Newforms with rational integer coefficients
Degree 2
These occur as:
- Weight 1 newforms
- Newforms associated with a Grossencharacter of a number field
- Twists by real characters of newforms with integer coefficients
- Newforms associated with rational elliptic curves
- Other
Rational Newforms with (real) character
Newforms on S_k(\Gamma_0(N)) with integral coefficients
- Level 1: Weights
12,
16,
18,
20,
22,
26
- Hecke polynomials for T2
- Level 2: Weights
8 ,
10,
14 (2),
16,
18,
20 (2),
22 (2),
24,
26,
28 (2),
30 (2),
32,
34,
36 (2),
40,
42,
48
- Hecke polynomials for T3
- Level 3: Weights
6 ,
8 ,
10 (2),
12,
14,
16 (2),
18,
20,
22 (2),
24
- Hecke polynomials for T2
- Level 4: Weights
6 ,
10,
12,
14,
16,
20
- Hecke polynomials for T3
- Level 5: Weights
4 ,
6,
8,
10,
12
- Hecke polynomials for T2
- Level 6:
Weights
4 ,
6 ,
8 ,
10 ,
12 (3),
14 ,
16 (3),
18 (3),
20 (3),
22 (3),
24 (24),
26 (3),
28 (3),
- 30 (3),
32 (3),
34 (3),
36 ,
38 (3),
40 ,
42 ,
44 ,
46
- Hecke polynomials for T5
- Level 7: Weights 4, 6, 8
- Hecke polynomials for T2
- Level 8: Weights 4, 6, 8 (2), 10 (2), 12, 14, 16 (2)
- Hecke polynomials for T3
- Level 9: Weights 4, 6, 8, 10 (3), 12 (2), 14, 16 (4),
18 (2), 20 (2), 22 (4), 24, 26, 28, ...
- Hecke polynomials for T2
- Level 10: Weights 4, 6 (3), 8, 10 (3), 12 (3), 14 (3), 16 (3), 18,
20 (3), 22, 26
- Hecke polynomials for T3
- Level 11: Weights 2, 6
- Hecke polynomials for T2
- Level 12: Weights 4, 8 (2), 10, 12 (2), 14 (2), 16, 18 (2), 22
- Hecke polynomials for T5
- Level 13: Weights 4, 8
- Hecke polynomials for T2
- Level 14: Weights 2, 4 (2), 6 (2), 8 (2), 10 (2), 12 (2), 14 (2), 16, 18
- Hecke polynomials for T3
- Level 15: Weights 2, 4 (2), 6 (2), 8 (2), 10 (2), 12, 14, 22,
- Hecke polynomials for T2
- Level 16: Weights 2, 4 (2), 6 (2), 8 (3), 10 (4), 12 (3), 14 (4), 16 (5),
18 (2), 20 (4), 22 (3), ...
- Hecke polynomials for T3
- Level 17: Weights 2, 4, 6 (2), 8
- Hecke polynomials for T2
- Level 18: Weights 4, 6 (3), 8 (2), 10 (4), 12 (5), 14 (5), 16 (6),
- Hecke polynomials for T5
- Level 19: Weights 4, 6 (2)
- Hecke polynomials for T2
- Level 20: Weights 2, 4, 6, 8, 10, 12
- Hecke polynomials for T3