Newspace parameters
Level: | |||
Weight: | |||
Character orbit: | 2912.h (of order , degree , not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Twist minimal: | no (minimal twist has level 728) |
Sato-Tate group: |
-expansion
The algebraic -expansion of this newform has not been computed, but we have computed the trace expansion.
Embeddings
For each embedding of the coefficient field, the values are shown below.
For more information on an embedded modular form you can click on its label.
Label | |||||||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2575.1 | 0 | − | 3.37415i | 0 | −0.523773 | 0 | 2.30913 | − | 1.29148i | 0 | −8.38487 | 0 | |||||||||||||||
2575.2 | 0 | − | 3.10974i | 0 | 3.50914 | 0 | 1.29016 | − | 2.30987i | 0 | −6.67047 | 0 | |||||||||||||||
2575.3 | 0 | − | 3.06517i | 0 | −4.00290 | 0 | −1.79836 | − | 1.94059i | 0 | −6.39524 | 0 | |||||||||||||||
2575.4 | 0 | − | 3.03518i | 0 | −0.163903 | 0 | −0.919188 | + | 2.48095i | 0 | −6.21234 | 0 | |||||||||||||||
2575.5 | 0 | − | 2.89173i | 0 | −2.33723 | 0 | 1.68858 | + | 2.03684i | 0 | −5.36210 | 0 | |||||||||||||||
2575.6 | 0 | − | 2.65471i | 0 | −0.263032 | 0 | 2.63919 | + | 0.186171i | 0 | −4.04746 | 0 | |||||||||||||||
2575.7 | 0 | − | 2.44281i | 0 | 3.85137 | 0 | −2.49284 | + | 0.886436i | 0 | −2.96733 | 0 | |||||||||||||||
2575.8 | 0 | − | 2.38356i | 0 | −1.68057 | 0 | −1.10198 | − | 2.40533i | 0 | −2.68138 | 0 | |||||||||||||||
2575.9 | 0 | − | 2.32841i | 0 | 2.37629 | 0 | −2.43296 | − | 1.03956i | 0 | −2.42149 | 0 | |||||||||||||||
2575.10 | 0 | − | 2.21460i | 0 | 1.27531 | 0 | −0.643326 | + | 2.56635i | 0 | −1.90445 | 0 | |||||||||||||||
2575.11 | 0 | − | 1.92788i | 0 | −2.16680 | 0 | −1.74001 | + | 1.99308i | 0 | −0.716713 | 0 | |||||||||||||||
2575.12 | 0 | − | 1.61368i | 0 | −3.74465 | 0 | −0.220320 | + | 2.63656i | 0 | 0.396033 | 0 | |||||||||||||||
2575.13 | 0 | − | 1.53313i | 0 | 0.856056 | 0 | −1.33356 | − | 2.28509i | 0 | 0.649528 | 0 | |||||||||||||||
2575.14 | 0 | − | 1.48862i | 0 | 1.02997 | 0 | 1.70779 | − | 2.02076i | 0 | 0.784007 | 0 | |||||||||||||||
2575.15 | 0 | − | 1.40360i | 0 | −3.11493 | 0 | 2.64532 | − | 0.0479799i | 0 | 1.02989 | 0 | |||||||||||||||
2575.16 | 0 | − | 1.35635i | 0 | 2.01767 | 0 | 2.18534 | + | 1.49140i | 0 | 1.16033 | 0 | |||||||||||||||
2575.17 | 0 | − | 1.31268i | 0 | 2.82361 | 0 | −0.786324 | + | 2.52620i | 0 | 1.27686 | 0 | |||||||||||||||
2575.18 | 0 | − | 0.913695i | 0 | −3.26760 | 0 | 0.184260 | − | 2.63933i | 0 | 2.16516 | 0 | |||||||||||||||
2575.19 | 0 | − | 0.788146i | 0 | −0.604005 | 0 | 2.57195 | + | 0.620533i | 0 | 2.37883 | 0 | |||||||||||||||
2575.20 | 0 | − | 0.742757i | 0 | 2.66467 | 0 | −2.25806 | − | 1.37882i | 0 | 2.44831 | 0 | |||||||||||||||
See all 48 embeddings |
Inner twists
Char | Parity | Ord | Mult | Type |
---|---|---|---|---|
1.a | even | 1 | 1 | trivial |
56.e | even | 2 | 1 | inner |
Twists
By twisting character orbit | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Mult | Type | Twist | Min | Dim |
1.a | even | 1 | 1 | trivial | 2912.2.h.a | 48 | |
4.b | odd | 2 | 1 | 728.2.h.a | ✓ | 48 | |
7.b | odd | 2 | 1 | 2912.2.h.b | 48 | ||
8.b | even | 2 | 1 | 728.2.h.b | yes | 48 | |
8.d | odd | 2 | 1 | 2912.2.h.b | 48 | ||
28.d | even | 2 | 1 | 728.2.h.b | yes | 48 | |
56.e | even | 2 | 1 | inner | 2912.2.h.a | 48 | |
56.h | odd | 2 | 1 | 728.2.h.a | ✓ | 48 |
By twisted newform orbit | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Mult | Type |
728.2.h.a | ✓ | 48 | 4.b | odd | 2 | 1 | |
728.2.h.a | ✓ | 48 | 56.h | odd | 2 | 1 | |
728.2.h.b | yes | 48 | 8.b | even | 2 | 1 | |
728.2.h.b | yes | 48 | 28.d | even | 2 | 1 | |
2912.2.h.a | 48 | 1.a | even | 1 | 1 | trivial | |
2912.2.h.a | 48 | 56.e | even | 2 | 1 | inner | |
2912.2.h.b | 48 | 7.b | odd | 2 | 1 | ||
2912.2.h.b | 48 | 8.d | odd | 2 | 1 |