Cremona's table of elliptic curves

129675 = 3 · 5² · 7 · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
129675a (1 curve)	1	3+ 5+ 7+ 13+ 19+	2 3+ 5+ 7+ -3 13+ -5 19+
Curve Equation t Generators 129675a1 [0,-1,1,-8958,-382807] 1 [84172143815811097422638:1188452036932127435767197:345490598058206862808]
129675b (2 curves)	0	3+ 5+ 7+ 13+ 19-	0 3+ 5+ 7+  0 13+  3 19-
Curve Equation t 129675b1 [0,-1,1,77,-282] 1 129675b2 [0,-1,1,-2023,-34617] 1
129675c (3 curves)	0	3+ 5+ 7+ 13+ 19-	0 3+ 5+ 7+  3 13+  6 19-
Curve Equation t 129675c1 [0,-1,1,-8583,310943] 1 129675c2 [0,-1,1,25167,1630568] 1 129675c3 [0,-1,1,-247833,-73683307] 1
129675d (2 curves)	0	3+ 5+ 7+ 13- 19+	1 3+ 5+ 7+  2 13- -4 19+
Curve Equation t 129675d1 [1,1,0,-42100,-3315125] 2 129675d2 [1,1,0,-11725,-7962500] 2
129675e (4 curves)	0	3+ 5+ 7+ 13- 19+	1 3+ 5+ 7+ -4 13-  2 19+
Curve Equation t 129675e1 [1,1,0,-9975,-294000] 2 129675e2 [1,1,0,-55100,4714875] 4 129675e3 [1,1,0,37525,19071750] 2 129675e4 [1,1,0,-869725,311828500] 2
129675f (1 curve)	0	3+ 5+ 7+ 13- 19+	1 3+ 5+ 7+  5 13-  8 19+
Curve Equation t 129675f1 [1,1,0,-500,16125] 1
129675g (1 curve)	0	3+ 5+ 7+ 13- 19+	-2 3+ 5+ 7+ -1 13-  2 19+
Curve Equation t 129675g1 [0,-1,1,-358,-3882] 1
129675h (1 curve)	1	3+ 5+ 7+ 13- 19-	0 3+ 5+ 7+ -3 13-  3 19-
Curve Equation t Generators 129675h1 [0,-1,1,-33,863] 1 [-7:26:1]
129675i (1 curve)	0	3+ 5+ 7- 13+ 19+	0 3+ 5+ 7- -3 13+ -2 19+
Curve Equation t 129675i1 [0,-1,1,-323883,-70839082] 1
129675j (1 curve)	0	3+ 5+ 7- 13+ 19+	1 3+ 5+ 7-  3 13+  0 19+
Curve Equation t 129675j1 [1,1,0,-66775,-7499750] 1
129675k (2 curves)	0	3+ 5+ 7- 13+ 19+	-1 3+ 5+ 7-  4 13+ -4 19+
Curve Equation t 129675k1 [1,1,1,638312,-102692344] 2 129675k2 [1,1,1,-2915563,-877437094] 2
129675l (4 curves)	1	3+ 5+ 7- 13- 19+	1 3+ 5+ 7- -4 13-  6 19+
Curve Equation t Generators 129675l1 [1,1,0,-17775,-918000] 2 [-25648:14568:343] 129675l2 [1,1,0,-23900,-238125] 4 [-74:1101:1] 129675l3 [1,1,0,94225,-1773750] 2 [151112:3611337:512] 129675l4 [1,1,0,-240025,44932000] 2 [3958:53209:8]
129675m (4 curves)	1	3+ 5+ 7- 13- 19+	-1 3+ 5+ 7-  0 13- -6 19+
Curve Equation t Generators 129675m1 [1,1,1,-8313,-294594] 2 [-54:48:1] 129675m2 [1,1,1,-11438,-57094] 4 [-96:457:1] 129675m3 [1,1,1,45437,-398344] 2 [29:957:1] 129675m4 [1,1,1,-118313,15546656] 4 [-360:3592:1]
129675n (2 curves)	0	3+ 5+ 7- 13- 19-	1 3+ 5+ 7-  2 13- -4 19-
