Cremona's table of elliptic curves

100912 = 2⁴ · 7 · 17 · 53

Class	r	Atkin-Lehner	Eigenvalues
100912a (2 curves)	1	2+ 7+ 17+ 53+	2+  2  4 7+  2 -2 17+  0
Curve Equation t Generators 100912a1 [0,-1,0,-87736,9804288] 2 [-28020:532644:125] 100912a2 [0,-1,0,-200096,-20308192] 2 [-4612249770:-61487885494:16581375]
100912b (2 curves)	1	2+ 7+ 17+ 53+	2+ -2  0 7+  0  2 17+  8
Curve Equation t Generators 100912b1 [0,1,0,-348,-2324] 2 [-10:16:1] 100912b2 [0,1,0,-1408,17604] 2 [-22:196:1]
100912c (2 curves)	2	2+ 7- 17+ 53+	2+  0 -2 7- -4 -6 17+  2
Curve Equation t Generators 100912c1 [0,0,0,-31,-450] 2 [25:120:1]&[1026:11607:8] 100912c2 [0,0,0,-1091,-13806] 2 [-19:8:1]&[45:168:1]
100912d (1 curve)	1	2+ 7- 17+ 53-	2+  1 -3 7- -2 -5 17+  2
Curve Equation t Generators 100912d1 [0,1,0,-57,-61] 1 [-2:7:1]
100912e (1 curve)	1	2+ 7- 17+ 53-	2+  2  2 7-  6  0 17+ -5
Curve Equation t Generators 100912e1 [0,-1,0,-57,197] 1 [820:987:125]
100912f (1 curve)	1	2+ 7- 17- 53+	2+  0  2 7- -2  2 17-  1
Curve Equation t Generators 100912f1 [0,0,0,-2204,-67972] 1 [98405:2755921:125]
100912g (1 curve)	1	2+ 7- 17- 53+	2+  0 -3 7- -5  6 17- -7
Curve Equation t Generators 100912g1 [0,0,0,-4324,-109524] 1 [193:2499:1]
100912h (1 curve)	1	2+ 7- 17- 53+	2+  3  3 7- -2 -3 17- -4
Curve Equation t Generators 100912h1 [0,0,0,-12556,541532] 1 [1731:217:27]
100912i (1 curve)	0	2- 7+ 17+ 53+	2-  1  0 7+  3 -4 17+  6
Curve Equation t 100912i1 [0,1,0,-288,692] 1
100912j (1 curve)	0	2- 7+ 17+ 53+	2- -1  2 7+ -3  4 17+  6
Curve Equation t 100912j1 [0,-1,0,-12892,-536308] 1
100912k (4 curves)	0	2- 7+ 17+ 53+	2-  2  0 7+  0  2 17+  4
Curve Equation t 100912k1 [0,-1,0,-684768,-217374976] 2 100912k2 [0,-1,0,-956128,-28725504] 2 100912k3 [0,-1,0,-3256288,2076119808] 2 100912k4 [0,-1,0,-50896928,139776625664] 2
100912l (1 curve)	1	2- 7+ 17+ 53-	2- -1 -1 7+ -6  7 17+ -6
Curve Equation t Generators 100912l1 [0,-1,0,-3501,80449] 1 [93:-742:1]
100912m (2 curves)	2	2- 7+ 17- 53-	2-  0 -2 7+  0 -4 17-  4
Curve Equation t Generators 100912m1 [0,0,0,109,14674] 2 [-14:102:1]&[9:128:1] 100912m2 [0,0,0,-8371,287730] 2 [-73:714:1]&[18:378:1]
100912n (2 curves)	2	2- 7+ 17- 53-	2- -1  0 7+ -3  2 17- -8
Curve Equation t Generators 100912n1 [0,-1,0,-10388,407260] 1 [45:170:1]&[89:424:1] 100912n2 [0,-1,0,-839308,296237996] 1 [4234:5:8]&[7671:242450:27]
100912o (1 curve)	0	2- 7+ 17- 53-	2-  3 -2 7+  3  2 17-  4
Curve Equation t 100912o1 [0,0,0,-59251,-5551054] 1
100912p (1 curve)	1	2- 7- 17+ 53+	2-  0  1 7- -1 -6 17+ -7
Curve Equation t Generators 100912p1 [0,0,0,-124792,-79725732] 1 [678:12138:1]
100912q (2 curves)	1	2- 7- 17+ 53+	2-  0  2 7-  0 -2 17+ -6
