Cremona's table of elliptic curves

32016 = 2⁴ · 3 · 23 · 29

Class	r	Atkin-Lehner	Eigenvalues
32016a (2 curves)	1	2+ 3+ 23+ 29+	2+ 3+  0  2 -2 -2  6 -4
Curve Equation t Generators 32016a1 [0,-1,0,-108,576] 2 [0:24:1] 32016a2 [0,-1,0,-1848,31200] 2 [29:34:1]
32016b (1 curve)	0	2+ 3+ 23- 29+	2+ 3+  0 -4  4 -1 -5  1
Curve Equation t 32016b1 [0,-1,0,-14753,-684819] 1
32016c (2 curves)	2	2+ 3+ 23- 29+	2+ 3+  0 -4 -4 -2  4 -4
Curve Equation t Generators 32016c1 [0,-1,0,-2208,-400176] 2 [200:-2668:1]&[116:944:1] 32016c2 [0,-1,0,-96168,-11374704] 2 [-190:46:1]&[-168:108:1]
32016d (1 curve)	0	2+ 3+ 23- 29+	2+ 3+ -2  2  4 -5 -7  1
Curve Equation t 32016d1 [0,-1,0,-369,-5427] 1
32016e (1 curve)	1	2+ 3+ 23- 29-	2+ 3+  3 -5  0 -2 -3  1
Curve Equation t Generators 32016e1 [0,-1,0,-464,5856] 1 [10:-46:1]
32016f (1 curve)	0	2+ 3- 23+ 29+	2+ 3-  3  4 -3  1  2 -6
Curve Equation t 32016f1 [0,1,0,-38824,-4559452] 1
32016g (2 curves)	1	2+ 3- 23- 29+	2+ 3-  0 -2  6 -2  2  0
Curve Equation t Generators 32016g1 [0,1,0,3012,-18324] 2 [54:552:1] 32016g2 [0,1,0,-12648,-162396] 2 [-105:138:1]
32016h (1 curve)	1	2+ 3- 23- 29+	2+ 3- -2 -1 -1  5  3 -2
Curve Equation t Generators 32016h1 [0,1,0,-4,-373] 1 [17:69:1]
32016i (2 curves)	1	2+ 3- 23- 29+	2+ 3- -2  4 -2 -6  0  6
Curve Equation t Generators 32016i1 [0,1,0,-79,236] 2 [20:84:1] 32016i2 [0,1,0,36,972] 2 [-6:24:1]
32016j (1 curve)	0	2+ 3- 23- 29-	2+ 3- -1  4  5  1  2  6
Curve Equation t 32016j1 [0,1,0,-16,68] 1
32016k (1 curve)	0	2+ 3- 23- 29-	2+ 3-  2  1  5  1 -7 -6
Curve Equation t 32016k1 [0,1,0,-128272,17639903] 1
32016l (1 curve)	0	2- 3+ 23+ 29+	2- 3+  0  0  4  3  3  7
Curve Equation t 32016l1 [0,-1,0,107,541] 1
32016m (2 curves)	0	2- 3+ 23+ 29+	2- 3+  2  0 -2 -6 -8  2
Curve Equation t 32016m1 [0,-1,0,-196392,-35783568] 2 32016m2 [0,-1,0,-3203112,-2205432720] 2
32016n (1 curve)	0	2- 3+ 23+ 29+	2- 3+ -3  3 -2  0  3  1
Curve Equation t 32016n1 [0,-1,0,-7112,-232464] 1
32016o (1 curve)	1	2- 3+ 23+ 29-	2- 3+ -1  0  3 -5 -4 -4
Curve Equation t Generators 32016o1 [0,-1,0,-21216,5693184] 1 [-190:1682:1]
32016p (1 curve)	1	2- 3+ 23+ 29-	2- 3+ -1  3  0 -2  5  5
Curve Equation t Generators 32016p1 [0,-1,0,-443296,-119879936] 1 [7280112:37965824:9261]
32016q (1 curve)	1	2- 3+ 23- 29+	2- 3+ -1  0 -5  3  4 -4
Curve Equation t Generators 32016q1 [0,-1,0,-11176,-926096] 1 [210:2438:1]
32016r (1 curve)	1	2- 3+ 23- 29+	2- 3+ -2 -3 -3  1 -5  2
Curve Equation t Generators 32016r1 [0,-1,0,-8414,-294297] 1 [609:14835:1]
32016s (2 curves)	1	2- 3+ 23- 29+	2- 3+ -3  4 -3  5 -6 -2
Curve Equation t Generators 32016s1 [0,-1,0,-1472,-21504] 1 [322:5726:1] 32016s2 [0,-1,0,5248,-112896] 1 [34:322:1]