Curve Equation t 129675n1 [1,1,0,-675,0] 2 129675n2 [1,1,0,2700,3375] 2
129675o (4 curves)	0	3+ 5+ 7- 13- 19-	-1 3+ 5+ 7-  4 13- -2 19-
Curve Equation t 129675o1 [1,1,1,462,-60594] 2 129675o2 [1,1,1,-20663,-1116844] 4 129675o3 [1,1,1,-51538,2958656] 2 129675o4 [1,1,1,-327788,-72369844] 2
129675p (1 curve)	0	3+ 5+ 7- 13- 19-	2 3+ 5+ 7- -5 13-  6 19-
Curve Equation t 129675p1 [0,-1,1,-34658,3109343] 1
129675q (1 curve)	0	3+ 5- 7+ 13+ 19+	0 3+ 5- 7+ -2 13+ -4 19+
Curve Equation t 129675q1 [0,-1,1,-2236333,1571910693] 1
129675r (1 curve)	1	3+ 5- 7- 13+ 19+	-2 3+ 5- 7- -1 13+ -1 19+
Curve Equation t Generators 129675r1 [0,-1,1,2792,13068] 1 [3:146:1]
129675s (1 curve)	0	3+ 5- 7- 13+ 19-	1 3+ 5- 7-  3 13+  3 19-
Curve Equation t 129675s1 [1,1,0,-325,-318500] 1
129675t (2 curves)	0	3- 5+ 7+ 13+ 19+	1 3- 5+ 7+  0 13+  0 19+
Curve Equation t 129675t1 [1,0,1,-375526,-192059677] 2 129675t2 [1,0,1,-7790401,-8363251927] 2
129675u (2 curves)	0	3- 5+ 7+ 13+ 19+	-1 3- 5+ 7+  6 13+  0 19+
Curve Equation t 129675u1 [1,0,0,-146563,-21497008] 2 129675u2 [1,0,0,-62188,-46050133] 2
129675v (4 curves)	1	3- 5+ 7+ 13+ 19-	-1 3- 5+ 7+ -4 13+  6 19-
Curve Equation t Generators 129675v1 [1,0,0,-8113,280592] 2 [53:-13:1] 129675v2 [1,0,0,-8238,271467] 4 [81:-411:1] 129675v3 [1,0,0,6387,1134342] 2 [6:-1086:1] 129675v4 [1,0,0,-24863,-1174908] 2 [-68:484:1]
129675w (4 curves)	1	3- 5+ 7+ 13- 19+	1 3- 5+ 7+  0 13-  2 19+
Curve Equation t Generators 129675w1 [1,0,1,-5426,150623] 2 [10677:203584:27] 129675w2 [1,0,1,-11551,-253627] 4 [-234:2063:8] 129675w3 [1,0,1,38324,-1849627] 2 [12534:493631:8] 129675w4 [1,0,1,-159426,-24505127] 2 [101972:3877023:64]
129675x (4 curves)	1	3- 5+ 7+ 13- 19+	-1 3- 5+ 7+ -4 13- -2 19+
Curve Equation t Generators 129675x1 [1,0,0,-6563,97992] 2 [2097:94914:1] 129675x2 [1,0,0,-51688,-4459633] 4 [-143:184:1] 129675x3 [1,0,0,-1813,-12689008] 2 [256:1780:1] 129675x4 [1,0,0,-823563,-287737758] 2 [8406:761814:1]
129675y (1 curve)	1	3- 5+ 7+ 13- 19+	2 3- 5+ 7+ -1 13-  1 19+
Curve Equation t Generators 129675y1 [0,1,1,112,149] 1 [26:185:8]
129675z (4 curves)	0	3- 5+ 7+ 13- 19-	1 3- 5+ 7+ -4 13- -2 19-
Curve Equation t 129675z1 [1,0,1,-2776,1073] 2 129675z2 [1,0,1,-30901,2082323] 4 129675z3 [1,0,1,-17776,3867323] 2 129675z4 [1,0,1,-494026,133609823] 2
129675ba (4 curves)	0	3- 5+ 7+ 13- 19-	-1 3- 5+ 7+  0 13- -6 19-