Curve Equation t Generators 100912q1 [0,0,0,6941,430050] 2 [20708:386925:64] 100912q2 [0,0,0,-60899,4893922] 2 [66:1078:1]
100912r (2 curves)	1	2- 7- 17+ 53+	2-  0 -2 7- -2 -4 17+  2
Curve Equation t Generators 100912r1 [0,0,0,-1917571,1022128770] 2 [802:294:1] 100912r2 [0,0,0,-30681731,65413577346] 2 [3191:686:1]
100912s (2 curves)	1	2- 7- 17+ 53+	2- -2  0 7-  2  2 17+ -4
Curve Equation t Generators 100912s1 [0,1,0,-493008,-121100396] 2 [1058:23296:1] 100912s2 [0,1,0,-7684048,-8200952940] 2 [-1598:224:1]
100912t (2 curves)	3	2- 7- 17+ 53+	2- -2 -4 7- -4 -6 17+ -4
Curve Equation t Generators 100912t1 [0,1,0,-560,-2156] 2 [-21:28:1]&[-20:38:1]&[-14:56:1] 100912t2 [0,1,0,-4800,125044] 2 [26:-136:1]&[-76:238:1]&[-69:364:1]
100912u (1 curve)	1	2- 7- 17+ 53+	2-  3 -2 7- -5 -4 17+  2
Curve Equation t Generators 100912u1 [0,0,0,-31,26] 1 [138:28:27]
100912v (1 curve)	1	2- 7- 17+ 53+	2- -3  4 7-  1  4 17+  2
Curve Equation t Generators 100912v1 [0,0,0,-3643,52330] 1 [10:130:1]
100912w (1 curve)	0	2- 7- 17+ 53-	2-  1  1 7- -2 -1 17+ -2
Curve Equation t 100912w1 [0,1,0,-3501965,2432835527] 1
100912x (1 curve)	0	2- 7- 17+ 53-	2- -1  2 7- -3 -2 17+  8
Curve Equation t 100912x1 [0,-1,0,-37952,-2229248] 1
100912y (1 curve)	0	2- 7- 17+ 53-	2- -1 -3 7-  2  3 17+ -2
Curve Equation t 100912y1 [0,-1,0,-5460357,4912930669] 1
100912z (1 curve)	2	2- 7- 17+ 53-	2- -1 -4 7-  3 -2 17+ -4
Curve Equation t Generators 100912z1 [0,-1,0,-7420,199916] 1 [101:686:1]&[17:280:1]
100912ba (2 curves)	0	2- 7- 17+ 53-	2-  2  0 7- -4  6 17+ -2
Curve Equation t 100912ba1 [0,-1,0,392,6576] 2 100912ba2 [0,-1,0,-3848,81200] 2
100912bb (2 curves)	0	2- 7- 17+ 53-	2-  2  2 7-  4  6 17+  8
Curve Equation t 100912bb1 [0,-1,0,-57,8] 2 100912bb2 [0,-1,0,-652,-6180] 2
100912bc (1 curve)	0	2- 7- 17+ 53-	2-  2  2 7-  6  4 17+ -7
Curve Equation t 100912bc1 [0,-1,0,-159517,-24559023] 1
100912bd (2 curves)	2	2- 7- 17- 53+	2-  0 -2 7- -2 -2 17- -4
Curve Equation t Generators 100912bd1 [0,0,0,-89291,9944954] 2 [199:238:1]&[250:1802:1] 100912bd2 [0,0,0,-224971,-27475590] 2 [-377:1938:1]&[677:11424:1]
100912be (1 curve)	0	2- 7- 17- 53+	2-  1  0 7-  5 -4 17-  2
Curve Equation t 100912be1 [0,1,0,-122248,-16492364] 1
100912bf (1 curve)	0	2- 7- 17- 53+	2-  3  2 7-  3  4 17- -6
Curve Equation t 100912bf1 [0,0,0,-444656239,3592601294378] 1
100912bg (1 curve)	1	2- 7- 17- 53-	2-  1 -2 7-  5 -2 17-  0
Curve Equation t Generators 100912bg1 [0,1,0,-1904,-32620] 1 [-5538:17:216]
100912bh (1 curve)	1	2- 7- 17- 53-	2- -2 -2 7-  2  4 17-  3
Curve Equation t Generators 100912bh1 [0,1,0,3451,-29645] 1 [14:147:1]

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