 1
76752bb (2 curves)	0	2- 3+ 13+ 41+	2- 3+ -2 -2 -4 13+  4  6
Curve Equation t 76752bb1 [0,0,0,-3853251,2961815490] 2 76752bb2 [0,0,0,-61948611,187670203074] 2
76752bc (1 curve)	1	2- 3+ 13+ 41-	2- 3+ -1  1  4 13+  5  0
Curve Equation t Generators 76752bc1 [0,0,0,-66273,-6586141] 1 [4850:106149:8]
76752bd (1 curve)	1	2- 3+ 13+ 41-	2- 3+ -1 -1  6 13+  3 -4
Curve Equation t Generators 76752bd1 [0,0,0,27,-621] 1 [34:199:1]
76752be (1 curve)	1	2- 3+ 13+ 41-	2- 3+ -1  2 -1 13+ -3  0
Curve Equation t Generators 76752be1 [0,0,0,-472203,-124206534] 1 [-3006:3321:8]
76752bf (1 curve)	1	2- 3+ 13+ 41-	2- 3+ -1 -2  1 13+  5  0
Curve Equation t Generators 76752bf1 [0,0,0,-359883,73196666] 1 [151:4722:1]
76752bg (1 curve)	1	2- 3+ 13+ 41-	2- 3+ -1 -2 -5 13+ -7  0
Curve Equation t Generators 76752bg1 [0,0,0,-22203,-1273366] 1 [-86:6:1]
76752bh (1 curve)	1	2- 3+ 13+ 41-	2- 3+ -1  4  1 13+ -7  6
Curve Equation t Generators 76752bh1 [0,0,0,-1476063,690243434] 1 [-10798:119613:8]
76752bi (2 curves)	1	2- 3+ 13+ 41-	2- 3+  2 -2  4 13+ -4  6
Curve Equation t Generators 76752bi1 [0,0,0,-428139,-109696870] 2 [22676345:69468350:29791] 76752bi2 [0,0,0,-6883179,-6950748262] 2 [3162939459743:-1759669339725550:10218313]
76752bj (1 curve)	1	2- 3+ 13+ 41-	2- 3+ -2  2 -5 13+  3 -6
Curve Equation t Generators 76752bj1 [0,0,0,744,11196] 1 [30:246:1]
76752bk (1 curve)	1	2- 3+ 13- 41+	2- 3+ -3  2  3 13- -7 -4
Curve Equation t Generators 76752bk1 [0,0,0,-339,-2286] 1 [-9:6:1]
76752bl (2 curves)	1	2- 3+ 13- 41+	2- 3+ -3  4  3 13- -3 -2
Curve Equation t Generators 76752bl1 [0,0,0,-1719,-27406] 1 [-190:39:8] 76752bl2 [0,0,0,-6399,168426] 1 [66:2727:8]
76752bm (1 curve)	0	2- 3+ 13- 41-	2- 3+  3  2 -3 13-  7 -4
Curve Equation t 76752bm1 [0,0,0,-3051,61722] 1
76752bn (2 curves)	0	2- 3+ 13- 41-	2- 3+  3  4 -3 13-  3 -2
Curve Equation t 76752bn1 [0,0,0,-711,-6238] 1 76752bn2 [0,0,0,-15471,739962] 1
76752bo (1 curve)	1	2- 3- 13+ 41+	2- 3-  1  2  3 13+  3 -4
Curve Equation t Generators 76752bo1 [0,0,0,-4827,122762] 1 [31:54:1]
76752bp (1 curve)	1	2- 3- 13+ 41+	2- 3- -1 -3  6 13+ -3 -4
Curve Equation t Generators 76752bp1 [0,0,0,-78363,-19699254] 1 [517253:3889342:1331]
76752bq (4 curves)	1	2- 3- 13+ 41+	2- 3-  2  0  0 13+  6  8
Curve Equation t Generators 76752bq1 [0,0,0,-23859,1347570] 2 [-137:1430:1] 76752bq2 [0,0,0,-69939,-5426190] 4 [196995:7703982:125] 76752bq3 [0,0,0,166221,-34190478] 2 [186992193773:-4422103342930:517781627] 76752bq4 [0,0,0,-1043379,-410182542] 2 [-1717927783:445446730:2924207]
76752br (2 curves)	1	2- 3- 13+ 41+	2- 3- -2 -4  0 13+  6  8
Curve Equation t Generators 76752br1 [0,0,0,-1596,-24541] 2 [12077340:53359163:216000] 76752br2 [0,0,0,-1551,-25990] 2 [5142:69290:27]