32016t (2 curves)	1	2- 3+ 23- 29+	2- 3+  4  0  0 -2  4 -4
Curve Equation t Generators 32016t1 [0,-1,0,-225496,41295088] 2 [252:640:1] 32016t2 [0,-1,0,-3608056,2639101168] 2 [67908:131215:64]
32016u (2 curves)	2	2- 3+ 23- 29-	2- 3+  0 -4  0 -2  4 -8
Curve Equation t Generators 32016u1 [0,-1,0,-1168,18880] 2 [18:-58:1]&[-11:174:1] 32016u2 [0,-1,0,-19728,1073088] 2 [72:144:1]&[-88:1456:1]
32016v (4 curves)	0	2- 3+ 23- 29-	2- 3+ -2  4  0 -2  6 -4
Curve Equation t 32016v1 [0,-1,0,-9104,1295808] 2 32016v2 [0,-1,0,-242384,45898944] 4 32016v3 [0,-1,0,-341744,4803648] 2 32016v4 [0,-1,0,-3875504,2937862464] 4
32016w (1 curve)	0	2- 3+ 23- 29-	2- 3+  3 -1  0 -2  1  1
Curve Equation t 32016w1 [0,-1,0,-28979584,-60036652544] 1
32016x (1 curve)	1	2- 3- 23+ 29+	2- 3-  1 -1  4 -2 -3 -1
Curve Equation t Generators 32016x1 [0,1,0,1040,7892] 1 [102:2944:27]
32016y (1 curve)	1	2- 3- 23+ 29+	2- 3-  1  4 -1  1 -2 -2
Curve Equation t Generators 32016y1 [0,1,0,27760,-15628524] 1 [244:2394:1]
32016z (2 curves)	1	2- 3- 23+ 29+	2- 3- -2  2 -2 -2  0 -4
Curve Equation t Generators 32016z1 [0,1,0,-86864,12350100] 2 [-188:4698:1] 32016z2 [0,1,0,-1486544,697073556] 2 [676:1242:1]
32016ba (2 curves)	1	2- 3- 23+ 29+	2- 3- -2  2  4 -2 -6  2
Curve Equation t Generators 32016ba1 [0,1,0,-3704,-88620] 2 [2010:30885:8] 32016ba2 [0,1,0,-59384,-5589804] 2 [312690:-2551953:1000]
32016bb (2 curves)	1	2- 3- 23+ 29+	2- 3- -2 -2  2 -2  4  4
Curve Equation t Generators 32016bb1 [0,1,0,-1744,657812] 2 [148:1914:1] 32016bb2 [0,1,0,-124624,16730516] 2 [-3300:148258:27]
32016bc (1 curve)	1	2- 3- 23+ 29+	2- 3-  4  4 -4 -5 -5 -5
Curve Equation t Generators 32016bc1 [0,1,0,11019,-5395293] 1 [1674:19785:8]
32016bd (4 curves)	0	2- 3- 23+ 29-	2- 3-  2 -4  0 -2 -6 -4
Curve Equation t 32016bd1 [0,1,0,-752,7380] 2 32016bd2 [0,1,0,-2032,-25900] 4 32016bd3 [0,1,0,5328,-164268] 4 32016bd4 [0,1,0,-29872,-1996972] 2
32016be (2 curves)	0	2- 3- 23- 29+	2- 3-  0  4  0  6  0  0
Curve Equation t 32016be1 [0,1,0,312,-7308] 2 32016be2 [0,1,0,-4328,-101964] 2
32016bf (1 curve)	2	2- 3- 23- 29+	2- 3- -2 -2 -4 -5  5 -7
Curve Equation t Generators 32016bf1 [0,1,0,-69,207] 1 [-6:21:1]&[3:-6:1]
32016bg (1 curve)	1	2- 3- 23- 29-	2- 3-  1 -4  3  1  6 -6
Curve Equation t Generators 32016bg1 [0,1,0,-105800,13352052] 1 [172:-522:1]
32016bh (1 curve)	1	2- 3- 23- 29-	2- 3- -2  5  3  1 -3 -6
Curve Equation t Generators 32016bh1 [0,1,0,166,927] 1 [-51:667:27]
32016bi (1 curve)	1	2- 3- 23- 29-	2- 3-  3  0 -3  3  0 -8
Curve Equation t Generators 32016bi1 [0,1,0,176,3668] 1 [-4:54:1]

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