Curve Equation t 129675ba1 [1,0,0,-1243134813,34547973865992] 4 129675ba2 [1,0,0,-25224409938,1540931770842867] 4 129675ba3 [1,0,0,-30634956813,831614486077242] 2 129675ba4 [1,0,0,-403514265063,98658907987228992] 2
129675bb (1 curve)	0	3- 5+ 7+ 13- 19-	-1 3- 5+ 7+  3 13- -3 19-
Curve Equation t 129675bb1 [1,0,0,-13,-2548] 1
129675bc (1 curve)	0	3- 5+ 7+ 13- 19-	2 3- 5+ 7+  0 13-  2 19-
Curve Equation t 129675bc1 [0,1,1,2842,-43531] 1
129675bd (4 curves)	1	3- 5+ 7- 13+ 19+	-1 3- 5+ 7-  0 13+ -6 19+
Curve Equation t Generators 129675bd1 [1,0,0,3787,-47208] 2 [3999:50413:27] 129675bd2 [1,0,0,-17338,-406333] 4 [233:2750:1] 129675bd3 [1,0,0,-139213,19703042] 2 [157:1234:1] 129675bd4 [1,0,0,-233463,-43415208] 2 [708:11742:1]
129675be (2 curves)	0	3- 5+ 7- 13+ 19-	1 3- 5+ 7- -2 13+ -4 19-
Curve Equation t 129675be1 [1,0,1,-1771526,702507323] 2 129675be2 [1,0,1,4087849,4370476073] 2
129675bf (4 curves)	0	3- 5+ 7- 13+ 19-	1 3- 5+ 7-  4 13+  2 19-
Curve Equation t 129675bf1 [1,0,1,-3927626,-2996075977] 2 129675bf2 [1,0,1,-4227751,-2511674227] 4 129675bf3 [1,0,1,10319124,-16011174227] 2 129675bf4 [1,0,1,-23576626,41990738273] 2
129675bg (4 curves)	0	3- 5+ 7- 13+ 19-	-1 3- 5+ 7-  0 13+  6 19-
Curve Equation t 129675bg1 [1,0,0,-494963,-134069208] 2 129675bg2 [1,0,0,-516088,-122006833] 4 129675bg3 [1,0,0,905787,-675116208] 2 129675bg4 [1,0,0,-2275963,1203179042] 2
129675bh (2 curves)	0	3- 5+ 7- 13+ 19-	-1 3- 5+ 7- -6 13+  4 19-
Curve Equation t 129675bh1 [1,0,0,-324463,-71163208] 2 129675bh2 [1,0,0,-315088,-75466333] 2
129675bi (1 curve)	0	3- 5+ 7- 13+ 19-	2 3- 5+ 7-  3 13+ -2 19-
Curve Equation t 129675bi1 [0,1,1,2106076842,-5952558992281] 1
129675bj (1 curve)	0	3- 5+ 7- 13+ 19-	2 3- 5+ 7- -3 13+ -6 19-
Curve Equation t 129675bj1 [0,1,1,-15608,776819] 1
129675bk (1 curve)	1	3- 5- 7- 13+ 19-	0 3- 5- 7- -3 13+ -3 19-
Curve Equation t Generators 129675bk1 [0,1,1,-833,106244] 1 [-42:262:1]
129675bl (1 curve)	1	3- 5- 7- 13- 19+	0 3- 5- 7- -2 13-  4 19+
Curve Equation t Generators 129675bl1 [0,1,1,-89453,12539504] 1 [-182:4777:1]
129675bm (1 curve)	1	3- 5- 7- 13- 19+	-2 3- 5- 7- -3 13-  5 19+
Curve Equation t Generators 129675bm1 [0,1,1,-358,-3206] 1 [28:97:1]
129675bn (2 curves)	0	3- 5- 7- 13- 19-	0 3- 5- 7-  0 13- -3 19-
Curve Equation t 129675bn1 [0,1,1,1917,-31381] 3 129675bn2 [0,1,1,-50583,-4428256] 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
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