76752bs (1 curve)	1	2- 3- 13+ 41+	2- 3- -3  2 -3 13+ -5 -4
Curve Equation t Generators 76752bs1 [0,0,0,-1307739,181918474] 1 [-793:26838:1]
76752bt (1 curve)	0	2- 3- 13+ 41-	2- 3-  0  2 -1 13+  3 -4
Curve Equation t 76752bt1 [0,0,0,39120,2971888] 1
76752bu (1 curve)	0	2- 3- 13+ 41-	2- 3- -1  1 -2 13+  5  0
Curve Equation t 76752bu1 [0,0,0,-243723,46347194] 1
76752bv (1 curve)	0	2- 3- 13+ 41-	2- 3- -1 -2 -5 13+ -1  6
Curve Equation t 76752bv1 [0,0,0,-9903,-377926] 1
76752bw (2 curves)	0	2- 3- 13+ 41-	2- 3-  2 -2 -2 13+  2 -6
Curve Equation t 76752bw1 [0,0,0,-11077284,14190509603] 2 76752bw2 [0,0,0,-11044479,14278735370] 2
76752bx (1 curve)	0	2- 3- 13+ 41-	2- 3-  2 -2 -2 13+ -4  0
Curve Equation t 76752bx1 [0,0,0,-24699,3526058] 1
76752by (2 curves)	0	2- 3- 13+ 41-	2- 3-  2 -2  4 13+ -4  0
Curve Equation t 76752by1 [0,0,0,114981,-21921910] 2 76752by2 [0,0,0,-829659,-229553782] 2
76752bz (1 curve)	0	2- 3- 13+ 41-	2- 3- -2  2 -2 13+  0  0
Curve Equation t 76752bz1 [0,0,0,-109251,-14125374] 1
76752ca (1 curve)	0	2- 3- 13+ 41-	2- 3-  3  0  1 13+  3  4
Curve Equation t 76752ca1 [0,0,0,-115491,14831138] 1
76752cb (1 curve)	0	2- 3- 13+ 41-	2- 3-  3  2 -1 13+ -3 -4
Curve Equation t 76752cb1 [0,0,0,-1011,-11918] 1
76752cc (1 curve)	0	2- 3- 13+ 41-	2- 3- -3  3 -2 13+ -3  4
Curve Equation t 76752cc1 [0,0,0,-129,-601] 1
76752cd (1 curve)	0	2- 3- 13+ 41-	2- 3- -4 -2  4 13+  2  0
Curve Equation t 76752cd1 [0,0,0,393,-5470] 1
76752ce (1 curve)	0	2- 3- 13- 41+	2- 3-  0  2  0 13-  2 -4
Curve Equation t 76752ce1 [0,0,0,-495,4266] 1
76752cf (1 curve)	0	2- 3- 13- 41+	2- 3-  1 -2  1 13-  1  0
Curve Equation t 76752cf1 [0,0,0,-45867,866842] 1
76752cg (1 curve)	0	2- 3- 13- 41+	2- 3- -1  5  2 13-  1  4
Curve Equation t 76752cg1 [0,0,0,987,21179] 1
76752ch (1 curve)	1	2- 3- 13- 41-	2- 3- -1 -2  1 13-  1  6
Curve Equation t Generators 76752ch1 [0,0,0,-183,466] 1 [-10:36:1]
76752ci (1 curve)	1	2- 3- 13- 41-	2- 3- -1 -2 -5 13-  7  0
Curve Equation t Generators 76752ci1 [0,0,0,-4314245763,109069843782274] 1 [37847:21294:1]
76752cj (1 curve)	1	2- 3- 13- 41-	2- 3- -1  4 -1 13- -7  8
Curve Equation t Generators 76752cj1 [0,0,0,-9363,45394] 1 [-1:234:1]
76752ck (2 curves)	1	2- 3- 13- 41-	2- 3-  3 -2  3 13- -3 -2
Curve Equation t Generators 76752ck1 [0,0,0,-329871,-53936998] 1 [-4529811310:23437079541:24389000] 76752ck2 [0,0,0,-24736791,-47354705422] 1 [-2871110:9963:1000]
76752cl (1 curve)	1	2- 3- 13- 41-	2- 3- -3 -1  0 13-  5 -4
Curve Equation t Generators 76752cl1 [0,0,0,231,-35089] 1 [38:169:1]
76752cm (1 curve)	1	2- 3- 13- 41-	2- 3-  4 -2 -5 13-  7  0
Curve Equation t Generators 76752cm1 [0,0,0,-1369116048,-19498827855440] 1 [28514065720:11160409333905:175616]

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